0.002 * [progress]: [Phase 1 of 3] Setting up.
0.003 * * * [progress]: [1/2] Preparing points
0.185 * * * [progress]: [2/2] Setting up program.
0.190 * [progress]: [Phase 2 of 3] Improving.
0.190 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))>
0.191 * [simplify]: Simplifying (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))
0.191 * * [simplify]: iters left: 6 (17 enodes)
0.200 * * [simplify]: iters left: 5 (66 enodes)
0.220 * * [simplify]: iters left: 4 (115 enodes)
0.304 * * [simplify]: iters left: 3 (316 enodes)
0.467 * * [simplify]: Extracting #0: cost 1 inf + 0
0.468 * * [simplify]: Extracting #1: cost 4 inf + 0
0.468 * * [simplify]: Extracting #2: cost 5 inf + 1
0.468 * * [simplify]: Extracting #3: cost 21 inf + 1
0.468 * * [simplify]: Extracting #4: cost 141 inf + 1
0.469 * * [simplify]: Extracting #5: cost 198 inf + 87
0.471 * * [simplify]: Extracting #6: cost 200 inf + 1646
0.475 * * [simplify]: Extracting #7: cost 138 inf + 13192
0.492 * * [simplify]: Extracting #8: cost 16 inf + 50477
0.514 * * [simplify]: Extracting #9: cost 0 inf + 55914
0.535 * [simplify]: Simplified to (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) R)
0.535 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) R))
0.544 * * [progress]: iteration 1 / 4
0.544 * * * [progress]: picking best candidate
0.552 * * * * [pick]: Picked  #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))>
0.552 * * * [progress]: localizing error
0.618 * * * [progress]: generating rewritten candidates
0.618 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
0.719 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2 2)
0.734 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 2)
0.749 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1)
0.829 * * * [progress]: generating series expansions
0.829 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
0.831 * [backup-simplify]: Simplify (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) into (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))))
0.831 * [approximate]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in (lambda1 lambda2 phi1 phi2) around 0
0.831 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in phi2
0.831 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in phi2
0.831 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in phi2
0.831 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in phi2
0.831 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2
0.831 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2
0.831 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2
0.831 * [taylor]: Taking taylor expansion of 1/2 in phi2
0.831 * [backup-simplify]: Simplify 1/2 into 1/2
0.831 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2
0.831 * [taylor]: Taking taylor expansion of phi1 in phi2
0.831 * [backup-simplify]: Simplify phi1 into phi1
0.831 * [taylor]: Taking taylor expansion of phi2 in phi2
0.831 * [backup-simplify]: Simplify 0 into 0
0.831 * [backup-simplify]: Simplify 1 into 1
0.832 * [backup-simplify]: Simplify (+ phi1 0) into phi1
0.832 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1)
0.832 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
0.832 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
0.833 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1))
0.833 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0
0.834 * [backup-simplify]: Simplify (- 0) into 0
0.834 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1))
0.834 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2
0.834 * [taylor]: Taking taylor expansion of lambda1 in phi2
0.834 * [backup-simplify]: Simplify lambda1 into lambda1
0.834 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in phi2
0.834 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2
0.834 * [taylor]: Taking taylor expansion of phi2 in phi2
0.834 * [backup-simplify]: Simplify 0 into 0
0.834 * [backup-simplify]: Simplify 1 into 1
0.834 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in phi2
0.834 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2
0.834 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2
0.834 * [taylor]: Taking taylor expansion of lambda2 in phi2
0.834 * [backup-simplify]: Simplify lambda2 into lambda2
0.834 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2
0.834 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2
0.834 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2
0.834 * [taylor]: Taking taylor expansion of 1/2 in phi2
0.834 * [backup-simplify]: Simplify 1/2 into 1/2
0.834 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2
0.834 * [taylor]: Taking taylor expansion of phi1 in phi2
0.834 * [backup-simplify]: Simplify phi1 into phi1
0.834 * [taylor]: Taking taylor expansion of phi2 in phi2
0.834 * [backup-simplify]: Simplify 0 into 0
0.834 * [backup-simplify]: Simplify 1 into 1
0.834 * [backup-simplify]: Simplify (+ phi1 0) into phi1
0.834 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1)
0.834 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
0.834 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
0.834 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1))
0.834 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0
0.835 * [backup-simplify]: Simplify (- 0) into 0
0.835 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1))
0.835 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2
0.835 * [taylor]: Taking taylor expansion of phi1 in phi2
0.835 * [backup-simplify]: Simplify phi1 into phi1
0.835 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in phi2
0.835 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi2
0.835 * [taylor]: Taking taylor expansion of 2 in phi2
0.835 * [backup-simplify]: Simplify 2 into 2
0.835 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2
0.835 * [taylor]: Taking taylor expansion of phi1 in phi2
0.835 * [backup-simplify]: Simplify phi1 into phi1
0.835 * [taylor]: Taking taylor expansion of phi2 in phi2
0.835 * [backup-simplify]: Simplify 0 into 0
0.835 * [backup-simplify]: Simplify 1 into 1
0.835 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in phi2
0.835 * [taylor]: Taking taylor expansion of 2 in phi2
0.835 * [backup-simplify]: Simplify 2 into 2
0.835 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in phi2
0.835 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2
0.835 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2
0.835 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2
0.835 * [taylor]: Taking taylor expansion of 1/2 in phi2
0.835 * [backup-simplify]: Simplify 1/2 into 1/2
0.835 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2
0.835 * [taylor]: Taking taylor expansion of phi1 in phi2
0.835 * [backup-simplify]: Simplify phi1 into phi1
0.835 * [taylor]: Taking taylor expansion of phi2 in phi2
0.835 * [backup-simplify]: Simplify 0 into 0
0.835 * [backup-simplify]: Simplify 1 into 1
0.835 * [backup-simplify]: Simplify (+ phi1 0) into phi1
0.835 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1)
0.836 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
0.836 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
0.836 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1))
0.836 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0
0.836 * [backup-simplify]: Simplify (- 0) into 0
0.836 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1))
0.836 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi2
0.836 * [taylor]: Taking taylor expansion of lambda2 in phi2
0.836 * [backup-simplify]: Simplify lambda2 into lambda2
0.836 * [taylor]: Taking taylor expansion of lambda1 in phi2
0.836 * [backup-simplify]: Simplify lambda1 into lambda1
0.836 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2)
0.837 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2)
0.837 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) into (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2))
0.837 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2)
0.837 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2)
0.837 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2))
0.837 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2)
0.837 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))
0.837 * [backup-simplify]: Simplify (+ 0 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))
0.838 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2))))
0.838 * [backup-simplify]: Simplify (* phi1 0) into 0
0.838 * [backup-simplify]: Simplify (* 2 0) into 0
0.838 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2)
0.838 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
0.839 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi1)) 2) (* lambda2 lambda1)) into (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))
0.839 * [backup-simplify]: Simplify (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) into (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))
0.839 * [backup-simplify]: Simplify (+ 0 (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))
0.839 * [backup-simplify]: Simplify (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))
0.840 * [backup-simplify]: Simplify (+ (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) into (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))
0.840 * [backup-simplify]: Simplify (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) into (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))))
0.840 * [backup-simplify]: Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0
0.842 * [backup-simplify]: Simplify (+ 0) into 0
0.842 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0
0.843 * [backup-simplify]: Simplify (+ 0 1) into 1
0.844 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi1)) into 1/2
0.845 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
0.846 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1)))
0.846 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1))))
0.846 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1))))
0.846 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) (- (* 1/2 (sin (* 1/2 phi1))))) (* (- (* 1/2 (sin (* 1/2 phi1)))) (cos (* 1/2 phi1)))) into (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))
0.847 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) 0) (* (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) (pow lambda1 2))) into (- (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))))
0.848 * [backup-simplify]: Simplify (+ 0) into 0
0.848 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0
0.849 * [backup-simplify]: Simplify (+ 0 1) into 1
0.850 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi1)) into 1/2
0.851 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
0.851 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1)))
0.851 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1))))
0.852 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1))))
0.852 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) (- (* 1/2 (sin (* 1/2 phi1))))) (* (- (* 1/2 (sin (* 1/2 phi1)))) (cos (* 1/2 phi1)))) into (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))
0.852 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
0.853 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) (* 0 (pow (cos (* 1/2 phi1)) 2))) into (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))
0.853 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0
0.853 * [backup-simplify]: Simplify (+ (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 0) into (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))
0.854 * [backup-simplify]: Simplify (+ 0 (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) into (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))
0.854 * [backup-simplify]: Simplify (+ (- (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2)))) (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) into (- (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))
0.855 * [backup-simplify]: Simplify (+ (* phi1 1) (* 0 0)) into phi1
0.855 * [backup-simplify]: Simplify (+ (* 2 phi1) (* 0 0)) into (* 2 phi1)
0.855 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda1)) into 0
0.856 * [backup-simplify]: Simplify (+ 0) into 0
0.857 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0
0.857 * [backup-simplify]: Simplify (+ 0 1) into 1
0.858 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi1)) into 1/2
0.858 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
0.859 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1)))
0.859 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1))))
0.859 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1))))
0.860 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) (- (* 1/2 (sin (* 1/2 phi1))))) (* (- (* 1/2 (sin (* 1/2 phi1)))) (cos (* 1/2 phi1)))) into (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))
0.860 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) 0) (* (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) (* lambda2 lambda1))) into (- (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1))))
0.861 * [backup-simplify]: Simplify (+ (* 2 (- (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1))))) (* 0 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))))
0.861 * [backup-simplify]: Simplify (+ (* 2 phi1) (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))))) into (- (* 2 phi1) (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))))
0.862 * [backup-simplify]: Simplify (- (- (* 2 phi1) (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))))) into (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (* 2 phi1))
0.863 * [backup-simplify]: Simplify (+ (- (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (* 2 phi1))) into (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (+ (* 2 phi1) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))))
0.865 * [backup-simplify]: Simplify (/ (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (+ (* 2 phi1) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))) (* 2 (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))))) into (* 1/2 (* (sqrt (/ 1 (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))))) (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (+ (* 2 phi1) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))))))
0.865 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in phi1
0.865 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in phi1
0.865 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in phi1
0.865 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in phi1
0.865 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1
0.865 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1
0.865 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1
0.865 * [taylor]: Taking taylor expansion of 1/2 in phi1
0.865 * [backup-simplify]: Simplify 1/2 into 1/2
0.865 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1
0.865 * [taylor]: Taking taylor expansion of phi1 in phi1
0.865 * [backup-simplify]: Simplify 0 into 0
0.865 * [backup-simplify]: Simplify 1 into 1
0.865 * [taylor]: Taking taylor expansion of phi2 in phi1
0.865 * [backup-simplify]: Simplify phi2 into phi2
0.865 * [backup-simplify]: Simplify (+ 0 phi2) into phi2
0.865 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2)
0.865 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
0.865 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
0.865 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
0.866 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0
0.866 * [backup-simplify]: Simplify (- 0) into 0
0.866 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
0.866 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1
0.866 * [taylor]: Taking taylor expansion of lambda1 in phi1
0.866 * [backup-simplify]: Simplify lambda1 into lambda1
0.866 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in phi1
0.866 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1
0.866 * [taylor]: Taking taylor expansion of phi2 in phi1
0.866 * [backup-simplify]: Simplify phi2 into phi2
0.866 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in phi1
0.866 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1
0.866 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1
0.866 * [taylor]: Taking taylor expansion of lambda2 in phi1
0.866 * [backup-simplify]: Simplify lambda2 into lambda2
0.867 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1
0.867 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1
0.867 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1
0.867 * [taylor]: Taking taylor expansion of 1/2 in phi1
0.867 * [backup-simplify]: Simplify 1/2 into 1/2
0.867 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1
0.867 * [taylor]: Taking taylor expansion of phi1 in phi1
0.867 * [backup-simplify]: Simplify 0 into 0
0.867 * [backup-simplify]: Simplify 1 into 1
0.867 * [taylor]: Taking taylor expansion of phi2 in phi1
0.867 * [backup-simplify]: Simplify phi2 into phi2
0.867 * [backup-simplify]: Simplify (+ 0 phi2) into phi2
0.867 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2)
0.867 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
0.867 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
0.867 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
0.867 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0
0.868 * [backup-simplify]: Simplify (- 0) into 0
0.868 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
0.868 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1
0.868 * [taylor]: Taking taylor expansion of phi1 in phi1
0.868 * [backup-simplify]: Simplify 0 into 0
0.868 * [backup-simplify]: Simplify 1 into 1
0.868 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in phi1
0.868 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1
0.868 * [taylor]: Taking taylor expansion of 2 in phi1
0.868 * [backup-simplify]: Simplify 2 into 2
0.868 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1
0.868 * [taylor]: Taking taylor expansion of phi1 in phi1
0.868 * [backup-simplify]: Simplify 0 into 0
0.868 * [backup-simplify]: Simplify 1 into 1
0.868 * [taylor]: Taking taylor expansion of phi2 in phi1
0.868 * [backup-simplify]: Simplify phi2 into phi2
0.868 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in phi1
0.868 * [taylor]: Taking taylor expansion of 2 in phi1
0.868 * [backup-simplify]: Simplify 2 into 2
0.868 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in phi1
0.868 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1
0.868 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1
0.868 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1
0.868 * [taylor]: Taking taylor expansion of 1/2 in phi1
0.868 * [backup-simplify]: Simplify 1/2 into 1/2
0.868 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1
0.868 * [taylor]: Taking taylor expansion of phi1 in phi1
0.868 * [backup-simplify]: Simplify 0 into 0
0.868 * [backup-simplify]: Simplify 1 into 1
0.868 * [taylor]: Taking taylor expansion of phi2 in phi1
0.868 * [backup-simplify]: Simplify phi2 into phi2
0.869 * [backup-simplify]: Simplify (+ 0 phi2) into phi2
0.869 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2)
0.869 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
0.869 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
0.869 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
0.869 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0
0.869 * [backup-simplify]: Simplify (- 0) into 0
0.869 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
0.869 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi1
0.869 * [taylor]: Taking taylor expansion of lambda2 in phi1
0.869 * [backup-simplify]: Simplify lambda2 into lambda2
0.870 * [taylor]: Taking taylor expansion of lambda1 in phi1
0.870 * [backup-simplify]: Simplify lambda1 into lambda1
0.870 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2)
0.870 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2)
0.870 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2))
0.870 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
0.870 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2)
0.870 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2)
0.870 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 phi2)) 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))
0.871 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 0) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))
0.871 * [backup-simplify]: Simplify (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) into (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))
0.871 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) into (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))))
0.871 * [backup-simplify]: Simplify (* 0 phi2) into 0
0.872 * [backup-simplify]: Simplify (* 2 0) into 0
0.872 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2)
0.872 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
0.872 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) into (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))
0.872 * [backup-simplify]: Simplify (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) into (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))
0.873 * [backup-simplify]: Simplify (+ 0 (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))
0.873 * [backup-simplify]: Simplify (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))
0.874 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) into (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))
0.875 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))
0.875 * [backup-simplify]: Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0
0.875 * [backup-simplify]: Simplify (+ 0) into 0
0.876 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0
0.876 * [backup-simplify]: Simplify (+ 1 0) into 1
0.877 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2
0.878 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
0.878 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2)))
0.878 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2))))
0.878 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2))))
0.879 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))))
0.879 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) 0) (* (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) (pow lambda1 2))) into (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2))))))
0.880 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0
0.880 * [backup-simplify]: Simplify (+ 0) into 0
0.880 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0
0.881 * [backup-simplify]: Simplify (+ 1 0) into 1
0.881 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2
0.883 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
0.883 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2)))
0.883 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2))))
0.883 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2))))
0.884 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))))
0.884 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
0.884 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))))) (* 0 (pow (cos (* 1/2 phi2)) 2))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))))))
0.885 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 0) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))))))
0.886 * [backup-simplify]: Simplify (+ 0 (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))))))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))))))
0.888 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))))) (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))))))) into (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))))
0.888 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2
0.889 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2)
0.889 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda1)) into 0
0.889 * [backup-simplify]: Simplify (+ 0) into 0
0.890 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0
0.890 * [backup-simplify]: Simplify (+ 1 0) into 1
0.891 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2
0.892 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
0.892 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2)))
0.892 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2))))
0.892 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2))))
0.893 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))))
0.893 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) 0) (* (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) (* lambda2 lambda1))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1))))))
0.894 * [backup-simplify]: Simplify (+ (* 2 (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1))))))) (* 0 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))))
0.894 * [backup-simplify]: Simplify (+ (* 2 phi2) (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))))) into (- (* 2 phi2) (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))))
0.895 * [backup-simplify]: Simplify (- (- (* 2 phi2) (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))))) into (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (* 2 phi2))
0.896 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))))) (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (* 2 phi2))) into (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* 2 phi2) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))))))
0.902 * [backup-simplify]: Simplify (/ (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* 2 phi2) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) into (* 1/2 (* (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* 2 phi2) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))))
0.902 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda2
0.902 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda2
0.902 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda2
0.902 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda2
0.902 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
0.902 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
0.902 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
0.902 * [taylor]: Taking taylor expansion of 1/2 in lambda2
0.902 * [backup-simplify]: Simplify 1/2 into 1/2
0.902 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2
0.902 * [taylor]: Taking taylor expansion of phi1 in lambda2
0.902 * [backup-simplify]: Simplify phi1 into phi1
0.902 * [taylor]: Taking taylor expansion of phi2 in lambda2
0.902 * [backup-simplify]: Simplify phi2 into phi2
0.902 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
0.902 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
0.902 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
0.902 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
0.902 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
0.902 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
0.903 * [backup-simplify]: Simplify (- 0) into 0
0.904 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
0.904 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2
0.904 * [taylor]: Taking taylor expansion of lambda1 in lambda2
0.904 * [backup-simplify]: Simplify lambda1 into lambda1
0.904 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2
0.904 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2
0.904 * [taylor]: Taking taylor expansion of phi2 in lambda2
0.904 * [backup-simplify]: Simplify phi2 into phi2
0.904 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2
0.904 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2
0.904 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2
0.904 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.904 * [backup-simplify]: Simplify 0 into 0
0.904 * [backup-simplify]: Simplify 1 into 1
0.904 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
0.904 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
0.904 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
0.904 * [taylor]: Taking taylor expansion of 1/2 in lambda2
0.904 * [backup-simplify]: Simplify 1/2 into 1/2
0.904 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2
0.904 * [taylor]: Taking taylor expansion of phi1 in lambda2
0.904 * [backup-simplify]: Simplify phi1 into phi1
0.904 * [taylor]: Taking taylor expansion of phi2 in lambda2
0.904 * [backup-simplify]: Simplify phi2 into phi2
0.904 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
0.904 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
0.904 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
0.904 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
0.904 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
0.904 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
0.905 * [backup-simplify]: Simplify (- 0) into 0
0.905 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
0.905 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2
0.905 * [taylor]: Taking taylor expansion of phi1 in lambda2
0.905 * [backup-simplify]: Simplify phi1 into phi1
0.905 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda2
0.905 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2
0.905 * [taylor]: Taking taylor expansion of 2 in lambda2
0.905 * [backup-simplify]: Simplify 2 into 2
0.905 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2
0.905 * [taylor]: Taking taylor expansion of phi1 in lambda2
0.905 * [backup-simplify]: Simplify phi1 into phi1
0.905 * [taylor]: Taking taylor expansion of phi2 in lambda2
0.905 * [backup-simplify]: Simplify phi2 into phi2
0.905 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda2
0.905 * [taylor]: Taking taylor expansion of 2 in lambda2
0.905 * [backup-simplify]: Simplify 2 into 2
0.905 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda2
0.905 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
0.905 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
0.905 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
0.905 * [taylor]: Taking taylor expansion of 1/2 in lambda2
0.905 * [backup-simplify]: Simplify 1/2 into 1/2
0.905 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2
0.905 * [taylor]: Taking taylor expansion of phi1 in lambda2
0.905 * [backup-simplify]: Simplify phi1 into phi1
0.905 * [taylor]: Taking taylor expansion of phi2 in lambda2
0.905 * [backup-simplify]: Simplify phi2 into phi2
0.905 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
0.905 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
0.905 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
0.905 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
0.905 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
0.905 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
0.906 * [backup-simplify]: Simplify (- 0) into 0
0.906 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
0.906 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda2
0.906 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.906 * [backup-simplify]: Simplify 0 into 0
0.906 * [backup-simplify]: Simplify 1 into 1
0.906 * [taylor]: Taking taylor expansion of lambda1 in lambda2
0.906 * [backup-simplify]: Simplify lambda1 into lambda1
0.906 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
0.906 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2)
0.906 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) into (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))
0.906 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
0.906 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2)
0.906 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2)
0.906 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2))
0.906 * [backup-simplify]: Simplify (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (+ (pow phi2 2) (pow phi1 2))) into (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
0.906 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2)
0.906 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2))
0.907 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
0.907 * [backup-simplify]: Simplify (* 0 lambda1) into 0
0.907 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0
0.907 * [backup-simplify]: Simplify (* 2 0) into 0
0.907 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2))
0.907 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2)))
0.907 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))
0.908 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2))))
0.908 * [backup-simplify]: Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0
0.908 * [backup-simplify]: Simplify (+ 0) into 0
0.909 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
0.909 * [backup-simplify]: Simplify (+ 0 0) into 0
0.909 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0
0.910 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.910 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
0.910 * [backup-simplify]: Simplify (- 0) into 0
0.911 * [backup-simplify]: Simplify (+ 0 0) into 0
0.911 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0
0.911 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) (* 0 (pow lambda1 2))) into 0
0.911 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0
0.911 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0
0.912 * [backup-simplify]: Simplify (+ 0 0) into 0
0.912 * [backup-simplify]: Simplify (+ 0 0) into 0
0.912 * [backup-simplify]: Simplify (+ 0 0) into 0
0.912 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0
0.913 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0
0.913 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda1)) into lambda1
0.913 * [backup-simplify]: Simplify (+ 0) into 0
0.913 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
0.914 * [backup-simplify]: Simplify (+ 0 0) into 0
0.914 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0
0.915 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.915 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
0.915 * [backup-simplify]: Simplify (- 0) into 0
0.915 * [backup-simplify]: Simplify (+ 0 0) into 0
0.916 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0
0.916 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1) (* 0 0)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)
0.916 * [backup-simplify]: Simplify (+ (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)) (* 0 0)) into (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))
0.916 * [backup-simplify]: Simplify (+ 0 (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) into (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))
0.917 * [backup-simplify]: Simplify (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)))
0.917 * [backup-simplify]: Simplify (+ 0 (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)))
0.917 * [backup-simplify]: Simplify (/ (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))))))
0.917 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda1
0.917 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda1
0.917 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda1
0.917 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda1
0.917 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1
0.917 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1
0.917 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1
0.917 * [taylor]: Taking taylor expansion of 1/2 in lambda1
0.917 * [backup-simplify]: Simplify 1/2 into 1/2
0.917 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1
0.918 * [taylor]: Taking taylor expansion of phi1 in lambda1
0.918 * [backup-simplify]: Simplify phi1 into phi1
0.918 * [taylor]: Taking taylor expansion of phi2 in lambda1
0.918 * [backup-simplify]: Simplify phi2 into phi2
0.918 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
0.918 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
0.918 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
0.918 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
0.918 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
0.918 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
0.918 * [backup-simplify]: Simplify (- 0) into 0
0.918 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
0.918 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1
0.918 * [taylor]: Taking taylor expansion of lambda1 in lambda1
0.918 * [backup-simplify]: Simplify 0 into 0
0.918 * [backup-simplify]: Simplify 1 into 1
0.918 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda1
0.918 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1
0.918 * [taylor]: Taking taylor expansion of phi2 in lambda1
0.918 * [backup-simplify]: Simplify phi2 into phi2
0.918 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda1
0.918 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1
0.918 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1
0.918 * [taylor]: Taking taylor expansion of lambda2 in lambda1
0.918 * [backup-simplify]: Simplify lambda2 into lambda2
0.918 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1
0.918 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1
0.918 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1
0.918 * [taylor]: Taking taylor expansion of 1/2 in lambda1
0.918 * [backup-simplify]: Simplify 1/2 into 1/2
0.919 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1
0.919 * [taylor]: Taking taylor expansion of phi1 in lambda1
0.919 * [backup-simplify]: Simplify phi1 into phi1
0.919 * [taylor]: Taking taylor expansion of phi2 in lambda1
0.919 * [backup-simplify]: Simplify phi2 into phi2
0.919 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
0.919 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
0.919 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
0.919 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
0.919 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
0.919 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
0.919 * [backup-simplify]: Simplify (- 0) into 0
0.919 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
0.919 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1
0.919 * [taylor]: Taking taylor expansion of phi1 in lambda1
0.919 * [backup-simplify]: Simplify phi1 into phi1
0.919 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda1
0.919 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda1
0.919 * [taylor]: Taking taylor expansion of 2 in lambda1
0.919 * [backup-simplify]: Simplify 2 into 2
0.919 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1
0.919 * [taylor]: Taking taylor expansion of phi1 in lambda1
0.919 * [backup-simplify]: Simplify phi1 into phi1
0.919 * [taylor]: Taking taylor expansion of phi2 in lambda1
0.919 * [backup-simplify]: Simplify phi2 into phi2
0.919 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda1
0.919 * [taylor]: Taking taylor expansion of 2 in lambda1
0.919 * [backup-simplify]: Simplify 2 into 2
0.919 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda1
0.919 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1
0.919 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1
0.919 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1
0.920 * [taylor]: Taking taylor expansion of 1/2 in lambda1
0.920 * [backup-simplify]: Simplify 1/2 into 1/2
0.920 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1
0.920 * [taylor]: Taking taylor expansion of phi1 in lambda1
0.920 * [backup-simplify]: Simplify phi1 into phi1
0.920 * [taylor]: Taking taylor expansion of phi2 in lambda1
0.920 * [backup-simplify]: Simplify phi2 into phi2
0.920 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
0.920 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
0.920 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
0.920 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
0.920 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
0.920 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
0.920 * [backup-simplify]: Simplify (- 0) into 0
0.920 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
0.920 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1
0.920 * [taylor]: Taking taylor expansion of lambda2 in lambda1
0.920 * [backup-simplify]: Simplify lambda2 into lambda2
0.920 * [taylor]: Taking taylor expansion of lambda1 in lambda1
0.920 * [backup-simplify]: Simplify 0 into 0
0.920 * [backup-simplify]: Simplify 1 into 1
0.920 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
0.920 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2)
0.920 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
0.921 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))
0.921 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2)
0.921 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))
0.921 * [backup-simplify]: Simplify (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))
0.921 * [backup-simplify]: Simplify (+ 0 (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))
0.921 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2)
0.921 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2))
0.922 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
0.922 * [backup-simplify]: Simplify (* lambda2 0) into 0
0.922 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0
0.922 * [backup-simplify]: Simplify (* 2 0) into 0
0.922 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2))
0.922 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2)))
0.922 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))
0.923 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))
0.923 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0
0.923 * [backup-simplify]: Simplify (+ 0) into 0
0.923 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
0.924 * [backup-simplify]: Simplify (+ 0 0) into 0
0.924 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0
0.924 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.925 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
0.925 * [backup-simplify]: Simplify (- 0) into 0
0.925 * [backup-simplify]: Simplify (+ 0 0) into 0
0.925 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0
0.925 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
0.925 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0
0.926 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0
0.926 * [backup-simplify]: Simplify (+ 0 0) into 0
0.926 * [backup-simplify]: Simplify (+ 0 0) into 0
0.927 * [backup-simplify]: Simplify (+ 0 0) into 0
0.927 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0
0.927 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0
0.928 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2
0.928 * [backup-simplify]: Simplify (+ 0) into 0
0.929 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
0.929 * [backup-simplify]: Simplify (+ 0 0) into 0
0.930 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0
0.930 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.931 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
0.931 * [backup-simplify]: Simplify (- 0) into 0
0.932 * [backup-simplify]: Simplify (+ 0 0) into 0
0.932 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0
0.932 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (* 0 0)) into (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))
0.933 * [backup-simplify]: Simplify (+ (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0)) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
0.933 * [backup-simplify]: Simplify (+ 0 (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
0.934 * [backup-simplify]: Simplify (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
0.934 * [backup-simplify]: Simplify (+ 0 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
0.935 * [backup-simplify]: Simplify (/ (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))))
0.935 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda1
0.935 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda1
0.935 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda1
0.935 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda1
0.935 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1
0.935 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1
0.935 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1
0.935 * [taylor]: Taking taylor expansion of 1/2 in lambda1
0.935 * [backup-simplify]: Simplify 1/2 into 1/2
0.935 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1
0.935 * [taylor]: Taking taylor expansion of phi1 in lambda1
0.935 * [backup-simplify]: Simplify phi1 into phi1
0.936 * [taylor]: Taking taylor expansion of phi2 in lambda1
0.936 * [backup-simplify]: Simplify phi2 into phi2
0.936 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
0.936 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
0.936 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
0.936 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
0.936 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
0.936 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
0.937 * [backup-simplify]: Simplify (- 0) into 0
0.937 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
0.937 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1
0.937 * [taylor]: Taking taylor expansion of lambda1 in lambda1
0.937 * [backup-simplify]: Simplify 0 into 0
0.937 * [backup-simplify]: Simplify 1 into 1
0.937 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda1
0.937 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1
0.937 * [taylor]: Taking taylor expansion of phi2 in lambda1
0.937 * [backup-simplify]: Simplify phi2 into phi2
0.937 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda1
0.937 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1
0.937 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1
0.937 * [taylor]: Taking taylor expansion of lambda2 in lambda1
0.937 * [backup-simplify]: Simplify lambda2 into lambda2
0.937 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1
0.937 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1
0.937 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1
0.937 * [taylor]: Taking taylor expansion of 1/2 in lambda1
0.937 * [backup-simplify]: Simplify 1/2 into 1/2
0.937 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1
0.937 * [taylor]: Taking taylor expansion of phi1 in lambda1
0.937 * [backup-simplify]: Simplify phi1 into phi1
0.937 * [taylor]: Taking taylor expansion of phi2 in lambda1
0.937 * [backup-simplify]: Simplify phi2 into phi2
0.937 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
0.937 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
0.938 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
0.938 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
0.938 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
0.938 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
0.938 * [backup-simplify]: Simplify (- 0) into 0
0.938 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
0.938 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1
0.938 * [taylor]: Taking taylor expansion of phi1 in lambda1
0.938 * [backup-simplify]: Simplify phi1 into phi1
0.939 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda1
0.939 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda1
0.939 * [taylor]: Taking taylor expansion of 2 in lambda1
0.939 * [backup-simplify]: Simplify 2 into 2
0.939 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1
0.939 * [taylor]: Taking taylor expansion of phi1 in lambda1
0.939 * [backup-simplify]: Simplify phi1 into phi1
0.939 * [taylor]: Taking taylor expansion of phi2 in lambda1
0.939 * [backup-simplify]: Simplify phi2 into phi2
0.939 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda1
0.939 * [taylor]: Taking taylor expansion of 2 in lambda1
0.939 * [backup-simplify]: Simplify 2 into 2
0.939 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda1
0.939 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1
0.939 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1
0.939 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1
0.939 * [taylor]: Taking taylor expansion of 1/2 in lambda1
0.939 * [backup-simplify]: Simplify 1/2 into 1/2
0.939 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1
0.939 * [taylor]: Taking taylor expansion of phi1 in lambda1
0.939 * [backup-simplify]: Simplify phi1 into phi1
0.939 * [taylor]: Taking taylor expansion of phi2 in lambda1
0.939 * [backup-simplify]: Simplify phi2 into phi2
0.939 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
0.939 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
0.939 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
0.939 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
0.940 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
0.940 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
0.940 * [backup-simplify]: Simplify (- 0) into 0
0.940 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
0.940 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1
0.940 * [taylor]: Taking taylor expansion of lambda2 in lambda1
0.940 * [backup-simplify]: Simplify lambda2 into lambda2
0.940 * [taylor]: Taking taylor expansion of lambda1 in lambda1
0.940 * [backup-simplify]: Simplify 0 into 0
0.940 * [backup-simplify]: Simplify 1 into 1
0.940 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
0.941 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2)
0.941 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
0.941 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))
0.941 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2)
0.941 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))
0.942 * [backup-simplify]: Simplify (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))
0.943 * [backup-simplify]: Simplify (+ 0 (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))
0.943 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2)
0.943 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2))
0.943 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
0.943 * [backup-simplify]: Simplify (* lambda2 0) into 0
0.943 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0
0.944 * [backup-simplify]: Simplify (* 2 0) into 0
0.944 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2))
0.944 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2)))
0.945 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))
0.945 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))
0.946 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0
0.946 * [backup-simplify]: Simplify (+ 0) into 0
0.947 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
0.947 * [backup-simplify]: Simplify (+ 0 0) into 0
0.947 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0
0.948 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.949 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
0.949 * [backup-simplify]: Simplify (- 0) into 0
0.950 * [backup-simplify]: Simplify (+ 0 0) into 0
0.950 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0
0.950 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
0.950 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0
0.950 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0
0.951 * [backup-simplify]: Simplify (+ 0 0) into 0
0.951 * [backup-simplify]: Simplify (+ 0 0) into 0
0.951 * [backup-simplify]: Simplify (+ 0 0) into 0
0.951 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0
0.952 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0
0.952 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2
0.953 * [backup-simplify]: Simplify (+ 0) into 0
0.953 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
0.954 * [backup-simplify]: Simplify (+ 0 0) into 0
0.954 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0
0.955 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.956 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
0.956 * [backup-simplify]: Simplify (- 0) into 0
0.956 * [backup-simplify]: Simplify (+ 0 0) into 0
0.957 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0
0.957 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (* 0 0)) into (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))
0.958 * [backup-simplify]: Simplify (+ (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0)) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
0.958 * [backup-simplify]: Simplify (+ 0 (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
0.958 * [backup-simplify]: Simplify (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
0.959 * [backup-simplify]: Simplify (+ 0 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
0.960 * [backup-simplify]: Simplify (/ (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))))
0.960 * [taylor]: Taking taylor expansion of (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2
0.960 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2
0.960 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2
0.960 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2
0.960 * [taylor]: Taking taylor expansion of phi2 in lambda2
0.960 * [backup-simplify]: Simplify phi2 into phi2
0.960 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2
0.960 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2
0.960 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2
0.960 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.960 * [backup-simplify]: Simplify 0 into 0
0.960 * [backup-simplify]: Simplify 1 into 1
0.960 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
0.960 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
0.960 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
0.961 * [taylor]: Taking taylor expansion of 1/2 in lambda2
0.961 * [backup-simplify]: Simplify 1/2 into 1/2
0.961 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2
0.961 * [taylor]: Taking taylor expansion of phi1 in lambda2
0.961 * [backup-simplify]: Simplify phi1 into phi1
0.961 * [taylor]: Taking taylor expansion of phi2 in lambda2
0.961 * [backup-simplify]: Simplify phi2 into phi2
0.961 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
0.961 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
0.961 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
0.961 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
0.961 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
0.961 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
0.962 * [backup-simplify]: Simplify (- 0) into 0
0.962 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
0.962 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2
0.962 * [taylor]: Taking taylor expansion of phi1 in lambda2
0.962 * [backup-simplify]: Simplify phi1 into phi1
0.962 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2
0.962 * [taylor]: Taking taylor expansion of 2 in lambda2
0.962 * [backup-simplify]: Simplify 2 into 2
0.962 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2
0.962 * [taylor]: Taking taylor expansion of phi1 in lambda2
0.962 * [backup-simplify]: Simplify phi1 into phi1
0.962 * [taylor]: Taking taylor expansion of phi2 in lambda2
0.962 * [backup-simplify]: Simplify phi2 into phi2
0.962 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
0.962 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2)
0.962 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2)
0.962 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2))
0.963 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2)
0.963 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2))
0.963 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2)))
0.963 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))
0.963 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))
0.963 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0
0.964 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0
0.964 * [backup-simplify]: Simplify (+ 0 0) into 0
0.964 * [backup-simplify]: Simplify (+ 0 0) into 0
0.964 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0
0.965 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0
0.965 * [backup-simplify]: Simplify (- 0) into 0
0.966 * [backup-simplify]: Simplify (+ 0 0) into 0
0.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into 0
0.966 * [taylor]: Taking taylor expansion of (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1
0.966 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1
0.966 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1
0.966 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1
0.966 * [taylor]: Taking taylor expansion of phi2 in phi1
0.966 * [backup-simplify]: Simplify phi2 into phi2
0.966 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1
0.966 * [taylor]: Taking taylor expansion of phi1 in phi1
0.966 * [backup-simplify]: Simplify 0 into 0
0.966 * [backup-simplify]: Simplify 1 into 1
0.966 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1
0.966 * [taylor]: Taking taylor expansion of 2 in phi1
0.967 * [backup-simplify]: Simplify 2 into 2
0.967 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1
0.967 * [taylor]: Taking taylor expansion of phi1 in phi1
0.967 * [backup-simplify]: Simplify 0 into 0
0.967 * [backup-simplify]: Simplify 1 into 1
0.967 * [taylor]: Taking taylor expansion of phi2 in phi1
0.967 * [backup-simplify]: Simplify phi2 into phi2
0.967 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
0.967 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2)
0.967 * [backup-simplify]: Simplify (* 0 phi2) into 0
0.968 * [backup-simplify]: Simplify (* 2 0) into 0
0.968 * [backup-simplify]: Simplify (- 0) into 0
0.968 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2)
0.968 * [backup-simplify]: Simplify (sqrt (pow phi2 2)) into phi2
0.968 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0
0.969 * [backup-simplify]: Simplify (+ 0 0) into 0
0.969 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2
0.970 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2)
0.970 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2))
0.970 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2))
0.970 * [backup-simplify]: Simplify (/ (- (* 2 phi2)) (* 2 (sqrt (pow phi2 2)))) into -1
0.970 * [taylor]: Taking taylor expansion of phi2 in phi2
0.970 * [backup-simplify]: Simplify 0 into 0
0.970 * [backup-simplify]: Simplify 1 into 1
0.970 * [backup-simplify]: Simplify 0 into 0
0.970 * [taylor]: Taking taylor expansion of (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) in lambda2
0.970 * [taylor]: Taking taylor expansion of -1 in lambda2
0.970 * [backup-simplify]: Simplify -1 into -1
0.970 * [taylor]: Taking taylor expansion of (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) in lambda2
0.970 * [taylor]: Taking taylor expansion of (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2
0.970 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.970 * [backup-simplify]: Simplify 0 into 0
0.971 * [backup-simplify]: Simplify 1 into 1
0.971 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
0.971 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
0.971 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
0.971 * [taylor]: Taking taylor expansion of 1/2 in lambda2
0.971 * [backup-simplify]: Simplify 1/2 into 1/2
0.971 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2
0.971 * [taylor]: Taking taylor expansion of phi1 in lambda2
0.971 * [backup-simplify]: Simplify phi1 into phi1
0.971 * [taylor]: Taking taylor expansion of phi2 in lambda2
0.971 * [backup-simplify]: Simplify phi2 into phi2
0.971 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
0.971 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
0.971 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
0.971 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
0.971 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
0.971 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
0.972 * [backup-simplify]: Simplify (- 0) into 0
0.972 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
0.972 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2
0.972 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2
0.972 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2
0.972 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2
0.972 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2
0.972 * [taylor]: Taking taylor expansion of phi2 in lambda2
0.972 * [backup-simplify]: Simplify phi2 into phi2
0.972 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2
0.972 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2
0.972 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2
0.972 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.972 * [backup-simplify]: Simplify 0 into 0
0.972 * [backup-simplify]: Simplify 1 into 1
0.972 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
0.972 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
0.972 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
0.972 * [taylor]: Taking taylor expansion of 1/2 in lambda2
0.973 * [backup-simplify]: Simplify 1/2 into 1/2
0.973 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2
0.973 * [taylor]: Taking taylor expansion of phi1 in lambda2
0.973 * [backup-simplify]: Simplify phi1 into phi1
0.973 * [taylor]: Taking taylor expansion of phi2 in lambda2
0.973 * [backup-simplify]: Simplify phi2 into phi2
0.973 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
0.973 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
0.973 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
0.973 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
0.973 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
0.973 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
0.974 * [backup-simplify]: Simplify (- 0) into 0
0.974 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
0.974 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2
0.974 * [taylor]: Taking taylor expansion of phi1 in lambda2
0.974 * [backup-simplify]: Simplify phi1 into phi1
0.974 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2
0.974 * [taylor]: Taking taylor expansion of 2 in lambda2
0.974 * [backup-simplify]: Simplify 2 into 2
0.974 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2
0.974 * [taylor]: Taking taylor expansion of phi1 in lambda2
0.974 * [backup-simplify]: Simplify phi1 into phi1
0.974 * [taylor]: Taking taylor expansion of phi2 in lambda2
0.974 * [backup-simplify]: Simplify phi2 into phi2
0.974 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
0.974 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2)
0.974 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2)
0.974 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2))
0.975 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2)
0.975 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2))
0.975 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2)))
0.975 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))
0.975 * [backup-simplify]: Simplify (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))
0.976 * [backup-simplify]: Simplify (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) into (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))
0.976 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0
0.976 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0
0.976 * [backup-simplify]: Simplify (+ 0 0) into 0
0.977 * [backup-simplify]: Simplify (+ 0 0) into 0
0.977 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0
0.977 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0
0.978 * [backup-simplify]: Simplify (- 0) into 0
0.978 * [backup-simplify]: Simplify (+ 0 0) into 0
0.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) (/ 0 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0
0.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0
0.979 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
0.980 * [backup-simplify]: Simplify (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into 0
0.980 * [backup-simplify]: Simplify (* 0 (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into 0
0.980 * [backup-simplify]: Simplify (* -1 0) into 0
0.980 * [taylor]: Taking taylor expansion of 0 in phi1
0.981 * [backup-simplify]: Simplify 0 into 0
0.981 * [taylor]: Taking taylor expansion of 0 in phi2
0.981 * [backup-simplify]: Simplify 0 into 0
0.981 * [backup-simplify]: Simplify 0 into 0
0.981 * [taylor]: Taking taylor expansion of 0 in phi1
0.981 * [backup-simplify]: Simplify 0 into 0
0.981 * [taylor]: Taking taylor expansion of 0 in phi2
0.981 * [backup-simplify]: Simplify 0 into 0
0.981 * [backup-simplify]: Simplify 0 into 0
0.981 * [taylor]: Taking taylor expansion of -1 in phi2
0.981 * [backup-simplify]: Simplify -1 into -1
0.981 * [backup-simplify]: Simplify -1 into -1
0.981 * [backup-simplify]: Simplify 1 into 1
0.982 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
0.982 * [backup-simplify]: Simplify (* 1 1) into 1
0.983 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
0.983 * [backup-simplify]: Simplify (+ (* phi2 0) (+ (* 0 0) (* 0 phi2))) into 0
0.984 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.985 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0
0.986 * [backup-simplify]: Simplify (+ 0 0) into 0
0.987 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0
0.988 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.988 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0
0.989 * [backup-simplify]: Simplify (- 0) into 0
0.989 * [backup-simplify]: Simplify (+ 0 0) into 0
0.990 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0
0.990 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 0) (* 0 lambda2))) into 0
0.991 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (+ (* 0 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into 0
0.991 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi1))) into 0
0.992 * [backup-simplify]: Simplify (+ 0 0) into 0
0.992 * [backup-simplify]: Simplify (+ 0 0) into 0
0.992 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
0.993 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0
0.994 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* phi1 phi2)))) into 0
0.994 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 1) (* 0 0))) into 0
0.995 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.996 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0
0.996 * [backup-simplify]: Simplify (+ 0 0) into 0
0.997 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0
0.998 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.999 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0
0.999 * [backup-simplify]: Simplify (- 0) into 0
0.999 * [backup-simplify]: Simplify (+ 0 0) into 0
1.000 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0
1.001 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) (+ (* 0 lambda2) (* 0 0))) into 0
1.001 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0))) into 0
1.002 * [backup-simplify]: Simplify (+ 0 0) into 0
1.002 * [backup-simplify]: Simplify (- 0) into 0
1.003 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
1.005 * [backup-simplify]: Simplify (/ (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 2) (+)) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* 1/2 (* (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))))
1.005 * [taylor]: Taking taylor expansion of (* 1/2 (* (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) in lambda2
1.005 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.005 * [backup-simplify]: Simplify 1/2 into 1/2
1.005 * [taylor]: Taking taylor expansion of (* (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) in lambda2
1.005 * [taylor]: Taking taylor expansion of (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2
1.006 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
1.006 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
1.006 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
1.006 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.006 * [backup-simplify]: Simplify 1/2 into 1/2
1.006 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2
1.006 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.006 * [backup-simplify]: Simplify phi1 into phi1
1.006 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.006 * [backup-simplify]: Simplify phi2 into phi2
1.006 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
1.006 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
1.006 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
1.006 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
1.006 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
1.006 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
1.007 * [backup-simplify]: Simplify (- 0) into 0
1.007 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
1.007 * [taylor]: Taking taylor expansion of (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2
1.007 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) in lambda2
1.007 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2
1.007 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.007 * [backup-simplify]: Simplify 0 into 0
1.007 * [backup-simplify]: Simplify 1 into 1
1.007 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 4) in lambda2
1.007 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
1.007 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
1.007 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.007 * [backup-simplify]: Simplify 1/2 into 1/2
1.007 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2
1.007 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.007 * [backup-simplify]: Simplify phi1 into phi1
1.007 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.007 * [backup-simplify]: Simplify phi2 into phi2
1.007 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
1.007 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
1.008 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
1.008 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
1.008 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
1.008 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
1.008 * [backup-simplify]: Simplify (- 0) into 0
1.008 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
1.008 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2
1.008 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2
1.008 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2
1.009 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.009 * [backup-simplify]: Simplify phi2 into phi2
1.009 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2
1.009 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2
1.009 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2
1.009 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.009 * [backup-simplify]: Simplify 0 into 0
1.009 * [backup-simplify]: Simplify 1 into 1
1.009 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
1.009 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
1.009 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
1.009 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.009 * [backup-simplify]: Simplify 1/2 into 1/2
1.009 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2
1.009 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.009 * [backup-simplify]: Simplify phi1 into phi1
1.009 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.009 * [backup-simplify]: Simplify phi2 into phi2
1.009 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
1.009 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
1.009 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
1.009 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
1.009 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
1.009 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
1.010 * [backup-simplify]: Simplify (- 0) into 0
1.010 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
1.010 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2
1.010 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.010 * [backup-simplify]: Simplify phi1 into phi1
1.010 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2
1.010 * [taylor]: Taking taylor expansion of 2 in lambda2
1.010 * [backup-simplify]: Simplify 2 into 2
1.010 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2
1.010 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.010 * [backup-simplify]: Simplify phi1 into phi1
1.010 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.010 * [backup-simplify]: Simplify phi2 into phi2
1.011 * [backup-simplify]: Simplify (* 1 1) into 1
1.011 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
1.011 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 4)
1.011 * [backup-simplify]: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 4)) into (pow (cos (* 1/2 (+ phi1 phi2))) 4)
1.011 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
1.011 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2)
1.011 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2)
1.012 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2))
1.012 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2)
1.012 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2))
1.012 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2)))
1.012 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))
1.012 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 4) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (/ (pow (cos (* 1/2 (+ phi1 phi2))) 4) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))
1.012 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2
1.012 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2
1.012 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2
1.012 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2
1.013 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2
1.013 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.013 * [backup-simplify]: Simplify phi2 into phi2
1.013 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2
1.013 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2
1.013 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2
1.013 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.013 * [backup-simplify]: Simplify 0 into 0
1.013 * [backup-simplify]: Simplify 1 into 1
1.013 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
1.013 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
1.013 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
1.013 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.013 * [backup-simplify]: Simplify 1/2 into 1/2
1.013 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2
1.013 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.013 * [backup-simplify]: Simplify phi1 into phi1
1.013 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.013 * [backup-simplify]: Simplify phi2 into phi2
1.013 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
1.013 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
1.013 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
1.013 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
1.013 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
1.013 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
1.014 * [backup-simplify]: Simplify (- 0) into 0
1.014 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
1.014 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2
1.014 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.014 * [backup-simplify]: Simplify phi1 into phi1
1.014 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2
1.014 * [taylor]: Taking taylor expansion of 2 in lambda2
1.014 * [backup-simplify]: Simplify 2 into 2
1.014 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2
1.014 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.014 * [backup-simplify]: Simplify phi1 into phi1
1.014 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.014 * [backup-simplify]: Simplify phi2 into phi2
1.014 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
1.014 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2)
1.015 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2)
1.015 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2))
1.015 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2)
1.015 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2))
1.015 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2)))
1.015 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))
1.015 * [backup-simplify]: Simplify (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))
1.016 * [backup-simplify]: Simplify (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) into (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))
1.016 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0
1.016 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0
1.016 * [backup-simplify]: Simplify (+ 0 0) into 0
1.017 * [backup-simplify]: Simplify (+ 0 0) into 0
1.017 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0
1.017 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0
1.018 * [backup-simplify]: Simplify (- 0) into 0
1.018 * [backup-simplify]: Simplify (+ 0 0) into 0
1.018 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) (/ 0 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0
1.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0
1.019 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
1.019 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
1.019 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))
1.020 * [backup-simplify]: Simplify (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))))
1.020 * [taylor]: Taking taylor expansion of (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) in phi1
1.020 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.020 * [backup-simplify]: Simplify 1/2 into 1/2
1.020 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) in phi1
1.020 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1
1.020 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1
1.020 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1
1.020 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.020 * [backup-simplify]: Simplify 1/2 into 1/2
1.020 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1
1.020 * [taylor]: Taking taylor expansion of phi1 in phi1
1.020 * [backup-simplify]: Simplify 0 into 0
1.020 * [backup-simplify]: Simplify 1 into 1
1.020 * [taylor]: Taking taylor expansion of phi2 in phi1
1.020 * [backup-simplify]: Simplify phi2 into phi2
1.020 * [backup-simplify]: Simplify (+ 0 phi2) into phi2
1.020 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2)
1.021 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
1.021 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
1.021 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
1.021 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0
1.021 * [backup-simplify]: Simplify (- 0) into 0
1.021 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
1.021 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) in phi1
1.021 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1
1.021 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1
1.021 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1
1.022 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1
1.022 * [taylor]: Taking taylor expansion of phi2 in phi1
1.022 * [backup-simplify]: Simplify phi2 into phi2
1.022 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1
1.022 * [taylor]: Taking taylor expansion of phi1 in phi1
1.022 * [backup-simplify]: Simplify 0 into 0
1.022 * [backup-simplify]: Simplify 1 into 1
1.022 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1
1.022 * [taylor]: Taking taylor expansion of 2 in phi1
1.022 * [backup-simplify]: Simplify 2 into 2
1.022 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1
1.022 * [taylor]: Taking taylor expansion of phi1 in phi1
1.022 * [backup-simplify]: Simplify 0 into 0
1.022 * [backup-simplify]: Simplify 1 into 1
1.022 * [taylor]: Taking taylor expansion of phi2 in phi1
1.022 * [backup-simplify]: Simplify phi2 into phi2
1.022 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
1.022 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2)
1.022 * [backup-simplify]: Simplify (* 0 phi2) into 0
1.022 * [backup-simplify]: Simplify (* 2 0) into 0
1.023 * [backup-simplify]: Simplify (- 0) into 0
1.023 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2)
1.023 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2))
1.023 * [backup-simplify]: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2)
1.023 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0
1.024 * [backup-simplify]: Simplify (+ 0 0) into 0
1.024 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2
1.024 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2)
1.024 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2))
1.025 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2))
1.025 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3)))
1.025 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2))
1.025 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2)
1.025 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2)
1.025 * [backup-simplify]: Simplify (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2))
1.025 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2
1.025 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.025 * [backup-simplify]: Simplify 1/2 into 1/2
1.025 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2
1.026 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
1.026 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
1.026 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2
1.026 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.026 * [backup-simplify]: Simplify 1/2 into 1/2
1.026 * [taylor]: Taking taylor expansion of phi2 in phi2
1.026 * [backup-simplify]: Simplify 0 into 0
1.026 * [backup-simplify]: Simplify 1 into 1
1.026 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.027 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.027 * [taylor]: Taking taylor expansion of phi2 in phi2
1.027 * [backup-simplify]: Simplify 0 into 0
1.027 * [backup-simplify]: Simplify 1 into 1
1.027 * [backup-simplify]: Simplify (* 1 1) into 1
1.028 * [backup-simplify]: Simplify (/ 1 1) into 1
1.028 * [backup-simplify]: Simplify (+ 0) into 0
1.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
1.031 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.031 * [backup-simplify]: Simplify 0 into 0
1.031 * [backup-simplify]: Simplify (+ 0) into 0
1.032 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
1.032 * [backup-simplify]: Simplify (+ 0 0) into 0
1.033 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0
1.034 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.034 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
1.035 * [backup-simplify]: Simplify (- 0) into 0
1.035 * [backup-simplify]: Simplify (+ 0 0) into 0
1.035 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0
1.036 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
1.037 * [backup-simplify]: Simplify (+ (* 0 0) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))
1.038 * [backup-simplify]: Simplify (+ (* -1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) (* 0 0)) into (- (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))))
1.038 * [taylor]: Taking taylor expansion of (- (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) in phi1
1.038 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) in phi1
1.038 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1
1.038 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1
1.038 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1
1.038 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.038 * [backup-simplify]: Simplify 1/2 into 1/2
1.038 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1
1.038 * [taylor]: Taking taylor expansion of phi1 in phi1
1.038 * [backup-simplify]: Simplify 0 into 0
1.038 * [backup-simplify]: Simplify 1 into 1
1.038 * [taylor]: Taking taylor expansion of phi2 in phi1
1.038 * [backup-simplify]: Simplify phi2 into phi2
1.038 * [backup-simplify]: Simplify (+ 0 phi2) into phi2
1.038 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2)
1.038 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
1.039 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
1.039 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
1.039 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0
1.039 * [backup-simplify]: Simplify (- 0) into 0
1.039 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
1.039 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) in phi1
1.039 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1
1.039 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1
1.039 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1
1.039 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1
1.039 * [taylor]: Taking taylor expansion of phi2 in phi1
1.039 * [backup-simplify]: Simplify phi2 into phi2
1.039 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1
1.039 * [taylor]: Taking taylor expansion of phi1 in phi1
1.040 * [backup-simplify]: Simplify 0 into 0
1.040 * [backup-simplify]: Simplify 1 into 1
1.040 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1
1.040 * [taylor]: Taking taylor expansion of 2 in phi1
1.040 * [backup-simplify]: Simplify 2 into 2
1.040 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1
1.040 * [taylor]: Taking taylor expansion of phi1 in phi1
1.040 * [backup-simplify]: Simplify 0 into 0
1.040 * [backup-simplify]: Simplify 1 into 1
1.040 * [taylor]: Taking taylor expansion of phi2 in phi1
1.040 * [backup-simplify]: Simplify phi2 into phi2
1.040 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
1.040 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2)
1.040 * [backup-simplify]: Simplify (* 0 phi2) into 0
1.040 * [backup-simplify]: Simplify (* 2 0) into 0
1.041 * [backup-simplify]: Simplify (- 0) into 0
1.041 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2)
1.041 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2))
1.041 * [backup-simplify]: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2)
1.041 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0
1.042 * [backup-simplify]: Simplify (+ 0 0) into 0
1.042 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2
1.043 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2)
1.043 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2))
1.043 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2))
1.043 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3)))
1.043 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2))
1.043 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2)
1.043 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2)
1.044 * [backup-simplify]: Simplify (- (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (- (/ (pow (cos (* 1/2 phi2)) 2) phi2))
1.044 * [taylor]: Taking taylor expansion of (- (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2
1.044 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2
1.044 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
1.044 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
1.044 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2
1.044 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.044 * [backup-simplify]: Simplify 1/2 into 1/2
1.044 * [taylor]: Taking taylor expansion of phi2 in phi2
1.044 * [backup-simplify]: Simplify 0 into 0
1.044 * [backup-simplify]: Simplify 1 into 1
1.044 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.047 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.047 * [taylor]: Taking taylor expansion of phi2 in phi2
1.048 * [backup-simplify]: Simplify 0 into 0
1.048 * [backup-simplify]: Simplify 1 into 1
1.048 * [backup-simplify]: Simplify (* 1 1) into 1
1.048 * [backup-simplify]: Simplify (/ 1 1) into 1
1.048 * [backup-simplify]: Simplify (+ 0) into 0
1.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
1.050 * [backup-simplify]: Simplify (- 0) into 0
1.050 * [backup-simplify]: Simplify 0 into 0
1.050 * [backup-simplify]: Simplify (+ (* phi2 0) (+ (* 0 0) (* 0 phi2))) into 0
1.050 * [backup-simplify]: Simplify (* 1 1) into 1
1.050 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
1.050 * [backup-simplify]: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
1.051 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi1))) into 0
1.051 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
1.051 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
1.051 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0
1.052 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* phi1 phi2)))) into 0
1.052 * [backup-simplify]: Simplify (- 0) into 0
1.052 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
1.053 * [backup-simplify]: Simplify (/ (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow 0 2) (+)) (* 2 (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))))
1.053 * [taylor]: Taking taylor expansion of (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) in phi1
1.053 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.053 * [backup-simplify]: Simplify 1/2 into 1/2
1.053 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) in phi1
1.053 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1
1.053 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1
1.053 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1
1.053 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.053 * [backup-simplify]: Simplify 1/2 into 1/2
1.053 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1
1.053 * [taylor]: Taking taylor expansion of phi1 in phi1
1.053 * [backup-simplify]: Simplify 0 into 0
1.053 * [backup-simplify]: Simplify 1 into 1
1.053 * [taylor]: Taking taylor expansion of phi2 in phi1
1.053 * [backup-simplify]: Simplify phi2 into phi2
1.053 * [backup-simplify]: Simplify (+ 0 phi2) into phi2
1.053 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2)
1.053 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
1.053 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
1.053 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
1.053 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0
1.053 * [backup-simplify]: Simplify (- 0) into 0
1.054 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
1.054 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) in phi1
1.054 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1
1.054 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1
1.054 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1
1.054 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1
1.054 * [taylor]: Taking taylor expansion of phi2 in phi1
1.054 * [backup-simplify]: Simplify phi2 into phi2
1.054 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1
1.054 * [taylor]: Taking taylor expansion of phi1 in phi1
1.054 * [backup-simplify]: Simplify 0 into 0
1.054 * [backup-simplify]: Simplify 1 into 1
1.054 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1
1.054 * [taylor]: Taking taylor expansion of 2 in phi1
1.054 * [backup-simplify]: Simplify 2 into 2
1.054 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1
1.054 * [taylor]: Taking taylor expansion of phi1 in phi1
1.054 * [backup-simplify]: Simplify 0 into 0
1.054 * [backup-simplify]: Simplify 1 into 1
1.054 * [taylor]: Taking taylor expansion of phi2 in phi1
1.054 * [backup-simplify]: Simplify phi2 into phi2
1.054 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
1.054 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2)
1.054 * [backup-simplify]: Simplify (* 0 phi2) into 0
1.054 * [backup-simplify]: Simplify (* 2 0) into 0
1.054 * [backup-simplify]: Simplify (- 0) into 0
1.055 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2)
1.055 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2))
1.055 * [backup-simplify]: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2)
1.055 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0
1.055 * [backup-simplify]: Simplify (+ 0 0) into 0
1.055 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2
1.055 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2)
1.056 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2))
1.056 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2))
1.056 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3)))
1.056 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2))
1.056 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2)
1.056 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2)
1.056 * [backup-simplify]: Simplify (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2))
1.056 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2
1.056 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.056 * [backup-simplify]: Simplify 1/2 into 1/2
1.056 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2
1.056 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
1.056 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
1.056 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2
1.056 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.056 * [backup-simplify]: Simplify 1/2 into 1/2
1.056 * [taylor]: Taking taylor expansion of phi2 in phi2
1.056 * [backup-simplify]: Simplify 0 into 0
1.056 * [backup-simplify]: Simplify 1 into 1
1.057 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.057 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.057 * [taylor]: Taking taylor expansion of phi2 in phi2
1.057 * [backup-simplify]: Simplify 0 into 0
1.057 * [backup-simplify]: Simplify 1 into 1
1.057 * [backup-simplify]: Simplify (* 1 1) into 1
1.058 * [backup-simplify]: Simplify (/ 1 1) into 1
1.058 * [backup-simplify]: Simplify (+ 0) into 0
1.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
1.059 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.059 * [backup-simplify]: Simplify 0 into 0
1.059 * [taylor]: Taking taylor expansion of 0 in phi2
1.059 * [backup-simplify]: Simplify 0 into 0
1.059 * [backup-simplify]: Simplify 0 into 0
1.059 * [taylor]: Taking taylor expansion of 0 in phi2
1.059 * [backup-simplify]: Simplify 0 into 0
1.059 * [backup-simplify]: Simplify 0 into 0
1.060 * [backup-simplify]: Simplify (+ (* phi2 0) (+ (* 0 0) (* 0 phi2))) into 0
1.060 * [backup-simplify]: Simplify (* 1 1) into 1
1.060 * [backup-simplify]: Simplify (+ 0 1) into 1
1.061 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 phi2))) into 0
1.061 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 phi2) (* 0 0))) into 0
1.061 * [backup-simplify]: Simplify (- 0) into 0
1.062 * [backup-simplify]: Simplify (+ 1 0) into 1
1.062 * [backup-simplify]: Simplify (/ (- 1 (pow -1 2) (+)) (* 2 phi2)) into 0
1.062 * [taylor]: Taking taylor expansion of 0 in phi2
1.062 * [backup-simplify]: Simplify 0 into 0
1.062 * [backup-simplify]: Simplify 0 into 0
1.063 * [backup-simplify]: Simplify (+ (* 1 (* phi2 (* 1 (* 1 1)))) (* -1 (* 1 (* phi1 (* 1 1))))) into (- phi2 phi1)
1.064 * [backup-simplify]: Simplify (sqrt (+ (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))))) into (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))))
1.064 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in (lambda1 lambda2 phi1 phi2) around 0
1.064 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in phi2
1.064 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in phi2
1.064 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in phi2
1.064 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi2
1.064 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
1.064 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
1.064 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
1.064 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.064 * [backup-simplify]: Simplify 1/2 into 1/2
1.064 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
1.064 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
1.064 * [taylor]: Taking taylor expansion of phi1 in phi2
1.064 * [backup-simplify]: Simplify phi1 into phi1
1.064 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.064 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
1.064 * [taylor]: Taking taylor expansion of phi2 in phi2
1.064 * [backup-simplify]: Simplify 0 into 0
1.064 * [backup-simplify]: Simplify 1 into 1
1.064 * [backup-simplify]: Simplify (/ 1 1) into 1
1.065 * [backup-simplify]: Simplify (+ 0 1) into 1
1.065 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.065 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.065 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2
1.065 * [taylor]: Taking taylor expansion of lambda2 in phi2
1.065 * [backup-simplify]: Simplify lambda2 into lambda2
1.065 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.065 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2)
1.065 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
1.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in phi2
1.065 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi2
1.065 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2
1.065 * [taylor]: Taking taylor expansion of phi1 in phi2
1.066 * [backup-simplify]: Simplify phi1 into phi1
1.066 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2)
1.066 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2))
1.066 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in phi2
1.066 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi2
1.066 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
1.066 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
1.066 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
1.066 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.066 * [backup-simplify]: Simplify 1/2 into 1/2
1.066 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
1.066 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
1.066 * [taylor]: Taking taylor expansion of phi1 in phi2
1.066 * [backup-simplify]: Simplify phi1 into phi1
1.066 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.066 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
1.066 * [taylor]: Taking taylor expansion of phi2 in phi2
1.066 * [backup-simplify]: Simplify 0 into 0
1.066 * [backup-simplify]: Simplify 1 into 1
1.066 * [backup-simplify]: Simplify (/ 1 1) into 1
1.066 * [backup-simplify]: Simplify (+ 0 1) into 1
1.067 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.067 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.067 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2
1.067 * [taylor]: Taking taylor expansion of lambda1 in phi2
1.067 * [backup-simplify]: Simplify lambda1 into lambda1
1.067 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.067 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2)
1.067 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))
1.067 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi2
1.067 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2
1.067 * [taylor]: Taking taylor expansion of phi2 in phi2
1.067 * [backup-simplify]: Simplify 0 into 0
1.067 * [backup-simplify]: Simplify 1 into 1
1.067 * [backup-simplify]: Simplify (* 1 1) into 1
1.068 * [backup-simplify]: Simplify (/ 1 1) into 1
1.068 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in phi2
1.068 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi2
1.068 * [taylor]: Taking taylor expansion of 2 in phi2
1.068 * [backup-simplify]: Simplify 2 into 2
1.068 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi2
1.068 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2
1.068 * [taylor]: Taking taylor expansion of phi1 in phi2
1.068 * [backup-simplify]: Simplify phi1 into phi1
1.068 * [taylor]: Taking taylor expansion of phi2 in phi2
1.068 * [backup-simplify]: Simplify 0 into 0
1.068 * [backup-simplify]: Simplify 1 into 1
1.068 * [backup-simplify]: Simplify (* phi1 0) into 0
1.068 * [backup-simplify]: Simplify (+ (* phi1 1) (* 0 0)) into phi1
1.068 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.068 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in phi2
1.068 * [taylor]: Taking taylor expansion of 2 in phi2
1.068 * [backup-simplify]: Simplify 2 into 2
1.068 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in phi2
1.068 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
1.068 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
1.068 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
1.068 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.068 * [backup-simplify]: Simplify 1/2 into 1/2
1.068 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
1.068 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
1.068 * [taylor]: Taking taylor expansion of phi1 in phi2
1.068 * [backup-simplify]: Simplify phi1 into phi1
1.069 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.069 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
1.069 * [taylor]: Taking taylor expansion of phi2 in phi2
1.069 * [backup-simplify]: Simplify 0 into 0
1.069 * [backup-simplify]: Simplify 1 into 1
1.069 * [backup-simplify]: Simplify (/ 1 1) into 1
1.069 * [backup-simplify]: Simplify (+ 0 1) into 1
1.069 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.070 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.070 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi2
1.070 * [taylor]: Taking taylor expansion of lambda2 in phi2
1.070 * [backup-simplify]: Simplify lambda2 into lambda2
1.070 * [taylor]: Taking taylor expansion of lambda1 in phi2
1.070 * [backup-simplify]: Simplify lambda1 into lambda1
1.070 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.070 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
1.070 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))
1.070 * [backup-simplify]: Simplify (+ 0 1) into 1
1.071 * [backup-simplify]: Simplify (+ 0 1) into 1
1.071 * [backup-simplify]: Simplify (+ 0 1) into 1
1.071 * [backup-simplify]: Simplify (+ 1 0) into 1
1.071 * [backup-simplify]: Simplify (sqrt 1) into 1
1.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.073 * [backup-simplify]: Simplify (+ 0 0) into 0
1.073 * [backup-simplify]: Simplify (+ 0 0) into 0
1.073 * [backup-simplify]: Simplify (+ 0 0) into 0
1.073 * [backup-simplify]: Simplify (* 2 (/ 1 phi1)) into (/ 2 phi1)
1.073 * [backup-simplify]: Simplify (+ (/ 2 phi1) 0) into (* 2 (/ 1 phi1))
1.073 * [backup-simplify]: Simplify (- (* 2 (/ 1 phi1))) into (- (* 2 (/ 1 phi1)))
1.073 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi1)))) into (- (* 2 (/ 1 phi1)))
1.074 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 phi1))) (* 2 (sqrt 1))) into (/ -1 phi1)
1.074 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in phi1
1.074 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in phi1
1.074 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in phi1
1.074 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi1
1.074 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
1.074 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
1.074 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
1.074 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.074 * [backup-simplify]: Simplify 1/2 into 1/2
1.074 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
1.074 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
1.074 * [taylor]: Taking taylor expansion of phi1 in phi1
1.074 * [backup-simplify]: Simplify 0 into 0
1.074 * [backup-simplify]: Simplify 1 into 1
1.074 * [backup-simplify]: Simplify (/ 1 1) into 1
1.074 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
1.074 * [taylor]: Taking taylor expansion of phi2 in phi1
1.074 * [backup-simplify]: Simplify phi2 into phi2
1.074 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.075 * [backup-simplify]: Simplify (+ 1 0) into 1
1.075 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.075 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.075 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1
1.075 * [taylor]: Taking taylor expansion of lambda2 in phi1
1.075 * [backup-simplify]: Simplify lambda2 into lambda2
1.075 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.075 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2)
1.075 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
1.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in phi1
1.075 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1
1.075 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1
1.075 * [taylor]: Taking taylor expansion of phi1 in phi1
1.075 * [backup-simplify]: Simplify 0 into 0
1.075 * [backup-simplify]: Simplify 1 into 1
1.076 * [backup-simplify]: Simplify (* 1 1) into 1
1.076 * [backup-simplify]: Simplify (/ 1 1) into 1
1.076 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in phi1
1.076 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi1
1.076 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
1.076 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
1.076 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
1.076 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.076 * [backup-simplify]: Simplify 1/2 into 1/2
1.076 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
1.076 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
1.076 * [taylor]: Taking taylor expansion of phi1 in phi1
1.076 * [backup-simplify]: Simplify 0 into 0
1.076 * [backup-simplify]: Simplify 1 into 1
1.076 * [backup-simplify]: Simplify (/ 1 1) into 1
1.076 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
1.076 * [taylor]: Taking taylor expansion of phi2 in phi1
1.076 * [backup-simplify]: Simplify phi2 into phi2
1.076 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.077 * [backup-simplify]: Simplify (+ 1 0) into 1
1.077 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.077 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.077 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1
1.077 * [taylor]: Taking taylor expansion of lambda1 in phi1
1.077 * [backup-simplify]: Simplify lambda1 into lambda1
1.077 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.077 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2)
1.078 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))
1.078 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1
1.078 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1
1.078 * [taylor]: Taking taylor expansion of phi2 in phi1
1.078 * [backup-simplify]: Simplify phi2 into phi2
1.078 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
1.078 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2))
1.078 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in phi1
1.078 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1
1.078 * [taylor]: Taking taylor expansion of 2 in phi1
1.078 * [backup-simplify]: Simplify 2 into 2
1.078 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1
1.078 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1
1.078 * [taylor]: Taking taylor expansion of phi1 in phi1
1.078 * [backup-simplify]: Simplify 0 into 0
1.078 * [backup-simplify]: Simplify 1 into 1
1.078 * [taylor]: Taking taylor expansion of phi2 in phi1
1.078 * [backup-simplify]: Simplify phi2 into phi2
1.078 * [backup-simplify]: Simplify (* 0 phi2) into 0
1.078 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2
1.078 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.078 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in phi1
1.078 * [taylor]: Taking taylor expansion of 2 in phi1
1.078 * [backup-simplify]: Simplify 2 into 2
1.078 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in phi1
1.078 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
1.078 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
1.078 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
1.078 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.078 * [backup-simplify]: Simplify 1/2 into 1/2
1.078 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
1.078 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
1.078 * [taylor]: Taking taylor expansion of phi1 in phi1
1.078 * [backup-simplify]: Simplify 0 into 0
1.078 * [backup-simplify]: Simplify 1 into 1
1.079 * [backup-simplify]: Simplify (/ 1 1) into 1
1.079 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
1.079 * [taylor]: Taking taylor expansion of phi2 in phi1
1.079 * [backup-simplify]: Simplify phi2 into phi2
1.079 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.079 * [backup-simplify]: Simplify (+ 1 0) into 1
1.079 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.079 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.079 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi1
1.079 * [taylor]: Taking taylor expansion of lambda2 in phi1
1.079 * [backup-simplify]: Simplify lambda2 into lambda2
1.079 * [taylor]: Taking taylor expansion of lambda1 in phi1
1.080 * [backup-simplify]: Simplify lambda1 into lambda1
1.080 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.080 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
1.080 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))
1.080 * [backup-simplify]: Simplify (+ 1 0) into 1
1.080 * [backup-simplify]: Simplify (+ 0 1) into 1
1.081 * [backup-simplify]: Simplify (+ 1 0) into 1
1.081 * [backup-simplify]: Simplify (sqrt 1) into 1
1.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.082 * [backup-simplify]: Simplify (+ 0 0) into 0
1.083 * [backup-simplify]: Simplify (+ 0 0) into 0
1.083 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2)
1.083 * [backup-simplify]: Simplify (+ (/ 2 phi2) 0) into (* 2 (/ 1 phi2))
1.083 * [backup-simplify]: Simplify (- (* 2 (/ 1 phi2))) into (- (* 2 (/ 1 phi2)))
1.083 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2)))
1.084 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 phi2))) (* 2 (sqrt 1))) into (/ -1 phi2)
1.084 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda2
1.084 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda2
1.084 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda2
1.084 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2
1.084 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
1.084 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
1.084 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
1.084 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.084 * [backup-simplify]: Simplify 1/2 into 1/2
1.084 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
1.084 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
1.084 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.084 * [backup-simplify]: Simplify phi1 into phi1
1.084 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.084 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
1.084 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.084 * [backup-simplify]: Simplify phi2 into phi2
1.084 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.084 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
1.084 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
1.085 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.085 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.085 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.085 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.085 * [backup-simplify]: Simplify (- 0) into 0
1.086 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.086 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2
1.086 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.086 * [backup-simplify]: Simplify 0 into 0
1.086 * [backup-simplify]: Simplify 1 into 1
1.086 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.086 * [backup-simplify]: Simplify (* 1 1) into 1
1.087 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda2
1.087 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2
1.087 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2
1.087 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.087 * [backup-simplify]: Simplify phi1 into phi1
1.087 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2)
1.087 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2))
1.087 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda2
1.087 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda2
1.087 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
1.087 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
1.087 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
1.087 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.087 * [backup-simplify]: Simplify 1/2 into 1/2
1.087 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
1.087 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
1.087 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.087 * [backup-simplify]: Simplify phi1 into phi1
1.087 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.087 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
1.087 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.087 * [backup-simplify]: Simplify phi2 into phi2
1.087 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.087 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
1.088 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
1.088 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.088 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.088 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.088 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.089 * [backup-simplify]: Simplify (- 0) into 0
1.089 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.089 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2
1.089 * [taylor]: Taking taylor expansion of lambda1 in lambda2
1.089 * [backup-simplify]: Simplify lambda1 into lambda1
1.089 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.089 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2)
1.089 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))
1.089 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2
1.089 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2
1.090 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.090 * [backup-simplify]: Simplify phi2 into phi2
1.090 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
1.090 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2))
1.090 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda2
1.090 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2
1.090 * [taylor]: Taking taylor expansion of 2 in lambda2
1.090 * [backup-simplify]: Simplify 2 into 2
1.090 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2
1.090 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2
1.090 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.090 * [backup-simplify]: Simplify phi1 into phi1
1.090 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.090 * [backup-simplify]: Simplify phi2 into phi2
1.090 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2)
1.090 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2))
1.090 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda2
1.090 * [taylor]: Taking taylor expansion of 2 in lambda2
1.090 * [backup-simplify]: Simplify 2 into 2
1.090 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda2
1.090 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
1.090 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
1.090 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
1.090 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.090 * [backup-simplify]: Simplify 1/2 into 1/2
1.090 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
1.090 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
1.090 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.090 * [backup-simplify]: Simplify phi1 into phi1
1.091 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.091 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
1.091 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.091 * [backup-simplify]: Simplify phi2 into phi2
1.091 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.091 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
1.091 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
1.091 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.091 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.091 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.091 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.092 * [backup-simplify]: Simplify (- 0) into 0
1.092 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.092 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda2
1.092 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.092 * [backup-simplify]: Simplify 0 into 0
1.092 * [backup-simplify]: Simplify 1 into 1
1.092 * [taylor]: Taking taylor expansion of lambda1 in lambda2
1.092 * [backup-simplify]: Simplify lambda1 into lambda1
1.093 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.093 * [backup-simplify]: Simplify (* 0 lambda1) into 0
1.093 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda1)) into lambda1
1.093 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)
1.094 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.094 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.094 * [backup-simplify]: Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.094 * [backup-simplify]: Simplify (+ 0) into 0
1.095 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
1.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
1.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
1.096 * [backup-simplify]: Simplify (+ 0 0) into 0
1.096 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
1.097 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.098 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
1.098 * [backup-simplify]: Simplify (- 0) into 0
1.098 * [backup-simplify]: Simplify (+ 0 0) into 0
1.099 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
1.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0
1.101 * [backup-simplify]: Simplify (+ 0 0) into 0
1.101 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))
1.101 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))
1.102 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))
1.102 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))
1.103 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1))
1.103 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda1
1.103 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda1
1.103 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda1
1.103 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1
1.103 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
1.103 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
1.103 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
1.103 * [taylor]: Taking taylor expansion of 1/2 in lambda1
1.103 * [backup-simplify]: Simplify 1/2 into 1/2
1.103 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
1.103 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
1.103 * [taylor]: Taking taylor expansion of phi1 in lambda1
1.103 * [backup-simplify]: Simplify phi1 into phi1
1.103 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.103 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
1.103 * [taylor]: Taking taylor expansion of phi2 in lambda1
1.103 * [backup-simplify]: Simplify phi2 into phi2
1.103 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.103 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
1.103 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
1.104 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.104 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.104 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.104 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.105 * [backup-simplify]: Simplify (- 0) into 0
1.105 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.105 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1
1.105 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.105 * [backup-simplify]: Simplify lambda2 into lambda2
1.105 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.105 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2)
1.105 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
1.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda1
1.106 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1
1.106 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1
1.106 * [taylor]: Taking taylor expansion of phi1 in lambda1
1.106 * [backup-simplify]: Simplify phi1 into phi1
1.106 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2)
1.106 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2))
1.106 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda1
1.106 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1
1.106 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
1.106 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
1.106 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
1.106 * [taylor]: Taking taylor expansion of 1/2 in lambda1
1.106 * [backup-simplify]: Simplify 1/2 into 1/2
1.106 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
1.106 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
1.106 * [taylor]: Taking taylor expansion of phi1 in lambda1
1.106 * [backup-simplify]: Simplify phi1 into phi1
1.106 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.106 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
1.106 * [taylor]: Taking taylor expansion of phi2 in lambda1
1.106 * [backup-simplify]: Simplify phi2 into phi2
1.107 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.107 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
1.107 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
1.107 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.107 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.107 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.108 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.108 * [backup-simplify]: Simplify (- 0) into 0
1.108 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.109 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1
1.109 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.109 * [backup-simplify]: Simplify 0 into 0
1.109 * [backup-simplify]: Simplify 1 into 1
1.109 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.109 * [backup-simplify]: Simplify (* 1 1) into 1
1.110 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.110 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1
1.110 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1
1.110 * [taylor]: Taking taylor expansion of phi2 in lambda1
1.110 * [backup-simplify]: Simplify phi2 into phi2
1.110 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
1.110 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2))
1.110 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda1
1.110 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1
1.110 * [taylor]: Taking taylor expansion of 2 in lambda1
1.110 * [backup-simplify]: Simplify 2 into 2
1.110 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1
1.110 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1
1.110 * [taylor]: Taking taylor expansion of phi1 in lambda1
1.110 * [backup-simplify]: Simplify phi1 into phi1
1.110 * [taylor]: Taking taylor expansion of phi2 in lambda1
1.110 * [backup-simplify]: Simplify phi2 into phi2
1.110 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2)
1.110 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2))
1.110 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda1
1.110 * [taylor]: Taking taylor expansion of 2 in lambda1
1.110 * [backup-simplify]: Simplify 2 into 2
1.110 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda1
1.110 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
1.110 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
1.110 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
1.110 * [taylor]: Taking taylor expansion of 1/2 in lambda1
1.110 * [backup-simplify]: Simplify 1/2 into 1/2
1.110 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
1.110 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
1.110 * [taylor]: Taking taylor expansion of phi1 in lambda1
1.110 * [backup-simplify]: Simplify phi1 into phi1
1.110 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.110 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
1.110 * [taylor]: Taking taylor expansion of phi2 in lambda1
1.110 * [backup-simplify]: Simplify phi2 into phi2
1.110 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.110 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
1.110 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
1.111 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.111 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.111 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.111 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.111 * [backup-simplify]: Simplify (- 0) into 0
1.111 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.111 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1
1.111 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.111 * [backup-simplify]: Simplify lambda2 into lambda2
1.111 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.111 * [backup-simplify]: Simplify 0 into 0
1.111 * [backup-simplify]: Simplify 1 into 1
1.111 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.111 * [backup-simplify]: Simplify (* lambda2 0) into 0
1.112 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2
1.112 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)
1.112 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.112 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.112 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.112 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.112 * [backup-simplify]: Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.113 * [backup-simplify]: Simplify (+ 0) into 0
1.113 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
1.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
1.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
1.114 * [backup-simplify]: Simplify (+ 0 0) into 0
1.114 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
1.114 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.115 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
1.115 * [backup-simplify]: Simplify (- 0) into 0
1.115 * [backup-simplify]: Simplify (+ 0 0) into 0
1.115 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
1.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0
1.117 * [backup-simplify]: Simplify (+ 0 0) into 0
1.117 * [backup-simplify]: Simplify (+ 0 0) into 0
1.117 * [backup-simplify]: Simplify (+ 0 0) into 0
1.117 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))
1.117 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))
1.118 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
1.118 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
1.118 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2))
1.118 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda1
1.118 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda1
1.118 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda1
1.118 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1
1.118 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
1.118 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
1.118 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
1.118 * [taylor]: Taking taylor expansion of 1/2 in lambda1
1.118 * [backup-simplify]: Simplify 1/2 into 1/2
1.118 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
1.118 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
1.118 * [taylor]: Taking taylor expansion of phi1 in lambda1
1.118 * [backup-simplify]: Simplify phi1 into phi1
1.118 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.118 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
1.118 * [taylor]: Taking taylor expansion of phi2 in lambda1
1.118 * [backup-simplify]: Simplify phi2 into phi2
1.118 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.119 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
1.119 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
1.119 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.119 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.119 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.119 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.119 * [backup-simplify]: Simplify (- 0) into 0
1.119 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.119 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1
1.119 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.119 * [backup-simplify]: Simplify lambda2 into lambda2
1.119 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.120 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2)
1.120 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
1.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda1
1.120 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1
1.120 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1
1.120 * [taylor]: Taking taylor expansion of phi1 in lambda1
1.120 * [backup-simplify]: Simplify phi1 into phi1
1.120 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2)
1.120 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2))
1.120 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda1
1.120 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1
1.120 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
1.120 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
1.120 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
1.120 * [taylor]: Taking taylor expansion of 1/2 in lambda1
1.120 * [backup-simplify]: Simplify 1/2 into 1/2
1.120 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
1.120 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
1.120 * [taylor]: Taking taylor expansion of phi1 in lambda1
1.120 * [backup-simplify]: Simplify phi1 into phi1
1.120 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.120 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
1.120 * [taylor]: Taking taylor expansion of phi2 in lambda1
1.120 * [backup-simplify]: Simplify phi2 into phi2
1.120 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.120 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
1.120 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
1.120 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.120 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.120 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.121 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.121 * [backup-simplify]: Simplify (- 0) into 0
1.121 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.121 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1
1.121 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.121 * [backup-simplify]: Simplify 0 into 0
1.121 * [backup-simplify]: Simplify 1 into 1
1.121 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.121 * [backup-simplify]: Simplify (* 1 1) into 1
1.122 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.122 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1
1.122 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1
1.122 * [taylor]: Taking taylor expansion of phi2 in lambda1
1.122 * [backup-simplify]: Simplify phi2 into phi2
1.122 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
1.122 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2))
1.122 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda1
1.122 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1
1.122 * [taylor]: Taking taylor expansion of 2 in lambda1
1.122 * [backup-simplify]: Simplify 2 into 2
1.122 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1
1.122 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1
1.122 * [taylor]: Taking taylor expansion of phi1 in lambda1
1.122 * [backup-simplify]: Simplify phi1 into phi1
1.122 * [taylor]: Taking taylor expansion of phi2 in lambda1
1.122 * [backup-simplify]: Simplify phi2 into phi2
1.122 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2)
1.122 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2))
1.122 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda1
1.122 * [taylor]: Taking taylor expansion of 2 in lambda1
1.122 * [backup-simplify]: Simplify 2 into 2
1.122 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda1
1.122 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
1.122 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
1.122 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
1.122 * [taylor]: Taking taylor expansion of 1/2 in lambda1
1.122 * [backup-simplify]: Simplify 1/2 into 1/2
1.122 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
1.122 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
1.122 * [taylor]: Taking taylor expansion of phi1 in lambda1
1.122 * [backup-simplify]: Simplify phi1 into phi1
1.122 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.122 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
1.122 * [taylor]: Taking taylor expansion of phi2 in lambda1
1.122 * [backup-simplify]: Simplify phi2 into phi2
1.122 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.122 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
1.122 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
1.122 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.123 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.123 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.123 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.123 * [backup-simplify]: Simplify (- 0) into 0
1.123 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.123 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1
1.123 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.123 * [backup-simplify]: Simplify lambda2 into lambda2
1.123 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.123 * [backup-simplify]: Simplify 0 into 0
1.123 * [backup-simplify]: Simplify 1 into 1
1.123 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.123 * [backup-simplify]: Simplify (* lambda2 0) into 0
1.124 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2
1.124 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)
1.124 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.124 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.124 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.124 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.124 * [backup-simplify]: Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.125 * [backup-simplify]: Simplify (+ 0) into 0
1.125 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
1.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
1.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
1.125 * [backup-simplify]: Simplify (+ 0 0) into 0
1.126 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
1.126 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.126 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
1.127 * [backup-simplify]: Simplify (- 0) into 0
1.127 * [backup-simplify]: Simplify (+ 0 0) into 0
1.127 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
1.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0
1.128 * [backup-simplify]: Simplify (+ 0 0) into 0
1.129 * [backup-simplify]: Simplify (+ 0 0) into 0
1.129 * [backup-simplify]: Simplify (+ 0 0) into 0
1.129 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))
1.129 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))
1.129 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
1.130 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
1.130 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2))
1.130 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
1.130 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
1.130 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.130 * [backup-simplify]: Simplify 1/2 into 1/2
1.130 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
1.130 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
1.130 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.130 * [backup-simplify]: Simplify phi1 into phi1
1.130 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.130 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
1.130 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.130 * [backup-simplify]: Simplify phi2 into phi2
1.130 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.130 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
1.130 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
1.130 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.130 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.130 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) in lambda2
1.131 * [taylor]: Taking taylor expansion of -1 in lambda2
1.131 * [backup-simplify]: Simplify -1 into -1
1.131 * [taylor]: Taking taylor expansion of (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2) in lambda2
1.131 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
1.131 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
1.131 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.131 * [backup-simplify]: Simplify 1/2 into 1/2
1.131 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
1.131 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
1.131 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.131 * [backup-simplify]: Simplify phi1 into phi1
1.131 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.131 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
1.131 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.131 * [backup-simplify]: Simplify phi2 into phi2
1.131 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.131 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
1.131 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
1.131 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.131 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.131 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.131 * [backup-simplify]: Simplify 0 into 0
1.131 * [backup-simplify]: Simplify 1 into 1
1.131 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.131 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.132 * [backup-simplify]: Simplify (- 0) into 0
1.132 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.132 * [backup-simplify]: Simplify (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.132 * [backup-simplify]: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
1.132 * [taylor]: Taking taylor expansion of (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1
1.132 * [taylor]: Taking taylor expansion of -1 in phi1
1.132 * [backup-simplify]: Simplify -1 into -1
1.132 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
1.132 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
1.132 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.132 * [backup-simplify]: Simplify 1/2 into 1/2
1.132 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
1.132 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
1.132 * [taylor]: Taking taylor expansion of phi1 in phi1
1.132 * [backup-simplify]: Simplify 0 into 0
1.132 * [backup-simplify]: Simplify 1 into 1
1.132 * [backup-simplify]: Simplify (/ 1 1) into 1
1.132 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
1.132 * [taylor]: Taking taylor expansion of phi2 in phi1
1.132 * [backup-simplify]: Simplify phi2 into phi2
1.132 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.133 * [backup-simplify]: Simplify (+ 1 0) into 1
1.133 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.133 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.133 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.133 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.133 * [backup-simplify]: Simplify (- 0) into 0
1.134 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.134 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
1.134 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
1.134 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.134 * [backup-simplify]: Simplify 1/2 into 1/2
1.134 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
1.134 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
1.134 * [taylor]: Taking taylor expansion of phi1 in phi1
1.134 * [backup-simplify]: Simplify 0 into 0
1.134 * [backup-simplify]: Simplify 1 into 1
1.134 * [backup-simplify]: Simplify (/ 1 1) into 1
1.134 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
1.134 * [taylor]: Taking taylor expansion of phi2 in phi1
1.134 * [backup-simplify]: Simplify phi2 into phi2
1.134 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.134 * [backup-simplify]: Simplify (+ 1 0) into 1
1.135 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.135 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.135 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.136 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
1.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
1.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
1.136 * [backup-simplify]: Simplify (+ 0 0) into 0
1.137 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
1.137 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.137 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
1.138 * [backup-simplify]: Simplify (- 0) into 0
1.138 * [backup-simplify]: Simplify (+ 0 0) into 0
1.138 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
1.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.140 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow phi2 2))) into (/ 1 (pow phi2 2))
1.140 * [backup-simplify]: Simplify (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))
1.140 * [backup-simplify]: Simplify (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) into (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))))
1.140 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2))
1.141 * [backup-simplify]: Simplify (+ 0) into 0
1.141 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
1.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
1.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
1.141 * [backup-simplify]: Simplify (+ 0 0) into 0
1.142 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
1.143 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.143 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
1.143 * [backup-simplify]: Simplify (- 0) into 0
1.144 * [backup-simplify]: Simplify (+ 0 0) into 0
1.144 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
1.145 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 1) (* 0 0))) into 0
1.145 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)))) into 0
1.146 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into 0
1.146 * [backup-simplify]: Simplify (+ (/ 2 (* phi1 phi2)) 0) into (* 2 (/ 1 (* phi1 phi2)))
1.146 * [backup-simplify]: Simplify (- (* 2 (/ 1 (* phi1 phi2)))) into (- (* 2 (/ 1 (* phi1 phi2))))
1.147 * [backup-simplify]: Simplify (+ (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (* 2 (/ 1 (* phi1 phi2))))
1.148 * [backup-simplify]: Simplify (/ (- (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (* 2 (/ 1 (* phi1 phi2)))) (pow (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 2) (+)) (* 2 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))
1.148 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2
1.148 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.148 * [backup-simplify]: Simplify 1/2 into 1/2
1.148 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2
1.148 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in lambda2
1.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in lambda2
1.148 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2
1.148 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2
1.148 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.148 * [backup-simplify]: Simplify phi2 into phi2
1.148 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
1.148 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2))
1.148 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2
1.148 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2
1.149 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.149 * [backup-simplify]: Simplify phi1 into phi1
1.149 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2)
1.149 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2))
1.149 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2
1.149 * [taylor]: Taking taylor expansion of 2 in lambda2
1.149 * [backup-simplify]: Simplify 2 into 2
1.149 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2
1.149 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2
1.149 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.149 * [backup-simplify]: Simplify phi1 into phi1
1.149 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.149 * [backup-simplify]: Simplify phi2 into phi2
1.149 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2)
1.149 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2))
1.149 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
1.149 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
1.149 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.149 * [backup-simplify]: Simplify 1/2 into 1/2
1.149 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
1.149 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
1.149 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.149 * [backup-simplify]: Simplify phi1 into phi1
1.149 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.149 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
1.149 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.149 * [backup-simplify]: Simplify phi2 into phi2
1.149 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.149 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
1.150 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
1.150 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.150 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.150 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))
1.150 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2))
1.150 * [backup-simplify]: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2))))
1.151 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2))))
1.151 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.151 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.151 * [backup-simplify]: Simplify (- 0) into 0
1.152 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.152 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
1.152 * [backup-simplify]: Simplify (+ 0) into 0
1.153 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
1.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
1.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
1.154 * [backup-simplify]: Simplify (+ 0 0) into 0
1.154 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
1.155 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.158 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
1.158 * [backup-simplify]: Simplify (- 0) into 0
1.159 * [backup-simplify]: Simplify (+ 0 0) into 0
1.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)))) into 0
1.160 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
1.160 * [taylor]: Taking taylor expansion of 0 in phi1
1.160 * [backup-simplify]: Simplify 0 into 0
1.161 * [backup-simplify]: Simplify (+ 0) into 0
1.161 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
1.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
1.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
1.162 * [backup-simplify]: Simplify (+ 0 0) into 0
1.162 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
1.164 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.164 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
1.164 * [backup-simplify]: Simplify (- 0) into 0
1.165 * [backup-simplify]: Simplify (+ 0 0) into 0
1.165 * [taylor]: Taking taylor expansion of 0 in phi1
1.165 * [backup-simplify]: Simplify 0 into 0
1.165 * [backup-simplify]: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
1.165 * [taylor]: Taking taylor expansion of (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi2
1.165 * [taylor]: Taking taylor expansion of -1 in phi2
1.165 * [backup-simplify]: Simplify -1 into -1
1.165 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
1.165 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
1.165 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.165 * [backup-simplify]: Simplify 1/2 into 1/2
1.165 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
1.165 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
1.165 * [taylor]: Taking taylor expansion of phi1 in phi2
1.165 * [backup-simplify]: Simplify phi1 into phi1
1.165 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.165 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
1.165 * [taylor]: Taking taylor expansion of phi2 in phi2
1.165 * [backup-simplify]: Simplify 0 into 0
1.166 * [backup-simplify]: Simplify 1 into 1
1.166 * [backup-simplify]: Simplify (/ 1 1) into 1
1.166 * [backup-simplify]: Simplify (+ 0 1) into 1
1.167 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.167 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.167 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
1.167 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
1.167 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.167 * [backup-simplify]: Simplify 1/2 into 1/2
1.167 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
1.167 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
1.167 * [taylor]: Taking taylor expansion of phi1 in phi2
1.167 * [backup-simplify]: Simplify phi1 into phi1
1.167 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.167 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
1.167 * [taylor]: Taking taylor expansion of phi2 in phi2
1.167 * [backup-simplify]: Simplify 0 into 0
1.167 * [backup-simplify]: Simplify 1 into 1
1.168 * [backup-simplify]: Simplify (/ 1 1) into 1
1.168 * [backup-simplify]: Simplify (+ 0 1) into 1
1.169 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.169 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.169 * [backup-simplify]: Simplify (+ 0) into 0
1.170 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
1.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
1.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
1.170 * [backup-simplify]: Simplify (+ 0 0) into 0
1.171 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
1.172 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.172 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
1.173 * [backup-simplify]: Simplify (- 0) into 0
1.173 * [backup-simplify]: Simplify (+ 0 0) into 0
1.173 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
1.174 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
1.174 * [backup-simplify]: Simplify (- (/ 0 (pow lambda2 2)) (+ (* (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ 0 (pow lambda2 2))))) into 0
1.174 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0
1.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))))) into 0
1.175 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.176 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.177 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
1.177 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
1.177 * [backup-simplify]: Simplify (+ 0 0) into 0
1.178 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
1.180 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.181 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.181 * [backup-simplify]: Simplify (- 0) into 0
1.181 * [backup-simplify]: Simplify (+ 0 0) into 0
1.182 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into 0
1.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.185 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0
1.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))))) into 0
1.186 * [backup-simplify]: Simplify (+ 0 0) into 0
1.186 * [backup-simplify]: Simplify (+ 0 0) into 0
1.186 * [backup-simplify]: Simplify (+ 0 0) into 0
1.186 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0
1.187 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))))) into 0
1.187 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (* phi1 phi2)))) into 0
1.188 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.189 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
1.189 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
1.189 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
1.189 * [backup-simplify]: Simplify (+ 0 0) into 0
1.190 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
1.191 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.192 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
1.192 * [backup-simplify]: Simplify (- 0) into 0
1.193 * [backup-simplify]: Simplify (+ 0 0) into 0
1.193 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
1.194 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1.195 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
1.195 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into 0
1.196 * [backup-simplify]: Simplify (+ 0 0) into 0
1.196 * [backup-simplify]: Simplify (- 0) into 0
1.196 * [backup-simplify]: Simplify (+ 0 0) into 0
1.197 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))))) (* 2 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))
1.197 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2
1.197 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.197 * [backup-simplify]: Simplify 1/2 into 1/2
1.197 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2
1.197 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) in lambda2
1.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) in lambda2
1.198 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (pow phi2 2))) in lambda2
1.198 * [taylor]: Taking taylor expansion of (* lambda2 (pow phi2 2)) in lambda2
1.198 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.198 * [backup-simplify]: Simplify 0 into 0
1.198 * [backup-simplify]: Simplify 1 into 1
1.198 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2
1.198 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.198 * [backup-simplify]: Simplify phi2 into phi2
1.198 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
1.198 * [backup-simplify]: Simplify (* 0 (pow phi2 2)) into 0
1.198 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0
1.198 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow phi2 2))) into (pow phi2 2)
1.198 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2))
1.198 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (pow phi1 2))) in lambda2
1.198 * [taylor]: Taking taylor expansion of (* lambda2 (pow phi1 2)) in lambda2
1.198 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.198 * [backup-simplify]: Simplify 0 into 0
1.198 * [backup-simplify]: Simplify 1 into 1
1.198 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2
1.198 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.198 * [backup-simplify]: Simplify phi1 into phi1
1.198 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2)
1.198 * [backup-simplify]: Simplify (* 0 (pow phi1 2)) into 0
1.198 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0
1.199 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow phi1 2))) into (pow phi1 2)
1.199 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2))
1.199 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* lambda2 (* phi1 phi2)))) in lambda2
1.199 * [taylor]: Taking taylor expansion of 2 in lambda2
1.199 * [backup-simplify]: Simplify 2 into 2
1.199 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (* phi1 phi2))) in lambda2
1.199 * [taylor]: Taking taylor expansion of (* lambda2 (* phi1 phi2)) in lambda2
1.199 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.199 * [backup-simplify]: Simplify 0 into 0
1.199 * [backup-simplify]: Simplify 1 into 1
1.199 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2
1.199 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.199 * [backup-simplify]: Simplify phi1 into phi1
1.199 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.199 * [backup-simplify]: Simplify phi2 into phi2
1.199 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2)
1.199 * [backup-simplify]: Simplify (* 0 (* phi1 phi2)) into 0
1.199 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0
1.199 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* phi1 phi2))) into (* phi1 phi2)
1.200 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2))
1.200 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
1.200 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
1.200 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.200 * [backup-simplify]: Simplify 1/2 into 1/2
1.200 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
1.200 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
1.200 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.200 * [backup-simplify]: Simplify phi1 into phi1
1.200 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.200 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
1.200 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.200 * [backup-simplify]: Simplify phi2 into phi2
1.200 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.200 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
1.200 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
1.200 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.200 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.200 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))
1.200 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2))
1.200 * [backup-simplify]: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2))))
1.201 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2))))
1.201 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.201 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.201 * [backup-simplify]: Simplify (- 0) into 0
1.201 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.202 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
1.202 * [backup-simplify]: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))
1.202 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1
1.202 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.202 * [backup-simplify]: Simplify 1/2 into 1/2
1.202 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1
1.202 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1
1.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1
1.202 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1
1.202 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1
1.202 * [taylor]: Taking taylor expansion of phi2 in phi1
1.202 * [backup-simplify]: Simplify phi2 into phi2
1.202 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
1.202 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2))
1.202 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1
1.202 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1
1.202 * [taylor]: Taking taylor expansion of phi1 in phi1
1.202 * [backup-simplify]: Simplify 0 into 0
1.202 * [backup-simplify]: Simplify 1 into 1
1.202 * [backup-simplify]: Simplify (* 1 1) into 1
1.203 * [backup-simplify]: Simplify (/ 1 1) into 1
1.203 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1
1.203 * [taylor]: Taking taylor expansion of 2 in phi1
1.203 * [backup-simplify]: Simplify 2 into 2
1.203 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1
1.203 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1
1.203 * [taylor]: Taking taylor expansion of phi1 in phi1
1.203 * [backup-simplify]: Simplify 0 into 0
1.203 * [backup-simplify]: Simplify 1 into 1
1.203 * [taylor]: Taking taylor expansion of phi2 in phi1
1.203 * [backup-simplify]: Simplify phi2 into phi2
1.203 * [backup-simplify]: Simplify (* 0 phi2) into 0
1.203 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2
1.203 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.203 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
1.203 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
1.203 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.203 * [backup-simplify]: Simplify 1/2 into 1/2
1.203 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
1.203 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
1.203 * [taylor]: Taking taylor expansion of phi1 in phi1
1.203 * [backup-simplify]: Simplify 0 into 0
1.203 * [backup-simplify]: Simplify 1 into 1
1.204 * [backup-simplify]: Simplify (/ 1 1) into 1
1.204 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
1.204 * [taylor]: Taking taylor expansion of phi2 in phi1
1.204 * [backup-simplify]: Simplify phi2 into phi2
1.204 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.204 * [backup-simplify]: Simplify (+ 1 0) into 1
1.204 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.204 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.205 * [backup-simplify]: Simplify (+ 0 1) into 1
1.205 * [backup-simplify]: Simplify (+ 1 0) into 1
1.205 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
1.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.206 * [backup-simplify]: Simplify (+ 0 0) into 0
1.206 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2)
1.206 * [backup-simplify]: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2)))
1.206 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2)))
1.207 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))
1.207 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))
1.207 * [taylor]: Taking taylor expansion of (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2
1.207 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2
1.207 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2
1.207 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
1.207 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
1.207 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.207 * [backup-simplify]: Simplify 1/2 into 1/2
1.207 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
1.207 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
1.207 * [taylor]: Taking taylor expansion of phi1 in phi2
1.207 * [backup-simplify]: Simplify phi1 into phi1
1.207 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.207 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
1.207 * [taylor]: Taking taylor expansion of phi2 in phi2
1.207 * [backup-simplify]: Simplify 0 into 0
1.207 * [backup-simplify]: Simplify 1 into 1
1.207 * [backup-simplify]: Simplify (/ 1 1) into 1
1.208 * [backup-simplify]: Simplify (+ 0 1) into 1
1.208 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.208 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.208 * [taylor]: Taking taylor expansion of phi2 in phi2
1.208 * [backup-simplify]: Simplify 0 into 0
1.208 * [backup-simplify]: Simplify 1 into 1
1.208 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.209 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.209 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
1.209 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))
1.209 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))
1.210 * [backup-simplify]: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))
1.210 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1
1.210 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.210 * [backup-simplify]: Simplify 1/2 into 1/2
1.210 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1
1.210 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1
1.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1
1.210 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1
1.210 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1
1.210 * [taylor]: Taking taylor expansion of phi2 in phi1
1.210 * [backup-simplify]: Simplify phi2 into phi2
1.210 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
1.210 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2))
1.211 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1
1.211 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1
1.211 * [taylor]: Taking taylor expansion of phi1 in phi1
1.211 * [backup-simplify]: Simplify 0 into 0
1.211 * [backup-simplify]: Simplify 1 into 1
1.211 * [backup-simplify]: Simplify (* 1 1) into 1
1.211 * [backup-simplify]: Simplify (/ 1 1) into 1
1.211 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1
1.211 * [taylor]: Taking taylor expansion of 2 in phi1
1.211 * [backup-simplify]: Simplify 2 into 2
1.211 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1
1.211 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1
1.211 * [taylor]: Taking taylor expansion of phi1 in phi1
1.211 * [backup-simplify]: Simplify 0 into 0
1.211 * [backup-simplify]: Simplify 1 into 1
1.211 * [taylor]: Taking taylor expansion of phi2 in phi1
1.211 * [backup-simplify]: Simplify phi2 into phi2
1.212 * [backup-simplify]: Simplify (* 0 phi2) into 0
1.212 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2
1.212 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.212 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
1.212 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
1.212 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.212 * [backup-simplify]: Simplify 1/2 into 1/2
1.212 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
1.212 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
1.212 * [taylor]: Taking taylor expansion of phi1 in phi1
1.212 * [backup-simplify]: Simplify 0 into 0
1.212 * [backup-simplify]: Simplify 1 into 1
1.212 * [backup-simplify]: Simplify (/ 1 1) into 1
1.212 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
1.212 * [taylor]: Taking taylor expansion of phi2 in phi1
1.212 * [backup-simplify]: Simplify phi2 into phi2
1.212 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.213 * [backup-simplify]: Simplify (+ 1 0) into 1
1.213 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.213 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.213 * [backup-simplify]: Simplify (+ 0 1) into 1
1.214 * [backup-simplify]: Simplify (+ 1 0) into 1
1.214 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
1.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.215 * [backup-simplify]: Simplify (+ 0 0) into 0
1.215 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2)
1.215 * [backup-simplify]: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2)))
1.215 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2)))
1.216 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))
1.216 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))
1.216 * [taylor]: Taking taylor expansion of (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2
1.216 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2
1.216 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2
1.216 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
1.216 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
1.216 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.216 * [backup-simplify]: Simplify 1/2 into 1/2
1.216 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
1.216 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
1.216 * [taylor]: Taking taylor expansion of phi1 in phi2
1.216 * [backup-simplify]: Simplify phi1 into phi1
1.216 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.216 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
1.216 * [taylor]: Taking taylor expansion of phi2 in phi2
1.216 * [backup-simplify]: Simplify 0 into 0
1.216 * [backup-simplify]: Simplify 1 into 1
1.216 * [backup-simplify]: Simplify (/ 1 1) into 1
1.217 * [backup-simplify]: Simplify (+ 0 1) into 1
1.217 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.217 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.217 * [taylor]: Taking taylor expansion of phi2 in phi2
1.217 * [backup-simplify]: Simplify 0 into 0
1.217 * [backup-simplify]: Simplify 1 into 1
1.217 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.218 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.218 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
1.218 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))
1.218 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))
1.218 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.219 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
1.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
1.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
1.219 * [backup-simplify]: Simplify (+ 0 0) into 0
1.220 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
1.220 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.221 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
1.221 * [backup-simplify]: Simplify (- 0) into 0
1.221 * [backup-simplify]: Simplify (+ 0 0) into 0
1.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.223 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
1.223 * [taylor]: Taking taylor expansion of 0 in phi1
1.223 * [backup-simplify]: Simplify 0 into 0
1.223 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.224 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
1.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
1.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
1.224 * [backup-simplify]: Simplify (+ 0 0) into 0
1.225 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
1.225 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.226 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
1.226 * [backup-simplify]: Simplify (- 0) into 0
1.226 * [backup-simplify]: Simplify (+ 0 0) into 0
1.226 * [taylor]: Taking taylor expansion of 0 in phi1
1.226 * [backup-simplify]: Simplify 0 into 0
1.226 * [taylor]: Taking taylor expansion of 0 in phi2
1.226 * [backup-simplify]: Simplify 0 into 0
1.226 * [taylor]: Taking taylor expansion of 0 in phi2
1.226 * [backup-simplify]: Simplify 0 into 0
1.227 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
1.227 * [taylor]: Taking taylor expansion of 0 in phi2
1.227 * [backup-simplify]: Simplify 0 into 0
1.227 * [taylor]: Taking taylor expansion of 0 in phi2
1.227 * [backup-simplify]: Simplify 0 into 0
1.227 * [backup-simplify]: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
1.227 * [backup-simplify]: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
1.228 * [backup-simplify]: Simplify (+ (* (* -1 (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2)))))) (* 1 (* 1 (* (/ 1 (/ 1 lambda2)) 1)))) (+ (* (- (/ 1 (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))))) (* (/ 1 (/ 1 phi2)) (* (/ 1 (/ 1 phi1)) (* 1 (/ 1 lambda1))))) (* (- (/ 1 (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))))) (* (/ 1 (/ 1 phi2)) (* (/ 1 (/ 1 phi1)) (* (/ 1 (/ 1 lambda2)) (pow (/ 1 lambda1) 2))))))) into (- (+ (/ (* lambda2 (* phi1 phi2)) (* (cos (* 1/2 (+ phi1 phi2))) (pow lambda1 2))) (+ (/ (* phi1 phi2) (* (cos (* 1/2 (+ phi1 phi2))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))))
1.229 * [backup-simplify]: Simplify (sqrt (+ (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))))) into (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))))
1.229 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in (lambda1 lambda2 phi1 phi2) around 0
1.229 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in phi2
1.229 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in phi2
1.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in phi2
1.229 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi2
1.229 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2
1.229 * [taylor]: Taking taylor expansion of phi2 in phi2
1.229 * [backup-simplify]: Simplify 0 into 0
1.229 * [backup-simplify]: Simplify 1 into 1
1.229 * [backup-simplify]: Simplify (* 1 1) into 1
1.229 * [backup-simplify]: Simplify (/ 1 1) into 1
1.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in phi2
1.229 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi2
1.229 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2
1.229 * [taylor]: Taking taylor expansion of phi1 in phi2
1.229 * [backup-simplify]: Simplify phi1 into phi1
1.229 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2)
1.229 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2))
1.229 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in phi2
1.229 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi2
1.230 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
1.230 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
1.230 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
1.230 * [taylor]: Taking taylor expansion of -1/2 in phi2
1.230 * [backup-simplify]: Simplify -1/2 into -1/2
1.230 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
1.230 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
1.230 * [taylor]: Taking taylor expansion of phi1 in phi2
1.230 * [backup-simplify]: Simplify phi1 into phi1
1.230 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.230 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
1.230 * [taylor]: Taking taylor expansion of phi2 in phi2
1.230 * [backup-simplify]: Simplify 0 into 0
1.230 * [backup-simplify]: Simplify 1 into 1
1.230 * [backup-simplify]: Simplify (/ 1 1) into 1
1.230 * [backup-simplify]: Simplify (+ 0 1) into 1
1.231 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
1.231 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.231 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2
1.231 * [taylor]: Taking taylor expansion of lambda1 in phi2
1.231 * [backup-simplify]: Simplify lambda1 into lambda1
1.231 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.231 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2)
1.231 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))
1.231 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi2
1.231 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
1.231 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
1.231 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
1.231 * [taylor]: Taking taylor expansion of -1/2 in phi2
1.231 * [backup-simplify]: Simplify -1/2 into -1/2
1.231 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
1.231 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
1.231 * [taylor]: Taking taylor expansion of phi1 in phi2
1.231 * [backup-simplify]: Simplify phi1 into phi1
1.231 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.231 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
1.231 * [taylor]: Taking taylor expansion of phi2 in phi2
1.231 * [backup-simplify]: Simplify 0 into 0
1.231 * [backup-simplify]: Simplify 1 into 1
1.232 * [backup-simplify]: Simplify (/ 1 1) into 1
1.232 * [backup-simplify]: Simplify (+ 0 1) into 1
1.232 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
1.232 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.232 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2
1.232 * [taylor]: Taking taylor expansion of lambda2 in phi2
1.232 * [backup-simplify]: Simplify lambda2 into lambda2
1.232 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.232 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2)
1.233 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
1.233 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in phi2
1.233 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi2
1.233 * [taylor]: Taking taylor expansion of 2 in phi2
1.233 * [backup-simplify]: Simplify 2 into 2
1.233 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi2
1.233 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2
1.233 * [taylor]: Taking taylor expansion of phi1 in phi2
1.233 * [backup-simplify]: Simplify phi1 into phi1
1.233 * [taylor]: Taking taylor expansion of phi2 in phi2
1.233 * [backup-simplify]: Simplify 0 into 0
1.233 * [backup-simplify]: Simplify 1 into 1
1.233 * [backup-simplify]: Simplify (* phi1 0) into 0
1.233 * [backup-simplify]: Simplify (+ (* phi1 1) (* 0 0)) into phi1
1.233 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.233 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in phi2
1.233 * [taylor]: Taking taylor expansion of 2 in phi2
1.233 * [backup-simplify]: Simplify 2 into 2
1.233 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in phi2
1.233 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
1.233 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
1.233 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
1.233 * [taylor]: Taking taylor expansion of -1/2 in phi2
1.233 * [backup-simplify]: Simplify -1/2 into -1/2
1.233 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
1.233 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
1.233 * [taylor]: Taking taylor expansion of phi1 in phi2
1.233 * [backup-simplify]: Simplify phi1 into phi1
1.233 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.233 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
1.233 * [taylor]: Taking taylor expansion of phi2 in phi2
1.233 * [backup-simplify]: Simplify 0 into 0
1.233 * [backup-simplify]: Simplify 1 into 1
1.234 * [backup-simplify]: Simplify (/ 1 1) into 1
1.234 * [backup-simplify]: Simplify (+ 0 1) into 1
1.234 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
1.234 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.234 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in phi2
1.234 * [taylor]: Taking taylor expansion of lambda1 in phi2
1.234 * [backup-simplify]: Simplify lambda1 into lambda1
1.234 * [taylor]: Taking taylor expansion of lambda2 in phi2
1.234 * [backup-simplify]: Simplify lambda2 into lambda2
1.234 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.235 * [backup-simplify]: Simplify (* lambda1 lambda2) into (* lambda2 lambda1)
1.235 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))
1.235 * [backup-simplify]: Simplify (+ 1 0) into 1
1.235 * [backup-simplify]: Simplify (+ 1 0) into 1
1.235 * [backup-simplify]: Simplify (sqrt 1) into 1
1.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.237 * [backup-simplify]: Simplify (+ 0 0) into 0
1.237 * [backup-simplify]: Simplify (* 2 (/ 1 phi1)) into (/ 2 phi1)
1.237 * [backup-simplify]: Simplify (+ (/ 2 phi1) 0) into (* 2 (/ 1 phi1))
1.237 * [backup-simplify]: Simplify (- (* 2 (/ 1 phi1))) into (- (* 2 (/ 1 phi1)))
1.237 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi1)))) into (- (* 2 (/ 1 phi1)))
1.237 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 phi1))) (* 2 (sqrt 1))) into (/ -1 phi1)
1.237 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in phi1
1.237 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in phi1
1.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in phi1
1.237 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1
1.237 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1
1.237 * [taylor]: Taking taylor expansion of phi2 in phi1
1.237 * [backup-simplify]: Simplify phi2 into phi2
1.237 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
1.237 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2))
1.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in phi1
1.237 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1
1.237 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1
1.237 * [taylor]: Taking taylor expansion of phi1 in phi1
1.237 * [backup-simplify]: Simplify 0 into 0
1.237 * [backup-simplify]: Simplify 1 into 1
1.238 * [backup-simplify]: Simplify (* 1 1) into 1
1.238 * [backup-simplify]: Simplify (/ 1 1) into 1
1.238 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in phi1
1.238 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi1
1.238 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
1.238 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
1.238 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
1.238 * [taylor]: Taking taylor expansion of -1/2 in phi1
1.238 * [backup-simplify]: Simplify -1/2 into -1/2
1.238 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
1.238 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
1.238 * [taylor]: Taking taylor expansion of phi1 in phi1
1.238 * [backup-simplify]: Simplify 0 into 0
1.238 * [backup-simplify]: Simplify 1 into 1
1.238 * [backup-simplify]: Simplify (/ 1 1) into 1
1.238 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
1.238 * [taylor]: Taking taylor expansion of phi2 in phi1
1.238 * [backup-simplify]: Simplify phi2 into phi2
1.239 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.239 * [backup-simplify]: Simplify (+ 1 0) into 1
1.239 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
1.239 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.239 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1
1.239 * [taylor]: Taking taylor expansion of lambda1 in phi1
1.239 * [backup-simplify]: Simplify lambda1 into lambda1
1.239 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.239 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2)
1.240 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))
1.240 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi1
1.240 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
1.240 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
1.240 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
1.240 * [taylor]: Taking taylor expansion of -1/2 in phi1
1.240 * [backup-simplify]: Simplify -1/2 into -1/2
1.240 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
1.240 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
1.240 * [taylor]: Taking taylor expansion of phi1 in phi1
1.240 * [backup-simplify]: Simplify 0 into 0
1.240 * [backup-simplify]: Simplify 1 into 1
1.240 * [backup-simplify]: Simplify (/ 1 1) into 1
1.240 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
1.240 * [taylor]: Taking taylor expansion of phi2 in phi1
1.240 * [backup-simplify]: Simplify phi2 into phi2
1.240 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.240 * [backup-simplify]: Simplify (+ 1 0) into 1
1.241 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
1.241 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.241 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1
1.241 * [taylor]: Taking taylor expansion of lambda2 in phi1
1.241 * [backup-simplify]: Simplify lambda2 into lambda2
1.241 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.241 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2)
1.241 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
1.241 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in phi1
1.241 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1
1.241 * [taylor]: Taking taylor expansion of 2 in phi1
1.241 * [backup-simplify]: Simplify 2 into 2
1.241 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1
1.241 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1
1.241 * [taylor]: Taking taylor expansion of phi1 in phi1
1.241 * [backup-simplify]: Simplify 0 into 0
1.241 * [backup-simplify]: Simplify 1 into 1
1.241 * [taylor]: Taking taylor expansion of phi2 in phi1
1.241 * [backup-simplify]: Simplify phi2 into phi2
1.241 * [backup-simplify]: Simplify (* 0 phi2) into 0
1.242 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2
1.242 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.242 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in phi1
1.242 * [taylor]: Taking taylor expansion of 2 in phi1
1.242 * [backup-simplify]: Simplify 2 into 2
1.242 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in phi1
1.242 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
1.242 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
1.242 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
1.242 * [taylor]: Taking taylor expansion of -1/2 in phi1
1.242 * [backup-simplify]: Simplify -1/2 into -1/2
1.242 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
1.242 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
1.242 * [taylor]: Taking taylor expansion of phi1 in phi1
1.242 * [backup-simplify]: Simplify 0 into 0
1.242 * [backup-simplify]: Simplify 1 into 1
1.242 * [backup-simplify]: Simplify (/ 1 1) into 1
1.242 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
1.242 * [taylor]: Taking taylor expansion of phi2 in phi1
1.242 * [backup-simplify]: Simplify phi2 into phi2
1.242 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.242 * [backup-simplify]: Simplify (+ 1 0) into 1
1.243 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
1.243 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.243 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in phi1
1.243 * [taylor]: Taking taylor expansion of lambda1 in phi1
1.243 * [backup-simplify]: Simplify lambda1 into lambda1
1.243 * [taylor]: Taking taylor expansion of lambda2 in phi1
1.243 * [backup-simplify]: Simplify lambda2 into lambda2
1.243 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.243 * [backup-simplify]: Simplify (* lambda1 lambda2) into (* lambda2 lambda1)
1.243 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))
1.244 * [backup-simplify]: Simplify (+ 1 0) into 1
1.244 * [backup-simplify]: Simplify (+ 0 1) into 1
1.244 * [backup-simplify]: Simplify (+ 1 0) into 1
1.244 * [backup-simplify]: Simplify (sqrt 1) into 1
1.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.245 * [backup-simplify]: Simplify (+ 0 0) into 0
1.246 * [backup-simplify]: Simplify (+ 0 0) into 0
1.246 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2)
1.246 * [backup-simplify]: Simplify (+ (/ 2 phi2) 0) into (* 2 (/ 1 phi2))
1.246 * [backup-simplify]: Simplify (- (* 2 (/ 1 phi2))) into (- (* 2 (/ 1 phi2)))
1.246 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2)))
1.246 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 phi2))) (* 2 (sqrt 1))) into (/ -1 phi2)
1.246 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda2
1.246 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda2
1.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda2
1.246 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2
1.246 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2
1.246 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.246 * [backup-simplify]: Simplify phi2 into phi2
1.246 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
1.246 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2))
1.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda2
1.247 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2
1.247 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2
1.247 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.247 * [backup-simplify]: Simplify phi1 into phi1
1.247 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2)
1.247 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2))
1.247 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda2
1.247 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda2
1.247 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
1.247 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
1.247 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
1.247 * [taylor]: Taking taylor expansion of -1/2 in lambda2
1.247 * [backup-simplify]: Simplify -1/2 into -1/2
1.247 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
1.247 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
1.247 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.247 * [backup-simplify]: Simplify phi1 into phi1
1.247 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.247 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
1.247 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.247 * [backup-simplify]: Simplify phi2 into phi2
1.247 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.247 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
1.247 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
1.247 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.247 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.247 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.247 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.248 * [backup-simplify]: Simplify (- 0) into 0
1.248 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.248 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2
1.248 * [taylor]: Taking taylor expansion of lambda1 in lambda2
1.248 * [backup-simplify]: Simplify lambda1 into lambda1
1.248 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.248 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2)
1.248 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))
1.248 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2
1.248 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
1.248 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
1.248 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
1.248 * [taylor]: Taking taylor expansion of -1/2 in lambda2
1.248 * [backup-simplify]: Simplify -1/2 into -1/2
1.248 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
1.248 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
1.248 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.248 * [backup-simplify]: Simplify phi1 into phi1
1.248 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.248 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
1.248 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.248 * [backup-simplify]: Simplify phi2 into phi2
1.248 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.249 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
1.249 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
1.249 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.249 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.249 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.249 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.249 * [backup-simplify]: Simplify (- 0) into 0
1.249 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.249 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2
1.249 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.249 * [backup-simplify]: Simplify 0 into 0
1.249 * [backup-simplify]: Simplify 1 into 1
1.249 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.250 * [backup-simplify]: Simplify (* 1 1) into 1
1.250 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.250 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda2
1.250 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2
1.250 * [taylor]: Taking taylor expansion of 2 in lambda2
1.250 * [backup-simplify]: Simplify 2 into 2
1.250 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2
1.250 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2
1.250 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.250 * [backup-simplify]: Simplify phi1 into phi1
1.250 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.250 * [backup-simplify]: Simplify phi2 into phi2
1.250 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2)
1.250 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2))
1.250 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda2
1.250 * [taylor]: Taking taylor expansion of 2 in lambda2
1.250 * [backup-simplify]: Simplify 2 into 2
1.250 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda2
1.250 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
1.250 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
1.250 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
1.250 * [taylor]: Taking taylor expansion of -1/2 in lambda2
1.250 * [backup-simplify]: Simplify -1/2 into -1/2
1.250 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
1.250 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
1.250 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.250 * [backup-simplify]: Simplify phi1 into phi1
1.250 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.250 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
1.250 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.250 * [backup-simplify]: Simplify phi2 into phi2
1.250 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.250 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
1.251 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
1.251 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.251 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.251 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.251 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.251 * [backup-simplify]: Simplify (- 0) into 0
1.251 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.251 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda2
1.251 * [taylor]: Taking taylor expansion of lambda1 in lambda2
1.251 * [backup-simplify]: Simplify lambda1 into lambda1
1.251 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.251 * [backup-simplify]: Simplify 0 into 0
1.251 * [backup-simplify]: Simplify 1 into 1
1.252 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.252 * [backup-simplify]: Simplify (* lambda1 0) into 0
1.252 * [backup-simplify]: Simplify (+ (* lambda1 1) (* 0 0)) into lambda1
1.252 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)
1.252 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.252 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.252 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.252 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.253 * [backup-simplify]: Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.253 * [backup-simplify]: Simplify (+ 0) into 0
1.253 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
1.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
1.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
1.254 * [backup-simplify]: Simplify (+ 0 0) into 0
1.254 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
1.254 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.255 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
1.255 * [backup-simplify]: Simplify (- 0) into 0
1.255 * [backup-simplify]: Simplify (+ 0 0) into 0
1.255 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
1.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0
1.257 * [backup-simplify]: Simplify (+ 0 0) into 0
1.257 * [backup-simplify]: Simplify (+ 0 0) into 0
1.257 * [backup-simplify]: Simplify (+ 0 0) into 0
1.257 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))
1.257 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))
1.258 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))
1.258 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))
1.258 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1))
1.258 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda1
1.258 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda1
1.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda1
1.258 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1
1.258 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1
1.258 * [taylor]: Taking taylor expansion of phi2 in lambda1
1.258 * [backup-simplify]: Simplify phi2 into phi2
1.258 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
1.258 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2))
1.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda1
1.259 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1
1.259 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1
1.259 * [taylor]: Taking taylor expansion of phi1 in lambda1
1.259 * [backup-simplify]: Simplify phi1 into phi1
1.259 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2)
1.259 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2))
1.259 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda1
1.259 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1
1.259 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
1.259 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
1.259 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
1.259 * [taylor]: Taking taylor expansion of -1/2 in lambda1
1.259 * [backup-simplify]: Simplify -1/2 into -1/2
1.259 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
1.259 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
1.259 * [taylor]: Taking taylor expansion of phi1 in lambda1
1.259 * [backup-simplify]: Simplify phi1 into phi1
1.259 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.259 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
1.259 * [taylor]: Taking taylor expansion of phi2 in lambda1
1.259 * [backup-simplify]: Simplify phi2 into phi2
1.259 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.259 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
1.259 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
1.259 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.259 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.259 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.259 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.260 * [backup-simplify]: Simplify (- 0) into 0
1.260 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.260 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1
1.260 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.260 * [backup-simplify]: Simplify 0 into 0
1.260 * [backup-simplify]: Simplify 1 into 1
1.260 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.260 * [backup-simplify]: Simplify (* 1 1) into 1
1.260 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.260 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1
1.260 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
1.260 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
1.260 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
1.260 * [taylor]: Taking taylor expansion of -1/2 in lambda1
1.260 * [backup-simplify]: Simplify -1/2 into -1/2
1.260 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
1.260 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
1.260 * [taylor]: Taking taylor expansion of phi1 in lambda1
1.261 * [backup-simplify]: Simplify phi1 into phi1
1.261 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.261 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
1.261 * [taylor]: Taking taylor expansion of phi2 in lambda1
1.261 * [backup-simplify]: Simplify phi2 into phi2
1.261 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.261 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
1.261 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
1.261 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.261 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.261 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.261 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.261 * [backup-simplify]: Simplify (- 0) into 0
1.261 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.261 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1
1.261 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.261 * [backup-simplify]: Simplify lambda2 into lambda2
1.262 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.262 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2)
1.262 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
1.262 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda1
1.262 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1
1.262 * [taylor]: Taking taylor expansion of 2 in lambda1
1.262 * [backup-simplify]: Simplify 2 into 2
1.262 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1
1.262 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1
1.262 * [taylor]: Taking taylor expansion of phi1 in lambda1
1.262 * [backup-simplify]: Simplify phi1 into phi1
1.262 * [taylor]: Taking taylor expansion of phi2 in lambda1
1.262 * [backup-simplify]: Simplify phi2 into phi2
1.262 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2)
1.262 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2))
1.262 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda1
1.262 * [taylor]: Taking taylor expansion of 2 in lambda1
1.262 * [backup-simplify]: Simplify 2 into 2
1.262 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda1
1.262 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
1.262 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
1.262 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
1.262 * [taylor]: Taking taylor expansion of -1/2 in lambda1
1.262 * [backup-simplify]: Simplify -1/2 into -1/2
1.262 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
1.262 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
1.262 * [taylor]: Taking taylor expansion of phi1 in lambda1
1.262 * [backup-simplify]: Simplify phi1 into phi1
1.262 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.262 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
1.262 * [taylor]: Taking taylor expansion of phi2 in lambda1
1.262 * [backup-simplify]: Simplify phi2 into phi2
1.262 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.262 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
1.263 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
1.263 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.263 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.263 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.263 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.263 * [backup-simplify]: Simplify (- 0) into 0
1.263 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.263 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda1
1.263 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.263 * [backup-simplify]: Simplify 0 into 0
1.263 * [backup-simplify]: Simplify 1 into 1
1.263 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.263 * [backup-simplify]: Simplify lambda2 into lambda2
1.263 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.264 * [backup-simplify]: Simplify (* 0 lambda2) into 0
1.264 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda2)) into lambda2
1.264 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)
1.264 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.264 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.265 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.265 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.265 * [backup-simplify]: Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.267 * [backup-simplify]: Simplify (+ 0) into 0
1.267 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
1.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
1.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
1.268 * [backup-simplify]: Simplify (+ 0 0) into 0
1.268 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
1.268 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.269 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
1.269 * [backup-simplify]: Simplify (- 0) into 0
1.269 * [backup-simplify]: Simplify (+ 0 0) into 0
1.269 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
1.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0
1.271 * [backup-simplify]: Simplify (+ 0 0) into 0
1.271 * [backup-simplify]: Simplify (+ 0 0) into 0
1.271 * [backup-simplify]: Simplify (+ 0 0) into 0
1.271 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))
1.272 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))
1.272 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
1.272 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
1.272 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2))
1.272 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda1
1.272 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda1
1.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda1
1.272 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1
1.272 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1
1.272 * [taylor]: Taking taylor expansion of phi2 in lambda1
1.272 * [backup-simplify]: Simplify phi2 into phi2
1.272 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
1.273 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2))
1.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda1
1.273 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1
1.273 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1
1.273 * [taylor]: Taking taylor expansion of phi1 in lambda1
1.273 * [backup-simplify]: Simplify phi1 into phi1
1.273 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2)
1.273 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2))
1.273 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda1
1.273 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1
1.273 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
1.273 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
1.273 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
1.273 * [taylor]: Taking taylor expansion of -1/2 in lambda1
1.273 * [backup-simplify]: Simplify -1/2 into -1/2
1.273 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
1.273 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
1.273 * [taylor]: Taking taylor expansion of phi1 in lambda1
1.273 * [backup-simplify]: Simplify phi1 into phi1
1.273 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.273 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
1.273 * [taylor]: Taking taylor expansion of phi2 in lambda1
1.273 * [backup-simplify]: Simplify phi2 into phi2
1.273 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.273 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
1.273 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
1.273 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.273 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.273 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.273 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.274 * [backup-simplify]: Simplify (- 0) into 0
1.274 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.274 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1
1.274 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.274 * [backup-simplify]: Simplify 0 into 0
1.274 * [backup-simplify]: Simplify 1 into 1
1.274 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.274 * [backup-simplify]: Simplify (* 1 1) into 1
1.274 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.274 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1
1.274 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
1.275 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
1.275 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
1.275 * [taylor]: Taking taylor expansion of -1/2 in lambda1
1.275 * [backup-simplify]: Simplify -1/2 into -1/2
1.275 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
1.275 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
1.275 * [taylor]: Taking taylor expansion of phi1 in lambda1
1.275 * [backup-simplify]: Simplify phi1 into phi1
1.275 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.275 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
1.275 * [taylor]: Taking taylor expansion of phi2 in lambda1
1.275 * [backup-simplify]: Simplify phi2 into phi2
1.275 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.275 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
1.275 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
1.275 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.275 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.275 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.275 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.275 * [backup-simplify]: Simplify (- 0) into 0
1.276 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.276 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1
1.276 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.276 * [backup-simplify]: Simplify lambda2 into lambda2
1.276 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.276 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2)
1.276 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
1.276 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda1
1.276 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1
1.276 * [taylor]: Taking taylor expansion of 2 in lambda1
1.276 * [backup-simplify]: Simplify 2 into 2
1.276 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1
1.276 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1
1.276 * [taylor]: Taking taylor expansion of phi1 in lambda1
1.276 * [backup-simplify]: Simplify phi1 into phi1
1.276 * [taylor]: Taking taylor expansion of phi2 in lambda1
1.276 * [backup-simplify]: Simplify phi2 into phi2
1.276 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2)
1.276 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2))
1.276 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda1
1.276 * [taylor]: Taking taylor expansion of 2 in lambda1
1.276 * [backup-simplify]: Simplify 2 into 2
1.276 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda1
1.276 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
1.276 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
1.276 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
1.276 * [taylor]: Taking taylor expansion of -1/2 in lambda1
1.276 * [backup-simplify]: Simplify -1/2 into -1/2
1.276 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
1.276 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
1.276 * [taylor]: Taking taylor expansion of phi1 in lambda1
1.276 * [backup-simplify]: Simplify phi1 into phi1
1.276 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.276 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
1.276 * [taylor]: Taking taylor expansion of phi2 in lambda1
1.276 * [backup-simplify]: Simplify phi2 into phi2
1.276 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.277 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
1.277 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
1.277 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.277 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.277 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.277 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.277 * [backup-simplify]: Simplify (- 0) into 0
1.277 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.277 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda1
1.277 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.277 * [backup-simplify]: Simplify 0 into 0
1.277 * [backup-simplify]: Simplify 1 into 1
1.277 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.277 * [backup-simplify]: Simplify lambda2 into lambda2
1.278 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.278 * [backup-simplify]: Simplify (* 0 lambda2) into 0
1.278 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda2)) into lambda2
1.278 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)
1.278 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.279 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.279 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.279 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.279 * [backup-simplify]: Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.280 * [backup-simplify]: Simplify (+ 0) into 0
1.280 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
1.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
1.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
1.281 * [backup-simplify]: Simplify (+ 0 0) into 0
1.281 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
1.282 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.283 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
1.283 * [backup-simplify]: Simplify (- 0) into 0
1.284 * [backup-simplify]: Simplify (+ 0 0) into 0
1.284 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
1.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0
1.286 * [backup-simplify]: Simplify (+ 0 0) into 0
1.286 * [backup-simplify]: Simplify (+ 0 0) into 0
1.287 * [backup-simplify]: Simplify (+ 0 0) into 0
1.287 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))
1.287 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))
1.288 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
1.288 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
1.288 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2))
1.289 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
1.289 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
1.289 * [taylor]: Taking taylor expansion of -1/2 in lambda2
1.289 * [backup-simplify]: Simplify -1/2 into -1/2
1.289 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
1.289 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
1.289 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.289 * [backup-simplify]: Simplify phi1 into phi1
1.289 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.289 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
1.289 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.289 * [backup-simplify]: Simplify phi2 into phi2
1.289 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.289 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
1.289 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
1.289 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.289 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.290 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) in lambda2
1.290 * [taylor]: Taking taylor expansion of -1 in lambda2
1.290 * [backup-simplify]: Simplify -1 into -1
1.290 * [taylor]: Taking taylor expansion of (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2) in lambda2
1.290 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
1.290 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
1.290 * [taylor]: Taking taylor expansion of -1/2 in lambda2
1.290 * [backup-simplify]: Simplify -1/2 into -1/2
1.290 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
1.290 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
1.290 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.290 * [backup-simplify]: Simplify phi1 into phi1
1.290 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.290 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
1.290 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.290 * [backup-simplify]: Simplify phi2 into phi2
1.290 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.290 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
1.290 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
1.290 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.290 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.290 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.290 * [backup-simplify]: Simplify 0 into 0
1.291 * [backup-simplify]: Simplify 1 into 1
1.291 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.291 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.291 * [backup-simplify]: Simplify (- 0) into 0
1.291 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.292 * [backup-simplify]: Simplify (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.292 * [backup-simplify]: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
1.292 * [taylor]: Taking taylor expansion of (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1
1.292 * [taylor]: Taking taylor expansion of -1 in phi1
1.292 * [backup-simplify]: Simplify -1 into -1
1.292 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
1.292 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
1.292 * [taylor]: Taking taylor expansion of -1/2 in phi1
1.292 * [backup-simplify]: Simplify -1/2 into -1/2
1.292 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
1.292 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
1.292 * [taylor]: Taking taylor expansion of phi1 in phi1
1.292 * [backup-simplify]: Simplify 0 into 0
1.292 * [backup-simplify]: Simplify 1 into 1
1.292 * [backup-simplify]: Simplify (/ 1 1) into 1
1.292 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
1.292 * [taylor]: Taking taylor expansion of phi2 in phi1
1.292 * [backup-simplify]: Simplify phi2 into phi2
1.292 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.293 * [backup-simplify]: Simplify (+ 1 0) into 1
1.293 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
1.294 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.294 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.294 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.294 * [backup-simplify]: Simplify (- 0) into 0
1.294 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.295 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
1.295 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
1.295 * [taylor]: Taking taylor expansion of -1/2 in phi1
1.295 * [backup-simplify]: Simplify -1/2 into -1/2
1.295 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
1.295 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
1.295 * [taylor]: Taking taylor expansion of phi1 in phi1
1.295 * [backup-simplify]: Simplify 0 into 0
1.295 * [backup-simplify]: Simplify 1 into 1
1.295 * [backup-simplify]: Simplify (/ 1 1) into 1
1.295 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
1.295 * [taylor]: Taking taylor expansion of phi2 in phi1
1.295 * [backup-simplify]: Simplify phi2 into phi2
1.295 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.296 * [backup-simplify]: Simplify (+ 1 0) into 1
1.296 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
1.296 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.297 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.298 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
1.298 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
1.298 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
1.299 * [backup-simplify]: Simplify (+ 0 0) into 0
1.300 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
1.300 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.301 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
1.301 * [backup-simplify]: Simplify (- 0) into 0
1.302 * [backup-simplify]: Simplify (+ 0 0) into 0
1.302 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
1.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.305 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.305 * [backup-simplify]: Simplify (+ 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
1.306 * [backup-simplify]: Simplify (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) into (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))
1.306 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) into (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))
1.306 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2))
1.307 * [backup-simplify]: Simplify (+ 0) into 0
1.307 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
1.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
1.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
1.308 * [backup-simplify]: Simplify (+ 0 0) into 0
1.308 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
1.309 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.310 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
1.310 * [backup-simplify]: Simplify (- 0) into 0
1.310 * [backup-simplify]: Simplify (+ 0 0) into 0
1.311 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
1.311 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 lambda2))) into 0
1.312 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)))) into 0
1.312 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into 0
1.313 * [backup-simplify]: Simplify (+ (/ 2 (* phi1 phi2)) 0) into (* 2 (/ 1 (* phi1 phi2)))
1.313 * [backup-simplify]: Simplify (- (* 2 (/ 1 (* phi1 phi2)))) into (- (* 2 (/ 1 (* phi1 phi2))))
1.313 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (* 2 (/ 1 (* phi1 phi2))))
1.315 * [backup-simplify]: Simplify (/ (- (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (* 2 (/ 1 (* phi1 phi2)))) (pow (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 2) (+)) (* 2 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))
1.315 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2
1.316 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.316 * [backup-simplify]: Simplify 1/2 into 1/2
1.316 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2
1.316 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in lambda2
1.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in lambda2
1.316 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2
1.316 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2
1.316 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.316 * [backup-simplify]: Simplify phi2 into phi2
1.316 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
1.316 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2))
1.316 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2
1.316 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2
1.316 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.316 * [backup-simplify]: Simplify phi1 into phi1
1.316 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2)
1.316 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2))
1.316 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2
1.316 * [taylor]: Taking taylor expansion of 2 in lambda2
1.316 * [backup-simplify]: Simplify 2 into 2
1.316 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2
1.316 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2
1.316 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.316 * [backup-simplify]: Simplify phi1 into phi1
1.316 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.316 * [backup-simplify]: Simplify phi2 into phi2
1.316 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2)
1.317 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2))
1.317 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
1.317 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
1.317 * [taylor]: Taking taylor expansion of -1/2 in lambda2
1.317 * [backup-simplify]: Simplify -1/2 into -1/2
1.317 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
1.317 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
1.317 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.317 * [backup-simplify]: Simplify phi1 into phi1
1.317 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.317 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
1.317 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.317 * [backup-simplify]: Simplify phi2 into phi2
1.317 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.317 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
1.317 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
1.317 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.317 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.318 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))
1.318 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2))
1.318 * [backup-simplify]: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2))))
1.318 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2))))
1.319 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.319 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.319 * [backup-simplify]: Simplify (- 0) into 0
1.319 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.320 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
1.320 * [backup-simplify]: Simplify (+ 0) into 0
1.321 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
1.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
1.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
1.322 * [backup-simplify]: Simplify (+ 0 0) into 0
1.322 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
1.323 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.324 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
1.324 * [backup-simplify]: Simplify (- 0) into 0
1.324 * [backup-simplify]: Simplify (+ 0 0) into 0
1.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)))) into 0
1.326 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
1.326 * [taylor]: Taking taylor expansion of 0 in phi1
1.326 * [backup-simplify]: Simplify 0 into 0
1.326 * [backup-simplify]: Simplify (+ 0) into 0
1.327 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
1.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
1.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
1.327 * [backup-simplify]: Simplify (+ 0 0) into 0
1.328 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
1.329 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.329 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
1.330 * [backup-simplify]: Simplify (- 0) into 0
1.330 * [backup-simplify]: Simplify (+ 0 0) into 0
1.330 * [taylor]: Taking taylor expansion of 0 in phi1
1.330 * [backup-simplify]: Simplify 0 into 0
1.330 * [backup-simplify]: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
1.330 * [taylor]: Taking taylor expansion of (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi2
1.330 * [taylor]: Taking taylor expansion of -1 in phi2
1.330 * [backup-simplify]: Simplify -1 into -1
1.330 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
1.330 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
1.330 * [taylor]: Taking taylor expansion of -1/2 in phi2
1.330 * [backup-simplify]: Simplify -1/2 into -1/2
1.331 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
1.331 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
1.331 * [taylor]: Taking taylor expansion of phi1 in phi2
1.331 * [backup-simplify]: Simplify phi1 into phi1
1.331 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.331 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
1.331 * [taylor]: Taking taylor expansion of phi2 in phi2
1.331 * [backup-simplify]: Simplify 0 into 0
1.331 * [backup-simplify]: Simplify 1 into 1
1.331 * [backup-simplify]: Simplify (/ 1 1) into 1
1.332 * [backup-simplify]: Simplify (+ 0 1) into 1
1.332 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
1.332 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.332 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
1.332 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
1.332 * [taylor]: Taking taylor expansion of -1/2 in phi2
1.332 * [backup-simplify]: Simplify -1/2 into -1/2
1.332 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
1.332 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
1.332 * [taylor]: Taking taylor expansion of phi1 in phi2
1.332 * [backup-simplify]: Simplify phi1 into phi1
1.332 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.332 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
1.332 * [taylor]: Taking taylor expansion of phi2 in phi2
1.333 * [backup-simplify]: Simplify 0 into 0
1.333 * [backup-simplify]: Simplify 1 into 1
1.333 * [backup-simplify]: Simplify (/ 1 1) into 1
1.333 * [backup-simplify]: Simplify (+ 0 1) into 1
1.334 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
1.334 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.334 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0
1.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))))) into 0
1.334 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0
1.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))))) into 0
1.335 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.336 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
1.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
1.337 * [backup-simplify]: Simplify (+ 0 0) into 0
1.338 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
1.339 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.339 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.339 * [backup-simplify]: Simplify (- 0) into 0
1.340 * [backup-simplify]: Simplify (+ 0 0) into 0
1.340 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into 0
1.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.342 * [backup-simplify]: Simplify (+ 0) into 0
1.343 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
1.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
1.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
1.343 * [backup-simplify]: Simplify (+ 0 0) into 0
1.343 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
1.344 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.344 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
1.344 * [backup-simplify]: Simplify (- 0) into 0
1.345 * [backup-simplify]: Simplify (+ 0 0) into 0
1.345 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
1.345 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
1.345 * [backup-simplify]: Simplify (- (/ 0 (pow lambda2 2)) (+ (* (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ 0 (pow lambda2 2))))) into 0
1.345 * [backup-simplify]: Simplify (+ 0 0) into 0
1.346 * [backup-simplify]: Simplify (+ 0 0) into 0
1.346 * [backup-simplify]: Simplify (+ 0 0) into 0
1.346 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0
1.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))))) into 0
1.347 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (* phi1 phi2)))) into 0
1.347 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.348 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
1.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
1.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
1.348 * [backup-simplify]: Simplify (+ 0 0) into 0
1.349 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
1.349 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.350 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
1.350 * [backup-simplify]: Simplify (- 0) into 0
1.350 * [backup-simplify]: Simplify (+ 0 0) into 0
1.351 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
1.352 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 lambda2)))) into 0
1.352 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
1.352 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into 0
1.353 * [backup-simplify]: Simplify (+ 0 0) into 0
1.353 * [backup-simplify]: Simplify (- 0) into 0
1.353 * [backup-simplify]: Simplify (+ 0 0) into 0
1.354 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))))) (* 2 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))
1.354 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2
1.354 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.354 * [backup-simplify]: Simplify 1/2 into 1/2
1.354 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2
1.354 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) in lambda2
1.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) in lambda2
1.354 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (pow phi2 2))) in lambda2
1.354 * [taylor]: Taking taylor expansion of (* lambda2 (pow phi2 2)) in lambda2
1.354 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.354 * [backup-simplify]: Simplify 0 into 0
1.354 * [backup-simplify]: Simplify 1 into 1
1.354 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2
1.354 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.354 * [backup-simplify]: Simplify phi2 into phi2
1.354 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
1.354 * [backup-simplify]: Simplify (* 0 (pow phi2 2)) into 0
1.354 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0
1.355 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow phi2 2))) into (pow phi2 2)
1.355 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2))
1.355 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (pow phi1 2))) in lambda2
1.355 * [taylor]: Taking taylor expansion of (* lambda2 (pow phi1 2)) in lambda2
1.355 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.355 * [backup-simplify]: Simplify 0 into 0
1.355 * [backup-simplify]: Simplify 1 into 1
1.355 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2
1.355 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.355 * [backup-simplify]: Simplify phi1 into phi1
1.355 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2)
1.355 * [backup-simplify]: Simplify (* 0 (pow phi1 2)) into 0
1.355 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0
1.355 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow phi1 2))) into (pow phi1 2)
1.355 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2))
1.355 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* lambda2 (* phi1 phi2)))) in lambda2
1.355 * [taylor]: Taking taylor expansion of 2 in lambda2
1.355 * [backup-simplify]: Simplify 2 into 2
1.356 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (* phi1 phi2))) in lambda2
1.356 * [taylor]: Taking taylor expansion of (* lambda2 (* phi1 phi2)) in lambda2
1.356 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.356 * [backup-simplify]: Simplify 0 into 0
1.356 * [backup-simplify]: Simplify 1 into 1
1.356 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2
1.356 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.356 * [backup-simplify]: Simplify phi1 into phi1
1.356 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.356 * [backup-simplify]: Simplify phi2 into phi2
1.356 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2)
1.356 * [backup-simplify]: Simplify (* 0 (* phi1 phi2)) into 0
1.356 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0
1.356 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* phi1 phi2))) into (* phi1 phi2)
1.356 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2))
1.356 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
1.356 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
1.356 * [taylor]: Taking taylor expansion of -1/2 in lambda2
1.356 * [backup-simplify]: Simplify -1/2 into -1/2
1.356 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
1.356 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
1.356 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.356 * [backup-simplify]: Simplify phi1 into phi1
1.356 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.356 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
1.356 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.356 * [backup-simplify]: Simplify phi2 into phi2
1.356 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.357 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
1.357 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
1.357 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.357 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.357 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))
1.357 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2))
1.357 * [backup-simplify]: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2))))
1.357 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2))))
1.357 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.357 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.358 * [backup-simplify]: Simplify (- 0) into 0
1.358 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.358 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
1.358 * [backup-simplify]: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))
1.358 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1
1.358 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.358 * [backup-simplify]: Simplify 1/2 into 1/2
1.358 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1
1.358 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1
1.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1
1.358 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1
1.358 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1
1.358 * [taylor]: Taking taylor expansion of phi2 in phi1
1.358 * [backup-simplify]: Simplify phi2 into phi2
1.358 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
1.358 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2))
1.358 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1
1.358 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1
1.359 * [taylor]: Taking taylor expansion of phi1 in phi1
1.359 * [backup-simplify]: Simplify 0 into 0
1.359 * [backup-simplify]: Simplify 1 into 1
1.359 * [backup-simplify]: Simplify (* 1 1) into 1
1.359 * [backup-simplify]: Simplify (/ 1 1) into 1
1.359 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1
1.359 * [taylor]: Taking taylor expansion of 2 in phi1
1.359 * [backup-simplify]: Simplify 2 into 2
1.359 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1
1.359 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1
1.359 * [taylor]: Taking taylor expansion of phi1 in phi1
1.359 * [backup-simplify]: Simplify 0 into 0
1.359 * [backup-simplify]: Simplify 1 into 1
1.359 * [taylor]: Taking taylor expansion of phi2 in phi1
1.359 * [backup-simplify]: Simplify phi2 into phi2
1.359 * [backup-simplify]: Simplify (* 0 phi2) into 0
1.360 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2
1.360 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.360 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
1.360 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
1.360 * [taylor]: Taking taylor expansion of -1/2 in phi1
1.360 * [backup-simplify]: Simplify -1/2 into -1/2
1.360 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
1.360 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
1.360 * [taylor]: Taking taylor expansion of phi1 in phi1
1.360 * [backup-simplify]: Simplify 0 into 0
1.360 * [backup-simplify]: Simplify 1 into 1
1.360 * [backup-simplify]: Simplify (/ 1 1) into 1
1.360 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
1.360 * [taylor]: Taking taylor expansion of phi2 in phi1
1.360 * [backup-simplify]: Simplify phi2 into phi2
1.360 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.360 * [backup-simplify]: Simplify (+ 1 0) into 1
1.361 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
1.361 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.361 * [backup-simplify]: Simplify (+ 0 1) into 1
1.361 * [backup-simplify]: Simplify (+ 1 0) into 1
1.361 * [backup-simplify]: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
1.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.362 * [backup-simplify]: Simplify (+ 0 0) into 0
1.362 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2)
1.363 * [backup-simplify]: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2)))
1.363 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2)))
1.363 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))
1.363 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))
1.363 * [taylor]: Taking taylor expansion of (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2
1.363 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2
1.363 * [taylor]: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2
1.363 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
1.363 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
1.363 * [taylor]: Taking taylor expansion of -1/2 in phi2
1.363 * [backup-simplify]: Simplify -1/2 into -1/2
1.363 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
1.363 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
1.363 * [taylor]: Taking taylor expansion of phi1 in phi2
1.363 * [backup-simplify]: Simplify phi1 into phi1
1.363 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.363 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
1.363 * [taylor]: Taking taylor expansion of phi2 in phi2
1.363 * [backup-simplify]: Simplify 0 into 0
1.363 * [backup-simplify]: Simplify 1 into 1
1.364 * [backup-simplify]: Simplify (/ 1 1) into 1
1.364 * [backup-simplify]: Simplify (+ 0 1) into 1
1.364 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
1.364 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.364 * [taylor]: Taking taylor expansion of phi2 in phi2
1.364 * [backup-simplify]: Simplify 0 into 0
1.364 * [backup-simplify]: Simplify 1 into 1
1.365 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.365 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.365 * [backup-simplify]: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
1.365 * [backup-simplify]: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))
1.365 * [backup-simplify]: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))
1.366 * [backup-simplify]: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))
1.366 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1
1.366 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.366 * [backup-simplify]: Simplify 1/2 into 1/2
1.366 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1
1.366 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1
1.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1
1.366 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1
1.366 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1
1.366 * [taylor]: Taking taylor expansion of phi2 in phi1
1.366 * [backup-simplify]: Simplify phi2 into phi2
1.366 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
1.366 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2))
1.366 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1
1.366 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1
1.366 * [taylor]: Taking taylor expansion of phi1 in phi1
1.366 * [backup-simplify]: Simplify 0 into 0
1.366 * [backup-simplify]: Simplify 1 into 1
1.366 * [backup-simplify]: Simplify (* 1 1) into 1
1.366 * [backup-simplify]: Simplify (/ 1 1) into 1
1.366 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1
1.366 * [taylor]: Taking taylor expansion of 2 in phi1
1.366 * [backup-simplify]: Simplify 2 into 2
1.366 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1
1.366 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1
1.367 * [taylor]: Taking taylor expansion of phi1 in phi1
1.367 * [backup-simplify]: Simplify 0 into 0
1.367 * [backup-simplify]: Simplify 1 into 1
1.367 * [taylor]: Taking taylor expansion of phi2 in phi1
1.367 * [backup-simplify]: Simplify phi2 into phi2
1.367 * [backup-simplify]: Simplify (* 0 phi2) into 0
1.367 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2
1.367 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.367 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
1.367 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
1.367 * [taylor]: Taking taylor expansion of -1/2 in phi1
1.367 * [backup-simplify]: Simplify -1/2 into -1/2
1.367 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
1.367 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
1.367 * [taylor]: Taking taylor expansion of phi1 in phi1
1.367 * [backup-simplify]: Simplify 0 into 0
1.367 * [backup-simplify]: Simplify 1 into 1
1.367 * [backup-simplify]: Simplify (/ 1 1) into 1
1.367 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
1.367 * [taylor]: Taking taylor expansion of phi2 in phi1
1.367 * [backup-simplify]: Simplify phi2 into phi2
1.367 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.368 * [backup-simplify]: Simplify (+ 1 0) into 1
1.368 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
1.368 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.368 * [backup-simplify]: Simplify (+ 0 1) into 1
1.369 * [backup-simplify]: Simplify (+ 1 0) into 1
1.369 * [backup-simplify]: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
1.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.370 * [backup-simplify]: Simplify (+ 0 0) into 0
1.370 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2)
1.370 * [backup-simplify]: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2)))
1.370 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2)))
1.370 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))
1.370 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))
1.370 * [taylor]: Taking taylor expansion of (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2
1.371 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2
1.371 * [taylor]: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2
1.371 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
1.371 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
1.371 * [taylor]: Taking taylor expansion of -1/2 in phi2
1.371 * [backup-simplify]: Simplify -1/2 into -1/2
1.371 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
1.371 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
1.371 * [taylor]: Taking taylor expansion of phi1 in phi2
1.371 * [backup-simplify]: Simplify phi1 into phi1
1.371 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.371 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
1.371 * [taylor]: Taking taylor expansion of phi2 in phi2
1.371 * [backup-simplify]: Simplify 0 into 0
1.371 * [backup-simplify]: Simplify 1 into 1
1.371 * [backup-simplify]: Simplify (/ 1 1) into 1
1.371 * [backup-simplify]: Simplify (+ 0 1) into 1
1.372 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
1.372 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.372 * [taylor]: Taking taylor expansion of phi2 in phi2
1.372 * [backup-simplify]: Simplify 0 into 0
1.372 * [backup-simplify]: Simplify 1 into 1
1.372 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.372 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.372 * [backup-simplify]: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
1.372 * [backup-simplify]: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))
1.372 * [backup-simplify]: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))
1.373 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.373 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
1.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
1.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
1.374 * [backup-simplify]: Simplify (+ 0 0) into 0
1.374 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
1.375 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.375 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
1.376 * [backup-simplify]: Simplify (- 0) into 0
1.376 * [backup-simplify]: Simplify (+ 0 0) into 0
1.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.377 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
1.377 * [taylor]: Taking taylor expansion of 0 in phi1
1.377 * [backup-simplify]: Simplify 0 into 0
1.378 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.380 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
1.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
1.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
1.380 * [backup-simplify]: Simplify (+ 0 0) into 0
1.381 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
1.381 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.382 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
1.382 * [backup-simplify]: Simplify (- 0) into 0
1.382 * [backup-simplify]: Simplify (+ 0 0) into 0
1.382 * [taylor]: Taking taylor expansion of 0 in phi1
1.382 * [backup-simplify]: Simplify 0 into 0
1.382 * [taylor]: Taking taylor expansion of 0 in phi2
1.382 * [backup-simplify]: Simplify 0 into 0
1.383 * [taylor]: Taking taylor expansion of 0 in phi2
1.383 * [backup-simplify]: Simplify 0 into 0
1.383 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
1.383 * [taylor]: Taking taylor expansion of 0 in phi2
1.383 * [backup-simplify]: Simplify 0 into 0
1.383 * [taylor]: Taking taylor expansion of 0 in phi2
1.383 * [backup-simplify]: Simplify 0 into 0
1.383 * [backup-simplify]: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
1.383 * [backup-simplify]: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
1.384 * [backup-simplify]: Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2))))))) (* 1 (* 1 (* (/ 1 (/ 1 (- lambda2))) 1)))) (+ (* (- (/ 1 (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))))) (* (/ 1 (/ 1 (- phi2))) (* (/ 1 (/ 1 (- phi1))) (* 1 (/ 1 (- lambda1)))))) (* (- (/ 1 (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))))) (* (/ 1 (/ 1 (- phi2))) (* (/ 1 (/ 1 (- phi1))) (* (/ 1 (/ 1 (- lambda2))) (pow (/ 1 (- lambda1)) 2))))))) into (+ (/ (* lambda2 (* phi1 phi2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))) (+ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) (/ (* phi1 phi2) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))))
1.384 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2 2)
1.384 * [backup-simplify]: Simplify (cos (/ (+ phi1 phi2) 2)) into (cos (* 1/2 (+ phi1 phi2)))
1.384 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in (phi1 phi2) around 0
1.384 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2
1.384 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2
1.384 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.384 * [backup-simplify]: Simplify 1/2 into 1/2
1.384 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2
1.384 * [taylor]: Taking taylor expansion of phi1 in phi2
1.384 * [backup-simplify]: Simplify phi1 into phi1
1.384 * [taylor]: Taking taylor expansion of phi2 in phi2
1.384 * [backup-simplify]: Simplify 0 into 0
1.384 * [backup-simplify]: Simplify 1 into 1
1.384 * [backup-simplify]: Simplify (+ phi1 0) into phi1
1.384 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1)
1.384 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
1.384 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
1.385 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1
1.385 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1
1.385 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.385 * [backup-simplify]: Simplify 1/2 into 1/2
1.385 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1
1.385 * [taylor]: Taking taylor expansion of phi1 in phi1
1.385 * [backup-simplify]: Simplify 0 into 0
1.385 * [backup-simplify]: Simplify 1 into 1
1.385 * [taylor]: Taking taylor expansion of phi2 in phi1
1.385 * [backup-simplify]: Simplify phi2 into phi2
1.385 * [backup-simplify]: Simplify (+ 0 phi2) into phi2
1.385 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2)
1.385 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
1.385 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
1.385 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1
1.385 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1
1.385 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.385 * [backup-simplify]: Simplify 1/2 into 1/2
1.385 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1
1.385 * [taylor]: Taking taylor expansion of phi1 in phi1
1.385 * [backup-simplify]: Simplify 0 into 0
1.385 * [backup-simplify]: Simplify 1 into 1
1.385 * [taylor]: Taking taylor expansion of phi2 in phi1
1.385 * [backup-simplify]: Simplify phi2 into phi2
1.385 * [backup-simplify]: Simplify (+ 0 phi2) into phi2
1.385 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2)
1.385 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
1.385 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
1.385 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
1.385 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0
1.386 * [backup-simplify]: Simplify (- 0) into 0
1.386 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
1.386 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
1.386 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2
1.386 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.386 * [backup-simplify]: Simplify 1/2 into 1/2
1.386 * [taylor]: Taking taylor expansion of phi2 in phi2
1.386 * [backup-simplify]: Simplify 0 into 0
1.386 * [backup-simplify]: Simplify 1 into 1
1.386 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.386 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.386 * [backup-simplify]: Simplify 1 into 1
1.387 * [backup-simplify]: Simplify (+ 0) into 0
1.387 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0
1.387 * [backup-simplify]: Simplify (+ 1 0) into 1
1.388 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2
1.388 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
1.388 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2)))
1.388 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2))))
1.388 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2))))
1.388 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (* 1/2 phi2)))) in phi2
1.388 * [taylor]: Taking taylor expansion of (* 1/2 (sin (* 1/2 phi2))) in phi2
1.389 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.389 * [backup-simplify]: Simplify 1/2 into 1/2
1.389 * [taylor]: Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
1.389 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2
1.389 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.389 * [backup-simplify]: Simplify 1/2 into 1/2
1.389 * [taylor]: Taking taylor expansion of phi2 in phi2
1.389 * [backup-simplify]: Simplify 0 into 0
1.389 * [backup-simplify]: Simplify 1 into 1
1.389 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.389 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.390 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.390 * [backup-simplify]: Simplify (- 0) into 0
1.390 * [backup-simplify]: Simplify 0 into 0
1.390 * [backup-simplify]: Simplify (+ 0) into 0
1.390 * [backup-simplify]: Simplify 0 into 0
1.391 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
1.391 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) -1/8) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos (* 1/2 phi2))))
1.391 * [backup-simplify]: Simplify (+ 0 0) into 0
1.392 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 phi2))) into 0
1.392 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.393 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 0) (+ (* 0 1/2) (* 0 0))) into 0
1.393 * [backup-simplify]: Simplify (- 0) into 0
1.393 * [backup-simplify]: Simplify (+ (- (* 1/8 (cos (* 1/2 phi2)))) 0) into (- (* 1/8 (cos (* 1/2 phi2))))
1.393 * [taylor]: Taking taylor expansion of (- (* 1/8 (cos (* 1/2 phi2)))) in phi2
1.393 * [taylor]: Taking taylor expansion of (* 1/8 (cos (* 1/2 phi2))) in phi2
1.393 * [taylor]: Taking taylor expansion of 1/8 in phi2
1.393 * [backup-simplify]: Simplify 1/8 into 1/8
1.393 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
1.393 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2
1.393 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.393 * [backup-simplify]: Simplify 1/2 into 1/2
1.393 * [taylor]: Taking taylor expansion of phi2 in phi2
1.393 * [backup-simplify]: Simplify 0 into 0
1.393 * [backup-simplify]: Simplify 1 into 1
1.394 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.394 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.395 * [backup-simplify]: Simplify (* 1/8 1) into 1/8
1.395 * [backup-simplify]: Simplify (- 1/8) into -1/8
1.395 * [backup-simplify]: Simplify -1/8 into -1/8
1.396 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
1.397 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 0 0)) into 1/4
1.397 * [backup-simplify]: Simplify (- 1/4) into -1/4
1.397 * [backup-simplify]: Simplify -1/4 into -1/4
1.397 * [backup-simplify]: Simplify (+ (* -1/4 (* phi2 phi1)) (+ (* -1/8 (pow (* 1 phi1) 2)) 1)) into (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2))))
1.397 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.398 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in (phi1 phi2) around 0
1.398 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
1.398 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
1.398 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.398 * [backup-simplify]: Simplify 1/2 into 1/2
1.398 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
1.398 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
1.398 * [taylor]: Taking taylor expansion of phi1 in phi2
1.398 * [backup-simplify]: Simplify phi1 into phi1
1.398 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.398 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
1.398 * [taylor]: Taking taylor expansion of phi2 in phi2
1.398 * [backup-simplify]: Simplify 0 into 0
1.398 * [backup-simplify]: Simplify 1 into 1
1.398 * [backup-simplify]: Simplify (/ 1 1) into 1
1.399 * [backup-simplify]: Simplify (+ 0 1) into 1
1.399 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.399 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.399 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
1.399 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
1.399 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.399 * [backup-simplify]: Simplify 1/2 into 1/2
1.399 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
1.400 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
1.400 * [taylor]: Taking taylor expansion of phi1 in phi1
1.400 * [backup-simplify]: Simplify 0 into 0
1.400 * [backup-simplify]: Simplify 1 into 1
1.400 * [backup-simplify]: Simplify (/ 1 1) into 1
1.400 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
1.400 * [taylor]: Taking taylor expansion of phi2 in phi1
1.400 * [backup-simplify]: Simplify phi2 into phi2
1.400 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.401 * [backup-simplify]: Simplify (+ 1 0) into 1
1.401 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.401 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.401 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
1.401 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
1.401 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.401 * [backup-simplify]: Simplify 1/2 into 1/2
1.401 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
1.401 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
1.401 * [taylor]: Taking taylor expansion of phi1 in phi1
1.401 * [backup-simplify]: Simplify 0 into 0
1.401 * [backup-simplify]: Simplify 1 into 1
1.402 * [backup-simplify]: Simplify (/ 1 1) into 1
1.402 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
1.402 * [taylor]: Taking taylor expansion of phi2 in phi1
1.402 * [backup-simplify]: Simplify phi2 into phi2
1.402 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.402 * [backup-simplify]: Simplify (+ 1 0) into 1
1.403 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.403 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.403 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
1.403 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
1.403 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.403 * [backup-simplify]: Simplify 1/2 into 1/2
1.403 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
1.403 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
1.403 * [taylor]: Taking taylor expansion of phi1 in phi2
1.403 * [backup-simplify]: Simplify phi1 into phi1
1.403 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.403 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
1.403 * [taylor]: Taking taylor expansion of phi2 in phi2
1.403 * [backup-simplify]: Simplify 0 into 0
1.403 * [backup-simplify]: Simplify 1 into 1
1.404 * [backup-simplify]: Simplify (/ 1 1) into 1
1.404 * [backup-simplify]: Simplify (+ 0 1) into 1
1.404 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.405 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.405 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.405 * [taylor]: Taking taylor expansion of 0 in phi2
1.405 * [backup-simplify]: Simplify 0 into 0
1.405 * [backup-simplify]: Simplify 0 into 0
1.405 * [backup-simplify]: Simplify 0 into 0
1.405 * [taylor]: Taking taylor expansion of 0 in phi2
1.405 * [backup-simplify]: Simplify 0 into 0
1.405 * [backup-simplify]: Simplify 0 into 0
1.405 * [backup-simplify]: Simplify 0 into 0
1.405 * [backup-simplify]: Simplify 0 into 0
1.405 * [taylor]: Taking taylor expansion of 0 in phi2
1.405 * [backup-simplify]: Simplify 0 into 0
1.405 * [backup-simplify]: Simplify 0 into 0
1.405 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) into (cos (* 1/2 (+ phi1 phi2)))
1.406 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.406 * [approximate]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in (phi1 phi2) around 0
1.406 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
1.406 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
1.406 * [taylor]: Taking taylor expansion of -1/2 in phi2
1.406 * [backup-simplify]: Simplify -1/2 into -1/2
1.406 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
1.406 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
1.406 * [taylor]: Taking taylor expansion of phi1 in phi2
1.406 * [backup-simplify]: Simplify phi1 into phi1
1.406 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.406 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
1.406 * [taylor]: Taking taylor expansion of phi2 in phi2
1.406 * [backup-simplify]: Simplify 0 into 0
1.406 * [backup-simplify]: Simplify 1 into 1
1.406 * [backup-simplify]: Simplify (/ 1 1) into 1
1.407 * [backup-simplify]: Simplify (+ 0 1) into 1
1.407 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
1.407 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.407 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
1.407 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
1.407 * [taylor]: Taking taylor expansion of -1/2 in phi1
1.408 * [backup-simplify]: Simplify -1/2 into -1/2
1.408 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
1.408 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
1.408 * [taylor]: Taking taylor expansion of phi1 in phi1
1.408 * [backup-simplify]: Simplify 0 into 0
1.408 * [backup-simplify]: Simplify 1 into 1
1.408 * [backup-simplify]: Simplify (/ 1 1) into 1
1.408 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
1.408 * [taylor]: Taking taylor expansion of phi2 in phi1
1.408 * [backup-simplify]: Simplify phi2 into phi2
1.408 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.409 * [backup-simplify]: Simplify (+ 1 0) into 1
1.409 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
1.409 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.409 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
1.409 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
1.409 * [taylor]: Taking taylor expansion of -1/2 in phi1
1.409 * [backup-simplify]: Simplify -1/2 into -1/2
1.409 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
1.409 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
1.409 * [taylor]: Taking taylor expansion of phi1 in phi1
1.409 * [backup-simplify]: Simplify 0 into 0
1.409 * [backup-simplify]: Simplify 1 into 1
1.410 * [backup-simplify]: Simplify (/ 1 1) into 1
1.410 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
1.410 * [taylor]: Taking taylor expansion of phi2 in phi1
1.410 * [backup-simplify]: Simplify phi2 into phi2
1.410 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.410 * [backup-simplify]: Simplify (+ 1 0) into 1
1.411 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
1.411 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.411 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
1.411 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
1.411 * [taylor]: Taking taylor expansion of -1/2 in phi2
1.411 * [backup-simplify]: Simplify -1/2 into -1/2
1.411 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
1.411 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
1.411 * [taylor]: Taking taylor expansion of phi1 in phi2
1.411 * [backup-simplify]: Simplify phi1 into phi1
1.411 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.411 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
1.411 * [taylor]: Taking taylor expansion of phi2 in phi2
1.412 * [backup-simplify]: Simplify 0 into 0
1.412 * [backup-simplify]: Simplify 1 into 1
1.412 * [backup-simplify]: Simplify (/ 1 1) into 1
1.412 * [backup-simplify]: Simplify (+ 0 1) into 1
1.413 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
1.413 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.413 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.413 * [taylor]: Taking taylor expansion of 0 in phi2
1.413 * [backup-simplify]: Simplify 0 into 0
1.413 * [backup-simplify]: Simplify 0 into 0
1.413 * [backup-simplify]: Simplify 0 into 0
1.413 * [taylor]: Taking taylor expansion of 0 in phi2
1.413 * [backup-simplify]: Simplify 0 into 0
1.413 * [backup-simplify]: Simplify 0 into 0
1.414 * [backup-simplify]: Simplify 0 into 0
1.414 * [backup-simplify]: Simplify 0 into 0
1.414 * [taylor]: Taking taylor expansion of 0 in phi2
1.414 * [backup-simplify]: Simplify 0 into 0
1.414 * [backup-simplify]: Simplify 0 into 0
1.414 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) into (cos (* 1/2 (+ phi1 phi2)))
1.414 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 2)
1.414 * [backup-simplify]: Simplify (cos (/ (+ phi1 phi2) 2)) into (cos (* 1/2 (+ phi1 phi2)))
1.414 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in (phi1 phi2) around 0
1.414 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2
1.414 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2
1.414 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.414 * [backup-simplify]: Simplify 1/2 into 1/2
1.414 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2
1.414 * [taylor]: Taking taylor expansion of phi1 in phi2
1.414 * [backup-simplify]: Simplify phi1 into phi1
1.414 * [taylor]: Taking taylor expansion of phi2 in phi2
1.414 * [backup-simplify]: Simplify 0 into 0
1.414 * [backup-simplify]: Simplify 1 into 1
1.415 * [backup-simplify]: Simplify (+ phi1 0) into phi1
1.415 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1)
1.415 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
1.415 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
1.415 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1
1.415 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1
1.415 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.415 * [backup-simplify]: Simplify 1/2 into 1/2
1.415 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1
1.415 * [taylor]: Taking taylor expansion of phi1 in phi1
1.415 * [backup-simplify]: Simplify 0 into 0
1.415 * [backup-simplify]: Simplify 1 into 1
1.415 * [taylor]: Taking taylor expansion of phi2 in phi1
1.415 * [backup-simplify]: Simplify phi2 into phi2
1.415 * [backup-simplify]: Simplify (+ 0 phi2) into phi2
1.415 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2)
1.416 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
1.416 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
1.416 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1
1.416 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1
1.416 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.416 * [backup-simplify]: Simplify 1/2 into 1/2
1.416 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1
1.416 * [taylor]: Taking taylor expansion of phi1 in phi1
1.416 * [backup-simplify]: Simplify 0 into 0
1.416 * [backup-simplify]: Simplify 1 into 1
1.416 * [taylor]: Taking taylor expansion of phi2 in phi1
1.416 * [backup-simplify]: Simplify phi2 into phi2
1.416 * [backup-simplify]: Simplify (+ 0 phi2) into phi2
1.416 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2)
1.416 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
1.416 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
1.416 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
1.416 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0
1.417 * [backup-simplify]: Simplify (- 0) into 0
1.417 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
1.417 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
1.417 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2
1.417 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.417 * [backup-simplify]: Simplify 1/2 into 1/2
1.417 * [taylor]: Taking taylor expansion of phi2 in phi2
1.417 * [backup-simplify]: Simplify 0 into 0
1.417 * [backup-simplify]: Simplify 1 into 1
1.418 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.418 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.418 * [backup-simplify]: Simplify 1 into 1
1.419 * [backup-simplify]: Simplify (+ 0) into 0
1.419 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0
1.420 * [backup-simplify]: Simplify (+ 1 0) into 1
1.420 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2
1.421 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
1.422 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2)))
1.422 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2))))
1.422 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2))))
1.422 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (* 1/2 phi2)))) in phi2
1.422 * [taylor]: Taking taylor expansion of (* 1/2 (sin (* 1/2 phi2))) in phi2
1.422 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.422 * [backup-simplify]: Simplify 1/2 into 1/2
1.422 * [taylor]: Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
1.422 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2
1.422 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.422 * [backup-simplify]: Simplify 1/2 into 1/2
1.422 * [taylor]: Taking taylor expansion of phi2 in phi2
1.422 * [backup-simplify]: Simplify 0 into 0
1.422 * [backup-simplify]: Simplify 1 into 1
1.422 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.423 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.423 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.423 * [backup-simplify]: Simplify (- 0) into 0
1.423 * [backup-simplify]: Simplify 0 into 0
1.424 * [backup-simplify]: Simplify (+ 0) into 0
1.424 * [backup-simplify]: Simplify 0 into 0
1.424 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
1.425 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) -1/8) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos (* 1/2 phi2))))
1.425 * [backup-simplify]: Simplify (+ 0 0) into 0
1.425 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 phi2))) into 0
1.426 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.426 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 0) (+ (* 0 1/2) (* 0 0))) into 0
1.427 * [backup-simplify]: Simplify (- 0) into 0
1.427 * [backup-simplify]: Simplify (+ (- (* 1/8 (cos (* 1/2 phi2)))) 0) into (- (* 1/8 (cos (* 1/2 phi2))))
1.427 * [taylor]: Taking taylor expansion of (- (* 1/8 (cos (* 1/2 phi2)))) in phi2
1.427 * [taylor]: Taking taylor expansion of (* 1/8 (cos (* 1/2 phi2))) in phi2
1.427 * [taylor]: Taking taylor expansion of 1/8 in phi2
1.427 * [backup-simplify]: Simplify 1/8 into 1/8
1.427 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
1.427 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2
1.427 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.427 * [backup-simplify]: Simplify 1/2 into 1/2
1.427 * [taylor]: Taking taylor expansion of phi2 in phi2
1.427 * [backup-simplify]: Simplify 0 into 0
1.427 * [backup-simplify]: Simplify 1 into 1
1.427 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.427 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.428 * [backup-simplify]: Simplify (* 1/8 1) into 1/8
1.428 * [backup-simplify]: Simplify (- 1/8) into -1/8
1.428 * [backup-simplify]: Simplify -1/8 into -1/8
1.428 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
1.429 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 0 0)) into 1/4
1.429 * [backup-simplify]: Simplify (- 1/4) into -1/4
1.429 * [backup-simplify]: Simplify -1/4 into -1/4
1.429 * [backup-simplify]: Simplify (+ (* -1/4 (* phi2 phi1)) (+ (* -1/8 (pow (* 1 phi1) 2)) 1)) into (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2))))
1.429 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.429 * [approximate]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in (phi1 phi2) around 0
1.429 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
1.430 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
1.430 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.430 * [backup-simplify]: Simplify 1/2 into 1/2
1.430 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
1.430 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
1.430 * [taylor]: Taking taylor expansion of phi1 in phi2
1.430 * [backup-simplify]: Simplify phi1 into phi1
1.430 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.430 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
1.430 * [taylor]: Taking taylor expansion of phi2 in phi2
1.430 * [backup-simplify]: Simplify 0 into 0
1.430 * [backup-simplify]: Simplify 1 into 1
1.430 * [backup-simplify]: Simplify (/ 1 1) into 1
1.430 * [backup-simplify]: Simplify (+ 0 1) into 1
1.430 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.431 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.431 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
1.431 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
1.431 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.431 * [backup-simplify]: Simplify 1/2 into 1/2
1.431 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
1.431 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
1.431 * [taylor]: Taking taylor expansion of phi1 in phi1
1.431 * [backup-simplify]: Simplify 0 into 0
1.431 * [backup-simplify]: Simplify 1 into 1
1.431 * [backup-simplify]: Simplify (/ 1 1) into 1
1.431 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
1.431 * [taylor]: Taking taylor expansion of phi2 in phi1
1.431 * [backup-simplify]: Simplify phi2 into phi2
1.431 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.431 * [backup-simplify]: Simplify (+ 1 0) into 1
1.432 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.432 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.432 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
1.432 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
1.432 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.432 * [backup-simplify]: Simplify 1/2 into 1/2
1.432 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
1.432 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
1.432 * [taylor]: Taking taylor expansion of phi1 in phi1
1.432 * [backup-simplify]: Simplify 0 into 0
1.432 * [backup-simplify]: Simplify 1 into 1
1.432 * [backup-simplify]: Simplify (/ 1 1) into 1
1.432 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
1.432 * [taylor]: Taking taylor expansion of phi2 in phi1
1.432 * [backup-simplify]: Simplify phi2 into phi2
1.432 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.432 * [backup-simplify]: Simplify (+ 1 0) into 1
1.433 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.433 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.433 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
1.433 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
1.433 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.433 * [backup-simplify]: Simplify 1/2 into 1/2
1.433 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
1.433 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
1.433 * [taylor]: Taking taylor expansion of phi1 in phi2
1.433 * [backup-simplify]: Simplify phi1 into phi1
1.433 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.433 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
1.433 * [taylor]: Taking taylor expansion of phi2 in phi2
1.433 * [backup-simplify]: Simplify 0 into 0
1.433 * [backup-simplify]: Simplify 1 into 1
1.433 * [backup-simplify]: Simplify (/ 1 1) into 1
1.434 * [backup-simplify]: Simplify (+ 0 1) into 1
1.434 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.434 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.434 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.434 * [taylor]: Taking taylor expansion of 0 in phi2
1.434 * [backup-simplify]: Simplify 0 into 0
1.434 * [backup-simplify]: Simplify 0 into 0
1.434 * [backup-simplify]: Simplify 0 into 0
1.434 * [taylor]: Taking taylor expansion of 0 in phi2
1.434 * [backup-simplify]: Simplify 0 into 0
1.434 * [backup-simplify]: Simplify 0 into 0
1.434 * [backup-simplify]: Simplify 0 into 0
1.434 * [backup-simplify]: Simplify 0 into 0
1.434 * [taylor]: Taking taylor expansion of 0 in phi2
1.434 * [backup-simplify]: Simplify 0 into 0
1.434 * [backup-simplify]: Simplify 0 into 0
1.434 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) into (cos (* 1/2 (+ phi1 phi2)))
1.435 * [backup-simplify]: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.435 * [approximate]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in (phi1 phi2) around 0
1.435 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
1.435 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
1.435 * [taylor]: Taking taylor expansion of -1/2 in phi2
1.435 * [backup-simplify]: Simplify -1/2 into -1/2
1.435 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
1.435 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
1.435 * [taylor]: Taking taylor expansion of phi1 in phi2
1.435 * [backup-simplify]: Simplify phi1 into phi1
1.435 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.435 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
1.435 * [taylor]: Taking taylor expansion of phi2 in phi2
1.435 * [backup-simplify]: Simplify 0 into 0
1.435 * [backup-simplify]: Simplify 1 into 1
1.435 * [backup-simplify]: Simplify (/ 1 1) into 1
1.435 * [backup-simplify]: Simplify (+ 0 1) into 1
1.436 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
1.436 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.436 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
1.436 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
1.436 * [taylor]: Taking taylor expansion of -1/2 in phi1
1.436 * [backup-simplify]: Simplify -1/2 into -1/2
1.436 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
1.436 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
1.436 * [taylor]: Taking taylor expansion of phi1 in phi1
1.436 * [backup-simplify]: Simplify 0 into 0
1.436 * [backup-simplify]: Simplify 1 into 1
1.436 * [backup-simplify]: Simplify (/ 1 1) into 1
1.436 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
1.436 * [taylor]: Taking taylor expansion of phi2 in phi1
1.436 * [backup-simplify]: Simplify phi2 into phi2
1.436 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.436 * [backup-simplify]: Simplify (+ 1 0) into 1
1.437 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
1.437 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.437 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
1.437 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
1.437 * [taylor]: Taking taylor expansion of -1/2 in phi1
1.437 * [backup-simplify]: Simplify -1/2 into -1/2
1.437 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
1.437 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
1.437 * [taylor]: Taking taylor expansion of phi1 in phi1
1.437 * [backup-simplify]: Simplify 0 into 0
1.437 * [backup-simplify]: Simplify 1 into 1
1.437 * [backup-simplify]: Simplify (/ 1 1) into 1
1.437 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
1.437 * [taylor]: Taking taylor expansion of phi2 in phi1
1.437 * [backup-simplify]: Simplify phi2 into phi2
1.437 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.438 * [backup-simplify]: Simplify (+ 1 0) into 1
1.438 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
1.438 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.438 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
1.438 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
1.438 * [taylor]: Taking taylor expansion of -1/2 in phi2
1.438 * [backup-simplify]: Simplify -1/2 into -1/2
1.438 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
1.438 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
1.438 * [taylor]: Taking taylor expansion of phi1 in phi2
1.438 * [backup-simplify]: Simplify phi1 into phi1
1.438 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.438 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
1.438 * [taylor]: Taking taylor expansion of phi2 in phi2
1.438 * [backup-simplify]: Simplify 0 into 0
1.438 * [backup-simplify]: Simplify 1 into 1
1.438 * [backup-simplify]: Simplify (/ 1 1) into 1
1.439 * [backup-simplify]: Simplify (+ 0 1) into 1
1.439 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
1.439 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.439 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.439 * [taylor]: Taking taylor expansion of 0 in phi2
1.439 * [backup-simplify]: Simplify 0 into 0
1.439 * [backup-simplify]: Simplify 0 into 0
1.439 * [backup-simplify]: Simplify 0 into 0
1.439 * [taylor]: Taking taylor expansion of 0 in phi2
1.439 * [backup-simplify]: Simplify 0 into 0
1.439 * [backup-simplify]: Simplify 0 into 0
1.439 * [backup-simplify]: Simplify 0 into 0
1.439 * [backup-simplify]: Simplify 0 into 0
1.439 * [taylor]: Taking taylor expansion of 0 in phi2
1.439 * [backup-simplify]: Simplify 0 into 0
1.439 * [backup-simplify]: Simplify 0 into 0
1.440 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) into (cos (* 1/2 (+ phi1 phi2)))
1.440 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1)
1.440 * [backup-simplify]: Simplify (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) into (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))
1.440 * [approximate]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in (lambda1 lambda2 phi1 phi2) around 0
1.440 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2
1.440 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2
1.440 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2
1.440 * [taylor]: Taking taylor expansion of lambda1 in phi2
1.440 * [backup-simplify]: Simplify lambda1 into lambda1
1.440 * [taylor]: Taking taylor expansion of lambda2 in phi2
1.440 * [backup-simplify]: Simplify lambda2 into lambda2
1.440 * [backup-simplify]: Simplify (- lambda2) into (- lambda2)
1.440 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
1.440 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2
1.440 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2
1.440 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2
1.440 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.440 * [backup-simplify]: Simplify 1/2 into 1/2
1.440 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2
1.440 * [taylor]: Taking taylor expansion of phi1 in phi2
1.440 * [backup-simplify]: Simplify phi1 into phi1
1.440 * [taylor]: Taking taylor expansion of phi2 in phi2
1.440 * [backup-simplify]: Simplify 0 into 0
1.440 * [backup-simplify]: Simplify 1 into 1
1.440 * [backup-simplify]: Simplify (+ phi1 0) into phi1
1.440 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1)
1.440 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
1.440 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
1.440 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1))
1.440 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0
1.441 * [backup-simplify]: Simplify (- 0) into 0
1.441 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1))
1.441 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1
1.441 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi1
1.441 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi1
1.441 * [taylor]: Taking taylor expansion of lambda1 in phi1
1.441 * [backup-simplify]: Simplify lambda1 into lambda1
1.441 * [taylor]: Taking taylor expansion of lambda2 in phi1
1.441 * [backup-simplify]: Simplify lambda2 into lambda2
1.441 * [backup-simplify]: Simplify (- lambda2) into (- lambda2)
1.441 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
1.441 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1
1.441 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1
1.441 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1
1.441 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.441 * [backup-simplify]: Simplify 1/2 into 1/2
1.441 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1
1.441 * [taylor]: Taking taylor expansion of phi1 in phi1
1.441 * [backup-simplify]: Simplify 0 into 0
1.441 * [backup-simplify]: Simplify 1 into 1
1.441 * [taylor]: Taking taylor expansion of phi2 in phi1
1.441 * [backup-simplify]: Simplify phi2 into phi2
1.441 * [backup-simplify]: Simplify (+ 0 phi2) into phi2
1.441 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2)
1.441 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
1.441 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
1.441 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
1.441 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0
1.442 * [backup-simplify]: Simplify (- 0) into 0
1.442 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
1.442 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2
1.442 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda2
1.442 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2
1.442 * [taylor]: Taking taylor expansion of lambda1 in lambda2
1.442 * [backup-simplify]: Simplify lambda1 into lambda1
1.442 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.442 * [backup-simplify]: Simplify 0 into 0
1.442 * [backup-simplify]: Simplify 1 into 1
1.442 * [backup-simplify]: Simplify (- 0) into 0
1.442 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1
1.442 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
1.442 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
1.442 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
1.442 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.442 * [backup-simplify]: Simplify 1/2 into 1/2
1.442 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2
1.442 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.442 * [backup-simplify]: Simplify phi1 into phi1
1.442 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.442 * [backup-simplify]: Simplify phi2 into phi2
1.442 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
1.442 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
1.442 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
1.442 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
1.442 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
1.443 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
1.443 * [backup-simplify]: Simplify (- 0) into 0
1.443 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
1.443 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1
1.443 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1
1.443 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1
1.443 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.443 * [backup-simplify]: Simplify 0 into 0
1.443 * [backup-simplify]: Simplify 1 into 1
1.443 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.443 * [backup-simplify]: Simplify lambda2 into lambda2
1.443 * [backup-simplify]: Simplify (- lambda2) into (- lambda2)
1.443 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2)
1.443 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1
1.443 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1
1.443 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1
1.443 * [taylor]: Taking taylor expansion of 1/2 in lambda1
1.443 * [backup-simplify]: Simplify 1/2 into 1/2
1.443 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1
1.443 * [taylor]: Taking taylor expansion of phi1 in lambda1
1.443 * [backup-simplify]: Simplify phi1 into phi1
1.443 * [taylor]: Taking taylor expansion of phi2 in lambda1
1.443 * [backup-simplify]: Simplify phi2 into phi2
1.443 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
1.443 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
1.443 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
1.443 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
1.443 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
1.444 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
1.444 * [backup-simplify]: Simplify (- 0) into 0
1.444 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
1.444 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1
1.444 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1
1.444 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1
1.444 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.444 * [backup-simplify]: Simplify 0 into 0
1.444 * [backup-simplify]: Simplify 1 into 1
1.444 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.444 * [backup-simplify]: Simplify lambda2 into lambda2
1.444 * [backup-simplify]: Simplify (- lambda2) into (- lambda2)
1.444 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2)
1.444 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1
1.444 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1
1.444 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1
1.444 * [taylor]: Taking taylor expansion of 1/2 in lambda1
1.444 * [backup-simplify]: Simplify 1/2 into 1/2
1.444 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1
1.444 * [taylor]: Taking taylor expansion of phi1 in lambda1
1.444 * [backup-simplify]: Simplify phi1 into phi1
1.444 * [taylor]: Taking taylor expansion of phi2 in lambda1
1.444 * [backup-simplify]: Simplify phi2 into phi2
1.444 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
1.444 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
1.444 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
1.444 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
1.444 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
1.444 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
1.445 * [backup-simplify]: Simplify (- 0) into 0
1.445 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
1.445 * [backup-simplify]: Simplify (* (- lambda2) (- lambda2)) into (pow lambda2 2)
1.445 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
1.445 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))
1.445 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2
1.445 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2
1.445 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.445 * [backup-simplify]: Simplify 0 into 0
1.445 * [backup-simplify]: Simplify 1 into 1
1.445 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
1.445 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
1.445 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
1.445 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.445 * [backup-simplify]: Simplify 1/2 into 1/2
1.445 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2
1.445 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.445 * [backup-simplify]: Simplify phi1 into phi1
1.445 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.445 * [backup-simplify]: Simplify phi2 into phi2
1.445 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
1.445 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
1.445 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
1.446 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
1.446 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
1.446 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
1.446 * [backup-simplify]: Simplify (- 0) into 0
1.446 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
1.446 * [backup-simplify]: Simplify (+ 0) into 0
1.447 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
1.447 * [backup-simplify]: Simplify (+ 0 0) into 0
1.447 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0
1.448 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.448 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
1.448 * [backup-simplify]: Simplify (- 0) into 0
1.448 * [backup-simplify]: Simplify (+ 0 0) into 0
1.449 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0
1.449 * [backup-simplify]: Simplify (- 0) into 0
1.449 * [backup-simplify]: Simplify (+ 1 0) into 1
1.449 * [backup-simplify]: Simplify (+ (* (- lambda2) 1) (* 1 (- lambda2))) into (- (* 2 lambda2))
1.449 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (* (- (* 2 lambda2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
1.449 * [taylor]: Taking taylor expansion of (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda2
1.449 * [taylor]: Taking taylor expansion of (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda2
1.449 * [taylor]: Taking taylor expansion of 2 in lambda2
1.449 * [backup-simplify]: Simplify 2 into 2
1.449 * [taylor]: Taking taylor expansion of (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2
1.449 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.449 * [backup-simplify]: Simplify 0 into 0
1.449 * [backup-simplify]: Simplify 1 into 1
1.449 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
1.449 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
1.449 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
1.450 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.450 * [backup-simplify]: Simplify 1/2 into 1/2
1.450 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2
1.450 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.450 * [backup-simplify]: Simplify phi1 into phi1
1.450 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.450 * [backup-simplify]: Simplify phi2 into phi2
1.450 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
1.450 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
1.450 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
1.450 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
1.450 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
1.450 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
1.450 * [backup-simplify]: Simplify (- 0) into 0
1.450 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
1.450 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
1.450 * [backup-simplify]: Simplify (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into 0
1.451 * [backup-simplify]: Simplify (* 2 0) into 0
1.451 * [backup-simplify]: Simplify (- 0) into 0
1.451 * [taylor]: Taking taylor expansion of 0 in phi1
1.451 * [backup-simplify]: Simplify 0 into 0
1.451 * [taylor]: Taking taylor expansion of 0 in phi2
1.451 * [backup-simplify]: Simplify 0 into 0
1.451 * [backup-simplify]: Simplify 0 into 0
1.452 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.452 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0
1.452 * [backup-simplify]: Simplify (+ 0 0) into 0
1.453 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0
1.453 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.454 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0
1.454 * [backup-simplify]: Simplify (- 0) into 0
1.454 * [backup-simplify]: Simplify (+ 0 0) into 0
1.454 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0
1.455 * [backup-simplify]: Simplify (- 0) into 0
1.455 * [backup-simplify]: Simplify (+ 0 0) into 0
1.455 * [backup-simplify]: Simplify (+ (* (- lambda2) 0) (+ (* 1 1) (* 0 (- lambda2)))) into 1
1.455 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (+ (* (- (* 2 lambda2)) 0) (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
1.456 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
1.456 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
1.456 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
1.456 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.456 * [backup-simplify]: Simplify 1/2 into 1/2
1.456 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2
1.456 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.456 * [backup-simplify]: Simplify phi1 into phi1
1.456 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.456 * [backup-simplify]: Simplify phi2 into phi2
1.456 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
1.456 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
1.456 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
1.456 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
1.456 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
1.456 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
1.456 * [backup-simplify]: Simplify (- 0) into 0
1.456 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
1.456 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
1.456 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1
1.456 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1
1.456 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1
1.456 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.456 * [backup-simplify]: Simplify 1/2 into 1/2
1.457 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1
1.457 * [taylor]: Taking taylor expansion of phi1 in phi1
1.457 * [backup-simplify]: Simplify 0 into 0
1.457 * [backup-simplify]: Simplify 1 into 1
1.457 * [taylor]: Taking taylor expansion of phi2 in phi1
1.457 * [backup-simplify]: Simplify phi2 into phi2
1.457 * [backup-simplify]: Simplify (+ 0 phi2) into phi2
1.457 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2)
1.457 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
1.457 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
1.457 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
1.457 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0
1.457 * [backup-simplify]: Simplify (- 0) into 0
1.457 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
1.457 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2)
1.457 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
1.457 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
1.457 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2
1.457 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.457 * [backup-simplify]: Simplify 1/2 into 1/2
1.457 * [taylor]: Taking taylor expansion of phi2 in phi2
1.457 * [backup-simplify]: Simplify 0 into 0
1.457 * [backup-simplify]: Simplify 1 into 1
1.458 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.458 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.459 * [backup-simplify]: Simplify (* 1 1) into 1
1.459 * [backup-simplify]: Simplify 1 into 1
1.459 * [backup-simplify]: Simplify (+ 0) into 0
1.460 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
1.460 * [backup-simplify]: Simplify (+ 0 0) into 0
1.461 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0
1.461 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.462 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
1.462 * [backup-simplify]: Simplify (- 0) into 0
1.463 * [backup-simplify]: Simplify (+ 0 0) into 0
1.463 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0
1.463 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
1.464 * [backup-simplify]: Simplify (+ (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 0 0)) into (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))
1.464 * [backup-simplify]: Simplify (- (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
1.464 * [taylor]: Taking taylor expansion of (- (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in phi1
1.464 * [taylor]: Taking taylor expansion of (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1
1.464 * [taylor]: Taking taylor expansion of 2 in phi1
1.464 * [backup-simplify]: Simplify 2 into 2
1.464 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1
1.464 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1
1.464 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1
1.464 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.464 * [backup-simplify]: Simplify 1/2 into 1/2
1.464 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1
1.464 * [taylor]: Taking taylor expansion of phi1 in phi1
1.464 * [backup-simplify]: Simplify 0 into 0
1.464 * [backup-simplify]: Simplify 1 into 1
1.464 * [taylor]: Taking taylor expansion of phi2 in phi1
1.464 * [backup-simplify]: Simplify phi2 into phi2
1.464 * [backup-simplify]: Simplify (+ 0 phi2) into phi2
1.465 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2)
1.465 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
1.465 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
1.465 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
1.465 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0
1.465 * [backup-simplify]: Simplify (- 0) into 0
1.465 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
1.465 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2)
1.466 * [backup-simplify]: Simplify (* 2 (pow (cos (* 1/2 phi2)) 2)) into (* 2 (pow (cos (* 1/2 phi2)) 2))
1.466 * [backup-simplify]: Simplify (- (* 2 (pow (cos (* 1/2 phi2)) 2))) into (- (* 2 (pow (cos (* 1/2 phi2)) 2)))
1.466 * [taylor]: Taking taylor expansion of (- (* 2 (pow (cos (* 1/2 phi2)) 2))) in phi2
1.466 * [taylor]: Taking taylor expansion of (* 2 (pow (cos (* 1/2 phi2)) 2)) in phi2
1.466 * [taylor]: Taking taylor expansion of 2 in phi2
1.466 * [backup-simplify]: Simplify 2 into 2
1.466 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
1.466 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
1.466 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2
1.466 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.466 * [backup-simplify]: Simplify 1/2 into 1/2
1.466 * [taylor]: Taking taylor expansion of phi2 in phi2
1.466 * [backup-simplify]: Simplify 0 into 0
1.466 * [backup-simplify]: Simplify 1 into 1
1.467 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.467 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.468 * [backup-simplify]: Simplify (* 1 1) into 1
1.468 * [backup-simplify]: Simplify (* 2 1) into 2
1.469 * [backup-simplify]: Simplify (- 2) into -2
1.469 * [backup-simplify]: Simplify -2 into -2
1.469 * [backup-simplify]: Simplify (* 1 1) into 1
1.469 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
1.469 * [backup-simplify]: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
1.469 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1
1.469 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1
1.469 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1
1.469 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.469 * [backup-simplify]: Simplify 1/2 into 1/2
1.469 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1
1.469 * [taylor]: Taking taylor expansion of phi1 in phi1
1.469 * [backup-simplify]: Simplify 0 into 0
1.470 * [backup-simplify]: Simplify 1 into 1
1.470 * [taylor]: Taking taylor expansion of phi2 in phi1
1.470 * [backup-simplify]: Simplify phi2 into phi2
1.470 * [backup-simplify]: Simplify (+ 0 phi2) into phi2
1.470 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2)
1.470 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
1.470 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
1.470 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
1.470 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0
1.470 * [backup-simplify]: Simplify (- 0) into 0
1.470 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
1.471 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2)
1.471 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
1.471 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
1.471 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2
1.471 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.471 * [backup-simplify]: Simplify 1/2 into 1/2
1.471 * [taylor]: Taking taylor expansion of phi2 in phi2
1.471 * [backup-simplify]: Simplify 0 into 0
1.471 * [backup-simplify]: Simplify 1 into 1
1.471 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.472 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.472 * [backup-simplify]: Simplify (* 1 1) into 1
1.472 * [backup-simplify]: Simplify 1 into 1
1.473 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (* lambda2 1))) 2)) (+ (* -2 (* 1 (* 1 (* lambda2 lambda1)))) (* 1 (pow (* 1 (* 1 (* 1 lambda1))) 2)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
1.473 * [backup-simplify]: Simplify (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))
1.473 * [approximate]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in (lambda1 lambda2 phi1 phi2) around 0
1.473 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in phi2
1.473 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
1.473 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
1.473 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
1.473 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.474 * [backup-simplify]: Simplify 1/2 into 1/2
1.474 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
1.474 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
1.474 * [taylor]: Taking taylor expansion of phi1 in phi2
1.474 * [backup-simplify]: Simplify phi1 into phi1
1.474 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.474 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
1.474 * [taylor]: Taking taylor expansion of phi2 in phi2
1.474 * [backup-simplify]: Simplify 0 into 0
1.474 * [backup-simplify]: Simplify 1 into 1
1.474 * [backup-simplify]: Simplify (/ 1 1) into 1
1.475 * [backup-simplify]: Simplify (+ 0 1) into 1
1.476 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.476 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.476 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in phi2
1.477 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2
1.477 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2
1.477 * [taylor]: Taking taylor expansion of lambda1 in phi2
1.477 * [backup-simplify]: Simplify lambda1 into lambda1
1.477 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
1.477 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2
1.477 * [taylor]: Taking taylor expansion of lambda2 in phi2
1.477 * [backup-simplify]: Simplify lambda2 into lambda2
1.477 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
1.477 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
1.477 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
1.477 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in phi1
1.477 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
1.477 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
1.477 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
1.477 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.477 * [backup-simplify]: Simplify 1/2 into 1/2
1.477 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
1.477 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
1.477 * [taylor]: Taking taylor expansion of phi1 in phi1
1.477 * [backup-simplify]: Simplify 0 into 0
1.477 * [backup-simplify]: Simplify 1 into 1
1.478 * [backup-simplify]: Simplify (/ 1 1) into 1
1.478 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
1.478 * [taylor]: Taking taylor expansion of phi2 in phi1
1.478 * [backup-simplify]: Simplify phi2 into phi2
1.478 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.479 * [backup-simplify]: Simplify (+ 1 0) into 1
1.479 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.479 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.479 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in phi1
1.479 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1
1.479 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1
1.479 * [taylor]: Taking taylor expansion of lambda1 in phi1
1.479 * [backup-simplify]: Simplify lambda1 into lambda1
1.479 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
1.479 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1
1.479 * [taylor]: Taking taylor expansion of lambda2 in phi1
1.480 * [backup-simplify]: Simplify lambda2 into lambda2
1.480 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
1.480 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
1.480 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
1.480 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda2
1.480 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
1.480 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
1.480 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
1.480 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.480 * [backup-simplify]: Simplify 1/2 into 1/2
1.480 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
1.480 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
1.480 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.480 * [backup-simplify]: Simplify phi1 into phi1
1.480 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.480 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
1.480 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.480 * [backup-simplify]: Simplify phi2 into phi2
1.480 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.480 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
1.480 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
1.481 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.481 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.481 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.481 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.482 * [backup-simplify]: Simplify (- 0) into 0
1.482 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.482 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda2
1.482 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
1.482 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
1.482 * [taylor]: Taking taylor expansion of lambda1 in lambda2
1.482 * [backup-simplify]: Simplify lambda1 into lambda1
1.482 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
1.482 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
1.482 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.482 * [backup-simplify]: Simplify 0 into 0
1.482 * [backup-simplify]: Simplify 1 into 1
1.483 * [backup-simplify]: Simplify (/ 1 1) into 1
1.483 * [backup-simplify]: Simplify (- 1) into -1
1.484 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.484 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1
1.484 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
1.484 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
1.484 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
1.484 * [taylor]: Taking taylor expansion of 1/2 in lambda1
1.484 * [backup-simplify]: Simplify 1/2 into 1/2
1.484 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
1.484 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
1.484 * [taylor]: Taking taylor expansion of phi1 in lambda1
1.484 * [backup-simplify]: Simplify phi1 into phi1
1.484 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.484 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
1.484 * [taylor]: Taking taylor expansion of phi2 in lambda1
1.484 * [backup-simplify]: Simplify phi2 into phi2
1.484 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.484 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
1.484 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
1.485 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.485 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.485 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.485 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.486 * [backup-simplify]: Simplify (- 0) into 0
1.486 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.486 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda1
1.486 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
1.486 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
1.486 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.486 * [backup-simplify]: Simplify 0 into 0
1.486 * [backup-simplify]: Simplify 1 into 1
1.486 * [backup-simplify]: Simplify (/ 1 1) into 1
1.486 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
1.486 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.486 * [backup-simplify]: Simplify lambda2 into lambda2
1.487 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
1.487 * [backup-simplify]: Simplify (+ 1 0) into 1
1.487 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1
1.487 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
1.487 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
1.487 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
1.487 * [taylor]: Taking taylor expansion of 1/2 in lambda1
1.487 * [backup-simplify]: Simplify 1/2 into 1/2
1.487 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
1.487 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
1.487 * [taylor]: Taking taylor expansion of phi1 in lambda1
1.487 * [backup-simplify]: Simplify phi1 into phi1
1.487 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.487 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
1.487 * [taylor]: Taking taylor expansion of phi2 in lambda1
1.487 * [backup-simplify]: Simplify phi2 into phi2
1.487 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.488 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
1.488 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
1.488 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.488 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.488 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.488 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.489 * [backup-simplify]: Simplify (- 0) into 0
1.489 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.489 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda1
1.489 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
1.489 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
1.489 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.489 * [backup-simplify]: Simplify 0 into 0
1.489 * [backup-simplify]: Simplify 1 into 1
1.490 * [backup-simplify]: Simplify (/ 1 1) into 1
1.490 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
1.490 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.490 * [backup-simplify]: Simplify lambda2 into lambda2
1.490 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
1.490 * [backup-simplify]: Simplify (+ 1 0) into 1
1.491 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.491 * [backup-simplify]: Simplify (* 1 1) into 1
1.491 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.491 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
1.491 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
1.491 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
1.492 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.492 * [backup-simplify]: Simplify 1/2 into 1/2
1.492 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
1.492 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
1.492 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.492 * [backup-simplify]: Simplify phi1 into phi1
1.492 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.492 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
1.492 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.492 * [backup-simplify]: Simplify phi2 into phi2
1.492 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.492 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
1.492 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
1.492 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.492 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.493 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.493 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.493 * [backup-simplify]: Simplify (- 0) into 0
1.494 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.494 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
1.494 * [backup-simplify]: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2))
1.494 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 lambda2))) (* (- (/ 1 lambda2)) 1)) into (- (* 2 (/ 1 lambda2)))
1.495 * [backup-simplify]: Simplify (+ 0) into 0
1.495 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
1.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
1.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
1.495 * [backup-simplify]: Simplify (+ 0 0) into 0
1.496 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
1.496 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.497 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
1.497 * [backup-simplify]: Simplify (- 0) into 0
1.497 * [backup-simplify]: Simplify (+ 0 0) into 0
1.497 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
1.498 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (- (* 2 (/ 1 lambda2)))) (* 0 1)) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
1.498 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) in lambda2
1.498 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) in lambda2
1.498 * [taylor]: Taking taylor expansion of 2 in lambda2
1.498 * [backup-simplify]: Simplify 2 into 2
1.498 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) in lambda2
1.498 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
1.498 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
1.498 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
1.498 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.498 * [backup-simplify]: Simplify 1/2 into 1/2
1.498 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
1.498 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
1.498 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.498 * [backup-simplify]: Simplify phi1 into phi1
1.498 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.498 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
1.498 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.498 * [backup-simplify]: Simplify phi2 into phi2
1.498 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.498 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
1.499 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
1.499 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.499 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.499 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.499 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.499 * [backup-simplify]: Simplify (- 0) into 0
1.499 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.499 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.499 * [backup-simplify]: Simplify 0 into 0
1.499 * [backup-simplify]: Simplify 1 into 1
1.499 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.500 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
1.505 * [backup-simplify]: Simplify (- 0) into 0
1.505 * [backup-simplify]: Simplify (+ 0 0) into 0
1.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) (- (/ 1 lambda2))) (* 0 1))) into (/ 1 (pow lambda2 2))
1.507 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.507 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
1.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
1.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
1.508 * [backup-simplify]: Simplify (+ 0 0) into 0
1.508 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
1.509 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.509 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
1.510 * [backup-simplify]: Simplify (- 0) into 0
1.510 * [backup-simplify]: Simplify (+ 0 0) into 0
1.510 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
1.511 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 1 (pow lambda2 2))) (+ (* 0 (- (* 2 (/ 1 lambda2)))) (* 0 1))) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
1.511 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2
1.511 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
1.511 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
1.511 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
1.511 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.511 * [backup-simplify]: Simplify 1/2 into 1/2
1.511 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
1.511 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
1.511 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.511 * [backup-simplify]: Simplify phi1 into phi1
1.511 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.511 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
1.511 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.511 * [backup-simplify]: Simplify phi2 into phi2
1.511 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.511 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
1.511 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
1.511 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.512 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.512 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.512 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.512 * [backup-simplify]: Simplify (- 0) into 0
1.512 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.512 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2
1.512 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.512 * [backup-simplify]: Simplify 0 into 0
1.512 * [backup-simplify]: Simplify 1 into 1
1.512 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.513 * [backup-simplify]: Simplify (* 1 1) into 1
1.513 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.513 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
1.513 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
1.513 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
1.513 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.513 * [backup-simplify]: Simplify 1/2 into 1/2
1.513 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
1.513 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
1.513 * [taylor]: Taking taylor expansion of phi1 in phi1
1.513 * [backup-simplify]: Simplify 0 into 0
1.513 * [backup-simplify]: Simplify 1 into 1
1.513 * [backup-simplify]: Simplify (/ 1 1) into 1
1.513 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
1.513 * [taylor]: Taking taylor expansion of phi2 in phi1
1.513 * [backup-simplify]: Simplify phi2 into phi2
1.513 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.513 * [backup-simplify]: Simplify (+ 1 0) into 1
1.514 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.514 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.514 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.514 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
1.514 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
1.514 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
1.514 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.514 * [backup-simplify]: Simplify 1/2 into 1/2
1.514 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
1.514 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
1.514 * [taylor]: Taking taylor expansion of phi1 in phi2
1.514 * [backup-simplify]: Simplify phi1 into phi1
1.514 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.514 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
1.514 * [taylor]: Taking taylor expansion of phi2 in phi2
1.514 * [backup-simplify]: Simplify 0 into 0
1.514 * [backup-simplify]: Simplify 1 into 1
1.515 * [backup-simplify]: Simplify (/ 1 1) into 1
1.515 * [backup-simplify]: Simplify (+ 0 1) into 1
1.515 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.515 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.515 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.515 * [backup-simplify]: Simplify (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.516 * [backup-simplify]: Simplify (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
1.516 * [backup-simplify]: Simplify (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))
1.516 * [taylor]: Taking taylor expansion of (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) in phi1
1.516 * [taylor]: Taking taylor expansion of (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1
1.516 * [taylor]: Taking taylor expansion of 2 in phi1
1.516 * [backup-simplify]: Simplify 2 into 2
1.516 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
1.516 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
1.516 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
1.516 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.516 * [backup-simplify]: Simplify 1/2 into 1/2
1.516 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
1.516 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
1.516 * [taylor]: Taking taylor expansion of phi1 in phi1
1.516 * [backup-simplify]: Simplify 0 into 0
1.516 * [backup-simplify]: Simplify 1 into 1
1.516 * [backup-simplify]: Simplify (/ 1 1) into 1
1.516 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
1.516 * [taylor]: Taking taylor expansion of phi2 in phi1
1.516 * [backup-simplify]: Simplify phi2 into phi2
1.516 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.517 * [backup-simplify]: Simplify (+ 1 0) into 1
1.517 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.517 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.517 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.517 * [backup-simplify]: Simplify (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
1.517 * [backup-simplify]: Simplify (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))
1.517 * [taylor]: Taking taylor expansion of (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) in phi2
1.517 * [taylor]: Taking taylor expansion of (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2
1.517 * [taylor]: Taking taylor expansion of 2 in phi2
1.518 * [backup-simplify]: Simplify 2 into 2
1.518 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
1.518 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
1.518 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
1.518 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.518 * [backup-simplify]: Simplify 1/2 into 1/2
1.518 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
1.518 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
1.518 * [taylor]: Taking taylor expansion of phi1 in phi2
1.518 * [backup-simplify]: Simplify phi1 into phi1
1.518 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.518 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
1.518 * [taylor]: Taking taylor expansion of phi2 in phi2
1.518 * [backup-simplify]: Simplify 0 into 0
1.518 * [backup-simplify]: Simplify 1 into 1
1.518 * [backup-simplify]: Simplify (/ 1 1) into 1
1.518 * [backup-simplify]: Simplify (+ 0 1) into 1
1.519 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.519 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.519 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.519 * [backup-simplify]: Simplify (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
1.519 * [backup-simplify]: Simplify (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))
1.519 * [backup-simplify]: Simplify (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))
1.519 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.519 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
1.519 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
1.519 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
1.519 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.520 * [backup-simplify]: Simplify 1/2 into 1/2
1.520 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
1.520 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
1.520 * [taylor]: Taking taylor expansion of phi1 in phi1
1.520 * [backup-simplify]: Simplify 0 into 0
1.520 * [backup-simplify]: Simplify 1 into 1
1.520 * [backup-simplify]: Simplify (/ 1 1) into 1
1.520 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
1.520 * [taylor]: Taking taylor expansion of phi2 in phi1
1.520 * [backup-simplify]: Simplify phi2 into phi2
1.520 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.520 * [backup-simplify]: Simplify (+ 1 0) into 1
1.520 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.521 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.521 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.521 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
1.521 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
1.521 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
1.521 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.521 * [backup-simplify]: Simplify 1/2 into 1/2
1.521 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
1.521 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
1.521 * [taylor]: Taking taylor expansion of phi1 in phi2
1.521 * [backup-simplify]: Simplify phi1 into phi1
1.521 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.521 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
1.521 * [taylor]: Taking taylor expansion of phi2 in phi2
1.521 * [backup-simplify]: Simplify 0 into 0
1.521 * [backup-simplify]: Simplify 1 into 1
1.521 * [backup-simplify]: Simplify (/ 1 1) into 1
1.522 * [backup-simplify]: Simplify (+ 0 1) into 1
1.522 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.522 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.522 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.522 * [backup-simplify]: Simplify (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.523 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) 2) (pow (* 1 (* 1 (* 1 (/ 1 (/ 1 lambda1))))) 2)) (+ (* (- (* 2 (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) 2))) (* 1 (* 1 (* (/ 1 (/ 1 lambda2)) (/ 1 (/ 1 lambda1)))))) (* (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) 2) (pow (* 1 (* 1 (* (/ 1 (/ 1 lambda2)) 1))) 2)))) into (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))))
1.523 * [backup-simplify]: Simplify (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))
1.523 * [approximate]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in (lambda1 lambda2 phi1 phi2) around 0
1.523 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in phi2
1.523 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
1.523 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
1.523 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
1.523 * [taylor]: Taking taylor expansion of -1/2 in phi2
1.523 * [backup-simplify]: Simplify -1/2 into -1/2
1.523 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
1.523 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
1.524 * [taylor]: Taking taylor expansion of phi1 in phi2
1.524 * [backup-simplify]: Simplify phi1 into phi1
1.524 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.524 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
1.524 * [taylor]: Taking taylor expansion of phi2 in phi2
1.524 * [backup-simplify]: Simplify 0 into 0
1.524 * [backup-simplify]: Simplify 1 into 1
1.524 * [backup-simplify]: Simplify (/ 1 1) into 1
1.524 * [backup-simplify]: Simplify (+ 0 1) into 1
1.524 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
1.525 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.525 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in phi2
1.525 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2
1.525 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2
1.525 * [taylor]: Taking taylor expansion of lambda2 in phi2
1.525 * [backup-simplify]: Simplify lambda2 into lambda2
1.525 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
1.525 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2
1.525 * [taylor]: Taking taylor expansion of lambda1 in phi2
1.525 * [backup-simplify]: Simplify lambda1 into lambda1
1.525 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
1.525 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1))
1.525 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1))
1.525 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in phi1
1.525 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
1.525 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
1.525 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
1.525 * [taylor]: Taking taylor expansion of -1/2 in phi1
1.525 * [backup-simplify]: Simplify -1/2 into -1/2
1.525 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
1.525 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
1.525 * [taylor]: Taking taylor expansion of phi1 in phi1
1.525 * [backup-simplify]: Simplify 0 into 0
1.525 * [backup-simplify]: Simplify 1 into 1
1.525 * [backup-simplify]: Simplify (/ 1 1) into 1
1.525 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
1.525 * [taylor]: Taking taylor expansion of phi2 in phi1
1.525 * [backup-simplify]: Simplify phi2 into phi2
1.525 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.526 * [backup-simplify]: Simplify (+ 1 0) into 1
1.526 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
1.526 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.526 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in phi1
1.526 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1
1.526 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1
1.526 * [taylor]: Taking taylor expansion of lambda2 in phi1
1.526 * [backup-simplify]: Simplify lambda2 into lambda2
1.526 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
1.526 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1
1.526 * [taylor]: Taking taylor expansion of lambda1 in phi1
1.526 * [backup-simplify]: Simplify lambda1 into lambda1
1.526 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
1.526 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1))
1.526 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1))
1.526 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda2
1.526 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
1.526 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
1.526 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
1.526 * [taylor]: Taking taylor expansion of -1/2 in lambda2
1.526 * [backup-simplify]: Simplify -1/2 into -1/2
1.527 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
1.527 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
1.527 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.527 * [backup-simplify]: Simplify phi1 into phi1
1.527 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.527 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
1.527 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.527 * [backup-simplify]: Simplify phi2 into phi2
1.527 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.527 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
1.527 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
1.527 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.527 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.527 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.527 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.527 * [backup-simplify]: Simplify (- 0) into 0
1.527 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.528 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda2
1.528 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2
1.528 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
1.528 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.528 * [backup-simplify]: Simplify 0 into 0
1.528 * [backup-simplify]: Simplify 1 into 1
1.528 * [backup-simplify]: Simplify (/ 1 1) into 1
1.528 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
1.528 * [taylor]: Taking taylor expansion of lambda1 in lambda2
1.528 * [backup-simplify]: Simplify lambda1 into lambda1
1.528 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
1.528 * [backup-simplify]: Simplify (+ 1 0) into 1
1.528 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda1
1.528 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
1.528 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
1.528 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
1.528 * [taylor]: Taking taylor expansion of -1/2 in lambda1
1.528 * [backup-simplify]: Simplify -1/2 into -1/2
1.528 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
1.528 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
1.528 * [taylor]: Taking taylor expansion of phi1 in lambda1
1.528 * [backup-simplify]: Simplify phi1 into phi1
1.528 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.528 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
1.528 * [taylor]: Taking taylor expansion of phi2 in lambda1
1.528 * [backup-simplify]: Simplify phi2 into phi2
1.529 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.529 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
1.529 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
1.529 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.529 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.529 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.529 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.529 * [backup-simplify]: Simplify (- 0) into 0
1.529 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.529 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda1
1.529 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1
1.529 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
1.529 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.529 * [backup-simplify]: Simplify lambda2 into lambda2
1.529 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
1.529 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
1.529 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.529 * [backup-simplify]: Simplify 0 into 0
1.529 * [backup-simplify]: Simplify 1 into 1
1.530 * [backup-simplify]: Simplify (/ 1 1) into 1
1.530 * [backup-simplify]: Simplify (- 1) into -1
1.530 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.530 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda1
1.530 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
1.530 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
1.530 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
1.530 * [taylor]: Taking taylor expansion of -1/2 in lambda1
1.530 * [backup-simplify]: Simplify -1/2 into -1/2
1.530 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
1.530 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
1.530 * [taylor]: Taking taylor expansion of phi1 in lambda1
1.530 * [backup-simplify]: Simplify phi1 into phi1
1.530 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.530 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
1.531 * [taylor]: Taking taylor expansion of phi2 in lambda1
1.531 * [backup-simplify]: Simplify phi2 into phi2
1.531 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.531 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
1.531 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
1.531 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.531 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.531 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.531 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.531 * [backup-simplify]: Simplify (- 0) into 0
1.531 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.531 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda1
1.531 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1
1.531 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
1.531 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.531 * [backup-simplify]: Simplify lambda2 into lambda2
1.531 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
1.532 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
1.532 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.532 * [backup-simplify]: Simplify 0 into 0
1.532 * [backup-simplify]: Simplify 1 into 1
1.532 * [backup-simplify]: Simplify (/ 1 1) into 1
1.532 * [backup-simplify]: Simplify (- 1) into -1
1.532 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.533 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.533 * [backup-simplify]: Simplify (* -1 -1) into 1
1.533 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.533 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
1.533 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
1.533 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
1.533 * [taylor]: Taking taylor expansion of -1/2 in lambda2
1.533 * [backup-simplify]: Simplify -1/2 into -1/2
1.533 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
1.533 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
1.533 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.533 * [backup-simplify]: Simplify phi1 into phi1
1.533 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.533 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
1.533 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.533 * [backup-simplify]: Simplify phi2 into phi2
1.533 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.533 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
1.533 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
1.533 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.533 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.534 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.534 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.534 * [backup-simplify]: Simplify (- 0) into 0
1.534 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.535 * [backup-simplify]: Simplify (- 0) into 0
1.535 * [backup-simplify]: Simplify (+ (/ 1 lambda2) 0) into (/ 1 lambda2)
1.535 * [backup-simplify]: Simplify (+ (* -1 (/ 1 lambda2)) (* (/ 1 lambda2) -1)) into (- (* 2 (/ 1 lambda2)))
1.535 * [backup-simplify]: Simplify (+ 0) into 0
1.536 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
1.536 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
1.536 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
1.536 * [backup-simplify]: Simplify (+ 0 0) into 0
1.536 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
1.537 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.537 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
1.538 * [backup-simplify]: Simplify (- 0) into 0
1.538 * [backup-simplify]: Simplify (+ 0 0) into 0
1.538 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
1.538 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (- (* 2 (/ 1 lambda2)))) (* 0 1)) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
1.539 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) in lambda2
1.539 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) in lambda2
1.539 * [taylor]: Taking taylor expansion of 2 in lambda2
1.539 * [backup-simplify]: Simplify 2 into 2
1.539 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) in lambda2
1.539 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
1.539 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
1.539 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
1.539 * [taylor]: Taking taylor expansion of -1/2 in lambda2
1.539 * [backup-simplify]: Simplify -1/2 into -1/2
1.539 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
1.539 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
1.539 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.539 * [backup-simplify]: Simplify phi1 into phi1
1.539 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.539 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
1.539 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.539 * [backup-simplify]: Simplify phi2 into phi2
1.539 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.539 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
1.539 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
1.539 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.539 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.539 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.539 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.540 * [backup-simplify]: Simplify (- 0) into 0
1.540 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.540 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.540 * [backup-simplify]: Simplify 0 into 0
1.540 * [backup-simplify]: Simplify 1 into 1
1.540 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.540 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.540 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
1.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.541 * [backup-simplify]: Simplify (- 0) into 0
1.541 * [backup-simplify]: Simplify (+ 0 0) into 0
1.542 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) (/ 1 lambda2)) (* 0 -1))) into (/ 1 (pow lambda2 2))
1.542 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.543 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
1.543 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
1.543 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
1.543 * [backup-simplify]: Simplify (+ 0 0) into 0
1.544 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
1.544 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.545 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
1.545 * [backup-simplify]: Simplify (- 0) into 0
1.545 * [backup-simplify]: Simplify (+ 0 0) into 0
1.546 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
1.546 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 1 (pow lambda2 2))) (+ (* 0 (- (* 2 (/ 1 lambda2)))) (* 0 1))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
1.546 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2
1.546 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
1.546 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
1.546 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
1.546 * [taylor]: Taking taylor expansion of -1/2 in lambda2
1.546 * [backup-simplify]: Simplify -1/2 into -1/2
1.546 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
1.546 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
1.546 * [taylor]: Taking taylor expansion of phi1 in lambda2
1.546 * [backup-simplify]: Simplify phi1 into phi1
1.546 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.546 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
1.546 * [taylor]: Taking taylor expansion of phi2 in lambda2
1.546 * [backup-simplify]: Simplify phi2 into phi2
1.546 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.547 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
1.547 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
1.547 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.547 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.547 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.547 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
1.547 * [backup-simplify]: Simplify (- 0) into 0
1.547 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.547 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2
1.547 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.547 * [backup-simplify]: Simplify 0 into 0
1.547 * [backup-simplify]: Simplify 1 into 1
1.548 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.548 * [backup-simplify]: Simplify (* 1 1) into 1
1.548 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.548 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
1.548 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
1.548 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
1.548 * [taylor]: Taking taylor expansion of -1/2 in phi1
1.548 * [backup-simplify]: Simplify -1/2 into -1/2
1.548 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
1.548 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
1.548 * [taylor]: Taking taylor expansion of phi1 in phi1
1.548 * [backup-simplify]: Simplify 0 into 0
1.548 * [backup-simplify]: Simplify 1 into 1
1.548 * [backup-simplify]: Simplify (/ 1 1) into 1
1.548 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
1.548 * [taylor]: Taking taylor expansion of phi2 in phi1
1.548 * [backup-simplify]: Simplify phi2 into phi2
1.548 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.549 * [backup-simplify]: Simplify (+ 1 0) into 1
1.549 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
1.549 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.549 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.549 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
1.549 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
1.549 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
1.549 * [taylor]: Taking taylor expansion of -1/2 in phi2
1.549 * [backup-simplify]: Simplify -1/2 into -1/2
1.549 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
1.549 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
1.549 * [taylor]: Taking taylor expansion of phi1 in phi2
1.549 * [backup-simplify]: Simplify phi1 into phi1
1.549 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.549 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
1.549 * [taylor]: Taking taylor expansion of phi2 in phi2
1.549 * [backup-simplify]: Simplify 0 into 0
1.550 * [backup-simplify]: Simplify 1 into 1
1.550 * [backup-simplify]: Simplify (/ 1 1) into 1
1.550 * [backup-simplify]: Simplify (+ 0 1) into 1
1.551 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
1.551 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.551 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.551 * [backup-simplify]: Simplify (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.552 * [backup-simplify]: Simplify (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
1.552 * [backup-simplify]: Simplify (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))
1.552 * [taylor]: Taking taylor expansion of (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) in phi1
1.552 * [taylor]: Taking taylor expansion of (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1
1.552 * [taylor]: Taking taylor expansion of 2 in phi1
1.552 * [backup-simplify]: Simplify 2 into 2
1.552 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
1.552 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
1.552 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
1.552 * [taylor]: Taking taylor expansion of -1/2 in phi1
1.552 * [backup-simplify]: Simplify -1/2 into -1/2
1.552 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
1.552 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
1.552 * [taylor]: Taking taylor expansion of phi1 in phi1
1.552 * [backup-simplify]: Simplify 0 into 0
1.552 * [backup-simplify]: Simplify 1 into 1
1.553 * [backup-simplify]: Simplify (/ 1 1) into 1
1.553 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
1.553 * [taylor]: Taking taylor expansion of phi2 in phi1
1.553 * [backup-simplify]: Simplify phi2 into phi2
1.553 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.553 * [backup-simplify]: Simplify (+ 1 0) into 1
1.554 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
1.554 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.554 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.554 * [backup-simplify]: Simplify (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
1.555 * [backup-simplify]: Simplify (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))
1.555 * [taylor]: Taking taylor expansion of (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) in phi2
1.555 * [taylor]: Taking taylor expansion of (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2
1.555 * [taylor]: Taking taylor expansion of 2 in phi2
1.555 * [backup-simplify]: Simplify 2 into 2
1.555 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
1.555 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
1.555 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
1.555 * [taylor]: Taking taylor expansion of -1/2 in phi2
1.555 * [backup-simplify]: Simplify -1/2 into -1/2
1.555 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
1.555 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
1.555 * [taylor]: Taking taylor expansion of phi1 in phi2
1.555 * [backup-simplify]: Simplify phi1 into phi1
1.555 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.555 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
1.555 * [taylor]: Taking taylor expansion of phi2 in phi2
1.555 * [backup-simplify]: Simplify 0 into 0
1.555 * [backup-simplify]: Simplify 1 into 1
1.556 * [backup-simplify]: Simplify (/ 1 1) into 1
1.556 * [backup-simplify]: Simplify (+ 0 1) into 1
1.556 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
1.557 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.557 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.557 * [backup-simplify]: Simplify (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
1.557 * [backup-simplify]: Simplify (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))
1.558 * [backup-simplify]: Simplify (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))
1.558 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.558 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
1.558 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
1.558 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
1.558 * [taylor]: Taking taylor expansion of -1/2 in phi1
1.558 * [backup-simplify]: Simplify -1/2 into -1/2
1.558 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
1.558 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
1.558 * [taylor]: Taking taylor expansion of phi1 in phi1
1.558 * [backup-simplify]: Simplify 0 into 0
1.558 * [backup-simplify]: Simplify 1 into 1
1.559 * [backup-simplify]: Simplify (/ 1 1) into 1
1.559 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
1.559 * [taylor]: Taking taylor expansion of phi2 in phi1
1.559 * [backup-simplify]: Simplify phi2 into phi2
1.559 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.559 * [backup-simplify]: Simplify (+ 1 0) into 1
1.560 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
1.560 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.560 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.560 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
1.560 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
1.560 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
1.560 * [taylor]: Taking taylor expansion of -1/2 in phi2
1.560 * [backup-simplify]: Simplify -1/2 into -1/2
1.560 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
1.560 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
1.560 * [taylor]: Taking taylor expansion of phi1 in phi2
1.560 * [backup-simplify]: Simplify phi1 into phi1
1.560 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.561 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
1.561 * [taylor]: Taking taylor expansion of phi2 in phi2
1.561 * [backup-simplify]: Simplify 0 into 0
1.561 * [backup-simplify]: Simplify 1 into 1
1.561 * [backup-simplify]: Simplify (/ 1 1) into 1
1.561 * [backup-simplify]: Simplify (+ 0 1) into 1
1.562 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
1.562 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
1.562 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.562 * [backup-simplify]: Simplify (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
1.564 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) 2) (pow (* 1 (* 1 (* 1 (/ 1 (/ 1 (- lambda1)))))) 2)) (+ (* (- (* 2 (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) 2))) (* 1 (* 1 (* (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))))) (* (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) 2) (pow (* 1 (* 1 (* (/ 1 (/ 1 (- lambda2))) 1))) 2)))) into (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))))
1.564 * * * [progress]: simplifying candidates
1.564 * * * * [progress]: [ 1 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (pow (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) 1/2)))>
1.564 * * * * [progress]: [ 2 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (pow (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) 1)))>
1.565 * * * * [progress]: [ 3 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (exp (log (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))>
1.565 * [simplify]: Simplifying (log (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))
1.565 * * [simplify]: iters left: 6 (16 enodes)
1.571 * * [simplify]: iters left: 5 (62 enodes)
1.581 * * [simplify]: iters left: 4 (111 enodes)
1.616 * * [simplify]: iters left: 3 (312 enodes)
1.796 * * [simplify]: Extracting #0: cost 1 inf + 0
1.796 * * [simplify]: Extracting #1: cost 3 inf + 0
1.796 * * [simplify]: Extracting #2: cost 5 inf + 0
1.796 * * [simplify]: Extracting #3: cost 21 inf + 0
1.797 * * [simplify]: Extracting #4: cost 139 inf + 0
1.798 * * [simplify]: Extracting #5: cost 199 inf + 44
1.799 * * [simplify]: Extracting #6: cost 199 inf + 1968
1.802 * * [simplify]: Extracting #7: cost 131 inf + 14187
1.813 * * [simplify]: Extracting #8: cost 26 inf + 45746
1.831 * * [simplify]: Extracting #9: cost 0 inf + 55955
1.857 * [simplify]: Simplified to (log (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))
1.857 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (exp (log (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))))
1.857 * * * * [progress]: [ 4 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (log (exp (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))>
1.857 * [simplify]: Simplifying (exp (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))
1.858 * * [simplify]: iters left: 6 (16 enodes)
1.865 * * [simplify]: iters left: 5 (62 enodes)
1.875 * * [simplify]: iters left: 4 (111 enodes)
1.903 * * [simplify]: iters left: 3 (312 enodes)
2.040 * * [simplify]: Extracting #0: cost 1 inf + 0
2.040 * * [simplify]: Extracting #1: cost 3 inf + 0
2.040 * * [simplify]: Extracting #2: cost 5 inf + 0
2.040 * * [simplify]: Extracting #3: cost 21 inf + 0
2.040 * * [simplify]: Extracting #4: cost 139 inf + 0
2.042 * * [simplify]: Extracting #5: cost 199 inf + 44
2.044 * * [simplify]: Extracting #6: cost 199 inf + 1968
2.050 * * [simplify]: Extracting #7: cost 131 inf + 14187
2.065 * * [simplify]: Extracting #8: cost 26 inf + 45746
2.078 * * [simplify]: Extracting #9: cost 0 inf + 55955
2.097 * [simplify]: Simplified to (exp (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))
2.098 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (exp (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))))
2.098 * * * * [progress]: [ 5 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (* (* (cbrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))>
2.098 * [simplify]: Simplifying (* (cbrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))
2.099 * * [simplify]: iters left: 6 (17 enodes)
2.105 * * [simplify]: iters left: 5 (65 enodes)
2.116 * * [simplify]: iters left: 4 (114 enodes)
2.150 * * [simplify]: iters left: 3 (315 enodes)
2.291 * * [simplify]: Extracting #0: cost 1 inf + 0
2.291 * * [simplify]: Extracting #1: cost 3 inf + 0
2.291 * * [simplify]: Extracting #2: cost 5 inf + 0
2.291 * * [simplify]: Extracting #3: cost 7 inf + 0
2.291 * * [simplify]: Extracting #4: cost 23 inf + 0
2.291 * * [simplify]: Extracting #5: cost 145 inf + 0
2.292 * * [simplify]: Extracting #6: cost 203 inf + 85
2.293 * * [simplify]: Extracting #7: cost 204 inf + 2288
2.295 * * [simplify]: Extracting #8: cost 147 inf + 12614
2.305 * * [simplify]: Extracting #9: cost 23 inf + 50932
2.319 * * [simplify]: Extracting #10: cost 0 inf + 57738
2.332 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))
2.332 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (* (cbrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (cbrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))
2.332 * [simplify]: Simplifying (cbrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))
2.333 * * [simplify]: iters left: 6 (16 enodes)
2.339 * * [simplify]: iters left: 5 (62 enodes)
2.358 * * [simplify]: iters left: 4 (111 enodes)
2.407 * * [simplify]: iters left: 3 (312 enodes)
2.585 * * [simplify]: Extracting #0: cost 1 inf + 0
2.585 * * [simplify]: Extracting #1: cost 3 inf + 0
2.585 * * [simplify]: Extracting #2: cost 5 inf + 0
2.586 * * [simplify]: Extracting #3: cost 21 inf + 0
2.586 * * [simplify]: Extracting #4: cost 139 inf + 0
2.587 * * [simplify]: Extracting #5: cost 199 inf + 44
2.590 * * [simplify]: Extracting #6: cost 199 inf + 1968
2.596 * * [simplify]: Extracting #7: cost 131 inf + 14187
2.615 * * [simplify]: Extracting #8: cost 26 inf + 45766
2.639 * * [simplify]: Extracting #9: cost 0 inf + 55975
2.668 * [simplify]: Simplified to (cbrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))
2.668 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (* (cbrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))))
2.669 * * * * [progress]: [ 6 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (cbrt (* (* (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))>
2.669 * [simplify]: Simplifying (* (* (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))
2.669 * * [simplify]: iters left: 6 (17 enodes)
2.678 * * [simplify]: iters left: 5 (64 enodes)
2.695 * * [simplify]: iters left: 4 (124 enodes)
2.728 * * [simplify]: iters left: 3 (386 enodes)
2.983 * * [simplify]: Extracting #0: cost 1 inf + 0
2.984 * * [simplify]: Extracting #1: cost 14 inf + 0
2.984 * * [simplify]: Extracting #2: cost 97 inf + 1
2.986 * * [simplify]: Extracting #3: cost 269 inf + 3
2.988 * * [simplify]: Extracting #4: cost 304 inf + 585
2.993 * * [simplify]: Extracting #5: cost 251 inf + 6240
3.001 * * [simplify]: Extracting #6: cost 209 inf + 15971
3.025 * * [simplify]: Extracting #7: cost 85 inf + 60123
3.071 * * [simplify]: Extracting #8: cost 10 inf + 95904
3.127 * * [simplify]: Extracting #9: cost 0 inf + 101554
3.180 * [simplify]: Simplified to (* (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))
3.180 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (cbrt (* (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))))
3.180 * * * * [progress]: [ 7 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))>
3.181 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))
3.181 * * [simplify]: iters left: 6 (17 enodes)
3.189 * * [simplify]: iters left: 5 (66 enodes)
3.210 * * [simplify]: iters left: 4 (115 enodes)
3.243 * * [simplify]: iters left: 3 (316 enodes)
3.415 * * [simplify]: Extracting #0: cost 1 inf + 0
3.415 * * [simplify]: Extracting #1: cost 4 inf + 0
3.415 * * [simplify]: Extracting #2: cost 7 inf + 0
3.415 * * [simplify]: Extracting #3: cost 23 inf + 0
3.415 * * [simplify]: Extracting #4: cost 149 inf + 0
3.417 * * [simplify]: Extracting #5: cost 208 inf + 44
3.419 * * [simplify]: Extracting #6: cost 204 inf + 2293
3.423 * * [simplify]: Extracting #7: cost 163 inf + 8012
3.445 * * [simplify]: Extracting #8: cost 26 inf + 50766
3.470 * * [simplify]: Extracting #9: cost 0 inf + 58573
3.493 * [simplify]: Simplified to (fabs (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))
3.493 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (fabs (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))
3.493 * [simplify]: Simplifying (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))
3.494 * * [simplify]: iters left: 6 (16 enodes)
3.497 * * [simplify]: iters left: 5 (62 enodes)
3.507 * * [simplify]: iters left: 4 (111 enodes)
3.540 * * [simplify]: iters left: 3 (312 enodes)
3.666 * * [simplify]: Extracting #0: cost 1 inf + 0
3.666 * * [simplify]: Extracting #1: cost 3 inf + 0
3.667 * * [simplify]: Extracting #2: cost 5 inf + 0
3.667 * * [simplify]: Extracting #3: cost 21 inf + 0
3.667 * * [simplify]: Extracting #4: cost 139 inf + 0
3.668 * * [simplify]: Extracting #5: cost 199 inf + 44
3.669 * * [simplify]: Extracting #6: cost 199 inf + 1968
3.672 * * [simplify]: Extracting #7: cost 131 inf + 14187
3.681 * * [simplify]: Extracting #8: cost 26 inf + 45806
3.695 * * [simplify]: Extracting #9: cost 0 inf + 56055
3.708 * [simplify]: Simplified to (sqrt (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))
3.708 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))))
3.708 * * * * [progress]: [ 8 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))>
3.708 * [simplify]: Simplifying (sqrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))
3.708 * * [simplify]: iters left: 6 (16 enodes)
3.712 * * [simplify]: iters left: 5 (62 enodes)
3.722 * * [simplify]: iters left: 4 (111 enodes)
3.763 * * [simplify]: iters left: 3 (312 enodes)
3.900 * * [simplify]: Extracting #0: cost 1 inf + 0
3.901 * * [simplify]: Extracting #1: cost 3 inf + 0
3.901 * * [simplify]: Extracting #2: cost 5 inf + 0
3.901 * * [simplify]: Extracting #3: cost 21 inf + 0
3.901 * * [simplify]: Extracting #4: cost 139 inf + 0
3.903 * * [simplify]: Extracting #5: cost 199 inf + 44
3.905 * * [simplify]: Extracting #6: cost 199 inf + 1968
3.911 * * [simplify]: Extracting #7: cost 131 inf + 14187
3.930 * * [simplify]: Extracting #8: cost 26 inf + 45686
3.954 * * [simplify]: Extracting #9: cost 0 inf + 55895
3.976 * [simplify]: Simplified to (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))
3.976 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))
3.977 * [simplify]: Simplifying (sqrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))
3.977 * * [simplify]: iters left: 6 (16 enodes)
3.981 * * [simplify]: iters left: 5 (62 enodes)
3.990 * * [simplify]: iters left: 4 (111 enodes)
4.015 * * [simplify]: iters left: 3 (312 enodes)
4.146 * * [simplify]: Extracting #0: cost 1 inf + 0
4.146 * * [simplify]: Extracting #1: cost 3 inf + 0
4.146 * * [simplify]: Extracting #2: cost 5 inf + 0
4.146 * * [simplify]: Extracting #3: cost 21 inf + 0
4.147 * * [simplify]: Extracting #4: cost 139 inf + 0
4.148 * * [simplify]: Extracting #5: cost 199 inf + 44
4.150 * * [simplify]: Extracting #6: cost 199 inf + 1968
4.156 * * [simplify]: Extracting #7: cost 131 inf + 14187
4.174 * * [simplify]: Extracting #8: cost 26 inf + 45686
4.192 * * [simplify]: Extracting #9: cost 0 inf + 55895
4.207 * [simplify]: Simplified to (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))
4.207 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))))
4.207 * * * * [progress]: [ 9 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt 1) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))>
4.207 * [simplify]: Simplifying (sqrt 1)
4.207 * * [simplify]: iters left: 1 (2 enodes)
4.209 * * [simplify]: Extracting #0: cost 1 inf + 0
4.209 * * [simplify]: Extracting #1: cost 0 inf + 1
4.209 * [simplify]: Simplified to 1
4.209 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* 1 (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))
4.210 * [simplify]: Simplifying (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))
4.210 * * [simplify]: iters left: 6 (15 enodes)
4.214 * * [simplify]: iters left: 5 (59 enodes)
4.229 * * [simplify]: iters left: 4 (108 enodes)
4.256 * * [simplify]: iters left: 3 (309 enodes)
4.386 * * [simplify]: Extracting #0: cost 1 inf + 0
4.387 * * [simplify]: Extracting #1: cost 3 inf + 0
4.387 * * [simplify]: Extracting #2: cost 20 inf + 0
4.387 * * [simplify]: Extracting #3: cost 141 inf + 0
4.389 * * [simplify]: Extracting #4: cost 198 inf + 209
4.391 * * [simplify]: Extracting #5: cost 202 inf + 1887
4.396 * * [simplify]: Extracting #6: cost 136 inf + 13902
4.416 * * [simplify]: Extracting #7: cost 10 inf + 53057
4.432 * * [simplify]: Extracting #8: cost 0 inf + 56025
4.445 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))
4.445 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* 1 (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))))
4.445 * * * * [progress]: [ 10 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
4.445 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
4.446 * * [simplify]: iters left: 6 (34 enodes)
4.457 * * [simplify]: iters left: 5 (173 enodes)
4.512 * * [simplify]: Extracting #0: cost 1 inf + 0
4.513 * * [simplify]: Extracting #1: cost 3 inf + 0
4.513 * * [simplify]: Extracting #2: cost 6 inf + 0
4.513 * * [simplify]: Extracting #3: cost 60 inf + 0
4.513 * * [simplify]: Extracting #4: cost 168 inf + 0
4.514 * * [simplify]: Extracting #5: cost 241 inf + 0
4.516 * * [simplify]: Extracting #6: cost 200 inf + 15564
4.524 * * [simplify]: Extracting #7: cost 63 inf + 60484
4.537 * * [simplify]: Extracting #8: cost 7 inf + 73587
4.559 * * [simplify]: Extracting #9: cost 0 inf + 76781
4.586 * * [simplify]: Extracting #10: cost 0 inf + 76461
4.612 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))
4.613 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
4.613 * [simplify]: Simplifying (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
4.614 * * [simplify]: iters left: 6 (18 enodes)
4.623 * * [simplify]: iters left: 5 (87 enodes)
4.662 * * [simplify]: iters left: 4 (318 enodes)
4.909 * * [simplify]: Extracting #0: cost 1 inf + 0
4.909 * * [simplify]: Extracting #1: cost 4 inf + 0
4.909 * * [simplify]: Extracting #2: cost 66 inf + 0
4.910 * * [simplify]: Extracting #3: cost 433 inf + 0
4.925 * * [simplify]: Extracting #4: cost 544 inf + 59501
4.985 * * [simplify]: Extracting #5: cost 26 inf + 211918
5.050 * * [simplify]: Extracting #6: cost 0 inf + 211968
5.144 * * [simplify]: Extracting #7: cost 0 inf + 211648
5.204 * [simplify]: Simplified to (fabs (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))
5.204 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (fabs (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
5.204 * * * * [progress]: [ 11 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
5.205 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
5.205 * * [simplify]: iters left: 6 (35 enodes)
5.215 * * [simplify]: iters left: 5 (178 enodes)
5.258 * * [simplify]: Extracting #0: cost 1 inf + 0
5.258 * * [simplify]: Extracting #1: cost 3 inf + 0
5.258 * * [simplify]: Extracting #2: cost 6 inf + 0
5.258 * * [simplify]: Extracting #3: cost 58 inf + 0
5.259 * * [simplify]: Extracting #4: cost 172 inf + 0
5.260 * * [simplify]: Extracting #5: cost 235 inf + 85
5.263 * * [simplify]: Extracting #6: cost 191 inf + 15306
5.279 * * [simplify]: Extracting #7: cost 74 inf + 52611
5.301 * * [simplify]: Extracting #8: cost 8 inf + 66818
5.325 * * [simplify]: Extracting #9: cost 0 inf + 71295
5.349 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* (+ (* (* phi2 (- phi2)) phi2) (* (* phi1 phi1) phi1)) (* phi1 phi1)) (* (+ (* (* phi2 (- phi2)) phi2) (* (* phi1 phi1) phi1)) (* phi2 (- phi2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))
5.349 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* (+ (* (* phi2 (- phi2)) phi2) (* (* phi1 phi1) phi1)) (* phi1 phi1)) (* (+ (* (* phi2 (- phi2)) phi2) (* (* phi1 phi1) phi1)) (* phi2 (- phi2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
5.350 * [simplify]: Simplifying (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
5.350 * * [simplify]: iters left: 6 (19 enodes)
5.360 * * [simplify]: iters left: 5 (89 enodes)
5.395 * * [simplify]: iters left: 4 (291 enodes)
5.654 * * [simplify]: Extracting #0: cost 1 inf + 0
5.654 * * [simplify]: Extracting #1: cost 3 inf + 0
5.654 * * [simplify]: Extracting #2: cost 66 inf + 0
5.656 * * [simplify]: Extracting #3: cost 367 inf + 0
5.668 * * [simplify]: Extracting #4: cost 447 inf + 41097
5.701 * * [simplify]: Extracting #5: cost 26 inf + 170799
5.759 * * [simplify]: Extracting #6: cost 0 inf + 171894
5.822 * * [simplify]: Extracting #7: cost 0 inf + 171614
5.892 * [simplify]: Simplified to (sqrt (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))
5.892 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* (+ (* (* phi2 (- phi2)) phi2) (* (* phi1 phi1) phi1)) (* phi1 phi1)) (* (+ (* (* phi2 (- phi2)) phi2) (* (* phi1 phi1) phi1)) (* phi2 (- phi2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (sqrt (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
5.893 * * * * [progress]: [ 12 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
5.893 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
5.893 * * [simplify]: iters left: 6 (35 enodes)
5.903 * * [simplify]: iters left: 5 (178 enodes)
5.977 * * [simplify]: Extracting #0: cost 1 inf + 0
5.977 * * [simplify]: Extracting #1: cost 3 inf + 0
5.977 * * [simplify]: Extracting #2: cost 6 inf + 0
5.977 * * [simplify]: Extracting #3: cost 60 inf + 0
5.977 * * [simplify]: Extracting #4: cost 170 inf + 0
5.979 * * [simplify]: Extracting #5: cost 230 inf + 166
5.982 * * [simplify]: Extracting #6: cost 178 inf + 14825
5.997 * * [simplify]: Extracting #7: cost 44 inf + 55372
6.022 * * [simplify]: Extracting #8: cost 5 inf + 67005
6.046 * * [simplify]: Extracting #9: cost 0 inf + 68927
6.070 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))
6.070 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
6.071 * [simplify]: Simplifying (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
6.071 * * [simplify]: iters left: 6 (19 enodes)
6.080 * * [simplify]: iters left: 5 (89 enodes)
6.115 * * [simplify]: iters left: 4 (289 enodes)
6.301 * * [simplify]: Extracting #0: cost 1 inf + 0
6.301 * * [simplify]: Extracting #1: cost 3 inf + 0
6.301 * * [simplify]: Extracting #2: cost 59 inf + 0
6.302 * * [simplify]: Extracting #3: cost 355 inf + 0
6.304 * * [simplify]: Extracting #4: cost 522 inf + 2486
6.319 * * [simplify]: Extracting #5: cost 241 inf + 71907
6.381 * * [simplify]: Extracting #6: cost 4 inf + 153839
6.454 * * [simplify]: Extracting #7: cost 0 inf + 155414
6.499 * [simplify]: Simplified to (sqrt (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))
6.500 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* phi1 phi1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi2 phi2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (sqrt (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))))
6.500 * * * * [progress]: [ 13 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
6.500 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
6.500 * * [simplify]: iters left: 6 (29 enodes)
6.511 * * [simplify]: iters left: 5 (146 enodes)
6.570 * * [simplify]: iters left: 4 (476 enodes)
6.913 * * [simplify]: Extracting #0: cost 1 inf + 0
6.913 * * [simplify]: Extracting #1: cost 3 inf + 0
6.913 * * [simplify]: Extracting #2: cost 20 inf + 0
6.914 * * [simplify]: Extracting #3: cost 282 inf + 0
6.918 * * [simplify]: Extracting #4: cost 726 inf + 742
6.923 * * [simplify]: Extracting #5: cost 770 inf + 17733
6.943 * * [simplify]: Extracting #6: cost 517 inf + 82722
6.990 * * [simplify]: Extracting #7: cost 303 inf + 151104
7.049 * * [simplify]: Extracting #8: cost 65 inf + 252147
7.119 * * [simplify]: Extracting #9: cost 1 inf + 285337
7.200 * * [simplify]: Extracting #10: cost 0 inf + 285762
7.271 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)))))
7.271 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
7.272 * [simplify]: Simplifying (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))
7.272 * * [simplify]: iters left: 6 (14 enodes)
7.278 * * [simplify]: iters left: 5 (69 enodes)
7.307 * * [simplify]: iters left: 4 (237 enodes)
7.442 * * [simplify]: Extracting #0: cost 1 inf + 0
7.444 * * [simplify]: Extracting #1: cost 4 inf + 0
7.444 * * [simplify]: Extracting #2: cost 43 inf + 0
7.445 * * [simplify]: Extracting #3: cost 252 inf + 0
7.452 * * [simplify]: Extracting #4: cost 347 inf + 12993
7.478 * * [simplify]: Extracting #5: cost 92 inf + 72292
7.515 * * [simplify]: Extracting #6: cost 0 inf + 91738
7.537 * * [simplify]: Extracting #7: cost 0 inf + 89858
7.560 * * [simplify]: Extracting #8: cost 0 inf + 89818
7.581 * [simplify]: Simplified to (fabs (* (+ phi1 phi2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))
7.581 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ phi2 phi1))) (* (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi2 phi1)) (- phi1 phi2))))) (fabs (* (+ phi1 phi2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
7.581 * * * * [progress]: [ 14 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
7.581 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
7.582 * * [simplify]: iters left: 6 (34 enodes)
7.595 * * [simplify]: iters left: 5 (170 enodes)
7.642 * * [simplify]: Extracting #0: cost 1 inf + 0
7.642 * * [simplify]: Extracting #1: cost 3 inf + 0
7.642 * * [simplify]: Extracting #2: cost 10 inf + 0
7.642 * * [simplify]: Extracting #3: cost 78 inf + 0
7.643 * * [simplify]: Extracting #4: cost 160 inf + 42
7.644 * * [simplify]: Extracting #5: cost 207 inf + 207
7.646 * * [simplify]: Extracting #6: cost 166 inf + 14735
7.660 * * [simplify]: Extracting #7: cost 33 inf + 63686
7.671 * * [simplify]: Extracting #8: cost 1 inf + 64060
7.684 * * [simplify]: Extracting #9: cost 0 inf + 64112
7.707 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))
7.707 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
7.708 * [simplify]: Simplifying (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
7.708 * * [simplify]: iters left: 6 (17 enodes)
7.716 * * [simplify]: iters left: 5 (80 enodes)
7.748 * * [simplify]: iters left: 4 (252 enodes)
7.902 * * [simplify]: Extracting #0: cost 1 inf + 0
7.902 * * [simplify]: Extracting #1: cost 3 inf + 0
7.902 * * [simplify]: Extracting #2: cost 48 inf + 0
7.904 * * [simplify]: Extracting #3: cost 344 inf + 0
7.910 * * [simplify]: Extracting #4: cost 448 inf + 16829
7.947 * * [simplify]: Extracting #5: cost 144 inf + 97244
7.982 * * [simplify]: Extracting #6: cost 12 inf + 131042
8.019 * * [simplify]: Extracting #7: cost 0 inf + 131924
8.067 * [simplify]: Simplified to (sqrt (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))
8.067 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (sqrt (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))
8.067 * * * * [progress]: [ 15 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))))))>
8.068 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
8.068 * * [simplify]: iters left: 6 (29 enodes)
8.084 * * [simplify]: iters left: 5 (142 enodes)
8.144 * * [simplify]: iters left: 4 (432 enodes)
8.376 * * [simplify]: Extracting #0: cost 1 inf + 0
8.376 * * [simplify]: Extracting #1: cost 3 inf + 0
8.376 * * [simplify]: Extracting #2: cost 15 inf + 0
8.377 * * [simplify]: Extracting #3: cost 195 inf + 0
8.380 * * [simplify]: Extracting #4: cost 515 inf + 87
8.391 * * [simplify]: Extracting #5: cost 632 inf + 21089
8.442 * * [simplify]: Extracting #6: cost 283 inf + 117143
8.499 * * [simplify]: Extracting #7: cost 209 inf + 136236
8.573 * * [simplify]: Extracting #8: cost 81 inf + 191013
8.670 * * [simplify]: Extracting #9: cost 4 inf + 230272
8.741 * * [simplify]: Extracting #10: cost 1 inf + 232587
8.807 * * [simplify]: Extracting #11: cost 0 inf + 233452
8.888 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))))
8.888 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))))))
8.888 * [simplify]: Simplifying (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))
8.888 * * [simplify]: iters left: 6 (13 enodes)
8.891 * * [simplify]: iters left: 5 (62 enodes)
8.904 * * [simplify]: iters left: 4 (191 enodes)
9.003 * * [simplify]: Extracting #0: cost 1 inf + 0
9.003 * * [simplify]: Extracting #1: cost 3 inf + 0
9.003 * * [simplify]: Extracting #2: cost 39 inf + 0
9.004 * * [simplify]: Extracting #3: cost 234 inf + 0
9.007 * * [simplify]: Extracting #4: cost 292 inf + 10597
9.022 * * [simplify]: Extracting #5: cost 42 inf + 62997
9.059 * * [simplify]: Extracting #6: cost 0 inf + 68822
9.091 * * [simplify]: Extracting #7: cost 0 inf + 68582
9.118 * [simplify]: Simplified to (sqrt (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi1 phi2)))
9.118 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (sqrt (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi1 phi2))))))
9.119 * * * * [progress]: [ 16 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
9.119 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
9.119 * * [simplify]: iters left: 6 (34 enodes)
9.129 * * [simplify]: iters left: 5 (170 enodes)
9.180 * * [simplify]: Extracting #0: cost 1 inf + 0
9.180 * * [simplify]: Extracting #1: cost 3 inf + 0
9.180 * * [simplify]: Extracting #2: cost 10 inf + 0
9.180 * * [simplify]: Extracting #3: cost 78 inf + 0
9.181 * * [simplify]: Extracting #4: cost 160 inf + 42
9.181 * * [simplify]: Extracting #5: cost 207 inf + 207
9.183 * * [simplify]: Extracting #6: cost 166 inf + 14947
9.191 * * [simplify]: Extracting #7: cost 31 inf + 64720
9.202 * * [simplify]: Extracting #8: cost 1 inf + 64620
9.214 * * [simplify]: Extracting #9: cost 0 inf + 64752
9.226 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))
9.227 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
9.227 * [simplify]: Simplifying (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
9.227 * * [simplify]: iters left: 6 (17 enodes)
9.232 * * [simplify]: iters left: 5 (80 enodes)
9.251 * * [simplify]: iters left: 4 (252 enodes)
9.374 * * [simplify]: Extracting #0: cost 1 inf + 0
9.374 * * [simplify]: Extracting #1: cost 3 inf + 0
9.374 * * [simplify]: Extracting #2: cost 48 inf + 0
9.375 * * [simplify]: Extracting #3: cost 344 inf + 0
9.382 * * [simplify]: Extracting #4: cost 448 inf + 16829
9.405 * * [simplify]: Extracting #5: cost 144 inf + 97244
9.443 * * [simplify]: Extracting #6: cost 12 inf + 131042
9.481 * * [simplify]: Extracting #7: cost 0 inf + 131924
9.518 * [simplify]: Simplified to (sqrt (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))
9.518 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))
9.519 * * * * [progress]: [ 17 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))))))>
9.519 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
9.520 * * [simplify]: iters left: 6 (29 enodes)
9.535 * * [simplify]: iters left: 5 (142 enodes)
9.596 * * [simplify]: iters left: 4 (432 enodes)
10.186 * * [simplify]: Extracting #0: cost 1 inf + 0
10.186 * * [simplify]: Extracting #1: cost 3 inf + 0
10.186 * * [simplify]: Extracting #2: cost 15 inf + 0
10.186 * * [simplify]: Extracting #3: cost 197 inf + 0
10.188 * * [simplify]: Extracting #4: cost 523 inf + 128
10.191 * * [simplify]: Extracting #5: cost 683 inf + 5697
10.203 * * [simplify]: Extracting #6: cost 530 inf + 35960
10.234 * * [simplify]: Extracting #7: cost 270 inf + 116504
10.289 * * [simplify]: Extracting #8: cost 54 inf + 209065
10.354 * * [simplify]: Extracting #9: cost 2 inf + 234344
10.420 * * [simplify]: Extracting #10: cost 0 inf + 235954
10.492 * * [simplify]: Extracting #11: cost 0 inf + 235914
10.574 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))))
10.574 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))))))
10.575 * [simplify]: Simplifying (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))
10.575 * * [simplify]: iters left: 6 (13 enodes)
10.578 * * [simplify]: iters left: 5 (62 enodes)
10.595 * * [simplify]: iters left: 4 (191 enodes)
10.746 * * [simplify]: Extracting #0: cost 1 inf + 0
10.746 * * [simplify]: Extracting #1: cost 3 inf + 0
10.746 * * [simplify]: Extracting #2: cost 39 inf + 0
10.747 * * [simplify]: Extracting #3: cost 234 inf + 0
10.752 * * [simplify]: Extracting #4: cost 292 inf + 10597
10.777 * * [simplify]: Extracting #5: cost 42 inf + 62997
10.814 * * [simplify]: Extracting #6: cost 0 inf + 68822
10.847 * * [simplify]: Extracting #7: cost 0 inf + 68582
10.880 * [simplify]: Simplified to (sqrt (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi1 phi2)))
10.880 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))) (sqrt (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi1 phi2))))))
10.881 * * * * [progress]: [ 18 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
10.881 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
10.881 * * [simplify]: iters left: 6 (37 enodes)
10.902 * * [simplify]: iters left: 5 (182 enodes)
10.955 * * [simplify]: Extracting #0: cost 1 inf + 0
10.955 * * [simplify]: Extracting #1: cost 3 inf + 0
10.955 * * [simplify]: Extracting #2: cost 6 inf + 0
10.955 * * [simplify]: Extracting #3: cost 56 inf + 0
10.955 * * [simplify]: Extracting #4: cost 166 inf + 0
10.956 * * [simplify]: Extracting #5: cost 231 inf + 44
10.957 * * [simplify]: Extracting #6: cost 190 inf + 12089
10.964 * * [simplify]: Extracting #7: cost 64 inf + 47883
10.976 * * [simplify]: Extracting #8: cost 2 inf + 73701
10.994 * * [simplify]: Extracting #9: cost 0 inf + 74618
11.008 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))
11.008 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
11.008 * [simplify]: Simplifying (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
11.008 * * [simplify]: iters left: 6 (19 enodes)
11.013 * * [simplify]: iters left: 5 (89 enodes)
11.052 * * [simplify]: iters left: 4 (297 enodes)
11.300 * * [simplify]: Extracting #0: cost 1 inf + 0
11.300 * * [simplify]: Extracting #1: cost 3 inf + 0
11.300 * * [simplify]: Extracting #2: cost 54 inf + 0
11.301 * * [simplify]: Extracting #3: cost 378 inf + 0
11.314 * * [simplify]: Extracting #4: cost 421 inf + 54082
11.366 * * [simplify]: Extracting #5: cost 12 inf + 175851
11.444 * * [simplify]: Extracting #6: cost 0 inf + 169251
11.504 * * [simplify]: Extracting #7: cost 0 inf + 169091
11.545 * [simplify]: Simplified to (sqrt (* (* (+ lambda1 lambda2) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))
11.545 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (sqrt (* (* (+ lambda1 lambda2) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
11.545 * * * * [progress]: [ 19 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
11.546 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
11.546 * * [simplify]: iters left: 6 (38 enodes)
11.558 * * [simplify]: iters left: 5 (191 enodes)
11.604 * * [simplify]: Extracting #0: cost 1 inf + 0
11.604 * * [simplify]: Extracting #1: cost 3 inf + 0
11.604 * * [simplify]: Extracting #2: cost 6 inf + 0
11.604 * * [simplify]: Extracting #3: cost 60 inf + 0
11.605 * * [simplify]: Extracting #4: cost 189 inf + 0
11.605 * * [simplify]: Extracting #5: cost 232 inf + 1029
11.608 * * [simplify]: Extracting #6: cost 133 inf + 17447
11.616 * * [simplify]: Extracting #7: cost 53 inf + 47217
11.629 * * [simplify]: Extracting #8: cost 5 inf + 69656
11.641 * * [simplify]: Extracting #9: cost 1 inf + 71690
11.654 * * [simplify]: Extracting #10: cost 0 inf + 72915
11.666 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))
11.666 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
11.667 * [simplify]: Simplifying (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
11.667 * * [simplify]: iters left: 6 (20 enodes)
11.672 * * [simplify]: iters left: 5 (93 enodes)
11.701 * * [simplify]: iters left: 4 (294 enodes)
11.961 * * [simplify]: Extracting #0: cost 1 inf + 0
11.961 * * [simplify]: Extracting #1: cost 3 inf + 0
11.961 * * [simplify]: Extracting #2: cost 76 inf + 0
11.962 * * [simplify]: Extracting #3: cost 429 inf + 0
11.976 * * [simplify]: Extracting #4: cost 383 inf + 60323
12.042 * * [simplify]: Extracting #5: cost 33 inf + 160895
12.084 * * [simplify]: Extracting #6: cost 0 inf + 159653
12.141 * [simplify]: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))))
12.141 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)))))))
12.142 * * * * [progress]: [ 20 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
12.142 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
12.142 * * [simplify]: iters left: 6 (38 enodes)
12.154 * * [simplify]: iters left: 5 (191 enodes)
12.220 * * [simplify]: Extracting #0: cost 1 inf + 0
12.220 * * [simplify]: Extracting #1: cost 3 inf + 0
12.220 * * [simplify]: Extracting #2: cost 6 inf + 0
12.220 * * [simplify]: Extracting #3: cost 62 inf + 0
12.221 * * [simplify]: Extracting #4: cost 187 inf + 0
12.222 * * [simplify]: Extracting #5: cost 226 inf + 1393
12.224 * * [simplify]: Extracting #6: cost 142 inf + 13891
12.231 * * [simplify]: Extracting #7: cost 72 inf + 39771
12.242 * * [simplify]: Extracting #8: cost 6 inf + 67943
12.256 * * [simplify]: Extracting #9: cost 0 inf + 70387
12.269 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))
12.269 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
12.269 * [simplify]: Simplifying (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
12.269 * * [simplify]: iters left: 6 (20 enodes)
12.274 * * [simplify]: iters left: 5 (93 enodes)
12.293 * * [simplify]: iters left: 4 (292 enodes)
12.458 * * [simplify]: Extracting #0: cost 1 inf + 0
12.459 * * [simplify]: Extracting #1: cost 3 inf + 0
12.459 * * [simplify]: Extracting #2: cost 70 inf + 0
12.460 * * [simplify]: Extracting #3: cost 414 inf + 0
12.466 * * [simplify]: Extracting #4: cost 398 inf + 33628
12.499 * * [simplify]: Extracting #5: cost 61 inf + 124211
12.540 * * [simplify]: Extracting #6: cost 0 inf + 140080
12.586 * * [simplify]: Extracting #7: cost 0 inf + 140000
12.619 * [simplify]: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))
12.619 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (+ lambda2 lambda1) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))
12.619 * * * * [progress]: [ 21 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
12.619 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
12.620 * * [simplify]: iters left: 6 (32 enodes)
12.629 * * [simplify]: iters left: 5 (155 enodes)
12.670 * * [simplify]: iters left: 4 (464 enodes)
13.041 * * [simplify]: Extracting #0: cost 1 inf + 0
13.041 * * [simplify]: Extracting #1: cost 3 inf + 0
13.041 * * [simplify]: Extracting #2: cost 20 inf + 0
13.042 * * [simplify]: Extracting #3: cost 271 inf + 0
13.044 * * [simplify]: Extracting #4: cost 679 inf + 541
13.050 * * [simplify]: Extracting #5: cost 615 inf + 27466
13.075 * * [simplify]: Extracting #6: cost 386 inf + 90869
13.109 * * [simplify]: Extracting #7: cost 323 inf + 110848
13.157 * * [simplify]: Extracting #8: cost 107 inf + 199300
13.223 * * [simplify]: Extracting #9: cost 5 inf + 248722
13.329 * * [simplify]: Extracting #10: cost 0 inf + 251527
13.432 * [simplify]: Simplified to (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1)))))
13.432 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))))))
13.433 * [simplify]: Simplifying (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))
13.433 * * [simplify]: iters left: 6 (15 enodes)
13.441 * * [simplify]: iters left: 5 (71 enodes)
13.467 * * [simplify]: iters left: 4 (222 enodes)
13.595 * * [simplify]: Extracting #0: cost 1 inf + 0
13.595 * * [simplify]: Extracting #1: cost 3 inf + 0
13.596 * * [simplify]: Extracting #2: cost 48 inf + 0
13.597 * * [simplify]: Extracting #3: cost 250 inf + 0
13.602 * * [simplify]: Extracting #4: cost 274 inf + 11045
13.625 * * [simplify]: Extracting #5: cost 28 inf + 65903
13.657 * * [simplify]: Extracting #6: cost 0 inf + 69801
13.692 * * [simplify]: Extracting #7: cost 0 inf + 69561
13.724 * [simplify]: Simplified to (sqrt (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))
13.724 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1))))) (sqrt (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))
13.725 * * * * [progress]: [ 22 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
13.725 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
13.725 * * [simplify]: iters left: 6 (37 enodes)
13.742 * * [simplify]: iters left: 5 (183 enodes)
13.798 * * [simplify]: Extracting #0: cost 1 inf + 0
13.798 * * [simplify]: Extracting #1: cost 3 inf + 0
13.798 * * [simplify]: Extracting #2: cost 10 inf + 0
13.799 * * [simplify]: Extracting #3: cost 78 inf + 0
13.799 * * [simplify]: Extracting #4: cost 176 inf + 1
13.801 * * [simplify]: Extracting #5: cost 212 inf + 334
13.804 * * [simplify]: Extracting #6: cost 163 inf + 12709
13.817 * * [simplify]: Extracting #7: cost 53 inf + 46819
13.839 * * [simplify]: Extracting #8: cost 7 inf + 62671
13.861 * * [simplify]: Extracting #9: cost 1 inf + 66902
13.885 * * [simplify]: Extracting #10: cost 0 inf + 68127
13.909 * [simplify]: Simplified to (sqrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))
13.909 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
13.910 * [simplify]: Simplifying (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
13.910 * * [simplify]: iters left: 6 (18 enodes)
13.918 * * [simplify]: iters left: 5 (84 enodes)
13.955 * * [simplify]: iters left: 4 (257 enodes)
14.107 * * [simplify]: Extracting #0: cost 1 inf + 0
14.107 * * [simplify]: Extracting #1: cost 3 inf + 0
14.107 * * [simplify]: Extracting #2: cost 58 inf + 0
14.108 * * [simplify]: Extracting #3: cost 341 inf + 0
14.111 * * [simplify]: Extracting #4: cost 388 inf + 13279
14.129 * * [simplify]: Extracting #5: cost 116 inf + 78440
14.176 * * [simplify]: Extracting #6: cost 3 inf + 105611
14.227 * * [simplify]: Extracting #7: cost 0 inf + 104499
14.276 * [simplify]: Simplified to (sqrt (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))
14.276 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ lambda2 lambda1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (sqrt (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))
14.276 * * * * [progress]: [ 23 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))))))>
14.277 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
14.277 * * [simplify]: iters left: 6 (32 enodes)
14.294 * * [simplify]: iters left: 5 (155 enodes)
14.329 * * [simplify]: iters left: 4 (457 enodes)
14.636 * * [simplify]: Extracting #0: cost 1 inf + 0
14.636 * * [simplify]: Extracting #1: cost 3 inf + 0
14.636 * * [simplify]: Extracting #2: cost 14 inf + 0
14.637 * * [simplify]: Extracting #3: cost 237 inf + 0
14.638 * * [simplify]: Extracting #4: cost 632 inf + 128
14.643 * * [simplify]: Extracting #5: cost 679 inf + 12534
14.658 * * [simplify]: Extracting #6: cost 423 inf + 80957
14.708 * * [simplify]: Extracting #7: cost 271 inf + 125391
14.771 * * [simplify]: Extracting #8: cost 51 inf + 216923
14.823 * * [simplify]: Extracting #9: cost 0 inf + 242781
14.873 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (cos (/ (+ phi2 phi1) 2))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))))
14.873 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (cos (/ (+ phi2 phi1) 2))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))))))
14.873 * [simplify]: Simplifying (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))
14.873 * * [simplify]: iters left: 6 (14 enodes)
14.877 * * [simplify]: iters left: 5 (66 enodes)
14.891 * * [simplify]: iters left: 4 (200 enodes)
14.978 * * [simplify]: Extracting #0: cost 1 inf + 0
14.978 * * [simplify]: Extracting #1: cost 3 inf + 0
14.978 * * [simplify]: Extracting #2: cost 47 inf + 0
14.979 * * [simplify]: Extracting #3: cost 231 inf + 0
14.982 * * [simplify]: Extracting #4: cost 231 inf + 9018
14.992 * * [simplify]: Extracting #5: cost 25 inf + 48513
15.004 * * [simplify]: Extracting #6: cost 0 inf + 51197
15.017 * * [simplify]: Extracting #7: cost 0 inf + 50877
15.044 * [simplify]: Simplified to (sqrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ lambda1 lambda2))))
15.044 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (cos (/ (+ phi2 phi1) 2))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ lambda1 lambda2)))))))
15.044 * * * * [progress]: [ 24 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
15.045 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
15.045 * * [simplify]: iters left: 6 (37 enodes)
15.065 * * [simplify]: iters left: 5 (183 enodes)
15.146 * * [simplify]: Extracting #0: cost 1 inf + 0
15.146 * * [simplify]: Extracting #1: cost 3 inf + 0
15.146 * * [simplify]: Extracting #2: cost 10 inf + 0
15.147 * * [simplify]: Extracting #3: cost 78 inf + 0
15.147 * * [simplify]: Extracting #4: cost 176 inf + 1
15.149 * * [simplify]: Extracting #5: cost 215 inf + 170
15.153 * * [simplify]: Extracting #6: cost 166 inf + 13436
15.162 * * [simplify]: Extracting #7: cost 45 inf + 55066
15.175 * * [simplify]: Extracting #8: cost 8 inf + 63061
15.188 * * [simplify]: Extracting #9: cost 1 inf + 67782
15.210 * * [simplify]: Extracting #10: cost 0 inf + 69007
15.233 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))
15.233 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
15.234 * [simplify]: Simplifying (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
15.234 * * [simplify]: iters left: 6 (18 enodes)
15.243 * * [simplify]: iters left: 5 (84 enodes)
15.273 * * [simplify]: iters left: 4 (257 enodes)
15.433 * * [simplify]: Extracting #0: cost 1 inf + 0
15.433 * * [simplify]: Extracting #1: cost 3 inf + 0
15.433 * * [simplify]: Extracting #2: cost 58 inf + 0
15.434 * * [simplify]: Extracting #3: cost 341 inf + 0
15.441 * * [simplify]: Extracting #4: cost 388 inf + 13279
15.460 * * [simplify]: Extracting #5: cost 116 inf + 78440
15.499 * * [simplify]: Extracting #6: cost 3 inf + 105611
15.541 * * [simplify]: Extracting #7: cost 0 inf + 104499
15.589 * [simplify]: Simplified to (sqrt (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))
15.589 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (sqrt (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))
15.589 * * * * [progress]: [ 25 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))))))>
15.590 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
15.590 * * [simplify]: iters left: 6 (32 enodes)
15.607 * * [simplify]: iters left: 5 (155 enodes)
15.651 * * [simplify]: iters left: 4 (457 enodes)
15.946 * * [simplify]: Extracting #0: cost 1 inf + 0
15.946 * * [simplify]: Extracting #1: cost 3 inf + 0
15.946 * * [simplify]: Extracting #2: cost 14 inf + 0
15.947 * * [simplify]: Extracting #3: cost 234 inf + 0
15.950 * * [simplify]: Extracting #4: cost 640 inf + 45
15.958 * * [simplify]: Extracting #5: cost 706 inf + 8507
15.983 * * [simplify]: Extracting #6: cost 477 inf + 63722
16.015 * * [simplify]: Extracting #7: cost 281 inf + 124602
16.063 * * [simplify]: Extracting #8: cost 63 inf + 216927
16.130 * * [simplify]: Extracting #9: cost 0 inf + 248431
16.194 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2))))))
16.194 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))))))
16.194 * [simplify]: Simplifying (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))
16.194 * * [simplify]: iters left: 6 (14 enodes)
16.197 * * [simplify]: iters left: 5 (66 enodes)
16.219 * * [simplify]: iters left: 4 (200 enodes)
16.368 * * [simplify]: Extracting #0: cost 1 inf + 0
16.368 * * [simplify]: Extracting #1: cost 3 inf + 0
16.368 * * [simplify]: Extracting #2: cost 47 inf + 0
16.369 * * [simplify]: Extracting #3: cost 231 inf + 0
16.371 * * [simplify]: Extracting #4: cost 231 inf + 9018
16.383 * * [simplify]: Extracting #5: cost 25 inf + 48513
16.400 * * [simplify]: Extracting #6: cost 0 inf + 51197
16.421 * * [simplify]: Extracting #7: cost 0 inf + 50877
16.443 * [simplify]: Simplified to (sqrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ lambda1 lambda2))))
16.443 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (- phi1 phi2) (* (+ phi2 phi1) (- phi1 phi2)))))) (sqrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (+ phi2 phi1) (+ lambda1 lambda2)))))))
16.444 * * * * [progress]: [ 26 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
16.445 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
16.445 * * [simplify]: iters left: 6 (37 enodes)
16.473 * * [simplify]: iters left: 5 (182 enodes)
16.520 * * [simplify]: Extracting #0: cost 1 inf + 0
16.520 * * [simplify]: Extracting #1: cost 3 inf + 0
16.520 * * [simplify]: Extracting #2: cost 6 inf + 0
16.520 * * [simplify]: Extracting #3: cost 56 inf + 0
16.521 * * [simplify]: Extracting #4: cost 162 inf + 0
16.522 * * [simplify]: Extracting #5: cost 218 inf + 370
16.524 * * [simplify]: Extracting #6: cost 179 inf + 5338
16.532 * * [simplify]: Extracting #7: cost 98 inf + 24016
16.550 * * [simplify]: Extracting #8: cost 27 inf + 55111
16.569 * * [simplify]: Extracting #9: cost 0 inf + 71370
16.585 * [simplify]: Simplified to (sqrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (+ lambda1 lambda2))))
16.585 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (+ lambda1 lambda2)))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
16.585 * [simplify]: Simplifying (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
16.586 * * [simplify]: iters left: 6 (19 enodes)
16.590 * * [simplify]: iters left: 5 (89 enodes)
16.608 * * [simplify]: iters left: 4 (295 enodes)
16.832 * * [simplify]: Extracting #0: cost 1 inf + 0
16.832 * * [simplify]: Extracting #1: cost 3 inf + 0
16.832 * * [simplify]: Extracting #2: cost 55 inf + 0
16.833 * * [simplify]: Extracting #3: cost 363 inf + 0
16.836 * * [simplify]: Extracting #4: cost 572 inf + 9368
16.855 * * [simplify]: Extracting #5: cost 241 inf + 106491
16.932 * * [simplify]: Extracting #6: cost 8 inf + 184566
16.991 * * [simplify]: Extracting #7: cost 0 inf + 183914
17.048 * * [simplify]: Extracting #8: cost 0 inf + 183874
17.099 * [simplify]: Simplified to (sqrt (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (+ lambda2 lambda1)))
17.099 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (+ lambda1 lambda2)))) (sqrt (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (+ lambda2 lambda1))))))
17.100 * * * * [progress]: [ 27 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
17.100 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
17.101 * * [simplify]: iters left: 6 (38 enodes)
17.116 * * [simplify]: iters left: 5 (191 enodes)
17.174 * * [simplify]: Extracting #0: cost 1 inf + 0
17.174 * * [simplify]: Extracting #1: cost 3 inf + 0
17.174 * * [simplify]: Extracting #2: cost 6 inf + 0
17.174 * * [simplify]: Extracting #3: cost 60 inf + 0
17.174 * * [simplify]: Extracting #4: cost 185 inf + 0
17.175 * * [simplify]: Extracting #5: cost 220 inf + 1235
17.178 * * [simplify]: Extracting #6: cost 132 inf + 15760
17.185 * * [simplify]: Extracting #7: cost 57 inf + 42966
17.203 * * [simplify]: Extracting #8: cost 5 inf + 69821
17.224 * * [simplify]: Extracting #9: cost 1 inf + 71682
17.238 * * [simplify]: Extracting #10: cost 0 inf + 72907
17.253 * [simplify]: Simplified to (sqrt (+ (* (+ phi1 phi2) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- (* phi1 phi1) (* phi2 phi2)))))
17.253 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ phi1 phi2) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- (* phi1 phi1) (* phi2 phi2))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
17.254 * [simplify]: Simplifying (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
17.254 * * [simplify]: iters left: 6 (20 enodes)
17.258 * * [simplify]: iters left: 5 (93 enodes)
17.292 * * [simplify]: iters left: 4 (292 enodes)
17.522 * * [simplify]: Extracting #0: cost 1 inf + 0
17.522 * * [simplify]: Extracting #1: cost 3 inf + 0
17.522 * * [simplify]: Extracting #2: cost 81 inf + 0
17.524 * * [simplify]: Extracting #3: cost 417 inf + 0
17.540 * * [simplify]: Extracting #4: cost 437 inf + 47422
17.599 * * [simplify]: Extracting #5: cost 29 inf + 165568
17.653 * * [simplify]: Extracting #6: cost 0 inf + 169954
17.722 * * [simplify]: Extracting #7: cost 0 inf + 169914
17.773 * [simplify]: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)) (+ phi2 phi1))))
17.773 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ phi1 phi2) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (+ lambda1 lambda2) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))) (- (* phi1 phi1) (* phi2 phi2))))) (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)) (+ phi2 phi1)))))))
17.774 * * * * [progress]: [ 28 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
17.775 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
17.775 * * [simplify]: iters left: 6 (38 enodes)
17.796 * * [simplify]: iters left: 5 (191 enodes)
17.852 * * [simplify]: Extracting #0: cost 1 inf + 0
17.852 * * [simplify]: Extracting #1: cost 3 inf + 0
17.852 * * [simplify]: Extracting #2: cost 6 inf + 0
17.852 * * [simplify]: Extracting #3: cost 62 inf + 0
17.853 * * [simplify]: Extracting #4: cost 183 inf + 0
17.855 * * [simplify]: Extracting #5: cost 224 inf + 701
17.859 * * [simplify]: Extracting #6: cost 166 inf + 13650
17.877 * * [simplify]: Extracting #7: cost 60 inf + 48793
17.902 * * [simplify]: Extracting #8: cost 3 inf + 67325
17.915 * * [simplify]: Extracting #9: cost 0 inf + 70139
17.927 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))
17.927 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
17.927 * [simplify]: Simplifying (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
17.928 * * [simplify]: iters left: 6 (20 enodes)
17.932 * * [simplify]: iters left: 5 (93 enodes)
17.970 * * [simplify]: iters left: 4 (290 enodes)
18.167 * * [simplify]: Extracting #0: cost 1 inf + 0
18.167 * * [simplify]: Extracting #1: cost 3 inf + 0
18.167 * * [simplify]: Extracting #2: cost 73 inf + 0
18.168 * * [simplify]: Extracting #3: cost 387 inf + 0
18.174 * * [simplify]: Extracting #4: cost 401 inf + 31084
18.222 * * [simplify]: Extracting #5: cost 21 inf + 133320
18.273 * * [simplify]: Extracting #6: cost 0 inf + 140563
18.324 * [simplify]: Simplified to (sqrt (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))
18.325 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))
18.325 * * * * [progress]: [ 29 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
18.326 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
18.326 * * [simplify]: iters left: 6 (32 enodes)
18.344 * * [simplify]: iters left: 5 (155 enodes)
18.417 * * [simplify]: iters left: 4 (462 enodes)
18.682 * * [simplify]: Extracting #0: cost 1 inf + 0
18.682 * * [simplify]: Extracting #1: cost 3 inf + 0
18.682 * * [simplify]: Extracting #2: cost 20 inf + 0
18.683 * * [simplify]: Extracting #3: cost 284 inf + 0
18.686 * * [simplify]: Extracting #4: cost 671 inf + 1062
18.696 * * [simplify]: Extracting #5: cost 674 inf + 19261
18.723 * * [simplify]: Extracting #6: cost 467 inf + 69092
18.789 * * [simplify]: Extracting #7: cost 229 inf + 151560
18.864 * * [simplify]: Extracting #8: cost 17 inf + 250266
18.929 * * [simplify]: Extracting #9: cost 0 inf + 259619
19.007 * [simplify]: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2)))))
19.007 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
19.008 * [simplify]: Simplifying (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))
19.008 * * [simplify]: iters left: 6 (15 enodes)
19.015 * * [simplify]: iters left: 5 (71 enodes)
19.042 * * [simplify]: iters left: 4 (220 enodes)
19.163 * * [simplify]: Extracting #0: cost 1 inf + 0
19.163 * * [simplify]: Extracting #1: cost 3 inf + 0
19.163 * * [simplify]: Extracting #2: cost 47 inf + 0
19.164 * * [simplify]: Extracting #3: cost 231 inf + 0
19.168 * * [simplify]: Extracting #4: cost 295 inf + 8144
19.194 * * [simplify]: Extracting #5: cost 21 inf + 66926
19.227 * * [simplify]: Extracting #6: cost 0 inf + 71672
19.250 * [simplify]: Simplified to (sqrt (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))
19.250 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ lambda1 lambda2))))) (sqrt (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))))))
19.250 * * * * [progress]: [ 30 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
19.251 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
19.251 * * [simplify]: iters left: 6 (37 enodes)
19.262 * * [simplify]: iters left: 5 (183 enodes)
19.318 * * [simplify]: Extracting #0: cost 1 inf + 0
19.318 * * [simplify]: Extracting #1: cost 3 inf + 0
19.318 * * [simplify]: Extracting #2: cost 10 inf + 0
19.318 * * [simplify]: Extracting #3: cost 78 inf + 0
19.319 * * [simplify]: Extracting #4: cost 172 inf + 1
19.319 * * [simplify]: Extracting #5: cost 198 inf + 742
19.321 * * [simplify]: Extracting #6: cost 147 inf + 9265
19.327 * * [simplify]: Extracting #7: cost 54 inf + 39624
19.337 * * [simplify]: Extracting #8: cost 8 inf + 59667
19.350 * * [simplify]: Extracting #9: cost 1 inf + 64374
19.362 * * [simplify]: Extracting #10: cost 0 inf + 65559
19.374 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))
19.374 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
19.374 * [simplify]: Simplifying (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
19.375 * * [simplify]: iters left: 6 (18 enodes)
19.379 * * [simplify]: iters left: 5 (84 enodes)
19.406 * * [simplify]: iters left: 4 (255 enodes)
19.611 * * [simplify]: Extracting #0: cost 1 inf + 0
19.611 * * [simplify]: Extracting #1: cost 3 inf + 0
19.612 * * [simplify]: Extracting #2: cost 58 inf + 0
19.614 * * [simplify]: Extracting #3: cost 319 inf + 0
19.619 * * [simplify]: Extracting #4: cost 387 inf + 10598
19.636 * * [simplify]: Extracting #5: cost 134 inf + 64990
19.657 * * [simplify]: Extracting #6: cost 3 inf + 100383
19.692 * * [simplify]: Extracting #7: cost 0 inf + 99275
19.717 * [simplify]: Simplified to (sqrt (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))
19.717 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (sqrt (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))))))
19.718 * * * * [progress]: [ 31 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))))))>
19.718 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
19.718 * * [simplify]: iters left: 6 (32 enodes)
19.727 * * [simplify]: iters left: 5 (155 enodes)
19.767 * * [simplify]: iters left: 4 (455 enodes)
20.096 * * [simplify]: Extracting #0: cost 1 inf + 0
20.096 * * [simplify]: Extracting #1: cost 3 inf + 0
20.096 * * [simplify]: Extracting #2: cost 14 inf + 0
20.096 * * [simplify]: Extracting #3: cost 233 inf + 0
20.098 * * [simplify]: Extracting #4: cost 604 inf + 127
20.105 * * [simplify]: Extracting #5: cost 628 inf + 25142
20.124 * * [simplify]: Extracting #6: cost 368 inf + 88731
20.183 * * [simplify]: Extracting #7: cost 199 inf + 150808
20.232 * * [simplify]: Extracting #8: cost 17 inf + 232909
20.291 * * [simplify]: Extracting #9: cost 0 inf + 241786
20.349 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))))
20.349 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))))))
20.350 * [simplify]: Simplifying (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))
20.350 * * [simplify]: iters left: 6 (14 enodes)
20.357 * * [simplify]: iters left: 5 (66 enodes)
20.385 * * [simplify]: iters left: 4 (198 enodes)
20.534 * * [simplify]: Extracting #0: cost 1 inf + 0
20.534 * * [simplify]: Extracting #1: cost 3 inf + 0
20.534 * * [simplify]: Extracting #2: cost 49 inf + 0
20.535 * * [simplify]: Extracting #3: cost 214 inf + 0
20.540 * * [simplify]: Extracting #4: cost 214 inf + 8115
20.558 * * [simplify]: Extracting #5: cost 14 inf + 42955
20.578 * * [simplify]: Extracting #6: cost 0 inf + 45919
20.599 * * [simplify]: Extracting #7: cost 0 inf + 45879
20.618 * [simplify]: Simplified to (sqrt (* (+ phi2 phi1) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))
20.618 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (* (+ phi2 phi1) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))))))
20.618 * * * * [progress]: [ 32 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
20.618 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
20.618 * * [simplify]: iters left: 6 (37 enodes)
20.629 * * [simplify]: iters left: 5 (183 enodes)
20.687 * * [simplify]: Extracting #0: cost 1 inf + 0
20.687 * * [simplify]: Extracting #1: cost 3 inf + 0
20.687 * * [simplify]: Extracting #2: cost 10 inf + 0
20.687 * * [simplify]: Extracting #3: cost 78 inf + 0
20.688 * * [simplify]: Extracting #4: cost 172 inf + 1
20.689 * * [simplify]: Extracting #5: cost 198 inf + 663
20.693 * * [simplify]: Extracting #6: cost 142 inf + 10199
20.711 * * [simplify]: Extracting #7: cost 39 inf + 47914
20.733 * * [simplify]: Extracting #8: cost 3 inf + 65030
20.757 * * [simplify]: Extracting #9: cost 0 inf + 66399
20.780 * * [simplify]: Extracting #10: cost 0 inf + 66359
20.804 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))
20.804 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
20.804 * [simplify]: Simplifying (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
20.805 * * [simplify]: iters left: 6 (18 enodes)
20.813 * * [simplify]: iters left: 5 (84 enodes)
20.844 * * [simplify]: iters left: 4 (255 enodes)
21.006 * * [simplify]: Extracting #0: cost 1 inf + 0
21.007 * * [simplify]: Extracting #1: cost 3 inf + 0
21.007 * * [simplify]: Extracting #2: cost 58 inf + 0
21.007 * * [simplify]: Extracting #3: cost 319 inf + 0
21.010 * * [simplify]: Extracting #4: cost 387 inf + 10598
21.024 * * [simplify]: Extracting #5: cost 134 inf + 64990
21.060 * * [simplify]: Extracting #6: cost 3 inf + 100383
21.098 * * [simplify]: Extracting #7: cost 0 inf + 99275
21.127 * [simplify]: Simplified to (sqrt (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))
21.127 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (sqrt (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))))))
21.127 * * * * [progress]: [ 33 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))))))>
21.128 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
21.128 * * [simplify]: iters left: 6 (32 enodes)
21.144 * * [simplify]: iters left: 5 (155 enodes)
21.182 * * [simplify]: iters left: 4 (455 enodes)
21.481 * * [simplify]: Extracting #0: cost 1 inf + 0
21.481 * * [simplify]: Extracting #1: cost 3 inf + 0
21.481 * * [simplify]: Extracting #2: cost 14 inf + 0
21.481 * * [simplify]: Extracting #3: cost 227 inf + 0
21.492 * * [simplify]: Extracting #4: cost 609 inf + 44
21.502 * * [simplify]: Extracting #5: cost 658 inf + 17602
21.532 * * [simplify]: Extracting #6: cost 400 inf + 80815
21.591 * * [simplify]: Extracting #7: cost 206 inf + 148013
21.661 * * [simplify]: Extracting #8: cost 18 inf + 234269
21.755 * * [simplify]: Extracting #9: cost 0 inf + 242083
21.818 * [simplify]: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))))
21.818 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))))))
21.818 * [simplify]: Simplifying (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))
21.819 * * [simplify]: iters left: 6 (14 enodes)
21.825 * * [simplify]: iters left: 5 (66 enodes)
21.845 * * [simplify]: iters left: 4 (198 enodes)
21.933 * * [simplify]: Extracting #0: cost 1 inf + 0
21.933 * * [simplify]: Extracting #1: cost 3 inf + 0
21.933 * * [simplify]: Extracting #2: cost 49 inf + 0
21.934 * * [simplify]: Extracting #3: cost 214 inf + 0
21.935 * * [simplify]: Extracting #4: cost 214 inf + 8115
21.944 * * [simplify]: Extracting #5: cost 14 inf + 42955
21.957 * * [simplify]: Extracting #6: cost 0 inf + 45919
21.977 * * [simplify]: Extracting #7: cost 0 inf + 45879
21.997 * [simplify]: Simplified to (sqrt (* (+ phi2 phi1) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))
21.997 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (+ phi1 phi2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) (sqrt (* (+ phi2 phi1) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))))))
21.998 * * * * [progress]: [ 34 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
21.998 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
21.999 * * [simplify]: iters left: 6 (30 enodes)
22.016 * * [simplify]: iters left: 5 (149 enodes)
22.056 * * [simplify]: iters left: 4 (490 enodes)
22.435 * * [simplify]: Extracting #0: cost 1 inf + 0
22.435 * * [simplify]: Extracting #1: cost 3 inf + 0
22.435 * * [simplify]: Extracting #2: cost 24 inf + 0
22.445 * * [simplify]: Extracting #3: cost 331 inf + 0
22.451 * * [simplify]: Extracting #4: cost 925 inf + 2236
22.474 * * [simplify]: Extracting #5: cost 794 inf + 50286
22.505 * * [simplify]: Extracting #6: cost 543 inf + 120259
22.543 * * [simplify]: Extracting #7: cost 354 inf + 194705
22.618 * * [simplify]: Extracting #8: cost 26 inf + 345467
22.700 * * [simplify]: Extracting #9: cost 0 inf + 359035
22.792 * * [simplify]: Extracting #10: cost 0 inf + 358875
22.876 * [simplify]: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)))))
22.876 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
22.877 * [simplify]: Simplifying (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
22.877 * * [simplify]: iters left: 6 (14 enodes)
22.880 * * [simplify]: iters left: 5 (69 enodes)
22.895 * * [simplify]: iters left: 4 (255 enodes)
23.081 * * [simplify]: Extracting #0: cost 1 inf + 0
23.081 * * [simplify]: Extracting #1: cost 4 inf + 0
23.081 * * [simplify]: Extracting #2: cost 55 inf + 0
23.084 * * [simplify]: Extracting #3: cost 306 inf + 0
23.088 * * [simplify]: Extracting #4: cost 393 inf + 13194
23.103 * * [simplify]: Extracting #5: cost 122 inf + 78670
23.146 * * [simplify]: Extracting #6: cost 0 inf + 108905
23.172 * * [simplify]: Extracting #7: cost 0 inf + 105185
23.211 * * [simplify]: Extracting #8: cost 0 inf + 105145
23.245 * [simplify]: Simplified to (fabs (* (+ lambda2 lambda1) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))
23.245 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2))))) (fabs (* (+ lambda2 lambda1) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))))))
23.245 * * * * [progress]: [ 35 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
23.245 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
23.245 * * [simplify]: iters left: 6 (31 enodes)
23.254 * * [simplify]: iters left: 5 (154 enodes)
23.302 * * [simplify]: iters left: 4 (484 enodes)
23.679 * * [simplify]: Extracting #0: cost 1 inf + 0
23.679 * * [simplify]: Extracting #1: cost 3 inf + 0
23.679 * * [simplify]: Extracting #2: cost 20 inf + 0
23.680 * * [simplify]: Extracting #3: cost 331 inf + 0
23.683 * * [simplify]: Extracting #4: cost 822 inf + 253
23.689 * * [simplify]: Extracting #5: cost 905 inf + 17938
23.707 * * [simplify]: Extracting #6: cost 590 inf + 95394
23.777 * * [simplify]: Extracting #7: cost 310 inf + 194967
23.869 * * [simplify]: Extracting #8: cost 23 inf + 327358
23.955 * * [simplify]: Extracting #9: cost 0 inf + 337160
24.067 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))
24.067 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
24.068 * [simplify]: Simplifying (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
24.068 * * [simplify]: iters left: 6 (15 enodes)
24.076 * * [simplify]: iters left: 5 (71 enodes)
24.093 * * [simplify]: iters left: 4 (228 enodes)
24.206 * * [simplify]: Extracting #0: cost 1 inf + 0
24.206 * * [simplify]: Extracting #1: cost 3 inf + 0
24.206 * * [simplify]: Extracting #2: cost 53 inf + 0
24.207 * * [simplify]: Extracting #3: cost 283 inf + 0
24.209 * * [simplify]: Extracting #4: cost 302 inf + 11096
24.224 * * [simplify]: Extracting #5: cost 48 inf + 70330
24.251 * * [simplify]: Extracting #6: cost 0 inf + 77227
24.276 * * [simplify]: Extracting #7: cost 0 inf + 77107
24.293 * [simplify]: Simplified to (sqrt (* (* (+ lambda2 lambda1) (* (+ phi2 phi1) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))
24.293 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (sqrt (* (* (+ lambda2 lambda1) (* (+ phi2 phi1) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))))))
24.294 * * * * [progress]: [ 36 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
24.294 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
24.294 * * [simplify]: iters left: 6 (31 enodes)
24.311 * * [simplify]: iters left: 5 (154 enodes)
24.353 * * [simplify]: iters left: 4 (482 enodes)
24.686 * * [simplify]: Extracting #0: cost 1 inf + 0
24.686 * * [simplify]: Extracting #1: cost 3 inf + 0
24.686 * * [simplify]: Extracting #2: cost 24 inf + 0
24.687 * * [simplify]: Extracting #3: cost 370 inf + 0
24.692 * * [simplify]: Extracting #4: cost 837 inf + 1477
24.721 * * [simplify]: Extracting #5: cost 703 inf + 55610
24.764 * * [simplify]: Extracting #6: cost 467 inf + 121953
24.829 * * [simplify]: Extracting #7: cost 298 inf + 180615
24.944 * * [simplify]: Extracting #8: cost 16 inf + 305748
25.072 * * [simplify]: Extracting #9: cost 0 inf + 312708
25.151 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))
25.151 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
25.151 * [simplify]: Simplifying (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
25.151 * * [simplify]: iters left: 6 (15 enodes)
25.155 * * [simplify]: iters left: 5 (71 enodes)
25.175 * * [simplify]: iters left: 4 (226 enodes)
25.335 * * [simplify]: Extracting #0: cost 1 inf + 0
25.335 * * [simplify]: Extracting #1: cost 3 inf + 0
25.335 * * [simplify]: Extracting #2: cost 46 inf + 0
25.336 * * [simplify]: Extracting #3: cost 273 inf + 0
25.342 * * [simplify]: Extracting #4: cost 266 inf + 12709
25.355 * * [simplify]: Extracting #5: cost 15 inf + 65965
25.371 * * [simplify]: Extracting #6: cost 0 inf + 69703
25.401 * [simplify]: Simplified to (sqrt (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (+ phi2 phi1)))
25.402 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (sqrt (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (+ phi2 phi1))))))
25.402 * * * * [progress]: [ 37 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
25.402 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
25.402 * * [simplify]: iters left: 6 (24 enodes)
25.409 * * [simplify]: iters left: 5 (117 enodes)
25.438 * * [simplify]: iters left: 4 (388 enodes)
25.706 * * [simplify]: Extracting #0: cost 1 inf + 0
25.706 * * [simplify]: Extracting #1: cost 3 inf + 0
25.706 * * [simplify]: Extracting #2: cost 20 inf + 0
25.707 * * [simplify]: Extracting #3: cost 248 inf + 0
25.711 * * [simplify]: Extracting #4: cost 637 inf + 1109
25.724 * * [simplify]: Extracting #5: cost 543 inf + 29814
25.754 * * [simplify]: Extracting #6: cost 351 inf + 68571
25.787 * * [simplify]: Extracting #7: cost 204 inf + 114827
25.836 * * [simplify]: Extracting #8: cost 4 inf + 186254
25.905 * * [simplify]: Extracting #9: cost 0 inf + 187994
25.968 * * [simplify]: Extracting #10: cost 0 inf + 187954
26.032 * [simplify]: Simplified to (sqrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)))))
26.032 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))))))
26.033 * [simplify]: Simplifying (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))
26.033 * * [simplify]: iters left: 6 (10 enodes)
26.036 * * [simplify]: iters left: 5 (51 enodes)
26.047 * * [simplify]: iters left: 4 (174 enodes)
26.128 * * [simplify]: Extracting #0: cost 1 inf + 0
26.129 * * [simplify]: Extracting #1: cost 4 inf + 0
26.129 * * [simplify]: Extracting #2: cost 34 inf + 0
26.129 * * [simplify]: Extracting #3: cost 154 inf + 0
26.130 * * [simplify]: Extracting #4: cost 166 inf + 2748
26.134 * * [simplify]: Extracting #5: cost 36 inf + 21189
26.141 * * [simplify]: Extracting #6: cost 0 inf + 26616
26.153 * * [simplify]: Extracting #7: cost 0 inf + 26576
26.165 * [simplify]: Simplified to (fabs (* (+ phi2 phi1) (+ lambda2 lambda1)))
26.165 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2))))) (fabs (* (+ phi2 phi1) (+ lambda2 lambda1))))))
26.165 * * * * [progress]: [ 38 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
26.166 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
26.166 * * [simplify]: iters left: 6 (30 enodes)
26.183 * * [simplify]: iters left: 5 (146 enodes)
26.246 * * [simplify]: iters left: 4 (429 enodes)
26.497 * * [simplify]: Extracting #0: cost 1 inf + 0
26.497 * * [simplify]: Extracting #1: cost 3 inf + 0
26.497 * * [simplify]: Extracting #2: cost 19 inf + 0
26.498 * * [simplify]: Extracting #3: cost 263 inf + 0
26.500 * * [simplify]: Extracting #4: cost 666 inf + 496
26.509 * * [simplify]: Extracting #5: cost 659 inf + 21500
26.537 * * [simplify]: Extracting #6: cost 422 inf + 79356
26.587 * * [simplify]: Extracting #7: cost 246 inf + 141225
26.657 * * [simplify]: Extracting #8: cost 21 inf + 232870
26.732 * * [simplify]: Extracting #9: cost 0 inf + 242552
26.810 * * [simplify]: Extracting #10: cost 0 inf + 242512
26.912 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ lambda1 lambda2)) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))))
26.912 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ lambda1 lambda2)) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
26.912 * [simplify]: Simplifying (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
26.913 * * [simplify]: iters left: 6 (13 enodes)
26.919 * * [simplify]: iters left: 5 (62 enodes)
26.944 * * [simplify]: iters left: 4 (189 enodes)
27.056 * * [simplify]: Extracting #0: cost 1 inf + 0
27.057 * * [simplify]: Extracting #1: cost 3 inf + 0
27.057 * * [simplify]: Extracting #2: cost 34 inf + 0
27.058 * * [simplify]: Extracting #3: cost 187 inf + 0
27.061 * * [simplify]: Extracting #4: cost 186 inf + 4415
27.073 * * [simplify]: Extracting #5: cost 13 inf + 32596
27.090 * * [simplify]: Extracting #6: cost 0 inf + 35203
27.102 * [simplify]: Simplified to (sqrt (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (+ lambda2 lambda1) (+ lambda2 lambda1))))
27.102 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ lambda1 lambda2)) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) (sqrt (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))
27.102 * * * * [progress]: [ 39 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))))))>
27.103 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
27.103 * * [simplify]: iters left: 6 (24 enodes)
27.110 * * [simplify]: iters left: 5 (113 enodes)
27.142 * * [simplify]: iters left: 4 (344 enodes)
27.321 * * [simplify]: Extracting #0: cost 1 inf + 0
27.322 * * [simplify]: Extracting #1: cost 3 inf + 0
27.322 * * [simplify]: Extracting #2: cost 14 inf + 0
27.322 * * [simplify]: Extracting #3: cost 204 inf + 0
27.323 * * [simplify]: Extracting #4: cost 514 inf + 371
27.328 * * [simplify]: Extracting #5: cost 469 inf + 22354
27.348 * * [simplify]: Extracting #6: cost 156 inf + 95639
27.395 * * [simplify]: Extracting #7: cost 5 inf + 153528
27.431 * * [simplify]: Extracting #8: cost 0 inf + 155251
27.467 * [simplify]: Simplified to (sqrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))))
27.467 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))))))
27.467 * [simplify]: Simplifying (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))
27.467 * * [simplify]: iters left: 6 (9 enodes)
27.469 * * [simplify]: iters left: 5 (44 enodes)
27.478 * * [simplify]: iters left: 4 (128 enodes)
27.516 * * [simplify]: iters left: 3 (428 enodes)
27.758 * * [simplify]: Extracting #0: cost 1 inf + 0
27.758 * * [simplify]: Extracting #1: cost 3 inf + 0
27.758 * * [simplify]: Extracting #2: cost 46 inf + 0
27.759 * * [simplify]: Extracting #3: cost 189 inf + 0
27.762 * * [simplify]: Extracting #4: cost 169 inf + 4710
27.775 * * [simplify]: Extracting #5: cost 31 inf + 27890
27.793 * * [simplify]: Extracting #6: cost 0 inf + 34165
27.813 * * [simplify]: Extracting #7: cost 0 inf + 33925
27.831 * [simplify]: Simplified to (sqrt (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (+ phi2 phi1)))
27.831 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (sqrt (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (+ phi2 phi1))))))
27.831 * * * * [progress]: [ 40 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
27.832 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
27.832 * * [simplify]: iters left: 6 (30 enodes)
27.848 * * [simplify]: iters left: 5 (146 enodes)
27.894 * * [simplify]: iters left: 4 (429 enodes)
28.177 * * [simplify]: Extracting #0: cost 1 inf + 0
28.177 * * [simplify]: Extracting #1: cost 3 inf + 0
28.177 * * [simplify]: Extracting #2: cost 19 inf + 0
28.178 * * [simplify]: Extracting #3: cost 247 inf + 0
28.182 * * [simplify]: Extracting #4: cost 626 inf + 334
28.192 * * [simplify]: Extracting #5: cost 651 inf + 20467
28.227 * * [simplify]: Extracting #6: cost 432 inf + 70944
28.275 * * [simplify]: Extracting #7: cost 279 inf + 123539
28.357 * * [simplify]: Extracting #8: cost 20 inf + 231228
28.415 * * [simplify]: Extracting #9: cost 0 inf + 239725
28.475 * * [simplify]: Extracting #10: cost 0 inf + 239685
28.543 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))))
28.543 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- phi1 phi2) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
28.544 * [simplify]: Simplifying (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
28.544 * * [simplify]: iters left: 6 (13 enodes)
28.547 * * [simplify]: iters left: 5 (62 enodes)
28.561 * * [simplify]: iters left: 4 (189 enodes)
28.632 * * [simplify]: Extracting #0: cost 1 inf + 0
28.632 * * [simplify]: Extracting #1: cost 3 inf + 0
28.632 * * [simplify]: Extracting #2: cost 34 inf + 0
28.633 * * [simplify]: Extracting #3: cost 187 inf + 0
28.634 * * [simplify]: Extracting #4: cost 186 inf + 4415
28.640 * * [simplify]: Extracting #5: cost 13 inf + 32596
28.649 * * [simplify]: Extracting #6: cost 0 inf + 35203
28.664 * [simplify]: Simplified to (sqrt (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (+ lambda2 lambda1) (+ lambda2 lambda1))))
28.664 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- phi1 phi2) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ lambda1 lambda2)) (+ lambda1 lambda2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) (sqrt (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))
28.665 * * * * [progress]: [ 41 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))))))>
28.665 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
28.665 * * [simplify]: iters left: 6 (24 enodes)
28.679 * * [simplify]: iters left: 5 (113 enodes)
28.725 * * [simplify]: iters left: 4 (344 enodes)
28.944 * * [simplify]: Extracting #0: cost 1 inf + 0
28.944 * * [simplify]: Extracting #1: cost 3 inf + 0
28.944 * * [simplify]: Extracting #2: cost 14 inf + 0
28.945 * * [simplify]: Extracting #3: cost 202 inf + 0
28.947 * * [simplify]: Extracting #4: cost 514 inf + 615
28.952 * * [simplify]: Extracting #5: cost 460 inf + 23934
28.971 * * [simplify]: Extracting #6: cost 160 inf + 95598
29.029 * * [simplify]: Extracting #7: cost 7 inf + 152557
29.106 * * [simplify]: Extracting #8: cost 0 inf + 155369
29.173 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))))
29.173 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))))))
29.174 * [simplify]: Simplifying (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))
29.174 * * [simplify]: iters left: 6 (9 enodes)
29.178 * * [simplify]: iters left: 5 (44 enodes)
29.193 * * [simplify]: iters left: 4 (128 enodes)
29.229 * * [simplify]: iters left: 3 (428 enodes)
29.491 * * [simplify]: Extracting #0: cost 1 inf + 0
29.491 * * [simplify]: Extracting #1: cost 3 inf + 0
29.491 * * [simplify]: Extracting #2: cost 46 inf + 0
29.492 * * [simplify]: Extracting #3: cost 189 inf + 0
29.496 * * [simplify]: Extracting #4: cost 169 inf + 4710
29.508 * * [simplify]: Extracting #5: cost 31 inf + 27890
29.526 * * [simplify]: Extracting #6: cost 0 inf + 34165
29.543 * * [simplify]: Extracting #7: cost 0 inf + 33925
29.561 * [simplify]: Simplified to (sqrt (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (+ phi2 phi1)))
29.561 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (sqrt (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (+ phi2 phi1))))))
29.561 * * * * [progress]: [ 42 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
29.562 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
29.562 * * [simplify]: iters left: 6 (35 enodes)
29.575 * * [simplify]: iters left: 5 (165 enodes)
29.620 * * [simplify]: iters left: 4 (469 enodes)
30.029 * * [simplify]: Extracting #0: cost 1 inf + 0
30.029 * * [simplify]: Extracting #1: cost 3 inf + 0
30.029 * * [simplify]: Extracting #2: cost 30 inf + 0
30.030 * * [simplify]: Extracting #3: cost 323 inf + 0
30.035 * * [simplify]: Extracting #4: cost 776 inf + 782
30.053 * * [simplify]: Extracting #5: cost 687 inf + 50669
30.094 * * [simplify]: Extracting #6: cost 497 inf + 111740
30.159 * * [simplify]: Extracting #7: cost 205 inf + 251345
30.242 * * [simplify]: Extracting #8: cost 3 inf + 356997
30.341 * * [simplify]: Extracting #9: cost 0 inf + 359512
30.456 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))
30.456 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
30.456 * [simplify]: Simplifying (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
30.457 * * [simplify]: iters left: 6 (17 enodes)
30.461 * * [simplify]: iters left: 5 (74 enodes)
30.477 * * [simplify]: iters left: 4 (212 enodes)
30.612 * * [simplify]: Extracting #0: cost 1 inf + 0
30.612 * * [simplify]: Extracting #1: cost 3 inf + 0
30.612 * * [simplify]: Extracting #2: cost 31 inf + 0
30.613 * * [simplify]: Extracting #3: cost 243 inf + 0
30.618 * * [simplify]: Extracting #4: cost 358 inf + 7648
30.645 * * [simplify]: Extracting #5: cost 95 inf + 76153
30.674 * * [simplify]: Extracting #6: cost 1 inf + 99503
30.706 * * [simplify]: Extracting #7: cost 0 inf + 97867
30.740 * * [simplify]: Extracting #8: cost 0 inf + 97827
30.775 * [simplify]: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))
30.775 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
30.775 * * * * [progress]: [ 43 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
30.776 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
30.776 * * [simplify]: iters left: 6 (36 enodes)
30.786 * * [simplify]: iters left: 5 (174 enodes)
30.855 * * [simplify]: Extracting #0: cost 1 inf + 0
30.855 * * [simplify]: Extracting #1: cost 3 inf + 0
30.855 * * [simplify]: Extracting #2: cost 6 inf + 0
30.856 * * [simplify]: Extracting #3: cost 59 inf + 0
30.856 * * [simplify]: Extracting #4: cost 164 inf + 0
30.857 * * [simplify]: Extracting #5: cost 198 inf + 293
30.860 * * [simplify]: Extracting #6: cost 159 inf + 10851
30.869 * * [simplify]: Extracting #7: cost 65 inf + 44942
30.879 * * [simplify]: Extracting #8: cost 9 inf + 60296
30.892 * * [simplify]: Extracting #9: cost 1 inf + 65221
30.913 * * [simplify]: Extracting #10: cost 0 inf + 66406
30.928 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))))))
30.928 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
30.929 * [simplify]: Simplifying (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
30.929 * * [simplify]: iters left: 6 (18 enodes)
30.933 * * [simplify]: iters left: 5 (78 enodes)
30.947 * * [simplify]: iters left: 4 (207 enodes)
31.110 * * [simplify]: Extracting #0: cost 1 inf + 0
31.110 * * [simplify]: Extracting #1: cost 3 inf + 0
31.110 * * [simplify]: Extracting #2: cost 53 inf + 0
31.112 * * [simplify]: Extracting #3: cost 258 inf + 0
31.118 * * [simplify]: Extracting #4: cost 288 inf + 14329
31.146 * * [simplify]: Extracting #5: cost 46 inf + 76597
31.165 * * [simplify]: Extracting #6: cost 0 inf + 82755
31.192 * * [simplify]: Extracting #7: cost 0 inf + 82475
31.602 * [simplify]: Simplified to (sqrt (* (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))
31.602 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))
31.603 * * * * [progress]: [ 44 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
31.603 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
31.603 * * [simplify]: iters left: 6 (36 enodes)
31.612 * * [simplify]: iters left: 5 (174 enodes)
31.662 * * [simplify]: Extracting #0: cost 1 inf + 0
31.662 * * [simplify]: Extracting #1: cost 3 inf + 0
31.662 * * [simplify]: Extracting #2: cost 6 inf + 0
31.662 * * [simplify]: Extracting #3: cost 61 inf + 0
31.663 * * [simplify]: Extracting #4: cost 162 inf + 0
31.664 * * [simplify]: Extracting #5: cost 193 inf + 376
31.667 * * [simplify]: Extracting #6: cost 149 inf + 9037
31.681 * * [simplify]: Extracting #7: cost 43 inf + 44092
31.701 * * [simplify]: Extracting #8: cost 4 inf + 62497
31.724 * * [simplify]: Extracting #9: cost 0 inf + 64078
31.744 * * [simplify]: Extracting #10: cost 0 inf + 64038
31.763 * [simplify]: Simplified to (sqrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2))))))
31.763 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
31.764 * [simplify]: Simplifying (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
31.764 * * [simplify]: iters left: 6 (18 enodes)
31.768 * * [simplify]: iters left: 5 (78 enodes)
31.782 * * [simplify]: iters left: 4 (205 enodes)
31.891 * * [simplify]: Extracting #0: cost 1 inf + 0
31.891 * * [simplify]: Extracting #1: cost 3 inf + 0
31.891 * * [simplify]: Extracting #2: cost 47 inf + 0
31.895 * * [simplify]: Extracting #3: cost 245 inf + 0
31.900 * * [simplify]: Extracting #4: cost 243 inf + 14237
31.917 * * [simplify]: Extracting #5: cost 30 inf + 63313
31.933 * * [simplify]: Extracting #6: cost 0 inf + 70136
31.949 * * [simplify]: Extracting #7: cost 0 inf + 69856
31.973 * [simplify]: Simplified to (sqrt (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))
31.973 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (* (- phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))
31.974 * * * * [progress]: [ 45 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
31.974 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
31.975 * * [simplify]: iters left: 6 (30 enodes)
31.992 * * [simplify]: iters left: 5 (138 enodes)
32.028 * * [simplify]: iters left: 4 (379 enodes)
32.262 * * [simplify]: Extracting #0: cost 1 inf + 0
32.262 * * [simplify]: Extracting #1: cost 3 inf + 0
32.263 * * [simplify]: Extracting #2: cost 26 inf + 0
32.263 * * [simplify]: Extracting #3: cost 264 inf + 0
32.265 * * [simplify]: Extracting #4: cost 532 inf + 2420
32.271 * * [simplify]: Extracting #5: cost 460 inf + 30750
32.288 * * [simplify]: Extracting #6: cost 350 inf + 59206
32.319 * * [simplify]: Extracting #7: cost 202 inf + 110152
32.372 * * [simplify]: Extracting #8: cost 12 inf + 194243
32.454 * * [simplify]: Extracting #9: cost 0 inf + 201397
32.513 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))
32.513 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
32.513 * [simplify]: Simplifying (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))
32.514 * * [simplify]: iters left: 6 (13 enodes)
32.520 * * [simplify]: iters left: 5 (56 enodes)
32.538 * * [simplify]: iters left: 4 (137 enodes)
32.586 * * [simplify]: Extracting #0: cost 1 inf + 0
32.586 * * [simplify]: Extracting #1: cost 3 inf + 0
32.586 * * [simplify]: Extracting #2: cost 23 inf + 0
32.586 * * [simplify]: Extracting #3: cost 138 inf + 0
32.587 * * [simplify]: Extracting #4: cost 162 inf + 824
32.594 * * [simplify]: Extracting #5: cost 24 inf + 22803
32.606 * * [simplify]: Extracting #6: cost 1 inf + 27446
32.618 * * [simplify]: Extracting #7: cost 0 inf + 27690
32.631 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (+ phi1 phi2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))
32.631 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (sqrt (* (* (+ phi1 phi2) (+ phi1 phi2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
32.632 * * * * [progress]: [ 46 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
32.632 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
32.633 * * [simplify]: iters left: 6 (35 enodes)
32.649 * * [simplify]: iters left: 5 (166 enodes)
32.704 * * [simplify]: iters left: 4 (443 enodes)
32.958 * * [simplify]: Extracting #0: cost 1 inf + 0
32.958 * * [simplify]: Extracting #1: cost 3 inf + 0
32.959 * * [simplify]: Extracting #2: cost 24 inf + 0
32.960 * * [simplify]: Extracting #3: cost 282 inf + 0
32.963 * * [simplify]: Extracting #4: cost 577 inf + 827
32.971 * * [simplify]: Extracting #5: cost 641 inf + 12796
32.991 * * [simplify]: Extracting #6: cost 462 inf + 61370
33.029 * * [simplify]: Extracting #7: cost 207 inf + 166316
33.108 * * [simplify]: Extracting #8: cost 4 inf + 267027
33.174 * * [simplify]: Extracting #9: cost 0 inf + 270927
33.282 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))
33.282 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
33.282 * [simplify]: Simplifying (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
33.283 * * [simplify]: iters left: 6 (16 enodes)
33.290 * * [simplify]: iters left: 5 (69 enodes)
33.314 * * [simplify]: iters left: 4 (167 enodes)
33.382 * * [simplify]: Extracting #0: cost 1 inf + 0
33.382 * * [simplify]: Extracting #1: cost 3 inf + 0
33.382 * * [simplify]: Extracting #2: cost 42 inf + 0
33.383 * * [simplify]: Extracting #3: cost 192 inf + 0
33.386 * * [simplify]: Extracting #4: cost 165 inf + 8461
33.403 * * [simplify]: Extracting #5: cost 10 inf + 39679
33.421 * * [simplify]: Extracting #6: cost 0 inf + 39715
33.439 * [simplify]: Simplified to (sqrt (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))
33.439 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- phi1 phi2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))
33.440 * * * * [progress]: [ 47 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2))))))>
33.440 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
33.441 * * [simplify]: iters left: 6 (30 enodes)
33.456 * * [simplify]: iters left: 5 (138 enodes)
33.488 * * [simplify]: iters left: 4 (370 enodes)
33.696 * * [simplify]: Extracting #0: cost 1 inf + 0
33.696 * * [simplify]: Extracting #1: cost 3 inf + 0
33.696 * * [simplify]: Extracting #2: cost 19 inf + 0
33.696 * * [simplify]: Extracting #3: cost 235 inf + 0
33.698 * * [simplify]: Extracting #4: cost 438 inf + 1119
33.702 * * [simplify]: Extracting #5: cost 486 inf + 15698
33.723 * * [simplify]: Extracting #6: cost 212 inf + 90906
33.770 * * [simplify]: Extracting #7: cost 29 inf + 169628
33.815 * * [simplify]: Extracting #8: cost 12 inf + 177338
33.883 * * [simplify]: Extracting #9: cost 0 inf + 183311
33.929 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (- phi1 phi2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi1 phi2)) (- phi1 phi2)))))
33.929 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (- phi1 phi2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi1 phi2)) (- phi1 phi2))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2))))))
33.930 * [simplify]: Simplifying (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))
33.930 * * [simplify]: iters left: 6 (12 enodes)
33.935 * * [simplify]: iters left: 5 (51 enodes)
33.952 * * [simplify]: iters left: 4 (116 enodes)
34.006 * * [simplify]: iters left: 3 (348 enodes)
34.183 * * [simplify]: Extracting #0: cost 1 inf + 0
34.183 * * [simplify]: Extracting #1: cost 3 inf + 0
34.183 * * [simplify]: Extracting #2: cost 45 inf + 0
34.184 * * [simplify]: Extracting #3: cost 242 inf + 0
34.186 * * [simplify]: Extracting #4: cost 218 inf + 5547
34.194 * * [simplify]: Extracting #5: cost 45 inf + 43289
34.217 * * [simplify]: Extracting #6: cost 0 inf + 53826
34.243 * * [simplify]: Extracting #7: cost 0 inf + 53786
34.269 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))
34.269 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (- phi1 phi2) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ phi1 phi2)) (- phi1 phi2))))) (sqrt (* (+ phi1 phi2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
34.269 * * * * [progress]: [ 48 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
34.270 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
34.270 * * [simplify]: iters left: 6 (35 enodes)
34.292 * * [simplify]: iters left: 5 (166 enodes)
34.361 * * [simplify]: iters left: 4 (443 enodes)
34.643 * * [simplify]: Extracting #0: cost 1 inf + 0
34.643 * * [simplify]: Extracting #1: cost 3 inf + 0
34.643 * * [simplify]: Extracting #2: cost 24 inf + 0
34.644 * * [simplify]: Extracting #3: cost 266 inf + 0
34.646 * * [simplify]: Extracting #4: cost 536 inf + 991
34.650 * * [simplify]: Extracting #5: cost 627 inf + 15930
34.695 * * [simplify]: Extracting #6: cost 300 inf + 128169
34.759 * * [simplify]: Extracting #7: cost 94 inf + 221836
34.837 * * [simplify]: Extracting #8: cost 10 inf + 265097
34.923 * * [simplify]: Extracting #9: cost 0 inf + 270483
35.009 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))
35.010 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
35.010 * [simplify]: Simplifying (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
35.010 * * [simplify]: iters left: 6 (16 enodes)
35.016 * * [simplify]: iters left: 5 (69 enodes)
35.028 * * [simplify]: iters left: 4 (167 enodes)
35.095 * * [simplify]: Extracting #0: cost 1 inf + 0
35.095 * * [simplify]: Extracting #1: cost 3 inf + 0
35.095 * * [simplify]: Extracting #2: cost 42 inf + 0
35.095 * * [simplify]: Extracting #3: cost 192 inf + 0
35.098 * * [simplify]: Extracting #4: cost 165 inf + 8461
35.106 * * [simplify]: Extracting #5: cost 10 inf + 39679
35.118 * * [simplify]: Extracting #6: cost 0 inf + 39715
35.128 * [simplify]: Simplified to (sqrt (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))
35.128 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (sqrt (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))
35.128 * * * * [progress]: [ 49 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2))))))>
35.129 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
35.129 * * [simplify]: iters left: 6 (30 enodes)
35.137 * * [simplify]: iters left: 5 (138 enodes)
35.176 * * [simplify]: iters left: 4 (370 enodes)
35.383 * * [simplify]: Extracting #0: cost 1 inf + 0
35.384 * * [simplify]: Extracting #1: cost 3 inf + 0
35.384 * * [simplify]: Extracting #2: cost 19 inf + 0
35.384 * * [simplify]: Extracting #3: cost 232 inf + 0
35.387 * * [simplify]: Extracting #4: cost 439 inf + 1239
35.396 * * [simplify]: Extracting #5: cost 468 inf + 18938
35.423 * * [simplify]: Extracting #6: cost 220 inf + 86371
35.481 * * [simplify]: Extracting #7: cost 39 inf + 163790
35.528 * * [simplify]: Extracting #8: cost 11 inf + 177528
35.567 * * [simplify]: Extracting #9: cost 0 inf + 183055
35.611 * [simplify]: Simplified to (sqrt (+ (* (* (- lambda1 lambda2) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- phi1 phi2))))
35.611 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- lambda1 lambda2) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- phi1 phi2)))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2))))))
35.612 * [simplify]: Simplifying (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))
35.612 * * [simplify]: iters left: 6 (12 enodes)
35.615 * * [simplify]: iters left: 5 (51 enodes)
35.624 * * [simplify]: iters left: 4 (116 enodes)
35.651 * * [simplify]: iters left: 3 (348 enodes)
35.839 * * [simplify]: Extracting #0: cost 1 inf + 0
35.839 * * [simplify]: Extracting #1: cost 3 inf + 0
35.840 * * [simplify]: Extracting #2: cost 45 inf + 0
35.841 * * [simplify]: Extracting #3: cost 242 inf + 0
35.845 * * [simplify]: Extracting #4: cost 218 inf + 5547
35.854 * * [simplify]: Extracting #5: cost 45 inf + 43289
35.866 * * [simplify]: Extracting #6: cost 0 inf + 53826
35.885 * * [simplify]: Extracting #7: cost 0 inf + 53786
35.915 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))
35.915 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- lambda1 lambda2) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- phi1 phi2)))) (sqrt (* (+ phi1 phi2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
35.915 * * * * [progress]: [ 50 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
35.916 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
35.916 * * [simplify]: iters left: 6 (31 enodes)
35.924 * * [simplify]: iters left: 5 (140 enodes)
35.953 * * [simplify]: iters left: 4 (410 enodes)
36.243 * * [simplify]: Extracting #0: cost 1 inf + 0
36.243 * * [simplify]: Extracting #1: cost 3 inf + 0
36.243 * * [simplify]: Extracting #2: cost 26 inf + 0
36.244 * * [simplify]: Extracting #3: cost 282 inf + 0
36.248 * * [simplify]: Extracting #4: cost 736 inf + 1471
36.265 * * [simplify]: Extracting #5: cost 645 inf + 35049
36.296 * * [simplify]: Extracting #6: cost 470 inf + 81590
36.348 * * [simplify]: Extracting #7: cost 314 inf + 143034
36.456 * * [simplify]: Extracting #8: cost 31 inf + 271913
36.561 * * [simplify]: Extracting #9: cost 0 inf + 288207
36.642 * [simplify]: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cos (/ (+ phi1 phi2) 2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1)))))
36.642 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cos (/ (+ phi1 phi2) 2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))))) (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
36.643 * [simplify]: Simplifying (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
36.643 * * [simplify]: iters left: 6 (13 enodes)
36.649 * * [simplify]: iters left: 5 (56 enodes)
36.671 * * [simplify]: iters left: 4 (175 enodes)
36.756 * * [simplify]: Extracting #0: cost 1 inf + 0
36.756 * * [simplify]: Extracting #1: cost 3 inf + 0
36.756 * * [simplify]: Extracting #2: cost 24 inf + 0
36.756 * * [simplify]: Extracting #3: cost 178 inf + 0
36.757 * * [simplify]: Extracting #4: cost 275 inf + 659
36.764 * * [simplify]: Extracting #5: cost 128 inf + 29599
36.790 * * [simplify]: Extracting #6: cost 3 inf + 58981
36.818 * * [simplify]: Extracting #7: cost 0 inf + 56871
36.843 * * [simplify]: Extracting #8: cost 0 inf + 56791
36.857 * [simplify]: Simplified to (sqrt (* (+ lambda2 lambda1) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
36.857 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cos (/ (+ phi1 phi2) 2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ lambda2 lambda1))))) (sqrt (* (+ lambda2 lambda1) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
36.857 * * * * [progress]: [ 51 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
36.858 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
36.858 * * [simplify]: iters left: 6 (32 enodes)
36.867 * * [simplify]: iters left: 5 (149 enodes)
36.912 * * [simplify]: iters left: 4 (443 enodes)
37.281 * * [simplify]: Extracting #0: cost 1 inf + 0
37.281 * * [simplify]: Extracting #1: cost 3 inf + 0
37.281 * * [simplify]: Extracting #2: cost 22 inf + 0
37.282 * * [simplify]: Extracting #3: cost 281 inf + 0
37.286 * * [simplify]: Extracting #4: cost 718 inf + 627
37.297 * * [simplify]: Extracting #5: cost 775 inf + 18230
37.331 * * [simplify]: Extracting #6: cost 554 inf + 72089
37.378 * * [simplify]: Extracting #7: cost 363 inf + 136536
37.480 * * [simplify]: Extracting #8: cost 48 inf + 273546
37.604 * * [simplify]: Extracting #9: cost 0 inf + 295983
37.702 * * [simplify]: Extracting #10: cost 0 inf + 295903
37.778 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ phi1 phi2) (+ lambda2 lambda1)))) (* (+ phi1 phi2) (* (+ lambda2 lambda1) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))))
37.778 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ phi1 phi2) (+ lambda2 lambda1)))) (* (+ phi1 phi2) (* (+ lambda2 lambda1) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
37.779 * [simplify]: Simplifying (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
37.779 * * [simplify]: iters left: 6 (14 enodes)
37.782 * * [simplify]: iters left: 5 (60 enodes)
37.799 * * [simplify]: iters left: 4 (170 enodes)
37.892 * * [simplify]: Extracting #0: cost 1 inf + 0
37.893 * * [simplify]: Extracting #1: cost 3 inf + 0
37.893 * * [simplify]: Extracting #2: cost 48 inf + 0
37.893 * * [simplify]: Extracting #3: cost 185 inf + 0
37.895 * * [simplify]: Extracting #4: cost 185 inf + 9176
37.903 * * [simplify]: Extracting #5: cost 24 inf + 38604
37.913 * * [simplify]: Extracting #6: cost 0 inf + 42239
37.927 * [simplify]: Simplified to (sqrt (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (+ lambda2 lambda1)))
37.927 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (+ phi1 phi2) (+ lambda2 lambda1)))) (* (+ phi1 phi2) (* (+ lambda2 lambda1) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (+ lambda2 lambda1))))))
37.927 * * * * [progress]: [ 52 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
37.927 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
37.927 * * [simplify]: iters left: 6 (32 enodes)
37.936 * * [simplify]: iters left: 5 (149 enodes)
37.975 * * [simplify]: iters left: 4 (441 enodes)
38.312 * * [simplify]: Extracting #0: cost 1 inf + 0
38.312 * * [simplify]: Extracting #1: cost 3 inf + 0
38.312 * * [simplify]: Extracting #2: cost 26 inf + 0
38.313 * * [simplify]: Extracting #3: cost 318 inf + 0
38.315 * * [simplify]: Extracting #4: cost 741 inf + 1278
38.322 * * [simplify]: Extracting #5: cost 673 inf + 32150
38.347 * * [simplify]: Extracting #6: cost 477 inf + 79251
38.403 * * [simplify]: Extracting #7: cost 289 inf + 147640
38.481 * * [simplify]: Extracting #8: cost 33 inf + 259084
38.544 * * [simplify]: Extracting #9: cost 0 inf + 275949
38.622 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda2 lambda1))) (* (* (* (+ phi1 phi2) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi1 phi2) 2))))))
38.622 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda2 lambda1))) (* (* (* (+ phi1 phi2) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi1 phi2) 2)))))) (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
38.622 * [simplify]: Simplifying (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
38.622 * * [simplify]: iters left: 6 (14 enodes)
38.628 * * [simplify]: iters left: 5 (60 enodes)
38.647 * * [simplify]: iters left: 4 (168 enodes)
38.757 * * [simplify]: Extracting #0: cost 1 inf + 0
38.757 * * [simplify]: Extracting #1: cost 3 inf + 0
38.757 * * [simplify]: Extracting #2: cost 41 inf + 0
38.758 * * [simplify]: Extracting #3: cost 170 inf + 0
38.759 * * [simplify]: Extracting #4: cost 195 inf + 1120
38.762 * * [simplify]: Extracting #5: cost 82 inf + 18085
38.771 * * [simplify]: Extracting #6: cost 1 inf + 35288
38.780 * * [simplify]: Extracting #7: cost 0 inf + 35531
38.797 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (+ lambda2 lambda1)))
38.797 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda2 lambda1))) (* (* (* (+ phi1 phi2) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi1 phi2) 2)))))) (sqrt (* (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (+ lambda2 lambda1))))))
38.797 * * * * [progress]: [ 53 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
38.798 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
38.798 * * [simplify]: iters left: 6 (25 enodes)
38.809 * * [simplify]: iters left: 5 (108 enodes)
38.863 * * [simplify]: iters left: 4 (312 enodes)
39.079 * * [simplify]: Extracting #0: cost 1 inf + 0
39.079 * * [simplify]: Extracting #1: cost 3 inf + 0
39.079 * * [simplify]: Extracting #2: cost 22 inf + 0
39.079 * * [simplify]: Extracting #3: cost 220 inf + 0
39.081 * * [simplify]: Extracting #4: cost 524 inf + 1030
39.086 * * [simplify]: Extracting #5: cost 427 inf + 22801
39.110 * * [simplify]: Extracting #6: cost 192 inf + 85477
39.167 * * [simplify]: Extracting #7: cost 16 inf + 148950
39.213 * * [simplify]: Extracting #8: cost 0 inf + 155350
39.257 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
39.257 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2)))))))
39.258 * [simplify]: Simplifying (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))
39.258 * * [simplify]: iters left: 6 (9 enodes)
39.262 * * [simplify]: iters left: 5 (38 enodes)
39.276 * * [simplify]: iters left: 4 (100 enodes)
39.319 * * [simplify]: iters left: 3 (309 enodes)
39.506 * * [simplify]: Extracting #0: cost 1 inf + 0
39.506 * * [simplify]: Extracting #1: cost 3 inf + 0
39.506 * * [simplify]: Extracting #2: cost 55 inf + 0
39.507 * * [simplify]: Extracting #3: cost 179 inf + 0
39.509 * * [simplify]: Extracting #4: cost 185 inf + 1077
39.517 * * [simplify]: Extracting #5: cost 62 inf + 18440
39.531 * * [simplify]: Extracting #6: cost 3 inf + 27360
39.547 * * [simplify]: Extracting #7: cost 0 inf + 27890
39.562 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (+ phi1 phi2)) (+ lambda2 lambda1)))
39.562 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ lambda2 lambda1) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ phi1 phi2) (+ phi1 phi2)) (+ lambda2 lambda1))))))
39.562 * * * * [progress]: [ 54 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
39.563 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
39.563 * * [simplify]: iters left: 6 (31 enodes)
39.583 * * [simplify]: iters left: 5 (141 enodes)
39.637 * * [simplify]: iters left: 4 (384 enodes)
39.896 * * [simplify]: Extracting #0: cost 1 inf + 0
39.896 * * [simplify]: Extracting #1: cost 3 inf + 0
39.896 * * [simplify]: Extracting #2: cost 22 inf + 0
39.897 * * [simplify]: Extracting #3: cost 264 inf + 0
39.901 * * [simplify]: Extracting #4: cost 576 inf + 540
39.910 * * [simplify]: Extracting #5: cost 560 inf + 18060
39.929 * * [simplify]: Extracting #6: cost 408 inf + 52588
39.967 * * [simplify]: Extracting #7: cost 255 inf + 106848
40.053 * * [simplify]: Extracting #8: cost 8 inf + 209323
40.115 * * [simplify]: Extracting #9: cost 0 inf + 212641
40.176 * [simplify]: Simplified to (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ lambda2 lambda1))))
40.176 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ lambda2 lambda1)))) (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
40.177 * [simplify]: Simplifying (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
40.177 * * [simplify]: iters left: 6 (12 enodes)
40.182 * * [simplify]: iters left: 5 (51 enodes)
40.191 * * [simplify]: iters left: 4 (118 enodes)
40.218 * * [simplify]: iters left: 3 (333 enodes)
40.371 * * [simplify]: Extracting #0: cost 1 inf + 0
40.371 * * [simplify]: Extracting #1: cost 3 inf + 0
40.371 * * [simplify]: Extracting #2: cost 54 inf + 0
40.371 * * [simplify]: Extracting #3: cost 164 inf + 0
40.372 * * [simplify]: Extracting #4: cost 166 inf + 703
40.377 * * [simplify]: Extracting #5: cost 47 inf + 24929
40.385 * * [simplify]: Extracting #6: cost 0 inf + 34343
40.398 * * [simplify]: Extracting #7: cost 0 inf + 33743
40.415 * [simplify]: Simplified to (sqrt (* (+ lambda2 lambda1) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))
40.415 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ lambda2 lambda1)))) (sqrt (* (+ lambda2 lambda1) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))
40.415 * * * * [progress]: [ 55 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2))))))>
40.416 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
40.416 * * [simplify]: iters left: 6 (25 enodes)
40.429 * * [simplify]: iters left: 5 (108 enodes)
40.462 * * [simplify]: iters left: 4 (303 enodes)
40.647 * * [simplify]: Extracting #0: cost 1 inf + 0
40.647 * * [simplify]: Extracting #1: cost 3 inf + 0
40.648 * * [simplify]: Extracting #2: cost 16 inf + 0
40.648 * * [simplify]: Extracting #3: cost 201 inf + 0
40.651 * * [simplify]: Extracting #4: cost 408 inf + 1117
40.658 * * [simplify]: Extracting #5: cost 392 inf + 13772
40.676 * * [simplify]: Extracting #6: cost 188 inf + 58801
40.713 * * [simplify]: Extracting #7: cost 14 inf + 121394
40.744 * * [simplify]: Extracting #8: cost 0 inf + 127664
40.798 * * [simplify]: Extracting #9: cost 0 inf + 127584
40.839 * [simplify]: Simplified to (sqrt (+ (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (+ phi1 phi2)))) (* (+ lambda2 lambda1) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))))
40.839 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (+ phi1 phi2)))) (* (+ lambda2 lambda1) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2))))))
40.840 * [simplify]: Simplifying (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2)))
40.840 * * [simplify]: iters left: 5 (8 enodes)
40.841 * * [simplify]: iters left: 4 (33 enodes)
40.847 * * [simplify]: iters left: 3 (67 enodes)
40.862 * * [simplify]: iters left: 2 (131 enodes)
40.894 * * [simplify]: iters left: 1 (202 enodes)
40.934 * * [simplify]: Extracting #0: cost 1 inf + 0
40.934 * * [simplify]: Extracting #1: cost 3 inf + 0
40.934 * * [simplify]: Extracting #2: cost 20 inf + 0
40.935 * * [simplify]: Extracting #3: cost 40 inf + 0
40.935 * * [simplify]: Extracting #4: cost 33 inf + 171
40.936 * * [simplify]: Extracting #5: cost 8 inf + 2364
40.938 * * [simplify]: Extracting #6: cost 1 inf + 3432
40.940 * * [simplify]: Extracting #7: cost 0 inf + 3556
40.943 * [simplify]: Simplified to (sqrt (* (+ lambda2 lambda1) (+ phi1 phi2)))
40.943 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (+ phi1 phi2)))) (* (+ lambda2 lambda1) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (* (+ lambda2 lambda1) (+ phi1 phi2))))))
40.943 * * * * [progress]: [ 56 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
40.943 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
40.944 * * [simplify]: iters left: 6 (31 enodes)
40.959 * * [simplify]: iters left: 5 (141 enodes)
40.999 * * [simplify]: iters left: 4 (384 enodes)
41.276 * * [simplify]: Extracting #0: cost 1 inf + 0
41.276 * * [simplify]: Extracting #1: cost 3 inf + 0
41.277 * * [simplify]: Extracting #2: cost 22 inf + 0
41.277 * * [simplify]: Extracting #3: cost 248 inf + 0
41.281 * * [simplify]: Extracting #4: cost 539 inf + 459
41.289 * * [simplify]: Extracting #5: cost 568 inf + 16202
41.307 * * [simplify]: Extracting #6: cost 442 inf + 39815
41.344 * * [simplify]: Extracting #7: cost 267 inf + 103916
41.428 * * [simplify]: Extracting #8: cost 7 inf + 208659
41.487 * * [simplify]: Extracting #9: cost 0 inf + 211380
41.574 * [simplify]: Simplified to (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ lambda2 lambda1))))
41.574 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ lambda2 lambda1)))) (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
41.575 * [simplify]: Simplifying (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
41.575 * * [simplify]: iters left: 6 (12 enodes)
41.580 * * [simplify]: iters left: 5 (51 enodes)
41.599 * * [simplify]: iters left: 4 (118 enodes)
41.652 * * [simplify]: iters left: 3 (333 enodes)
41.768 * * [simplify]: Extracting #0: cost 1 inf + 0
41.768 * * [simplify]: Extracting #1: cost 3 inf + 0
41.768 * * [simplify]: Extracting #2: cost 54 inf + 0
41.769 * * [simplify]: Extracting #3: cost 164 inf + 0
41.770 * * [simplify]: Extracting #4: cost 166 inf + 703
41.779 * * [simplify]: Extracting #5: cost 47 inf + 24929
41.795 * * [simplify]: Extracting #6: cost 0 inf + 34343
41.811 * * [simplify]: Extracting #7: cost 0 inf + 33743
41.826 * [simplify]: Simplified to (sqrt (* (+ lambda2 lambda1) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))
41.826 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (+ lambda2 lambda1)))) (sqrt (* (+ lambda2 lambda1) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))
41.826 * * * * [progress]: [ 57 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2))))))>
41.827 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
41.827 * * [simplify]: iters left: 6 (25 enodes)
41.833 * * [simplify]: iters left: 5 (108 enodes)
41.856 * * [simplify]: iters left: 4 (303 enodes)
42.057 * * [simplify]: Extracting #0: cost 1 inf + 0
42.057 * * [simplify]: Extracting #1: cost 3 inf + 0
42.058 * * [simplify]: Extracting #2: cost 16 inf + 0
42.058 * * [simplify]: Extracting #3: cost 198 inf + 0
42.061 * * [simplify]: Extracting #4: cost 414 inf + 749
42.068 * * [simplify]: Extracting #5: cost 387 inf + 14998
42.091 * * [simplify]: Extracting #6: cost 181 inf + 62415
42.141 * * [simplify]: Extracting #7: cost 40 inf + 110466
42.196 * * [simplify]: Extracting #8: cost 0 inf + 127666
42.250 * [simplify]: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (+ phi1 phi2)) (* (+ lambda2 lambda1) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))))
42.250 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (+ phi1 phi2)) (* (+ lambda2 lambda1) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2))))))
42.251 * [simplify]: Simplifying (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2)))
42.251 * * [simplify]: iters left: 5 (8 enodes)
42.252 * * [simplify]: iters left: 4 (33 enodes)
42.258 * * [simplify]: iters left: 3 (67 enodes)
42.270 * * [simplify]: iters left: 2 (131 enodes)
42.286 * * [simplify]: iters left: 1 (202 enodes)
42.349 * * [simplify]: Extracting #0: cost 1 inf + 0
42.349 * * [simplify]: Extracting #1: cost 3 inf + 0
42.349 * * [simplify]: Extracting #2: cost 20 inf + 0
42.349 * * [simplify]: Extracting #3: cost 40 inf + 0
42.350 * * [simplify]: Extracting #4: cost 33 inf + 171
42.351 * * [simplify]: Extracting #5: cost 8 inf + 2364
42.353 * * [simplify]: Extracting #6: cost 1 inf + 3432
42.356 * * [simplify]: Extracting #7: cost 0 inf + 3556
42.359 * [simplify]: Simplified to (sqrt (* (+ lambda2 lambda1) (+ phi1 phi2)))
42.359 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (+ phi1 phi2)) (* (+ lambda2 lambda1) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (* (+ lambda2 lambda1) (+ phi1 phi2))))))
42.359 * * * * [progress]: [ 58 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
42.359 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
42.360 * * [simplify]: iters left: 6 (35 enodes)
42.380 * * [simplify]: iters left: 5 (165 enodes)
42.419 * * [simplify]: iters left: 4 (469 enodes)
42.763 * * [simplify]: Extracting #0: cost 1 inf + 0
42.763 * * [simplify]: Extracting #1: cost 3 inf + 0
42.763 * * [simplify]: Extracting #2: cost 30 inf + 0
42.764 * * [simplify]: Extracting #3: cost 325 inf + 0
42.767 * * [simplify]: Extracting #4: cost 777 inf + 538
42.772 * * [simplify]: Extracting #5: cost 757 inf + 19893
42.798 * * [simplify]: Extracting #6: cost 566 inf + 75120
42.823 * * [simplify]: Extracting #7: cost 421 inf + 126297
42.886 * * [simplify]: Extracting #8: cost 138 inf + 266388
43.006 * * [simplify]: Extracting #9: cost 4 inf + 343311
43.082 * * [simplify]: Extracting #10: cost 0 inf + 346451
43.206 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))
43.206 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
43.207 * [simplify]: Simplifying (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
43.207 * * [simplify]: iters left: 6 (17 enodes)
43.215 * * [simplify]: iters left: 5 (74 enodes)
43.230 * * [simplify]: iters left: 4 (212 enodes)
43.365 * * [simplify]: Extracting #0: cost 1 inf + 0
43.365 * * [simplify]: Extracting #1: cost 3 inf + 0
43.365 * * [simplify]: Extracting #2: cost 31 inf + 0
43.365 * * [simplify]: Extracting #3: cost 243 inf + 0
43.370 * * [simplify]: Extracting #4: cost 358 inf + 7648
43.390 * * [simplify]: Extracting #5: cost 95 inf + 76153
43.424 * * [simplify]: Extracting #6: cost 1 inf + 99503
43.458 * * [simplify]: Extracting #7: cost 0 inf + 97867
43.490 * * [simplify]: Extracting #8: cost 0 inf + 97827
43.515 * [simplify]: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))
43.515 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
43.515 * * * * [progress]: [ 59 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
43.515 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
43.516 * * [simplify]: iters left: 6 (36 enodes)
43.525 * * [simplify]: iters left: 5 (174 enodes)
43.564 * * [simplify]: Extracting #0: cost 1 inf + 0
43.564 * * [simplify]: Extracting #1: cost 3 inf + 0
43.565 * * [simplify]: Extracting #2: cost 6 inf + 0
43.565 * * [simplify]: Extracting #3: cost 59 inf + 0
43.565 * * [simplify]: Extracting #4: cost 166 inf + 0
43.566 * * [simplify]: Extracting #5: cost 211 inf + 44
43.569 * * [simplify]: Extracting #6: cost 168 inf + 13357
43.583 * * [simplify]: Extracting #7: cost 53 inf + 51438
43.605 * * [simplify]: Extracting #8: cost 7 inf + 60593
43.626 * * [simplify]: Extracting #9: cost 1 inf + 64261
43.648 * * [simplify]: Extracting #10: cost 0 inf + 65446
43.670 * [simplify]: Simplified to (sqrt (+ (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))))))
43.670 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
43.671 * [simplify]: Simplifying (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
43.671 * * [simplify]: iters left: 6 (18 enodes)
43.676 * * [simplify]: iters left: 5 (78 enodes)
43.691 * * [simplify]: iters left: 4 (207 enodes)
43.810 * * [simplify]: Extracting #0: cost 1 inf + 0
43.810 * * [simplify]: Extracting #1: cost 3 inf + 0
43.810 * * [simplify]: Extracting #2: cost 53 inf + 0
43.810 * * [simplify]: Extracting #3: cost 258 inf + 0
43.813 * * [simplify]: Extracting #4: cost 288 inf + 14329
43.828 * * [simplify]: Extracting #5: cost 46 inf + 76597
43.861 * * [simplify]: Extracting #6: cost 0 inf + 82755
43.900 * * [simplify]: Extracting #7: cost 0 inf + 82475
43.940 * [simplify]: Simplified to (sqrt (* (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))
43.940 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (sqrt (* (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))
43.941 * * * * [progress]: [ 60 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
43.942 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
43.943 * * [simplify]: iters left: 6 (36 enodes)
43.959 * * [simplify]: iters left: 5 (174 enodes)
44.008 * * [simplify]: Extracting #0: cost 1 inf + 0
44.008 * * [simplify]: Extracting #1: cost 3 inf + 0
44.008 * * [simplify]: Extracting #2: cost 6 inf + 0
44.008 * * [simplify]: Extracting #3: cost 61 inf + 0
44.009 * * [simplify]: Extracting #4: cost 164 inf + 0
44.010 * * [simplify]: Extracting #5: cost 207 inf + 44
44.012 * * [simplify]: Extracting #6: cost 170 inf + 9992
44.024 * * [simplify]: Extracting #7: cost 39 inf + 54211
44.045 * * [simplify]: Extracting #8: cost 4 inf + 62278
44.063 * * [simplify]: Extracting #9: cost 0 inf + 63118
44.082 * * [simplify]: Extracting #10: cost 0 inf + 63078
44.103 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))))))
44.103 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
44.104 * [simplify]: Simplifying (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
44.104 * * [simplify]: iters left: 6 (18 enodes)
44.113 * * [simplify]: iters left: 5 (78 enodes)
44.142 * * [simplify]: iters left: 4 (205 enodes)
44.263 * * [simplify]: Extracting #0: cost 1 inf + 0
44.263 * * [simplify]: Extracting #1: cost 3 inf + 0
44.263 * * [simplify]: Extracting #2: cost 47 inf + 0
44.264 * * [simplify]: Extracting #3: cost 245 inf + 0
44.267 * * [simplify]: Extracting #4: cost 243 inf + 14237
44.279 * * [simplify]: Extracting #5: cost 30 inf + 63313
44.296 * * [simplify]: Extracting #6: cost 0 inf + 70136
44.313 * * [simplify]: Extracting #7: cost 0 inf + 69856
44.349 * [simplify]: Simplified to (sqrt (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))
44.350 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (sqrt (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))
44.350 * * * * [progress]: [ 61 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
44.351 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
44.351 * * [simplify]: iters left: 6 (30 enodes)
44.370 * * [simplify]: iters left: 5 (138 enodes)
44.412 * * [simplify]: iters left: 4 (379 enodes)
44.616 * * [simplify]: Extracting #0: cost 1 inf + 0
44.616 * * [simplify]: Extracting #1: cost 3 inf + 0
44.616 * * [simplify]: Extracting #2: cost 26 inf + 0
44.617 * * [simplify]: Extracting #3: cost 263 inf + 0
44.619 * * [simplify]: Extracting #4: cost 542 inf + 744
44.626 * * [simplify]: Extracting #5: cost 523 inf + 11348
44.652 * * [simplify]: Extracting #6: cost 277 inf + 82625
44.693 * * [simplify]: Extracting #7: cost 35 inf + 177247
44.751 * * [simplify]: Extracting #8: cost 3 inf + 190758
44.804 * * [simplify]: Extracting #9: cost 0 inf + 192833
44.857 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ phi2 phi1) (+ phi2 phi1))) (* (- phi1 phi2) (- phi1 phi2)))))
44.857 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ phi2 phi1) (+ phi2 phi1))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
44.858 * [simplify]: Simplifying (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))
44.858 * * [simplify]: iters left: 6 (13 enodes)
44.861 * * [simplify]: iters left: 5 (56 enodes)
44.871 * * [simplify]: iters left: 4 (137 enodes)
44.922 * * [simplify]: Extracting #0: cost 1 inf + 0
44.922 * * [simplify]: Extracting #1: cost 3 inf + 0
44.922 * * [simplify]: Extracting #2: cost 23 inf + 0
44.922 * * [simplify]: Extracting #3: cost 138 inf + 0
44.923 * * [simplify]: Extracting #4: cost 162 inf + 824
44.927 * * [simplify]: Extracting #5: cost 24 inf + 22803
44.939 * * [simplify]: Extracting #6: cost 1 inf + 27446
44.954 * * [simplify]: Extracting #7: cost 0 inf + 27690
44.966 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (+ phi1 phi2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))
44.966 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (+ phi2 phi1) (+ phi2 phi1))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (* (* (+ phi1 phi2) (+ phi1 phi2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
44.967 * * * * [progress]: [ 62 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
44.967 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
44.968 * * [simplify]: iters left: 6 (35 enodes)
44.984 * * [simplify]: iters left: 5 (166 enodes)
45.029 * * [simplify]: iters left: 4 (443 enodes)
45.309 * * [simplify]: Extracting #0: cost 1 inf + 0
45.309 * * [simplify]: Extracting #1: cost 3 inf + 0
45.309 * * [simplify]: Extracting #2: cost 24 inf + 0
45.310 * * [simplify]: Extracting #3: cost 288 inf + 0
45.313 * * [simplify]: Extracting #4: cost 592 inf + 538
45.320 * * [simplify]: Extracting #5: cost 639 inf + 13930
45.345 * * [simplify]: Extracting #6: cost 310 inf + 118827
45.421 * * [simplify]: Extracting #7: cost 63 inf + 239511
45.520 * * [simplify]: Extracting #8: cost 1 inf + 269332
45.629 * * [simplify]: Extracting #9: cost 0 inf + 270477
45.739 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))
45.739 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
45.739 * [simplify]: Simplifying (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
45.740 * * [simplify]: iters left: 6 (16 enodes)
45.747 * * [simplify]: iters left: 5 (69 enodes)
45.772 * * [simplify]: iters left: 4 (167 enodes)
45.845 * * [simplify]: Extracting #0: cost 1 inf + 0
45.845 * * [simplify]: Extracting #1: cost 3 inf + 0
45.846 * * [simplify]: Extracting #2: cost 42 inf + 0
45.846 * * [simplify]: Extracting #3: cost 192 inf + 0
45.848 * * [simplify]: Extracting #4: cost 165 inf + 8461
45.865 * * [simplify]: Extracting #5: cost 10 inf + 39679
45.884 * * [simplify]: Extracting #6: cost 0 inf + 39715
45.897 * [simplify]: Simplified to (sqrt (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))
45.897 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (sqrt (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))
45.897 * * * * [progress]: [ 63 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2))))))>
45.898 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
45.898 * * [simplify]: iters left: 6 (30 enodes)
45.906 * * [simplify]: iters left: 5 (138 enodes)
45.943 * * [simplify]: iters left: 4 (370 enodes)
46.158 * * [simplify]: Extracting #0: cost 1 inf + 0
46.158 * * [simplify]: Extracting #1: cost 3 inf + 0
46.158 * * [simplify]: Extracting #2: cost 19 inf + 0
46.159 * * [simplify]: Extracting #3: cost 238 inf + 0
46.162 * * [simplify]: Extracting #4: cost 447 inf + 829
46.174 * * [simplify]: Extracting #5: cost 490 inf + 12845
46.205 * * [simplify]: Extracting #6: cost 214 inf + 89374
46.271 * * [simplify]: Extracting #7: cost 16 inf + 176117
46.324 * * [simplify]: Extracting #8: cost 0 inf + 182129
46.376 * [simplify]: Simplified to (sqrt (+ (* (* (- lambda1 lambda2) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))
46.376 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- lambda1 lambda2) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2))))))
46.376 * [simplify]: Simplifying (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))
46.377 * * [simplify]: iters left: 6 (12 enodes)
46.379 * * [simplify]: iters left: 5 (51 enodes)
46.389 * * [simplify]: iters left: 4 (116 enodes)
46.447 * * [simplify]: iters left: 3 (348 enodes)
46.642 * * [simplify]: Extracting #0: cost 1 inf + 0
46.642 * * [simplify]: Extracting #1: cost 3 inf + 0
46.642 * * [simplify]: Extracting #2: cost 45 inf + 0
46.643 * * [simplify]: Extracting #3: cost 242 inf + 0
46.647 * * [simplify]: Extracting #4: cost 218 inf + 5547
46.664 * * [simplify]: Extracting #5: cost 45 inf + 43289
46.689 * * [simplify]: Extracting #6: cost 0 inf + 53826
46.715 * * [simplify]: Extracting #7: cost 0 inf + 53786
46.729 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))
46.729 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- lambda1 lambda2) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (sqrt (* (+ phi1 phi2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
46.730 * * * * [progress]: [ 64 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
46.730 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
46.730 * * [simplify]: iters left: 6 (35 enodes)
46.740 * * [simplify]: iters left: 5 (166 enodes)
46.796 * * [simplify]: iters left: 4 (443 enodes)
47.070 * * [simplify]: Extracting #0: cost 1 inf + 0
47.070 * * [simplify]: Extracting #1: cost 3 inf + 0
47.070 * * [simplify]: Extracting #2: cost 24 inf + 0
47.070 * * [simplify]: Extracting #3: cost 272 inf + 0
47.072 * * [simplify]: Extracting #4: cost 549 inf + 867
47.076 * * [simplify]: Extracting #5: cost 641 inf + 11430
47.095 * * [simplify]: Extracting #6: cost 372 inf + 90223
47.146 * * [simplify]: Extracting #7: cost 124 inf + 199824
47.229 * * [simplify]: Extracting #8: cost 8 inf + 264067
47.294 * * [simplify]: Extracting #9: cost 0 inf + 269187
47.393 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))
47.393 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
47.394 * [simplify]: Simplifying (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
47.394 * * [simplify]: iters left: 6 (16 enodes)
47.401 * * [simplify]: iters left: 5 (69 enodes)
47.426 * * [simplify]: iters left: 4 (167 enodes)
47.524 * * [simplify]: Extracting #0: cost 1 inf + 0
47.524 * * [simplify]: Extracting #1: cost 3 inf + 0
47.524 * * [simplify]: Extracting #2: cost 42 inf + 0
47.525 * * [simplify]: Extracting #3: cost 192 inf + 0
47.529 * * [simplify]: Extracting #4: cost 165 inf + 8461
47.546 * * [simplify]: Extracting #5: cost 10 inf + 39679
47.560 * * [simplify]: Extracting #6: cost 0 inf + 39715
47.570 * [simplify]: Simplified to (sqrt (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))
47.570 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (sqrt (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))
47.570 * * * * [progress]: [ 65 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2))))))>
47.571 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
47.571 * * [simplify]: iters left: 6 (30 enodes)
47.580 * * [simplify]: iters left: 5 (138 enodes)
47.613 * * [simplify]: iters left: 4 (370 enodes)
47.838 * * [simplify]: Extracting #0: cost 1 inf + 0
47.838 * * [simplify]: Extracting #1: cost 3 inf + 0
47.838 * * [simplify]: Extracting #2: cost 19 inf + 0
47.839 * * [simplify]: Extracting #3: cost 235 inf + 0
47.841 * * [simplify]: Extracting #4: cost 448 inf + 746
47.850 * * [simplify]: Extracting #5: cost 454 inf + 19933
47.868 * * [simplify]: Extracting #6: cost 207 inf + 92031
47.926 * * [simplify]: Extracting #7: cost 15 inf + 175768
47.988 * * [simplify]: Extracting #8: cost 0 inf + 181793
48.045 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (+ phi2 phi1)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))) (- phi1 phi2))))
48.045 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (+ phi2 phi1)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))) (- phi1 phi2)))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2))))))
48.046 * [simplify]: Simplifying (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))
48.046 * * [simplify]: iters left: 6 (12 enodes)
48.052 * * [simplify]: iters left: 5 (51 enodes)
48.069 * * [simplify]: iters left: 4 (116 enodes)
48.122 * * [simplify]: iters left: 3 (348 enodes)
48.301 * * [simplify]: Extracting #0: cost 1 inf + 0
48.301 * * [simplify]: Extracting #1: cost 3 inf + 0
48.301 * * [simplify]: Extracting #2: cost 45 inf + 0
48.301 * * [simplify]: Extracting #3: cost 242 inf + 0
48.305 * * [simplify]: Extracting #4: cost 218 inf + 5547
48.323 * * [simplify]: Extracting #5: cost 45 inf + 43289
48.351 * * [simplify]: Extracting #6: cost 0 inf + 53826
48.378 * * [simplify]: Extracting #7: cost 0 inf + 53786
48.402 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))
48.403 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (+ phi2 phi1)) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))) (- phi1 phi2)))) (sqrt (* (+ phi1 phi2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
48.403 * * * * [progress]: [ 66 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
48.403 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
48.404 * * [simplify]: iters left: 6 (31 enodes)
48.421 * * [simplify]: iters left: 5 (140 enodes)
48.479 * * [simplify]: iters left: 4 (410 enodes)
48.704 * * [simplify]: Extracting #0: cost 1 inf + 0
48.704 * * [simplify]: Extracting #1: cost 3 inf + 0
48.704 * * [simplify]: Extracting #2: cost 26 inf + 0
48.704 * * [simplify]: Extracting #3: cost 299 inf + 0
48.707 * * [simplify]: Extracting #4: cost 756 inf + 539
48.713 * * [simplify]: Extracting #5: cost 698 inf + 23106
48.743 * * [simplify]: Extracting #6: cost 493 inf + 77057
48.796 * * [simplify]: Extracting #7: cost 345 inf + 129812
48.853 * * [simplify]: Extracting #8: cost 24 inf + 274385
48.966 * * [simplify]: Extracting #9: cost 0 inf + 286865
49.064 * * [simplify]: Extracting #10: cost 0 inf + 286785
49.151 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2)))))
49.152 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))))) (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
49.152 * [simplify]: Simplifying (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
49.152 * * [simplify]: iters left: 6 (13 enodes)
49.158 * * [simplify]: iters left: 5 (56 enodes)
49.181 * * [simplify]: iters left: 4 (175 enodes)
49.326 * * [simplify]: Extracting #0: cost 1 inf + 0
49.326 * * [simplify]: Extracting #1: cost 3 inf + 0
49.326 * * [simplify]: Extracting #2: cost 24 inf + 0
49.327 * * [simplify]: Extracting #3: cost 178 inf + 0
49.329 * * [simplify]: Extracting #4: cost 275 inf + 659
49.340 * * [simplify]: Extracting #5: cost 128 inf + 29599
49.359 * * [simplify]: Extracting #6: cost 3 inf + 58981
49.373 * * [simplify]: Extracting #7: cost 0 inf + 56871
49.392 * * [simplify]: Extracting #8: cost 0 inf + 56791
49.421 * [simplify]: Simplified to (sqrt (* (+ lambda2 lambda1) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
49.421 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (+ lambda1 lambda2))))) (sqrt (* (+ lambda2 lambda1) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
49.422 * * * * [progress]: [ 67 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
49.422 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
49.423 * * [simplify]: iters left: 6 (32 enodes)
49.440 * * [simplify]: iters left: 5 (149 enodes)
49.501 * * [simplify]: iters left: 4 (443 enodes)
49.843 * * [simplify]: Extracting #0: cost 1 inf + 0
49.843 * * [simplify]: Extracting #1: cost 3 inf + 0
49.843 * * [simplify]: Extracting #2: cost 22 inf + 0
49.844 * * [simplify]: Extracting #3: cost 297 inf + 0
49.846 * * [simplify]: Extracting #4: cost 725 inf + 212
49.851 * * [simplify]: Extracting #5: cost 794 inf + 13274
49.865 * * [simplify]: Extracting #6: cost 557 inf + 69631
49.910 * * [simplify]: Extracting #7: cost 327 inf + 152616
49.986 * * [simplify]: Extracting #8: cost 14 inf + 288682
50.113 * * [simplify]: Extracting #9: cost 0 inf + 291792
50.205 * * [simplify]: Extracting #10: cost 0 inf + 291752
50.311 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (* (+ phi1 phi2) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))
50.311 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (* (+ phi1 phi2) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
50.312 * [simplify]: Simplifying (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
50.312 * * [simplify]: iters left: 6 (14 enodes)
50.318 * * [simplify]: iters left: 5 (60 enodes)
50.340 * * [simplify]: iters left: 4 (170 enodes)
50.444 * * [simplify]: Extracting #0: cost 1 inf + 0
50.444 * * [simplify]: Extracting #1: cost 3 inf + 0
50.444 * * [simplify]: Extracting #2: cost 48 inf + 0
50.444 * * [simplify]: Extracting #3: cost 185 inf + 0
50.447 * * [simplify]: Extracting #4: cost 185 inf + 9176
50.459 * * [simplify]: Extracting #5: cost 24 inf + 38604
50.468 * * [simplify]: Extracting #6: cost 0 inf + 42239
50.479 * [simplify]: Simplified to (sqrt (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (+ lambda2 lambda1)))
50.479 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2)))) (+ lambda1 lambda2)) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (* (+ phi1 phi2) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (+ lambda2 lambda1))))))
50.479 * * * * [progress]: [ 68 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
50.480 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
50.480 * * [simplify]: iters left: 6 (32 enodes)
50.500 * * [simplify]: iters left: 5 (149 enodes)
50.564 * * [simplify]: iters left: 4 (441 enodes)
50.886 * * [simplify]: Extracting #0: cost 1 inf + 0
50.886 * * [simplify]: Extracting #1: cost 3 inf + 0
50.886 * * [simplify]: Extracting #2: cost 26 inf + 0
50.887 * * [simplify]: Extracting #3: cost 341 inf + 0
50.890 * * [simplify]: Extracting #4: cost 751 inf + 1605
50.897 * * [simplify]: Extracting #5: cost 680 inf + 34309
50.914 * * [simplify]: Extracting #6: cost 486 inf + 81626
50.966 * * [simplify]: Extracting #7: cost 311 inf + 143754
51.042 * * [simplify]: Extracting #8: cost 42 inf + 255509
51.158 * * [simplify]: Extracting #9: cost 0 inf + 272879
51.272 * * [simplify]: Extracting #10: cost 0 inf + 272839
51.359 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))) (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2)))))
51.359 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))) (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2))))) (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
51.359 * [simplify]: Simplifying (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
51.360 * * [simplify]: iters left: 6 (14 enodes)
51.363 * * [simplify]: iters left: 5 (60 enodes)
51.374 * * [simplify]: iters left: 4 (168 enodes)
51.465 * * [simplify]: Extracting #0: cost 1 inf + 0
51.466 * * [simplify]: Extracting #1: cost 3 inf + 0
51.466 * * [simplify]: Extracting #2: cost 41 inf + 0
51.466 * * [simplify]: Extracting #3: cost 170 inf + 0
51.467 * * [simplify]: Extracting #4: cost 195 inf + 1120
51.473 * * [simplify]: Extracting #5: cost 82 inf + 18085
51.480 * * [simplify]: Extracting #6: cost 1 inf + 35288
51.489 * * [simplify]: Extracting #7: cost 0 inf + 35531
51.500 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (+ lambda2 lambda1)))
51.500 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))) (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2))))) (sqrt (* (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (+ lambda2 lambda1))))))
51.501 * * * * [progress]: [ 69 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
51.501 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
51.502 * * [simplify]: iters left: 6 (25 enodes)
51.514 * * [simplify]: iters left: 5 (108 enodes)
51.545 * * [simplify]: iters left: 4 (312 enodes)
51.738 * * [simplify]: Extracting #0: cost 1 inf + 0
51.738 * * [simplify]: Extracting #1: cost 3 inf + 0
51.738 * * [simplify]: Extracting #2: cost 22 inf + 0
51.739 * * [simplify]: Extracting #3: cost 228 inf + 0
51.744 * * [simplify]: Extracting #4: cost 515 inf + 1477
51.749 * * [simplify]: Extracting #5: cost 424 inf + 21595
51.778 * * [simplify]: Extracting #6: cost 189 inf + 83464
51.824 * * [simplify]: Extracting #7: cost 3 inf + 149990
51.878 * * [simplify]: Extracting #8: cost 0 inf + 149585
51.921 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
51.921 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2)))))))
51.921 * [simplify]: Simplifying (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))
51.922 * * [simplify]: iters left: 6 (9 enodes)
51.926 * * [simplify]: iters left: 5 (38 enodes)
51.939 * * [simplify]: iters left: 4 (100 enodes)
51.977 * * [simplify]: iters left: 3 (309 enodes)
52.122 * * [simplify]: Extracting #0: cost 1 inf + 0
52.122 * * [simplify]: Extracting #1: cost 3 inf + 0
52.122 * * [simplify]: Extracting #2: cost 55 inf + 0
52.123 * * [simplify]: Extracting #3: cost 179 inf + 0
52.126 * * [simplify]: Extracting #4: cost 185 inf + 1077
52.132 * * [simplify]: Extracting #5: cost 62 inf + 18440
52.145 * * [simplify]: Extracting #6: cost 3 inf + 27360
52.158 * * [simplify]: Extracting #7: cost 0 inf + 27890
52.172 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (+ phi1 phi2)) (+ lambda2 lambda1)))
52.172 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ phi1 phi2) (+ phi1 phi2)) (+ lambda2 lambda1))))))
52.172 * * * * [progress]: [ 70 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
52.172 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
52.173 * * [simplify]: iters left: 6 (31 enodes)
52.187 * * [simplify]: iters left: 5 (141 enodes)
52.244 * * [simplify]: iters left: 4 (384 enodes)
52.504 * * [simplify]: Extracting #0: cost 1 inf + 0
52.504 * * [simplify]: Extracting #1: cost 3 inf + 0
52.504 * * [simplify]: Extracting #2: cost 22 inf + 0
52.505 * * [simplify]: Extracting #3: cost 276 inf + 0
52.508 * * [simplify]: Extracting #4: cost 582 inf + 910
52.519 * * [simplify]: Extracting #5: cost 558 inf + 19642
52.551 * * [simplify]: Extracting #6: cost 271 inf + 106372
52.602 * * [simplify]: Extracting #7: cost 9 inf + 209299
52.691 * * [simplify]: Extracting #8: cost 0 inf + 213578
52.766 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2))))
52.767 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
52.767 * [simplify]: Simplifying (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
52.767 * * [simplify]: iters left: 6 (12 enodes)
52.770 * * [simplify]: iters left: 5 (51 enodes)
52.780 * * [simplify]: iters left: 4 (118 enodes)
52.807 * * [simplify]: iters left: 3 (333 enodes)
52.927 * * [simplify]: Extracting #0: cost 1 inf + 0
52.928 * * [simplify]: Extracting #1: cost 3 inf + 0
52.928 * * [simplify]: Extracting #2: cost 54 inf + 0
52.928 * * [simplify]: Extracting #3: cost 164 inf + 0
52.930 * * [simplify]: Extracting #4: cost 166 inf + 703
52.938 * * [simplify]: Extracting #5: cost 47 inf + 24929
52.950 * * [simplify]: Extracting #6: cost 0 inf + 34343
52.958 * * [simplify]: Extracting #7: cost 0 inf + 33743
52.967 * [simplify]: Simplified to (sqrt (* (+ lambda2 lambda1) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))
52.967 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) (sqrt (* (+ lambda2 lambda1) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))
52.967 * * * * [progress]: [ 71 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2))))))>
52.967 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
52.968 * * [simplify]: iters left: 6 (25 enodes)
52.974 * * [simplify]: iters left: 5 (108 enodes)
52.994 * * [simplify]: iters left: 4 (303 enodes)
53.186 * * [simplify]: Extracting #0: cost 1 inf + 0
53.186 * * [simplify]: Extracting #1: cost 3 inf + 0
53.186 * * [simplify]: Extracting #2: cost 16 inf + 0
53.187 * * [simplify]: Extracting #3: cost 213 inf + 0
53.189 * * [simplify]: Extracting #4: cost 424 inf + 1159
53.196 * * [simplify]: Extracting #5: cost 381 inf + 16791
53.203 * * [simplify]: Extracting #6: cost 283 inf + 31892
53.216 * * [simplify]: Extracting #7: cost 175 inf + 67299
53.260 * * [simplify]: Extracting #8: cost 5 inf + 128635
53.320 * * [simplify]: Extracting #9: cost 0 inf + 130200
53.378 * * [simplify]: Extracting #10: cost 0 inf + 130160
53.434 * [simplify]: Simplified to (sqrt (+ (* (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)))))
53.434 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2))))))
53.435 * [simplify]: Simplifying (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2)))
53.435 * * [simplify]: iters left: 5 (8 enodes)
53.439 * * [simplify]: iters left: 4 (33 enodes)
53.450 * * [simplify]: iters left: 3 (67 enodes)
53.461 * * [simplify]: iters left: 2 (131 enodes)
53.479 * * [simplify]: iters left: 1 (202 enodes)
53.546 * * [simplify]: Extracting #0: cost 1 inf + 0
53.546 * * [simplify]: Extracting #1: cost 3 inf + 0
53.546 * * [simplify]: Extracting #2: cost 20 inf + 0
53.546 * * [simplify]: Extracting #3: cost 40 inf + 0
53.546 * * [simplify]: Extracting #4: cost 33 inf + 171
53.547 * * [simplify]: Extracting #5: cost 8 inf + 2364
53.549 * * [simplify]: Extracting #6: cost 1 inf + 3432
53.552 * * [simplify]: Extracting #7: cost 0 inf + 3556
53.554 * [simplify]: Simplified to (sqrt (* (+ lambda2 lambda1) (+ phi1 phi2)))
53.554 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) (sqrt (* (+ lambda2 lambda1) (+ phi1 phi2))))))
53.555 * * * * [progress]: [ 72 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
53.555 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
53.555 * * [simplify]: iters left: 6 (31 enodes)
53.565 * * [simplify]: iters left: 5 (141 enodes)
53.602 * * [simplify]: iters left: 4 (384 enodes)
54.178 * * [simplify]: Extracting #0: cost 1 inf + 0
54.178 * * [simplify]: Extracting #1: cost 3 inf + 0
54.178 * * [simplify]: Extracting #2: cost 22 inf + 0
54.179 * * [simplify]: Extracting #3: cost 260 inf + 0
54.181 * * [simplify]: Extracting #4: cost 549 inf + 500
54.187 * * [simplify]: Extracting #5: cost 568 inf + 16697
54.213 * * [simplify]: Extracting #6: cost 312 inf + 92055
54.277 * * [simplify]: Extracting #7: cost 21 inf + 206085
54.353 * * [simplify]: Extracting #8: cost 2 inf + 212650
54.428 * * [simplify]: Extracting #9: cost 0 inf + 213074
54.519 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2))))
54.519 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
54.520 * [simplify]: Simplifying (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
54.520 * * [simplify]: iters left: 6 (12 enodes)
54.523 * * [simplify]: iters left: 5 (51 enodes)
54.532 * * [simplify]: iters left: 4 (118 enodes)
54.566 * * [simplify]: iters left: 3 (333 enodes)
54.707 * * [simplify]: Extracting #0: cost 1 inf + 0
54.707 * * [simplify]: Extracting #1: cost 3 inf + 0
54.707 * * [simplify]: Extracting #2: cost 54 inf + 0
54.708 * * [simplify]: Extracting #3: cost 164 inf + 0
54.708 * * [simplify]: Extracting #4: cost 166 inf + 703
54.713 * * [simplify]: Extracting #5: cost 47 inf + 24929
54.721 * * [simplify]: Extracting #6: cost 0 inf + 34343
54.729 * * [simplify]: Extracting #7: cost 0 inf + 33743
54.742 * [simplify]: Simplified to (sqrt (* (+ lambda2 lambda1) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))
54.742 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (* (* phi1 phi1) phi1) (* phi2 (* phi2 phi2))) (- phi1 phi2)) (+ lambda1 lambda2)))) (sqrt (* (+ lambda2 lambda1) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))))
54.743 * * * * [progress]: [ 73 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2))))))>
54.743 * [simplify]: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
54.743 * * [simplify]: iters left: 6 (25 enodes)
54.753 * * [simplify]: iters left: 5 (108 enodes)
54.776 * * [simplify]: iters left: 4 (303 enodes)
54.949 * * [simplify]: Extracting #0: cost 1 inf + 0
54.949 * * [simplify]: Extracting #1: cost 3 inf + 0
54.949 * * [simplify]: Extracting #2: cost 16 inf + 0
54.950 * * [simplify]: Extracting #3: cost 209 inf + 0
54.951 * * [simplify]: Extracting #4: cost 428 inf + 502
54.955 * * [simplify]: Extracting #5: cost 395 inf + 14799
54.968 * * [simplify]: Extracting #6: cost 181 inf + 66662
55.008 * * [simplify]: Extracting #7: cost 8 inf + 127318
55.050 * * [simplify]: Extracting #8: cost 0 inf + 130238
55.087 * [simplify]: Simplified to (sqrt (+ (* (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)))))
55.087 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2))))))
55.088 * [simplify]: Simplifying (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2)))
55.088 * * [simplify]: iters left: 5 (8 enodes)
55.092 * * [simplify]: iters left: 4 (33 enodes)
55.098 * * [simplify]: iters left: 3 (67 enodes)
55.109 * * [simplify]: iters left: 2 (131 enodes)
55.128 * * [simplify]: iters left: 1 (202 enodes)
55.187 * * [simplify]: Extracting #0: cost 1 inf + 0
55.187 * * [simplify]: Extracting #1: cost 3 inf + 0
55.187 * * [simplify]: Extracting #2: cost 20 inf + 0
55.187 * * [simplify]: Extracting #3: cost 40 inf + 0
55.187 * * [simplify]: Extracting #4: cost 33 inf + 171
55.188 * * [simplify]: Extracting #5: cost 8 inf + 2364
55.189 * * [simplify]: Extracting #6: cost 1 inf + 3432
55.190 * * [simplify]: Extracting #7: cost 0 inf + 3556
55.191 * [simplify]: Simplified to (sqrt (* (+ lambda2 lambda1) (+ phi1 phi2)))
55.191 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) (sqrt (* (+ lambda2 lambda1) (+ phi1 phi2))))))
55.191 * * * * [progress]: [ 74 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))) (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))))>
55.192 * [simplify]: Simplifying (sqrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3)))
55.192 * * [simplify]: iters left: 6 (18 enodes)
55.197 * * [simplify]: iters left: 5 (84 enodes)
55.224 * * [simplify]: iters left: 4 (228 enodes)
55.354 * * [simplify]: Extracting #0: cost 1 inf + 0
55.354 * * [simplify]: Extracting #1: cost 3 inf + 0
55.354 * * [simplify]: Extracting #2: cost 6 inf + 0
55.354 * * [simplify]: Extracting #3: cost 73 inf + 0
55.355 * * [simplify]: Extracting #4: cost 265 inf + 2
55.356 * * [simplify]: Extracting #5: cost 286 inf + 1801
55.361 * * [simplify]: Extracting #6: cost 166 inf + 30220
55.392 * * [simplify]: Extracting #7: cost 30 inf + 75336
55.420 * * [simplify]: Extracting #8: cost 0 inf + 85497
55.450 * * [simplify]: Extracting #9: cost 0 inf + 85166
55.484 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))
55.484 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))))
55.485 * [simplify]: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))
55.485 * * [simplify]: iters left: 6 (19 enodes)
55.490 * * [simplify]: iters left: 5 (92 enodes)
55.517 * * [simplify]: iters left: 4 (308 enodes)
55.735 * * [simplify]: Extracting #0: cost 1 inf + 0
55.735 * * [simplify]: Extracting #1: cost 3 inf + 0
55.735 * * [simplify]: Extracting #2: cost 18 inf + 0
55.735 * * [simplify]: Extracting #3: cost 204 inf + 0
55.737 * * [simplify]: Extracting #4: cost 498 inf + 2
55.739 * * [simplify]: Extracting #5: cost 502 inf + 4006
55.758 * * [simplify]: Extracting #6: cost 236 inf + 76278
55.825 * * [simplify]: Extracting #7: cost 10 inf + 157144
55.901 * * [simplify]: Extracting #8: cost 0 inf + 160666
55.949 * [simplify]: Simplified to (sqrt (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))
55.949 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (- (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))))))
55.949 * * * * [progress]: [ 75 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))>
55.950 * [simplify]: Simplifying (sqrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2)))))
55.950 * * [simplify]: iters left: 6 (17 enodes)
55.954 * * [simplify]: iters left: 5 (77 enodes)
55.985 * * [simplify]: iters left: 4 (210 enodes)
56.125 * * [simplify]: Extracting #0: cost 1 inf + 0
56.125 * * [simplify]: Extracting #1: cost 3 inf + 0
56.125 * * [simplify]: Extracting #2: cost 25 inf + 0
56.125 * * [simplify]: Extracting #3: cost 107 inf + 0
56.126 * * [simplify]: Extracting #4: cost 254 inf + 44
56.129 * * [simplify]: Extracting #5: cost 259 inf + 2051
56.132 * * [simplify]: Extracting #6: cost 192 inf + 11834
56.138 * * [simplify]: Extracting #7: cost 126 inf + 29261
56.152 * * [simplify]: Extracting #8: cost 21 inf + 64729
56.170 * * [simplify]: Extracting #9: cost 0 inf + 72252
56.187 * [simplify]: Simplified to (sqrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2)))))
56.187 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))
56.187 * [simplify]: Simplifying (sqrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))
56.187 * * [simplify]: iters left: 6 (15 enodes)
56.191 * * [simplify]: iters left: 5 (63 enodes)
56.205 * * [simplify]: iters left: 4 (131 enodes)
56.266 * * [simplify]: iters left: 3 (416 enodes)
56.552 * * [simplify]: Extracting #0: cost 1 inf + 0
56.553 * * [simplify]: Extracting #1: cost 3 inf + 0
56.553 * * [simplify]: Extracting #2: cost 46 inf + 0
56.558 * * [simplify]: Extracting #3: cost 298 inf + 0
56.561 * * [simplify]: Extracting #4: cost 388 inf + 334
56.566 * * [simplify]: Extracting #5: cost 364 inf + 5702
56.581 * * [simplify]: Extracting #6: cost 203 inf + 49276
56.623 * * [simplify]: Extracting #7: cost 9 inf + 112920
56.671 * * [simplify]: Extracting #8: cost 0 inf + 116184
56.719 * [simplify]: Simplified to (sqrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))
56.719 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))
56.719 * * * * [progress]: [ 76 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (pow (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) (/ 1 2))))>
56.720 * [simplify]: Simplifying (/ 1 2)
56.720 * * [simplify]: iters left: 2 (3 enodes)
56.722 * * [simplify]: iters left: 1 (12 enodes)
56.725 * * [simplify]: Extracting #0: cost 1 inf + 0
56.725 * * [simplify]: Extracting #1: cost 0 inf + 1
56.725 * [simplify]: Simplified to 1/2
56.725 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (pow (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) 1/2)))
56.725 * * * * [progress]: [ 77 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))>
56.725 * [simplify]: Simplifying (sqrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))
56.725 * * [simplify]: iters left: 6 (16 enodes)
56.729 * * [simplify]: iters left: 5 (62 enodes)
56.739 * * [simplify]: iters left: 4 (111 enodes)
56.782 * * [simplify]: iters left: 3 (312 enodes)
56.954 * * [simplify]: Extracting #0: cost 1 inf + 0
56.954 * * [simplify]: Extracting #1: cost 3 inf + 0
56.954 * * [simplify]: Extracting #2: cost 5 inf + 0
56.954 * * [simplify]: Extracting #3: cost 21 inf + 0
56.955 * * [simplify]: Extracting #4: cost 139 inf + 0
56.956 * * [simplify]: Extracting #5: cost 199 inf + 44
56.959 * * [simplify]: Extracting #6: cost 199 inf + 1968
56.965 * * [simplify]: Extracting #7: cost 131 inf + 14187
56.980 * * [simplify]: Extracting #8: cost 26 inf + 45686
56.993 * * [simplify]: Extracting #9: cost 0 inf + 55895
57.008 * [simplify]: Simplified to (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))
57.008 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))
57.008 * [simplify]: Simplifying (sqrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))
57.008 * * [simplify]: iters left: 6 (16 enodes)
57.015 * * [simplify]: iters left: 5 (62 enodes)
57.029 * * [simplify]: iters left: 4 (111 enodes)
57.057 * * [simplify]: iters left: 3 (312 enodes)
57.193 * * [simplify]: Extracting #0: cost 1 inf + 0
57.193 * * [simplify]: Extracting #1: cost 3 inf + 0
57.193 * * [simplify]: Extracting #2: cost 5 inf + 0
57.193 * * [simplify]: Extracting #3: cost 21 inf + 0
57.194 * * [simplify]: Extracting #4: cost 139 inf + 0
57.195 * * [simplify]: Extracting #5: cost 199 inf + 44
57.197 * * [simplify]: Extracting #6: cost 199 inf + 1968
57.200 * * [simplify]: Extracting #7: cost 131 inf + 14187
57.209 * * [simplify]: Extracting #8: cost 26 inf + 45686
57.221 * * [simplify]: Extracting #9: cost 0 inf + 55895
57.234 * [simplify]: Simplified to (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))
57.235 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))))
57.235 * * * * [progress]: [ 78 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (fabs (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))>
57.235 * * * * [progress]: [ 79 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (* 1 (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))>
57.235 * * * * [progress]: [ 80 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (posit16->real (real->posit16 (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))>
57.235 * [simplify]: Simplifying (real->posit16 (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))
57.235 * * [simplify]: iters left: 6 (16 enodes)
57.242 * * [simplify]: iters left: 5 (59 enodes)
57.252 * * [simplify]: iters left: 4 (108 enodes)
57.278 * * [simplify]: iters left: 3 (309 enodes)
57.433 * * [simplify]: Extracting #0: cost 1 inf + 0
57.433 * * [simplify]: Extracting #1: cost 2 inf + 0
57.433 * * [simplify]: Extracting #2: cost 3 inf + 0
57.433 * * [simplify]: Extracting #3: cost 20 inf + 0
57.433 * * [simplify]: Extracting #4: cost 148 inf + 0
57.434 * * [simplify]: Extracting #5: cost 207 inf + 128
57.435 * * [simplify]: Extracting #6: cost 212 inf + 1685
57.438 * * [simplify]: Extracting #7: cost 141 inf + 15220
57.448 * * [simplify]: Extracting #8: cost 17 inf + 53338
57.461 * * [simplify]: Extracting #9: cost 0 inf + 58879
57.474 * [simplify]: Simplified to (real->posit16 (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))
57.474 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (posit16->real (real->posit16 (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))))
57.474 * * * * [progress]: [ 81 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (pow (cos (/ (+ phi1 phi2) 2)) 1))) (* (- phi1 phi2) (- phi1 phi2))))))>
57.475 * * * * [progress]: [ 82 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (exp (log (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))>
57.475 * [simplify]: Simplifying (log (cos (/ (+ phi1 phi2) 2)))
57.475 * * [simplify]: iters left: 6 (7 enodes)
57.477 * * [simplify]: iters left: 5 (22 enodes)
57.480 * * [simplify]: Extracting #0: cost 1 inf + 0
57.480 * * [simplify]: Extracting #1: cost 3 inf + 0
57.480 * * [simplify]: Extracting #2: cost 5 inf + 0
57.480 * * [simplify]: Extracting #3: cost 8 inf + 0
57.480 * * [simplify]: Extracting #4: cost 10 inf + 1
57.480 * * [simplify]: Extracting #5: cost 8 inf + 3
57.480 * * [simplify]: Extracting #6: cost 1 inf + 752
57.480 * * [simplify]: Extracting #7: cost 0 inf + 965
57.480 * [simplify]: Simplified to (log (cos (/ (+ phi2 phi1) 2)))
57.480 * [simplify]: Simplified (2 2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (exp (log (cos (/ (+ phi2 phi1) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))
57.480 * * * * [progress]: [ 83 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (log (exp (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))>
57.481 * [simplify]: Simplifying (exp (cos (/ (+ phi1 phi2) 2)))
57.481 * * [simplify]: iters left: 6 (7 enodes)
57.482 * * [simplify]: iters left: 5 (22 enodes)
57.486 * * [simplify]: Extracting #0: cost 1 inf + 0
57.486 * * [simplify]: Extracting #1: cost 3 inf + 0
57.486 * * [simplify]: Extracting #2: cost 5 inf + 0
57.486 * * [simplify]: Extracting #3: cost 8 inf + 0
57.486 * * [simplify]: Extracting #4: cost 10 inf + 1
57.486 * * [simplify]: Extracting #5: cost 8 inf + 3
57.486 * * [simplify]: Extracting #6: cost 1 inf + 752
57.486 * * [simplify]: Extracting #7: cost 0 inf + 965
57.486 * [simplify]: Simplified to (exp (cos (/ (+ phi2 phi1) 2)))
57.486 * [simplify]: Simplified (2 2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (log (exp (cos (/ (+ phi2 phi1) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))
57.486 * * * * [progress]: [ 84 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))>
57.487 * [simplify]: Simplifying (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2))))
57.487 * * [simplify]: iters left: 6 (8 enodes)
57.491 * * [simplify]: iters left: 5 (25 enodes)
57.495 * * [simplify]: Extracting #0: cost 1 inf + 0
57.495 * * [simplify]: Extracting #1: cost 3 inf + 0
57.495 * * [simplify]: Extracting #2: cost 5 inf + 0
57.495 * * [simplify]: Extracting #3: cost 7 inf + 0
57.495 * * [simplify]: Extracting #4: cost 10 inf + 0
57.495 * * [simplify]: Extracting #5: cost 12 inf + 1
57.495 * * [simplify]: Extracting #6: cost 10 inf + 3
57.495 * * [simplify]: Extracting #7: cost 5 inf + 396
57.495 * * [simplify]: Extracting #8: cost 1 inf + 1248
57.495 * * [simplify]: Extracting #9: cost 0 inf + 1511
57.496 * [simplify]: Simplified to (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2))))
57.496 * [simplify]: Simplified (2 2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))
57.496 * [simplify]: Simplifying (cbrt (cos (/ (+ phi1 phi2) 2)))
57.496 * * [simplify]: iters left: 6 (7 enodes)
57.498 * * [simplify]: iters left: 5 (22 enodes)
57.501 * * [simplify]: Extracting #0: cost 1 inf + 0
57.501 * * [simplify]: Extracting #1: cost 3 inf + 0
57.501 * * [simplify]: Extracting #2: cost 5 inf + 0
57.501 * * [simplify]: Extracting #3: cost 8 inf + 0
57.501 * * [simplify]: Extracting #4: cost 10 inf + 1
57.501 * * [simplify]: Extracting #5: cost 8 inf + 3
57.501 * * [simplify]: Extracting #6: cost 1 inf + 762
57.501 * * [simplify]: Extracting #7: cost 0 inf + 985
57.501 * [simplify]: Simplified to (cbrt (cos (/ (+ phi2 phi1) 2)))
57.501 * [simplify]: Simplified (2 2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi2 phi1) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))
57.501 * * * * [progress]: [ 85 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))>
57.502 * [simplify]: Simplifying (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))
57.502 * * [simplify]: iters left: 6 (8 enodes)
57.504 * * [simplify]: iters left: 5 (26 enodes)
57.508 * * [simplify]: iters left: 4 (28 enodes)
57.512 * * [simplify]: iters left: 3 (34 enodes)
57.518 * * [simplify]: iters left: 2 (46 enodes)
57.528 * * [simplify]: iters left: 1 (72 enodes)
57.540 * * [simplify]: Extracting #0: cost 1 inf + 0
57.540 * * [simplify]: Extracting #1: cost 9 inf + 0
57.540 * * [simplify]: Extracting #2: cost 18 inf + 1
57.540 * * [simplify]: Extracting #3: cost 22 inf + 3
57.541 * * [simplify]: Extracting #4: cost 24 inf + 5
57.541 * * [simplify]: Extracting #5: cost 21 inf + 8
57.541 * * [simplify]: Extracting #6: cost 16 inf + 672
57.541 * * [simplify]: Extracting #7: cost 5 inf + 3651
57.542 * * [simplify]: Extracting #8: cost 0 inf + 6254
57.543 * [simplify]: Simplified to (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))
57.543 * [simplify]: Simplified (2 2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))))) (* (- phi1 phi2) (- phi1 phi2))))))
57.543 * * * * [progress]: [ 86 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (sqrt (cos (/ (+ phi1 phi2) 2))) (sqrt (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))>
57.543 * [simplify]: Simplifying (sqrt (cos (/ (+ phi1 phi2) 2)))
57.543 * * [simplify]: iters left: 6 (7 enodes)
57.545 * * [simplify]: iters left: 5 (22 enodes)
57.548 * * [simplify]: Extracting #0: cost 1 inf + 0
57.548 * * [simplify]: Extracting #1: cost 3 inf + 0
57.548 * * [simplify]: Extracting #2: cost 5 inf + 0
57.548 * * [simplify]: Extracting #3: cost 8 inf + 0
57.548 * * [simplify]: Extracting #4: cost 10 inf + 1
57.548 * * [simplify]: Extracting #5: cost 8 inf + 3
57.548 * * [simplify]: Extracting #6: cost 1 inf + 722
57.548 * * [simplify]: Extracting #7: cost 0 inf + 905
57.549 * [simplify]: Simplified to (sqrt (cos (/ (+ phi2 phi1) 2)))
57.549 * [simplify]: Simplified (2 2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (sqrt (cos (/ (+ phi2 phi1) 2))) (sqrt (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))
57.549 * [simplify]: Simplifying (sqrt (cos (/ (+ phi1 phi2) 2)))
57.549 * * [simplify]: iters left: 6 (7 enodes)
57.551 * * [simplify]: iters left: 5 (22 enodes)
57.554 * * [simplify]: Extracting #0: cost 1 inf + 0
57.554 * * [simplify]: Extracting #1: cost 3 inf + 0
57.554 * * [simplify]: Extracting #2: cost 5 inf + 0
57.554 * * [simplify]: Extracting #3: cost 8 inf + 0
57.554 * * [simplify]: Extracting #4: cost 10 inf + 1
57.554 * * [simplify]: Extracting #5: cost 8 inf + 3
57.554 * * [simplify]: Extracting #6: cost 1 inf + 722
57.554 * * [simplify]: Extracting #7: cost 0 inf + 905
57.554 * [simplify]: Simplified to (sqrt (cos (/ (+ phi2 phi1) 2)))
57.555 * [simplify]: Simplified (2 2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* (sqrt (cos (/ (+ phi1 phi2) 2))) (sqrt (cos (/ (+ phi2 phi1) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))
57.555 * * * * [progress]: [ 87 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (* 1 (cos (/ (+ phi1 phi2) 2))))) (* (- phi1 phi2) (- phi1 phi2))))))>
57.555 * * * * [progress]: [ 88 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (posit16->real (real->posit16 (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))>
57.555 * [simplify]: Simplifying (real->posit16 (cos (/ (+ phi1 phi2) 2)))
57.555 * * [simplify]: iters left: 6 (7 enodes)
57.557 * * [simplify]: iters left: 5 (19 enodes)
57.560 * * [simplify]: Extracting #0: cost 1 inf + 0
57.560 * * [simplify]: Extracting #1: cost 2 inf + 0
57.560 * * [simplify]: Extracting #2: cost 3 inf + 0
57.560 * * [simplify]: Extracting #3: cost 6 inf + 0
57.560 * * [simplify]: Extracting #4: cost 8 inf + 1
57.560 * * [simplify]: Extracting #5: cost 6 inf + 3
57.560 * * [simplify]: Extracting #6: cost 0 inf + 539
57.560 * [simplify]: Simplified to (real->posit16 (cos (/ (+ phi2 phi1) 2)))
57.560 * [simplify]: Simplified (2 2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (posit16->real (real->posit16 (cos (/ (+ phi2 phi1) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))
57.560 * * * * [progress]: [ 89 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (pow (cos (/ (+ phi1 phi2) 2)) 1)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))>
57.560 * * * * [progress]: [ 90 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (exp (log (cos (/ (+ phi1 phi2) 2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))>
57.560 * [simplify]: Simplifying (log (cos (/ (+ phi1 phi2) 2)))
57.560 * * [simplify]: iters left: 6 (7 enodes)
57.562 * * [simplify]: iters left: 5 (22 enodes)
57.565 * * [simplify]: Extracting #0: cost 1 inf + 0
57.565 * * [simplify]: Extracting #1: cost 3 inf + 0
57.565 * * [simplify]: Extracting #2: cost 5 inf + 0
57.565 * * [simplify]: Extracting #3: cost 8 inf + 0
57.565 * * [simplify]: Extracting #4: cost 10 inf + 1
57.565 * * [simplify]: Extracting #5: cost 8 inf + 3
57.566 * * [simplify]: Extracting #6: cost 1 inf + 752
57.566 * * [simplify]: Extracting #7: cost 0 inf + 965
57.566 * [simplify]: Simplified to (log (cos (/ (+ phi2 phi1) 2)))
57.566 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (exp (log (cos (/ (+ phi2 phi1) 2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))
57.566 * * * * [progress]: [ 91 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (log (exp (cos (/ (+ phi1 phi2) 2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))>
57.566 * [simplify]: Simplifying (exp (cos (/ (+ phi1 phi2) 2)))
57.566 * * [simplify]: iters left: 6 (7 enodes)
57.568 * * [simplify]: iters left: 5 (22 enodes)
57.573 * * [simplify]: Extracting #0: cost 1 inf + 0
57.573 * * [simplify]: Extracting #1: cost 3 inf + 0
57.573 * * [simplify]: Extracting #2: cost 5 inf + 0
57.574 * * [simplify]: Extracting #3: cost 8 inf + 0
57.574 * * [simplify]: Extracting #4: cost 10 inf + 1
57.574 * * [simplify]: Extracting #5: cost 8 inf + 3
57.574 * * [simplify]: Extracting #6: cost 1 inf + 752
57.574 * * [simplify]: Extracting #7: cost 0 inf + 965
57.574 * [simplify]: Simplified to (exp (cos (/ (+ phi2 phi1) 2)))
57.574 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (log (exp (cos (/ (+ phi2 phi1) 2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))
57.574 * * * * [progress]: [ 92 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))>
57.575 * [simplify]: Simplifying (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2))))
57.575 * * [simplify]: iters left: 6 (8 enodes)
57.577 * * [simplify]: iters left: 5 (25 enodes)
57.581 * * [simplify]: Extracting #0: cost 1 inf + 0
57.581 * * [simplify]: Extracting #1: cost 3 inf + 0
57.581 * * [simplify]: Extracting #2: cost 5 inf + 0
57.581 * * [simplify]: Extracting #3: cost 7 inf + 0
57.581 * * [simplify]: Extracting #4: cost 10 inf + 0
57.581 * * [simplify]: Extracting #5: cost 12 inf + 1
57.581 * * [simplify]: Extracting #6: cost 10 inf + 3
57.581 * * [simplify]: Extracting #7: cost 5 inf + 396
57.581 * * [simplify]: Extracting #8: cost 1 inf + 1248
57.581 * * [simplify]: Extracting #9: cost 0 inf + 1511
57.581 * [simplify]: Simplified to (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2))))
57.582 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2)))) (cbrt (cos (/ (+ phi1 phi2) 2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))
57.582 * [simplify]: Simplifying (cbrt (cos (/ (+ phi1 phi2) 2)))
57.582 * * [simplify]: iters left: 6 (7 enodes)
57.583 * * [simplify]: iters left: 5 (22 enodes)
57.587 * * [simplify]: Extracting #0: cost 1 inf + 0
57.587 * * [simplify]: Extracting #1: cost 3 inf + 0
57.587 * * [simplify]: Extracting #2: cost 5 inf + 0
57.587 * * [simplify]: Extracting #3: cost 8 inf + 0
57.587 * * [simplify]: Extracting #4: cost 10 inf + 1
57.587 * * [simplify]: Extracting #5: cost 8 inf + 3
57.587 * * [simplify]: Extracting #6: cost 1 inf + 762
57.587 * * [simplify]: Extracting #7: cost 0 inf + 985
57.587 * [simplify]: Simplified to (cbrt (cos (/ (+ phi2 phi1) 2)))
57.587 * [simplify]: Simplified (2 2 1 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) (cbrt (cos (/ (+ phi2 phi1) 2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))
57.587 * * * * [progress]: [ 93 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))>
57.588 * [simplify]: Simplifying (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))
57.588 * * [simplify]: iters left: 6 (8 enodes)
57.590 * * [simplify]: iters left: 5 (26 enodes)
57.598 * * [simplify]: iters left: 4 (28 enodes)
57.606 * * [simplify]: iters left: 3 (34 enodes)
57.612 * * [simplify]: iters left: 2 (46 enodes)
57.621 * * [simplify]: iters left: 1 (72 enodes)
57.634 * * [simplify]: Extracting #0: cost 1 inf + 0
57.634 * * [simplify]: Extracting #1: cost 9 inf + 0
57.634 * * [simplify]: Extracting #2: cost 18 inf + 1
57.634 * * [simplify]: Extracting #3: cost 22 inf + 3
57.634 * * [simplify]: Extracting #4: cost 24 inf + 5
57.634 * * [simplify]: Extracting #5: cost 21 inf + 8
57.634 * * [simplify]: Extracting #6: cost 16 inf + 672
57.635 * * [simplify]: Extracting #7: cost 5 inf + 3651
57.636 * * [simplify]: Extracting #8: cost 0 inf + 6254
57.636 * [simplify]: Simplified to (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))
57.636 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2)))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))
57.637 * * * * [progress]: [ 94 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (* (sqrt (cos (/ (+ phi1 phi2) 2))) (sqrt (cos (/ (+ phi1 phi2) 2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))>
57.637 * [simplify]: Simplifying (sqrt (cos (/ (+ phi1 phi2) 2)))
57.637 * * [simplify]: iters left: 6 (7 enodes)
57.639 * * [simplify]: iters left: 5 (22 enodes)
57.642 * * [simplify]: Extracting #0: cost 1 inf + 0
57.642 * * [simplify]: Extracting #1: cost 3 inf + 0
57.642 * * [simplify]: Extracting #2: cost 5 inf + 0
57.642 * * [simplify]: Extracting #3: cost 8 inf + 0
57.642 * * [simplify]: Extracting #4: cost 10 inf + 1
57.642 * * [simplify]: Extracting #5: cost 8 inf + 3
57.642 * * [simplify]: Extracting #6: cost 1 inf + 722
57.642 * * [simplify]: Extracting #7: cost 0 inf + 905
57.642 * [simplify]: Simplified to (sqrt (cos (/ (+ phi2 phi1) 2)))
57.642 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (* (sqrt (cos (/ (+ phi2 phi1) 2))) (sqrt (cos (/ (+ phi1 phi2) 2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))
57.642 * [simplify]: Simplifying (sqrt (cos (/ (+ phi1 phi2) 2)))
57.643 * * [simplify]: iters left: 6 (7 enodes)
57.644 * * [simplify]: iters left: 5 (22 enodes)
57.647 * * [simplify]: Extracting #0: cost 1 inf + 0
57.647 * * [simplify]: Extracting #1: cost 3 inf + 0
57.647 * * [simplify]: Extracting #2: cost 5 inf + 0
57.647 * * [simplify]: Extracting #3: cost 8 inf + 0
57.647 * * [simplify]: Extracting #4: cost 10 inf + 1
57.647 * * [simplify]: Extracting #5: cost 8 inf + 3
57.648 * * [simplify]: Extracting #6: cost 1 inf + 722
57.648 * * [simplify]: Extracting #7: cost 0 inf + 905
57.648 * [simplify]: Simplified to (sqrt (cos (/ (+ phi2 phi1) 2)))
57.648 * [simplify]: Simplified (2 2 1 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (* (sqrt (cos (/ (+ phi1 phi2) 2))) (sqrt (cos (/ (+ phi2 phi1) 2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))
57.648 * * * * [progress]: [ 95 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (* 1 (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))>
57.648 * * * * [progress]: [ 96 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (posit16->real (real->posit16 (cos (/ (+ phi1 phi2) 2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))>
57.648 * [simplify]: Simplifying (real->posit16 (cos (/ (+ phi1 phi2) 2)))
57.648 * * [simplify]: iters left: 6 (7 enodes)
57.650 * * [simplify]: iters left: 5 (19 enodes)
57.653 * * [simplify]: Extracting #0: cost 1 inf + 0
57.653 * * [simplify]: Extracting #1: cost 2 inf + 0
57.653 * * [simplify]: Extracting #2: cost 3 inf + 0
57.653 * * [simplify]: Extracting #3: cost 6 inf + 0
57.653 * * [simplify]: Extracting #4: cost 8 inf + 1
57.653 * * [simplify]: Extracting #5: cost 6 inf + 3
57.653 * * [simplify]: Extracting #6: cost 0 inf + 539
57.653 * [simplify]: Simplified to (real->posit16 (cos (/ (+ phi2 phi1) 2)))
57.653 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (posit16->real (real->posit16 (cos (/ (+ phi2 phi1) 2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))
57.653 * * * * [progress]: [ 97 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ 1 1)) (* (- phi1 phi2) (- phi1 phi2))))))>
57.653 * [simplify]: Simplifying (+ 1 1)
57.653 * * [simplify]: iters left: 2 (2 enodes)
57.655 * * [simplify]: iters left: 1 (9 enodes)
57.656 * * [simplify]: Extracting #0: cost 1 inf + 0
57.656 * * [simplify]: Extracting #1: cost 0 inf + 1
57.656 * [simplify]: Simplified to 2
57.656 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 2) (* (- phi1 phi2) (- phi1 phi2))))))
57.657 * * * * [progress]: [ 98 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ 1 1)) (* (- phi1 phi2) (- phi1 phi2))))))>
57.657 * [simplify]: Simplifying (+ 1 1)
57.657 * * [simplify]: iters left: 2 (2 enodes)
57.658 * * [simplify]: iters left: 1 (9 enodes)
57.661 * * [simplify]: Extracting #0: cost 1 inf + 0
57.662 * * [simplify]: Extracting #1: cost 0 inf + 1
57.662 * [simplify]: Simplified to 2
57.662 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 2) (* (- phi1 phi2) (- phi1 phi2))))))
57.662 * * * * [progress]: [ 99 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ 1 1)) (* (- phi1 phi2) (- phi1 phi2))))))>
57.662 * [simplify]: Simplifying (+ 1 1)
57.662 * * [simplify]: iters left: 2 (2 enodes)
57.666 * * [simplify]: iters left: 1 (9 enodes)
57.670 * * [simplify]: Extracting #0: cost 1 inf + 0
57.670 * * [simplify]: Extracting #1: cost 0 inf + 1
57.670 * [simplify]: Simplified to 2
57.670 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 2) (* (- phi1 phi2) (- phi1 phi2))))))
57.670 * * * * [progress]: [ 100 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ 1 1)) (* (- phi1 phi2) (- phi1 phi2))))))>
57.670 * [simplify]: Simplifying (+ 1 1)
57.670 * * [simplify]: iters left: 2 (2 enodes)
57.673 * * [simplify]: iters left: 1 (9 enodes)
57.676 * * [simplify]: Extracting #0: cost 1 inf + 0
57.676 * * [simplify]: Extracting #1: cost 0 inf + 1
57.676 * [simplify]: Simplified to 2
57.676 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 2) (* (- phi1 phi2) (- phi1 phi2))))))
57.676 * * * * [progress]: [ 101 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1) (* (- phi1 phi2) (- phi1 phi2))))))>
57.677 * [simplify]: Simplifying (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))
57.677 * * [simplify]: iters left: 6 (11 enodes)
57.683 * * [simplify]: iters left: 5 (44 enodes)
57.692 * * [simplify]: iters left: 4 (84 enodes)
57.711 * * [simplify]: iters left: 3 (250 enodes)
57.806 * * [simplify]: Extracting #0: cost 1 inf + 0
57.806 * * [simplify]: Extracting #1: cost 27 inf + 0
57.806 * * [simplify]: Extracting #2: cost 118 inf + 0
57.808 * * [simplify]: Extracting #3: cost 159 inf + 250
57.810 * * [simplify]: Extracting #4: cost 135 inf + 3217
57.815 * * [simplify]: Extracting #5: cost 124 inf + 4659
57.823 * * [simplify]: Extracting #6: cost 47 inf + 25183
57.839 * * [simplify]: Extracting #7: cost 0 inf + 39064
57.857 * [simplify]: Simplified to (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))
57.857 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1) (* (- phi1 phi2) (- phi1 phi2))))))
57.857 * * * * [progress]: [ 102 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1) (* (- phi1 phi2) (- phi1 phi2))))))>
57.858 * [simplify]: Simplifying (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))
57.858 * * [simplify]: iters left: 6 (11 enodes)
57.864 * * [simplify]: iters left: 5 (44 enodes)
57.878 * * [simplify]: iters left: 4 (84 enodes)
57.916 * * [simplify]: iters left: 3 (250 enodes)
58.056 * * [simplify]: Extracting #0: cost 1 inf + 0
58.056 * * [simplify]: Extracting #1: cost 27 inf + 0
58.057 * * [simplify]: Extracting #2: cost 118 inf + 0
58.058 * * [simplify]: Extracting #3: cost 159 inf + 250
58.060 * * [simplify]: Extracting #4: cost 135 inf + 3217
58.063 * * [simplify]: Extracting #5: cost 124 inf + 4659
58.071 * * [simplify]: Extracting #6: cost 47 inf + 25183
58.085 * * [simplify]: Extracting #7: cost 0 inf + 39064
58.102 * [simplify]: Simplified to (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))
58.102 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1) (* (- phi1 phi2) (- phi1 phi2))))))
58.102 * * * * [progress]: [ 103 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1) (* (- phi1 phi2) (- phi1 phi2))))))>
58.102 * [simplify]: Simplifying (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))
58.102 * * [simplify]: iters left: 6 (11 enodes)
58.108 * * [simplify]: iters left: 5 (44 enodes)
58.123 * * [simplify]: iters left: 4 (84 enodes)
58.146 * * [simplify]: iters left: 3 (250 enodes)
58.272 * * [simplify]: Extracting #0: cost 1 inf + 0
58.272 * * [simplify]: Extracting #1: cost 27 inf + 0
58.272 * * [simplify]: Extracting #2: cost 118 inf + 0
58.272 * * [simplify]: Extracting #3: cost 159 inf + 250
58.273 * * [simplify]: Extracting #4: cost 135 inf + 3217
58.275 * * [simplify]: Extracting #5: cost 124 inf + 4659
58.279 * * [simplify]: Extracting #6: cost 47 inf + 25183
58.288 * * [simplify]: Extracting #7: cost 0 inf + 39064
58.296 * [simplify]: Simplified to (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))
58.296 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1) (* (- phi1 phi2) (- phi1 phi2))))))
58.296 * * * * [progress]: [ 104 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1) (* (- phi1 phi2) (- phi1 phi2))))))>
58.296 * [simplify]: Simplifying (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))
58.297 * * [simplify]: iters left: 6 (11 enodes)
58.299 * * [simplify]: iters left: 5 (44 enodes)
58.306 * * [simplify]: iters left: 4 (84 enodes)
58.329 * * [simplify]: iters left: 3 (250 enodes)
58.446 * * [simplify]: Extracting #0: cost 1 inf + 0
58.446 * * [simplify]: Extracting #1: cost 27 inf + 0
58.446 * * [simplify]: Extracting #2: cost 118 inf + 0
58.447 * * [simplify]: Extracting #3: cost 159 inf + 250
58.448 * * [simplify]: Extracting #4: cost 135 inf + 3217
58.449 * * [simplify]: Extracting #5: cost 124 inf + 4659
58.454 * * [simplify]: Extracting #6: cost 47 inf + 25183
58.462 * * [simplify]: Extracting #7: cost 0 inf + 39064
58.471 * [simplify]: Simplified to (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))
58.471 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1) (* (- phi1 phi2) (- phi1 phi2))))))
58.472 * * * * [progress]: [ 105 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 2) (* (- phi1 phi2) (- phi1 phi2))))))>
58.472 * * * * [progress]: [ 106 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ 1 1)) (* (- phi1 phi2) (- phi1 phi2))))))>
58.472 * [simplify]: Simplifying (+ 1 1)
58.472 * * [simplify]: iters left: 2 (2 enodes)
58.477 * * [simplify]: iters left: 1 (9 enodes)
58.481 * * [simplify]: Extracting #0: cost 1 inf + 0
58.481 * * [simplify]: Extracting #1: cost 0 inf + 1
58.481 * [simplify]: Simplified to 2
58.481 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 2) (* (- phi1 phi2) (- phi1 phi2))))))
58.481 * * * * [progress]: [ 107 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ 1 1)) (* (- phi1 phi2) (- phi1 phi2))))))>
58.482 * [simplify]: Simplifying (+ 1 1)
58.482 * * [simplify]: iters left: 2 (2 enodes)
58.484 * * [simplify]: iters left: 1 (9 enodes)
58.488 * * [simplify]: Extracting #0: cost 1 inf + 0
58.488 * * [simplify]: Extracting #1: cost 0 inf + 1
58.488 * [simplify]: Simplified to 2
58.488 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 2) (* (- phi1 phi2) (- phi1 phi2))))))
58.488 * * * * [progress]: [ 108 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1) (* (- phi1 phi2) (- phi1 phi2))))))>
58.488 * * * * [progress]: [ 109 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (exp (+ (+ (log (- lambda1 lambda2)) (log (cos (/ (+ phi1 phi2) 2)))) (+ (log (- lambda1 lambda2)) (log (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))>
58.488 * [simplify]: Simplifying (+ (+ (log (- lambda1 lambda2)) (log (cos (/ (+ phi1 phi2) 2)))) (+ (log (- lambda1 lambda2)) (log (cos (/ (+ phi1 phi2) 2)))))
58.489 * * [simplify]: iters left: 6 (13 enodes)
58.495 * * [simplify]: iters left: 5 (47 enodes)
58.510 * * [simplify]: iters left: 4 (62 enodes)
58.527 * * [simplify]: iters left: 3 (70 enodes)
58.545 * * [simplify]: iters left: 2 (71 enodes)
58.556 * * [simplify]: Extracting #0: cost 1 inf + 0
58.556 * * [simplify]: Extracting #1: cost 9 inf + 0
58.556 * * [simplify]: Extracting #2: cost 18 inf + 0
58.556 * * [simplify]: Extracting #3: cost 24 inf + 0
58.556 * * [simplify]: Extracting #4: cost 26 inf + 2
58.556 * * [simplify]: Extracting #5: cost 24 inf + 240
58.557 * * [simplify]: Extracting #6: cost 18 inf + 699
58.557 * * [simplify]: Extracting #7: cost 13 inf + 1092
58.557 * * [simplify]: Extracting #8: cost 3 inf + 4304
58.558 * * [simplify]: Extracting #9: cost 0 inf + 5327
58.559 * [simplify]: Simplified to (+ (+ (log (cos (/ (+ phi2 phi1) 2))) (log (- lambda1 lambda2))) (+ (log (cos (/ (+ phi2 phi1) 2))) (log (- lambda1 lambda2))))
58.559 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (exp (+ (+ (log (cos (/ (+ phi2 phi1) 2))) (log (- lambda1 lambda2))) (+ (log (cos (/ (+ phi2 phi1) 2))) (log (- lambda1 lambda2))))) (* (- phi1 phi2) (- phi1 phi2))))))
58.559 * * * * [progress]: [ 110 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (exp (+ (+ (log (- lambda1 lambda2)) (log (cos (/ (+ phi1 phi2) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))>
58.560 * [simplify]: Simplifying (+ (+ (log (- lambda1 lambda2)) (log (cos (/ (+ phi1 phi2) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))
58.560 * * [simplify]: iters left: 6 (15 enodes)
58.563 * * [simplify]: iters left: 5 (51 enodes)
58.570 * * [simplify]: iters left: 4 (70 enodes)
58.582 * * [simplify]: iters left: 3 (93 enodes)
58.607 * * [simplify]: iters left: 2 (106 enodes)
58.631 * * [simplify]: iters left: 1 (108 enodes)
58.654 * * [simplify]: Extracting #0: cost 1 inf + 0
58.654 * * [simplify]: Extracting #1: cost 9 inf + 0
58.654 * * [simplify]: Extracting #2: cost 19 inf + 0
58.654 * * [simplify]: Extracting #3: cost 29 inf + 0
58.654 * * [simplify]: Extracting #4: cost 35 inf + 2
58.655 * * [simplify]: Extracting #5: cost 32 inf + 504
58.655 * * [simplify]: Extracting #6: cost 28 inf + 699
58.655 * * [simplify]: Extracting #7: cost 23 inf + 1092
58.657 * * [simplify]: Extracting #8: cost 5 inf + 5975
58.660 * * [simplify]: Extracting #9: cost 0 inf + 7047
58.662 * [simplify]: Simplified to (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))
58.662 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (exp (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))
58.663 * * * * [progress]: [ 111 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (exp (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (log (- lambda1 lambda2)) (log (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))>
58.663 * [simplify]: Simplifying (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (log (- lambda1 lambda2)) (log (cos (/ (+ phi1 phi2) 2)))))
58.663 * * [simplify]: iters left: 6 (15 enodes)
58.670 * * [simplify]: iters left: 5 (51 enodes)
58.682 * * [simplify]: iters left: 4 (70 enodes)
58.692 * * [simplify]: iters left: 3 (94 enodes)
58.705 * * [simplify]: iters left: 2 (106 enodes)
58.726 * * [simplify]: iters left: 1 (108 enodes)
58.738 * * [simplify]: Extracting #0: cost 1 inf + 0
58.739 * * [simplify]: Extracting #1: cost 9 inf + 0
58.739 * * [simplify]: Extracting #2: cost 19 inf + 0
58.739 * * [simplify]: Extracting #3: cost 29 inf + 0
58.739 * * [simplify]: Extracting #4: cost 35 inf + 2
58.739 * * [simplify]: Extracting #5: cost 32 inf + 504
58.739 * * [simplify]: Extracting #6: cost 27 inf + 741
58.740 * * [simplify]: Extracting #7: cost 17 inf + 2322
58.741 * * [simplify]: Extracting #8: cost 4 inf + 6159
58.742 * * [simplify]: Extracting #9: cost 0 inf + 7047
58.743 * [simplify]: Simplified to (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))
58.743 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (exp (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))
58.743 * * * * [progress]: [ 112 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (exp (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))>
58.744 * [simplify]: Simplifying (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))
58.744 * * [simplify]: iters left: 6 (12 enodes)
58.747 * * [simplify]: iters left: 5 (43 enodes)
58.753 * * [simplify]: iters left: 4 (61 enodes)
58.766 * * [simplify]: iters left: 3 (87 enodes)
58.785 * * [simplify]: iters left: 2 (104 enodes)
58.798 * * [simplify]: iters left: 1 (107 enodes)
58.820 * * [simplify]: Extracting #0: cost 1 inf + 0
58.820 * * [simplify]: Extracting #1: cost 9 inf + 0
58.821 * * [simplify]: Extracting #2: cost 19 inf + 0
58.821 * * [simplify]: Extracting #3: cost 29 inf + 0
58.821 * * [simplify]: Extracting #4: cost 35 inf + 2
58.821 * * [simplify]: Extracting #5: cost 34 inf + 239
58.821 * * [simplify]: Extracting #6: cost 28 inf + 589
58.822 * * [simplify]: Extracting #7: cost 19 inf + 1898
58.824 * * [simplify]: Extracting #8: cost 2 inf + 6307
58.827 * * [simplify]: Extracting #9: cost 0 inf + 7047
58.829 * [simplify]: Simplified to (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))
58.829 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (exp (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))
58.829 * * * * [progress]: [ 113 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (exp (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))>
58.830 * [simplify]: Simplifying (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))
58.830 * * [simplify]: iters left: 6 (12 enodes)
58.836 * * [simplify]: iters left: 5 (49 enodes)
58.853 * * [simplify]: iters left: 4 (102 enodes)
58.893 * * [simplify]: iters left: 3 (291 enodes)
59.041 * * [simplify]: Extracting #0: cost 1 inf + 0
59.041 * * [simplify]: Extracting #1: cost 10 inf + 0
59.041 * * [simplify]: Extracting #2: cost 43 inf + 0
59.042 * * [simplify]: Extracting #3: cost 131 inf + 0
59.042 * * [simplify]: Extracting #4: cost 175 inf + 494
59.044 * * [simplify]: Extracting #5: cost 152 inf + 3600
59.046 * * [simplify]: Extracting #6: cost 117 inf + 10601
59.053 * * [simplify]: Extracting #7: cost 26 inf + 35572
59.062 * * [simplify]: Extracting #8: cost 0 inf + 43775
59.078 * [simplify]: Simplified to (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))
59.078 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (exp (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))
59.079 * * * * [progress]: [ 114 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (log (exp (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))>
59.079 * [simplify]: Simplifying (exp (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))
59.079 * * [simplify]: iters left: 6 (12 enodes)
59.085 * * [simplify]: iters left: 5 (49 enodes)
59.101 * * [simplify]: iters left: 4 (103 enodes)
59.151 * * [simplify]: iters left: 3 (332 enodes)
59.258 * * [simplify]: Extracting #0: cost 1 inf + 0
59.258 * * [simplify]: Extracting #1: cost 31 inf + 0
59.258 * * [simplify]: Extracting #2: cost 148 inf + 0
59.259 * * [simplify]: Extracting #3: cost 260 inf + 639
59.261 * * [simplify]: Extracting #4: cost 222 inf + 5379
59.268 * * [simplify]: Extracting #5: cost 158 inf + 20670
59.291 * * [simplify]: Extracting #6: cost 19 inf + 64789
59.322 * * [simplify]: Extracting #7: cost 0 inf + 71267
59.348 * [simplify]: Simplified to (exp (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))
59.348 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (log (exp (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))
59.348 * * * * [progress]: [ 115 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))>
59.348 * [simplify]: Simplifying (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))
59.348 * * [simplify]: iters left: 6 (15 enodes)
59.352 * * [simplify]: iters left: 5 (62 enodes)
59.364 * * [simplify]: iters left: 4 (179 enodes)
59.456 * * [simplify]: Extracting #0: cost 1 inf + 0
59.456 * * [simplify]: Extracting #1: cost 48 inf + 0
59.456 * * [simplify]: Extracting #2: cost 228 inf + 0
59.458 * * [simplify]: Extracting #3: cost 234 inf + 2399
59.460 * * [simplify]: Extracting #4: cost 200 inf + 7307
59.466 * * [simplify]: Extracting #5: cost 134 inf + 26490
59.488 * * [simplify]: Extracting #6: cost 12 inf + 74024
59.530 * * [simplify]: Extracting #7: cost 0 inf + 77284
59.571 * * [simplify]: Extracting #8: cost 0 inf + 75804
59.599 * * [simplify]: Extracting #9: cost 0 inf + 75444
59.633 * [simplify]: Simplified to (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))
59.633 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (* (- phi1 phi2) (- phi1 phi2))))))
59.633 * * * * [progress]: [ 116 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))>
59.633 * [simplify]: Simplifying (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))
59.633 * * [simplify]: iters left: 6 (18 enodes)
59.638 * * [simplify]: iters left: 5 (78 enodes)
59.654 * * [simplify]: iters left: 4 (221 enodes)
59.859 * * [simplify]: Extracting #0: cost 1 inf + 0
59.860 * * [simplify]: Extracting #1: cost 73 inf + 0
59.861 * * [simplify]: Extracting #2: cost 307 inf + 1
59.864 * * [simplify]: Extracting #3: cost 341 inf + 1026
59.868 * * [simplify]: Extracting #4: cost 317 inf + 4075
59.881 * * [simplify]: Extracting #5: cost 233 inf + 31818
59.913 * * [simplify]: Extracting #6: cost 24 inf + 110296
59.963 * * [simplify]: Extracting #7: cost 0 inf + 114736
60.029 * * [simplify]: Extracting #8: cost 0 inf + 114496
60.066 * [simplify]: Simplified to (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))
60.066 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))
60.066 * * * * [progress]: [ 117 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))>
60.067 * [simplify]: Simplifying (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))
60.067 * * [simplify]: iters left: 6 (18 enodes)
60.072 * * [simplify]: iters left: 5 (78 enodes)
60.099 * * [simplify]: iters left: 4 (227 enodes)
60.345 * * [simplify]: Extracting #0: cost 1 inf + 0
60.346 * * [simplify]: Extracting #1: cost 62 inf + 0
60.347 * * [simplify]: Extracting #2: cost 305 inf + 1
60.350 * * [simplify]: Extracting #3: cost 339 inf + 1146
60.354 * * [simplify]: Extracting #4: cost 314 inf + 4357
60.359 * * [simplify]: Extracting #5: cost 309 inf + 4776
60.363 * * [simplify]: Extracting #6: cost 307 inf + 4901
60.373 * * [simplify]: Extracting #7: cost 243 inf + 26198
60.400 * * [simplify]: Extracting #8: cost 33 inf + 101383
60.454 * * [simplify]: Extracting #9: cost 0 inf + 113366
60.501 * [simplify]: Simplified to (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))
60.502 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (* (- phi1 phi2) (- phi1 phi2))))))
60.502 * * * * [progress]: [ 118 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))>
60.502 * [simplify]: Simplifying (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))
60.502 * * [simplify]: iters left: 6 (13 enodes)
60.506 * * [simplify]: iters left: 5 (59 enodes)
60.519 * * [simplify]: iters left: 4 (182 enodes)
60.657 * * [simplify]: Extracting #0: cost 1 inf + 0
60.658 * * [simplify]: Extracting #1: cost 44 inf + 0
60.658 * * [simplify]: Extracting #2: cost 209 inf + 2
60.659 * * [simplify]: Extracting #3: cost 245 inf + 910
60.661 * * [simplify]: Extracting #4: cost 224 inf + 3232
60.666 * * [simplify]: Extracting #5: cost 156 inf + 23601
60.690 * * [simplify]: Extracting #6: cost 7 inf + 74141
60.732 * * [simplify]: Extracting #7: cost 0 inf + 76796
60.767 * [simplify]: Simplified to (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))
60.767 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (* (- phi1 phi2) (- phi1 phi2))))))
60.767 * * * * [progress]: [ 119 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))>
60.767 * [simplify]: Simplifying (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))
60.767 * * [simplify]: iters left: 6 (13 enodes)
60.771 * * [simplify]: iters left: 5 (50 enodes)
60.779 * * [simplify]: iters left: 4 (90 enodes)
60.809 * * [simplify]: iters left: 3 (257 enodes)
60.925 * * [simplify]: Extracting #0: cost 1 inf + 0
60.925 * * [simplify]: Extracting #1: cost 3 inf + 0
60.926 * * [simplify]: Extracting #2: cost 5 inf + 0
60.926 * * [simplify]: Extracting #3: cost 32 inf + 0
60.926 * * [simplify]: Extracting #4: cost 124 inf + 0
60.927 * * [simplify]: Extracting #5: cost 166 inf + 615
60.929 * * [simplify]: Extracting #6: cost 139 inf + 4309
60.932 * * [simplify]: Extracting #7: cost 137 inf + 4311
60.934 * * [simplify]: Extracting #8: cost 133 inf + 4804
60.943 * * [simplify]: Extracting #9: cost 55 inf + 25916
60.958 * * [simplify]: Extracting #10: cost 0 inf + 42192
60.976 * [simplify]: Simplified to (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))
60.976 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))
60.977 * [simplify]: Simplifying (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))
60.977 * * [simplify]: iters left: 6 (12 enodes)
60.982 * * [simplify]: iters left: 5 (47 enodes)
60.994 * * [simplify]: iters left: 4 (87 enodes)
61.016 * * [simplify]: iters left: 3 (254 enodes)
61.161 * * [simplify]: Extracting #0: cost 1 inf + 0
61.161 * * [simplify]: Extracting #1: cost 3 inf + 0
61.161 * * [simplify]: Extracting #2: cost 30 inf + 0
61.162 * * [simplify]: Extracting #3: cost 123 inf + 0
61.163 * * [simplify]: Extracting #4: cost 170 inf + 127
61.165 * * [simplify]: Extracting #5: cost 145 inf + 3095
61.167 * * [simplify]: Extracting #6: cost 131 inf + 5109
61.177 * * [simplify]: Extracting #7: cost 44 inf + 28639
61.194 * * [simplify]: Extracting #8: cost 0 inf + 41727
61.214 * [simplify]: Simplified to (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))
61.214 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))
61.215 * * * * [progress]: [ 120 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))>
61.215 * [simplify]: Simplifying (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))
61.215 * * [simplify]: iters left: 6 (13 enodes)
61.222 * * [simplify]: iters left: 5 (58 enodes)
61.245 * * [simplify]: iters left: 4 (172 enodes)
61.427 * * [simplify]: Extracting #0: cost 1 inf + 0
61.427 * * [simplify]: Extracting #1: cost 58 inf + 0
61.427 * * [simplify]: Extracting #2: cost 237 inf + 2
61.428 * * [simplify]: Extracting #3: cost 256 inf + 456
61.430 * * [simplify]: Extracting #4: cost 240 inf + 2511
61.435 * * [simplify]: Extracting #5: cost 176 inf + 20858
61.453 * * [simplify]: Extracting #6: cost 17 inf + 75462
61.476 * * [simplify]: Extracting #7: cost 0 inf + 81766
61.511 * [simplify]: Simplified to (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))
61.511 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))
61.511 * * * * [progress]: [ 121 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (sqrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (sqrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))>
61.512 * [simplify]: Simplifying (sqrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))
61.512 * * [simplify]: iters left: 6 (12 enodes)
61.518 * * [simplify]: iters left: 5 (48 enodes)
61.533 * * [simplify]: iters left: 4 (88 enodes)
61.553 * * [simplify]: iters left: 3 (255 enodes)
61.665 * * [simplify]: Extracting #0: cost 1 inf + 0
61.665 * * [simplify]: Extracting #1: cost 4 inf + 0
61.665 * * [simplify]: Extracting #2: cost 34 inf + 0
61.666 * * [simplify]: Extracting #3: cost 123 inf + 0
61.666 * * [simplify]: Extracting #4: cost 164 inf + 168
61.667 * * [simplify]: Extracting #5: cost 142 inf + 2771
61.668 * * [simplify]: Extracting #6: cost 125 inf + 5332
61.673 * * [simplify]: Extracting #7: cost 40 inf + 28581
61.683 * * [simplify]: Extracting #8: cost 0 inf + 40284
61.692 * [simplify]: Simplified to (fabs (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))
61.692 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (fabs (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (sqrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))
61.692 * [simplify]: Simplifying (sqrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))
61.692 * * [simplify]: iters left: 6 (12 enodes)
61.695 * * [simplify]: iters left: 5 (48 enodes)
61.703 * * [simplify]: iters left: 4 (88 enodes)
61.737 * * [simplify]: iters left: 3 (255 enodes)
61.854 * * [simplify]: Extracting #0: cost 1 inf + 0
61.854 * * [simplify]: Extracting #1: cost 4 inf + 0
61.854 * * [simplify]: Extracting #2: cost 34 inf + 0
61.855 * * [simplify]: Extracting #3: cost 123 inf + 0
61.855 * * [simplify]: Extracting #4: cost 164 inf + 168
61.857 * * [simplify]: Extracting #5: cost 142 inf + 2771
61.859 * * [simplify]: Extracting #6: cost 125 inf + 5332
61.866 * * [simplify]: Extracting #7: cost 40 inf + 28581
61.880 * * [simplify]: Extracting #8: cost 0 inf + 40284
61.897 * [simplify]: Simplified to (fabs (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))
61.897 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (sqrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (fabs (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (- phi1 phi2) (- phi1 phi2))))))
61.897 * * * * [progress]: [ 122 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- phi1 phi2))))))>
61.897 * [simplify]: Simplifying (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))
61.897 * * [simplify]: iters left: 6 (14 enodes)
61.904 * * [simplify]: iters left: 5 (65 enodes)
61.927 * * [simplify]: iters left: 4 (142 enodes)
61.982 * * [simplify]: Extracting #0: cost 1 inf + 0
61.983 * * [simplify]: Extracting #1: cost 27 inf + 0
61.983 * * [simplify]: Extracting #2: cost 67 inf + 0
61.983 * * [simplify]: Extracting #3: cost 174 inf + 0
61.984 * * [simplify]: Extracting #4: cost 172 inf + 2655
61.986 * * [simplify]: Extracting #5: cost 95 inf + 36352
61.998 * * [simplify]: Extracting #6: cost 11 inf + 68762
62.017 * * [simplify]: Extracting #7: cost 0 inf + 64036
62.035 * * [simplify]: Extracting #8: cost 0 inf + 63093
62.055 * [simplify]: Simplified to (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))
62.055 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- phi1 phi2))))))
62.055 * [simplify]: Simplifying (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))
62.056 * * [simplify]: iters left: 6 (8 enodes)
62.059 * * [simplify]: iters left: 5 (37 enodes)
62.074 * * [simplify]: iters left: 4 (104 enodes)
62.139 * * [simplify]: iters left: 3 (447 enodes)
62.546 * * [simplify]: Extracting #0: cost 1 inf + 0
62.546 * * [simplify]: Extracting #1: cost 54 inf + 0
62.548 * * [simplify]: Extracting #2: cost 255 inf + 0
62.554 * * [simplify]: Extracting #3: cost 217 inf + 12248
62.575 * * [simplify]: Extracting #4: cost 46 inf + 55023
62.606 * * [simplify]: Extracting #5: cost 1 inf + 67953
62.636 * * [simplify]: Extracting #6: cost 0 inf + 67835
62.660 * [simplify]: Simplified to (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))
62.660 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (- phi1 phi2))))))
62.660 * * * * [progress]: [ 123 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (* (- phi1 phi2) (- phi1 phi2))))))>
62.660 * [simplify]: Simplifying (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))
62.661 * * [simplify]: iters left: 6 (18 enodes)
62.667 * * [simplify]: iters left: 5 (79 enodes)
62.687 * * [simplify]: iters left: 4 (170 enodes)
62.751 * * [simplify]: Extracting #0: cost 1 inf + 0
62.751 * * [simplify]: Extracting #1: cost 42 inf + 0
62.752 * * [simplify]: Extracting #2: cost 137 inf + 0
62.752 * * [simplify]: Extracting #3: cost 190 inf + 208
62.753 * * [simplify]: Extracting #4: cost 168 inf + 4633
62.756 * * [simplify]: Extracting #5: cost 107 inf + 22463
62.765 * * [simplify]: Extracting #6: cost 11 inf + 58811
62.778 * * [simplify]: Extracting #7: cost 0 inf + 63449
62.795 * [simplify]: Simplified to (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2)))))
62.795 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (* (- phi1 phi2) (- phi1 phi2))))))
62.795 * [simplify]: Simplifying (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))
62.795 * * [simplify]: iters left: 6 (9 enodes)
62.797 * * [simplify]: iters left: 5 (41 enodes)
62.805 * * [simplify]: iters left: 4 (101 enodes)
62.851 * * [simplify]: iters left: 3 (279 enodes)
62.949 * * [simplify]: Extracting #0: cost 1 inf + 0
62.949 * * [simplify]: Extracting #1: cost 29 inf + 0
62.950 * * [simplify]: Extracting #2: cost 105 inf + 0
62.950 * * [simplify]: Extracting #3: cost 100 inf + 1180
62.953 * * [simplify]: Extracting #4: cost 42 inf + 11650
62.959 * * [simplify]: Extracting #5: cost 0 inf + 20704
62.964 * * [simplify]: Extracting #6: cost 0 inf + 20224
62.970 * [simplify]: Simplified to (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))
62.970 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- phi1 phi2) (- phi1 phi2))))))
62.970 * * * * [progress]: [ 124 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- phi1 phi2))))))>
62.971 * [simplify]: Simplifying (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))
62.971 * * [simplify]: iters left: 6 (18 enodes)
62.977 * * [simplify]: iters left: 5 (79 enodes)
62.998 * * [simplify]: iters left: 4 (170 enodes)
63.066 * * [simplify]: Extracting #0: cost 1 inf + 0
63.067 * * [simplify]: Extracting #1: cost 41 inf + 0
63.067 * * [simplify]: Extracting #2: cost 130 inf + 0
63.068 * * [simplify]: Extracting #3: cost 201 inf + 738
63.069 * * [simplify]: Extracting #4: cost 180 inf + 4064
63.073 * * [simplify]: Extracting #5: cost 110 inf + 27300
63.097 * * [simplify]: Extracting #6: cost 3 inf + 67769
63.112 * * [simplify]: Extracting #7: cost 0 inf + 68629
63.123 * [simplify]: Simplified to (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))
63.124 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- phi1 phi2))))))
63.124 * [simplify]: Simplifying (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))
63.124 * * [simplify]: iters left: 6 (9 enodes)
63.126 * * [simplify]: iters left: 5 (41 enodes)
63.134 * * [simplify]: iters left: 4 (99 enodes)
63.175 * * [simplify]: iters left: 3 (265 enodes)
63.293 * * [simplify]: Extracting #0: cost 1 inf + 0
63.293 * * [simplify]: Extracting #1: cost 32 inf + 0
63.293 * * [simplify]: Extracting #2: cost 82 inf + 0
63.294 * * [simplify]: Extracting #3: cost 87 inf + 3
63.296 * * [simplify]: Extracting #4: cost 47 inf + 5757
63.302 * * [simplify]: Extracting #5: cost 2 inf + 14985
63.309 * * [simplify]: Extracting #6: cost 0 inf + 15178
63.317 * [simplify]: Simplified to (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))
63.317 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (- phi1 phi2) (- phi1 phi2))))))
63.317 * * * * [progress]: [ 125 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- phi1 phi2))))))>
63.318 * [simplify]: Simplifying (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))
63.318 * * [simplify]: iters left: 6 (13 enodes)
63.324 * * [simplify]: iters left: 5 (53 enodes)
63.343 * * [simplify]: iters left: 4 (118 enodes)
63.403 * * [simplify]: iters left: 3 (498 enodes)
64.035 * * [simplify]: Extracting #0: cost 1 inf + 0
64.035 * * [simplify]: Extracting #1: cost 82 inf + 0
64.036 * * [simplify]: Extracting #2: cost 437 inf + 0
64.039 * * [simplify]: Extracting #3: cost 660 inf + 4629
64.049 * * [simplify]: Extracting #4: cost 507 inf + 29884
64.073 * * [simplify]: Extracting #5: cost 274 inf + 104553
64.139 * * [simplify]: Extracting #6: cost 8 inf + 199205
64.236 * * [simplify]: Extracting #7: cost 0 inf + 202325
64.297 * [simplify]: Simplified to (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))
64.297 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- phi1 phi2))))))
64.298 * [simplify]: Simplifying (* (+ lambda1 lambda2) (+ lambda1 lambda2))
64.298 * * [simplify]: iters left: 4 (4 enodes)
64.299 * * [simplify]: iters left: 3 (19 enodes)
64.302 * * [simplify]: iters left: 2 (41 enodes)
64.309 * * [simplify]: iters left: 1 (77 enodes)
64.320 * * [simplify]: Extracting #0: cost 1 inf + 0
64.320 * * [simplify]: Extracting #1: cost 11 inf + 0
64.321 * * [simplify]: Extracting #2: cost 29 inf + 0
64.321 * * [simplify]: Extracting #3: cost 24 inf + 127
64.322 * * [simplify]: Extracting #4: cost 4 inf + 1844
64.323 * * [simplify]: Extracting #5: cost 0 inf + 2332
64.324 * * [simplify]: Extracting #6: cost 0 inf + 2292
64.325 * [simplify]: Simplified to (* (+ lambda2 lambda1) (+ lambda2 lambda1))
64.325 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (- phi1 phi2))))))
64.326 * * * * [progress]: [ 126 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* 1 (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (- phi1 phi2) (- phi1 phi2))))))>
64.326 * * * * [progress]: [ 127 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))>
64.326 * [simplify]: Simplifying (* (- lambda1 lambda2) (- lambda1 lambda2))
64.326 * * [simplify]: iters left: 4 (4 enodes)
64.328 * * [simplify]: iters left: 3 (14 enodes)
64.332 * * [simplify]: iters left: 2 (23 enodes)
64.342 * * [simplify]: iters left: 1 (49 enodes)
64.361 * * [simplify]: Extracting #0: cost 1 inf + 0
64.361 * * [simplify]: Extracting #1: cost 17 inf + 0
64.361 * * [simplify]: Extracting #2: cost 32 inf + 0
64.361 * * [simplify]: Extracting #3: cost 30 inf + 43
64.362 * * [simplify]: Extracting #4: cost 7 inf + 2364
64.364 * * [simplify]: Extracting #5: cost 0 inf + 3176
64.365 * [simplify]: Simplified to (* (- lambda1 lambda2) (- lambda1 lambda2))
64.365 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))
64.366 * [simplify]: Simplifying (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))
64.366 * * [simplify]: iters left: 6 (7 enodes)
64.370 * * [simplify]: iters left: 5 (22 enodes)
64.375 * * [simplify]: Extracting #0: cost 1 inf + 0
64.376 * * [simplify]: Extracting #1: cost 3 inf + 0
64.376 * * [simplify]: Extracting #2: cost 5 inf + 0
64.376 * * [simplify]: Extracting #3: cost 8 inf + 0
64.376 * * [simplify]: Extracting #4: cost 10 inf + 1
64.376 * * [simplify]: Extracting #5: cost 8 inf + 3
64.376 * * [simplify]: Extracting #6: cost 1 inf + 722
64.376 * * [simplify]: Extracting #7: cost 0 inf + 905
64.376 * [simplify]: Simplified to (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2)))
64.376 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))
64.376 * * * * [progress]: [ 128 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* 2 1)) (* (- phi1 phi2) (- phi1 phi2))))))>
64.377 * [simplify]: Simplifying (* 2 1)
64.377 * * [simplify]: iters left: 2 (3 enodes)
64.378 * * [simplify]: iters left: 1 (9 enodes)
64.380 * * [simplify]: Extracting #0: cost 1 inf + 0
64.380 * * [simplify]: Extracting #1: cost 0 inf + 1
64.380 * [simplify]: Simplified to 2
64.380 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 2) (* (- phi1 phi2) (- phi1 phi2))))))
64.380 * * * * [progress]: [ 129 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* 2 1)) (* (- phi1 phi2) (- phi1 phi2))))))>
64.380 * [simplify]: Simplifying (* 2 1)
64.380 * * [simplify]: iters left: 2 (3 enodes)
64.381 * * [simplify]: iters left: 1 (9 enodes)
64.383 * * [simplify]: Extracting #0: cost 1 inf + 0
64.383 * * [simplify]: Extracting #1: cost 0 inf + 1
64.383 * [simplify]: Simplified to 2
64.383 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 2) (* (- phi1 phi2) (- phi1 phi2))))))
64.383 * * * * [progress]: [ 130 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* 2 1)) (* (- phi1 phi2) (- phi1 phi2))))))>
64.383 * [simplify]: Simplifying (* 2 1)
64.383 * * [simplify]: iters left: 2 (3 enodes)
64.384 * * [simplify]: iters left: 1 (9 enodes)
64.386 * * [simplify]: Extracting #0: cost 1 inf + 0
64.386 * * [simplify]: Extracting #1: cost 0 inf + 1
64.386 * [simplify]: Simplified to 2
64.386 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 2) (* (- phi1 phi2) (- phi1 phi2))))))
64.386 * * * * [progress]: [ 131 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* 2 1)) (* (- phi1 phi2) (- phi1 phi2))))))>
64.386 * [simplify]: Simplifying (* 2 1)
64.387 * * [simplify]: iters left: 2 (3 enodes)
64.388 * * [simplify]: iters left: 1 (9 enodes)
64.389 * * [simplify]: Extracting #0: cost 1 inf + 0
64.389 * * [simplify]: Extracting #1: cost 0 inf + 1
64.389 * [simplify]: Simplified to 2
64.389 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 2) (* (- phi1 phi2) (- phi1 phi2))))))
64.389 * * * * [progress]: [ 132 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- phi1 phi2) (- phi1 phi2))))))>
64.390 * [simplify]: Simplifying (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2))
64.390 * * [simplify]: iters left: 6 (11 enodes)
64.392 * * [simplify]: iters left: 5 (38 enodes)
64.402 * * [simplify]: iters left: 4 (56 enodes)
64.423 * * [simplify]: iters left: 3 (134 enodes)
64.450 * * [simplify]: iters left: 2 (282 enodes)
64.569 * * [simplify]: Extracting #0: cost 1 inf + 0
64.569 * * [simplify]: Extracting #1: cost 17 inf + 0
64.569 * * [simplify]: Extracting #2: cost 82 inf + 0
64.570 * * [simplify]: Extracting #3: cost 101 inf + 2
64.570 * * [simplify]: Extracting #4: cost 89 inf + 741
64.571 * * [simplify]: Extracting #5: cost 63 inf + 4080
64.574 * * [simplify]: Extracting #6: cost 13 inf + 16308
64.579 * * [simplify]: Extracting #7: cost 0 inf + 19948
64.584 * * [simplify]: Extracting #8: cost 0 inf + 19868
64.589 * [simplify]: Simplified to (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- lambda1 lambda2)))
64.589 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (- phi1 phi2) (- phi1 phi2))))))
64.589 * * * * [progress]: [ 133 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (- phi1 phi2) (- phi1 phi2))))))>
64.589 * [simplify]: Simplifying (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))
64.589 * * [simplify]: iters left: 6 (11 enodes)
64.594 * * [simplify]: iters left: 5 (38 enodes)
64.605 * * [simplify]: iters left: 4 (50 enodes)
64.621 * * [simplify]: iters left: 3 (86 enodes)
64.648 * * [simplify]: iters left: 2 (124 enodes)
64.681 * * [simplify]: iters left: 1 (144 enodes)
64.698 * * [simplify]: Extracting #0: cost 1 inf + 0
64.698 * * [simplify]: Extracting #1: cost 9 inf + 0
64.698 * * [simplify]: Extracting #2: cost 25 inf + 0
64.698 * * [simplify]: Extracting #3: cost 29 inf + 127
64.698 * * [simplify]: Extracting #4: cost 30 inf + 169
64.698 * * [simplify]: Extracting #5: cost 28 inf + 171
64.699 * * [simplify]: Extracting #6: cost 22 inf + 747
64.699 * * [simplify]: Extracting #7: cost 3 inf + 4801
64.701 * * [simplify]: Extracting #8: cost 0 inf + 5473
64.702 * [simplify]: Simplified to (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))
64.702 * [simplify]: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (- lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))
64.702 * * * * [progress]: [ 134 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- phi1 phi2))))))>
64.702 * [simplify]: Simplifying (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))
64.702 * * [simplify]: iters left: 6 (16 enodes)
64.707 * * [simplify]: iters left: 5 (72 enodes)
64.726 * * [simplify]: iters left: 4 (152 enodes)
64.774 * * [simplify]: Extracting #0: cost 1 inf + 0
64.774 * * [simplify]: Extracting #1: cost 34 inf + 0
64.774 * * [simplify]: Extracting #2: cost 92 inf + 0
64.775 * * [simplify]: Extracting #3: cost 163 inf + 2
64.775 * * [simplify]: Extracting #4: cost 154 inf + 2774
64.777 * * [simplify]: Extracting #5: cost 122 inf + 9221
64.782 * * [simplify]: Extracting #6: cost 20 inf + 45381
64.790 * * [simplify]: Extracting #7: cost 0 inf + 53114
64.803 * [simplify]: Simplified to (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))
64.803 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- phi1 phi2))))))
64.803 * * * * [progress]: [ 135 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- phi1 phi2))))))>
64.803 * [simplify]: Simplifying (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))
64.804 * * [simplify]: iters left: 6 (15 enodes)
64.810 * * [simplify]: iters left: 5 (59 enodes)
64.827 * * [simplify]: iters left: 4 (120 enodes)
64.881 * * [simplify]: Extracting #0: cost 1 inf + 0
64.881 * * [simplify]: Extracting #1: cost 39 inf + 0
64.882 * * [simplify]: Extracting #2: cost 127 inf + 0
64.883 * * [simplify]: Extracting #3: cost 156 inf + 614
64.884 * * [simplify]: Extracting #4: cost 132 inf + 2981
64.887 * * [simplify]: Extracting #5: cost 117 inf + 5225
64.895 * * [simplify]: Extracting #6: cost 43 inf + 26988
64.903 * * [simplify]: Extracting #7: cost 0 inf + 40609
64.911 * [simplify]: Simplified to (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda2 lambda1)))
64.911 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ lambda2 lambda1))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- phi1 phi2))))))
64.911 * * * * [progress]: [ 136 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- phi1 phi2))))))>
64.912 * [simplify]: Simplifying (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))
64.912 * * [simplify]: iters left: 6 (16 enodes)
64.917 * * [simplify]: iters left: 5 (72 enodes)
64.935 * * [simplify]: iters left: 4 (152 enodes)
64.988 * * [simplify]: iters left: 3 (473 enodes)
65.222 * * [simplify]: Extracting #0: cost 1 inf + 0
65.222 * * [simplify]: Extracting #1: cost 48 inf + 0
65.222 * * [simplify]: Extracting #2: cost 307 inf + 0
65.228 * * [simplify]: Extracting #3: cost 552 inf + 126
65.231 * * [simplify]: Extracting #4: cost 511 inf + 7460
65.240 * * [simplify]: Extracting #5: cost 332 inf + 73310
65.285 * * [simplify]: Extracting #6: cost 21 inf + 205020
65.331 * * [simplify]: Extracting #7: cost 0 inf + 214578
65.399 * [simplify]: Simplified to (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))
65.399 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- phi1 phi2))))))
65.399 * * * * [progress]: [ 137 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- phi1 phi2))))))>
65.399 * [simplify]: Simplifying (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))
65.400 * * [simplify]: iters left: 6 (15 enodes)
65.405 * * [simplify]: iters left: 5 (59 enodes)
65.414 * * [simplify]: iters left: 4 (120 enodes)
65.458 * * [simplify]: iters left: 3 (468 enodes)
65.925 * * [simplify]: Extracting #0: cost 1 inf + 0
65.925 * * [simplify]: Extracting #1: cost 48 inf + 0
65.926 * * [simplify]: Extracting #2: cost 335 inf + 0
65.928 * * [simplify]: Extracting #3: cost 480 inf + 1020
65.932 * * [simplify]: Extracting #4: cost 410 inf + 10678
65.944 * * [simplify]: Extracting #5: cost 258 inf + 53279
65.981 * * [simplify]: Extracting #6: cost 18 inf + 135116
66.017 * * [simplify]: Extracting #7: cost 0 inf + 141523
66.087 * [simplify]: Simplified to (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))
66.087 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (+ lambda1 lambda2) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- phi1 phi2))))))
66.087 * * * * [progress]: [ 138 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (posit16->real (real->posit16 (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))>
66.088 * [simplify]: Simplifying (real->posit16 (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))
66.088 * * [simplify]: iters left: 6 (12 enodes)
66.095 * * [simplify]: iters left: 5 (44 enodes)
66.108 * * [simplify]: iters left: 4 (84 enodes)
66.128 * * [simplify]: iters left: 3 (250 enodes)
66.240 * * [simplify]: Extracting #0: cost 1 inf + 0
66.240 * * [simplify]: Extracting #1: cost 2 inf + 0
66.240 * * [simplify]: Extracting #2: cost 27 inf + 0
66.240 * * [simplify]: Extracting #3: cost 117 inf + 0
66.241 * * [simplify]: Extracting #4: cost 157 inf + 291
66.242 * * [simplify]: Extracting #5: cost 134 inf + 3337
66.243 * * [simplify]: Extracting #6: cost 121 inf + 5108
66.248 * * [simplify]: Extracting #7: cost 34 inf + 28477
66.259 * * [simplify]: Extracting #8: cost 0 inf + 38879
66.268 * [simplify]: Simplified to (real->posit16 (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))
66.268 * [simplify]: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (posit16->real (real->posit16 (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))
66.268 * * * * [progress]: [ 139 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))>
66.268 * * * * [progress]: [ 140 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (- phi2 phi1)))>
66.269 * [simplify]: Simplifying (- phi2 phi1)
66.269 * * [simplify]: iters left: 2 (3 enodes)
66.269 * * [simplify]: iters left: 1 (11 enodes)
66.271 * * [simplify]: Extracting #0: cost 1 inf + 0
66.271 * * [simplify]: Extracting #1: cost 5 inf + 0
66.271 * * [simplify]: Extracting #2: cost 3 inf + 43
66.271 * * [simplify]: Extracting #3: cost 0 inf + 168
66.271 * [simplify]: Simplified to (- phi2 phi1)
66.271 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- phi2 phi1)))
66.271 * * * * [progress]: [ 141 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (- (+ (/ (* lambda2 (* phi1 phi2)) (* (cos (* 1/2 (+ phi1 phi2))) (pow lambda1 2))) (+ (/ (* phi1 phi2) (* (cos (* 1/2 (+ phi1 phi2))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))))))>
66.271 * [simplify]: Simplifying (- (+ (/ (* lambda2 (* phi1 phi2)) (* (cos (* 1/2 (+ phi1 phi2))) (pow lambda1 2))) (+ (/ (* phi1 phi2) (* (cos (* 1/2 (+ phi1 phi2))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))))
66.271 * * [simplify]: iters left: 6 (20 enodes)
66.277 * * [simplify]: iters left: 5 (101 enodes)
66.302 * * [simplify]: iters left: 4 (236 enodes)
66.364 * * [simplify]: Extracting #0: cost 1 inf + 0
66.364 * * [simplify]: Extracting #1: cost 17 inf + 0
66.364 * * [simplify]: Extracting #2: cost 108 inf + 0
66.365 * * [simplify]: Extracting #3: cost 193 inf + 1478
66.367 * * [simplify]: Extracting #4: cost 170 inf + 5958
66.371 * * [simplify]: Extracting #5: cost 99 inf + 20187
66.380 * * [simplify]: Extracting #6: cost 5 inf + 47270
66.398 * * [simplify]: Extracting #7: cost 0 inf + 49274
66.414 * [simplify]: Simplified to (- (+ (* (/ phi2 (cos (* 1/2 (+ phi1 phi2)))) (+ (/ phi1 lambda1) (/ (* lambda2 phi1) (* lambda1 lambda1)))) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))
66.414 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (+ (* (/ phi2 (cos (* 1/2 (+ phi1 phi2)))) (+ (/ phi1 lambda1) (/ (* lambda2 phi1) (* lambda1 lambda1)))) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))))
66.414 * * * * [progress]: [ 142 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (+ (/ (* lambda2 (* phi1 phi2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))) (+ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) (/ (* phi1 phi2) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))))))>
66.414 * [simplify]: Simplifying (+ (/ (* lambda2 (* phi1 phi2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))) (+ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) (/ (* phi1 phi2) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))))
66.415 * * [simplify]: iters left: 6 (19 enodes)
66.420 * * [simplify]: iters left: 5 (95 enodes)
66.448 * * [simplify]: iters left: 4 (213 enodes)
66.502 * * [simplify]: Extracting #0: cost 1 inf + 0
66.502 * * [simplify]: Extracting #1: cost 8 inf + 0
66.502 * * [simplify]: Extracting #2: cost 96 inf + 0
66.503 * * [simplify]: Extracting #3: cost 156 inf + 460
66.506 * * [simplify]: Extracting #4: cost 113 inf + 5242
66.510 * * [simplify]: Extracting #5: cost 93 inf + 7303
66.518 * * [simplify]: Extracting #6: cost 32 inf + 21983
66.534 * * [simplify]: Extracting #7: cost 1 inf + 30137
66.548 * * [simplify]: Extracting #8: cost 0 inf + 30482
66.561 * [simplify]: Simplified to (+ (* (cos (* (+ phi1 phi2) 1/2)) lambda2) (* (/ phi2 (cos (* (+ phi1 phi2) 1/2))) (+ (/ phi1 lambda1) (/ (* lambda2 phi1) (* lambda1 lambda1)))))
66.561 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (+ (* (cos (* (+ phi1 phi2) 1/2)) lambda2) (* (/ phi2 (cos (* (+ phi1 phi2) 1/2))) (+ (/ phi1 lambda1) (/ (* lambda2 phi1) (* lambda1 lambda1)))))))
66.561 * * * * [progress]: [ 143 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))>
66.562 * [simplify]: Simplifying (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2))))
66.562 * * [simplify]: iters left: 6 (12 enodes)
66.570 * * [simplify]: iters left: 5 (52 enodes)
66.587 * * [simplify]: iters left: 4 (79 enodes)
66.614 * * [simplify]: iters left: 3 (149 enodes)
66.648 * * [simplify]: iters left: 2 (242 enodes)
66.702 * * [simplify]: iters left: 1 (300 enodes)
66.748 * * [simplify]: Extracting #0: cost 1 inf + 0
66.748 * * [simplify]: Extracting #1: cost 18 inf + 0
66.748 * * [simplify]: Extracting #2: cost 51 inf + 2
66.748 * * [simplify]: Extracting #3: cost 50 inf + 1156
66.750 * * [simplify]: Extracting #4: cost 13 inf + 4533
66.751 * * [simplify]: Extracting #5: cost 0 inf + 6262
66.753 * * [simplify]: Extracting #6: cost 0 inf + 6222
66.755 * [simplify]: Simplified to (- 1 (* phi1 (- (* phi2 1/4) (* phi1 -1/8))))
66.755 * [simplify]: Simplified (2 2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- 1 (* phi1 (- (* phi2 1/4) (* phi1 -1/8)))))) (* (- phi1 phi2) (- phi1 phi2))))))
66.755 * * * * [progress]: [ 144 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (* 1/2 (+ phi1 phi2))))) (* (- phi1 phi2) (- phi1 phi2))))))>
66.755 * [simplify]: Simplifying (cos (* 1/2 (+ phi1 phi2)))
66.755 * * [simplify]: iters left: 5 (6 enodes)
66.757 * * [simplify]: iters left: 4 (26 enodes)
66.761 * * [simplify]: iters left: 3 (36 enodes)
66.765 * * [simplify]: Extracting #0: cost 1 inf + 0
66.765 * * [simplify]: Extracting #1: cost 3 inf + 0
66.765 * * [simplify]: Extracting #2: cost 8 inf + 0
66.765 * * [simplify]: Extracting #3: cost 12 inf + 1
66.765 * * [simplify]: Extracting #4: cost 7 inf + 129
66.765 * * [simplify]: Extracting #5: cost 1 inf + 564
66.766 * * [simplify]: Extracting #6: cost 0 inf + 707
66.766 * [simplify]: Simplified to (cos (* (+ phi1 phi2) 1/2))
66.766 * [simplify]: Simplified (2 2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (* (+ phi1 phi2) 1/2)))) (* (- phi1 phi2) (- phi1 phi2))))))
66.766 * * * * [progress]: [ 145 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (* 1/2 (+ phi1 phi2))))) (* (- phi1 phi2) (- phi1 phi2))))))>
66.766 * [simplify]: Simplifying (cos (* 1/2 (+ phi1 phi2)))
66.766 * * [simplify]: iters left: 5 (6 enodes)
66.768 * * [simplify]: iters left: 4 (26 enodes)
66.772 * * [simplify]: iters left: 3 (36 enodes)
66.776 * * [simplify]: Extracting #0: cost 1 inf + 0
66.776 * * [simplify]: Extracting #1: cost 3 inf + 0
66.776 * * [simplify]: Extracting #2: cost 8 inf + 0
66.776 * * [simplify]: Extracting #3: cost 12 inf + 1
66.776 * * [simplify]: Extracting #4: cost 7 inf + 129
66.776 * * [simplify]: Extracting #5: cost 1 inf + 564
66.776 * * [simplify]: Extracting #6: cost 0 inf + 707
66.777 * [simplify]: Simplified to (cos (* (+ phi1 phi2) 1/2))
66.777 * [simplify]: Simplified (2 2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (* (+ phi1 phi2) 1/2)))) (* (- phi1 phi2) (- phi1 phi2))))))
66.777 * * * * [progress]: [ 146 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))>
66.777 * [simplify]: Simplifying (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2))))
66.777 * * [simplify]: iters left: 6 (12 enodes)
66.783 * * [simplify]: iters left: 5 (52 enodes)
66.791 * * [simplify]: iters left: 4 (79 enodes)
66.806 * * [simplify]: iters left: 3 (149 enodes)
66.837 * * [simplify]: iters left: 2 (242 enodes)
66.886 * * [simplify]: iters left: 1 (300 enodes)
66.951 * * [simplify]: Extracting #0: cost 1 inf + 0
66.951 * * [simplify]: Extracting #1: cost 18 inf + 0
66.951 * * [simplify]: Extracting #2: cost 51 inf + 2
66.952 * * [simplify]: Extracting #3: cost 50 inf + 1156
66.953 * * [simplify]: Extracting #4: cost 13 inf + 4533
66.955 * * [simplify]: Extracting #5: cost 0 inf + 6262
66.958 * * [simplify]: Extracting #6: cost 0 inf + 6222
66.960 * [simplify]: Simplified to (- 1 (* phi1 (- (* phi2 1/4) (* phi1 -1/8))))
66.960 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (- 1 (* phi1 (- (* phi2 1/4) (* phi1 -1/8))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))
66.960 * * * * [progress]: [ 147 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (* 1/2 (+ phi1 phi2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))>
66.961 * [simplify]: Simplifying (cos (* 1/2 (+ phi1 phi2)))
66.961 * * [simplify]: iters left: 5 (6 enodes)
66.962 * * [simplify]: iters left: 4 (26 enodes)
66.967 * * [simplify]: iters left: 3 (36 enodes)
66.971 * * [simplify]: Extracting #0: cost 1 inf + 0
66.971 * * [simplify]: Extracting #1: cost 3 inf + 0
66.971 * * [simplify]: Extracting #2: cost 8 inf + 0
66.972 * * [simplify]: Extracting #3: cost 12 inf + 1
66.972 * * [simplify]: Extracting #4: cost 7 inf + 129
66.972 * * [simplify]: Extracting #5: cost 1 inf + 564
66.972 * * [simplify]: Extracting #6: cost 0 inf + 707
66.972 * [simplify]: Simplified to (cos (* (+ phi1 phi2) 1/2))
66.972 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (* (+ phi1 phi2) 1/2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))
66.972 * * * * [progress]: [ 148 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (* 1/2 (+ phi1 phi2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))>
66.972 * [simplify]: Simplifying (cos (* 1/2 (+ phi1 phi2)))
66.972 * * [simplify]: iters left: 5 (6 enodes)
66.974 * * [simplify]: iters left: 4 (26 enodes)
66.979 * * [simplify]: iters left: 3 (36 enodes)
66.983 * * [simplify]: Extracting #0: cost 1 inf + 0
66.983 * * [simplify]: Extracting #1: cost 3 inf + 0
66.983 * * [simplify]: Extracting #2: cost 8 inf + 0
66.983 * * [simplify]: Extracting #3: cost 12 inf + 1
66.984 * * [simplify]: Extracting #4: cost 7 inf + 129
66.984 * * [simplify]: Extracting #5: cost 1 inf + 564
66.984 * * [simplify]: Extracting #6: cost 0 inf + 707
66.984 * [simplify]: Simplified to (cos (* (+ phi1 phi2) 1/2))
66.984 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (* (+ phi1 phi2) 1/2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))
66.984 * * * * [progress]: [ 149 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) (* (- phi1 phi2) (- phi1 phi2))))))>
66.985 * [simplify]: Simplifying (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1)))
66.985 * * [simplify]: iters left: 6 (9 enodes)
66.988 * * [simplify]: iters left: 5 (44 enodes)
66.996 * * [simplify]: iters left: 4 (79 enodes)
67.009 * * [simplify]: iters left: 3 (132 enodes)
67.030 * * [simplify]: iters left: 2 (163 enodes)
67.063 * * [simplify]: iters left: 1 (181 enodes)
67.106 * * [simplify]: Extracting #0: cost 1 inf + 0
67.106 * * [simplify]: Extracting #1: cost 16 inf + 0
67.106 * * [simplify]: Extracting #2: cost 40 inf + 0
67.106 * * [simplify]: Extracting #3: cost 39 inf + 459
67.107 * * [simplify]: Extracting #4: cost 9 inf + 2922
67.108 * * [simplify]: Extracting #5: cost 0 inf + 4108
67.109 * [simplify]: Simplified to (+ (* lambda2 lambda2) (* (- lambda1 (* lambda2 2)) lambda1))
67.109 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (+ (* lambda2 lambda2) (* (- lambda1 (* lambda2 2)) lambda1)) (* (- phi1 phi2) (- phi1 phi2))))))
67.110 * * * * [progress]: [ 150 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) (* (- phi1 phi2) (- phi1 phi2))))))>
67.110 * [simplify]: Simplifying (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))))
67.110 * * [simplify]: iters left: 6 (19 enodes)
67.115 * * [simplify]: iters left: 5 (90 enodes)
67.139 * * [simplify]: iters left: 4 (186 enodes)
67.187 * * [simplify]: iters left: 3 (431 enodes)
67.393 * * [simplify]: Extracting #0: cost 1 inf + 0
67.393 * * [simplify]: Extracting #1: cost 18 inf + 0
67.393 * * [simplify]: Extracting #2: cost 132 inf + 0
67.395 * * [simplify]: Extracting #3: cost 220 inf + 335
67.398 * * [simplify]: Extracting #4: cost 192 inf + 3934
67.402 * * [simplify]: Extracting #5: cost 190 inf + 4835
67.408 * * [simplify]: Extracting #6: cost 132 inf + 17912
67.435 * * [simplify]: Extracting #7: cost 12 inf + 50239
67.453 * * [simplify]: Extracting #8: cost 0 inf + 53615
67.466 * [simplify]: Simplified to (* (* (cos (* (+ phi1 phi2) 1/2)) (cos (* (+ phi1 phi2) 1/2))) (+ (* lambda2 (+ lambda2 (* -2 lambda1))) (* lambda1 lambda1)))
67.466 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (cos (* (+ phi1 phi2) 1/2)) (cos (* (+ phi1 phi2) 1/2))) (+ (* lambda2 (+ lambda2 (* -2 lambda1))) (* lambda1 lambda1))) (* (- phi1 phi2) (- phi1 phi2))))))
67.466 * * * * [progress]: [ 151 / 151 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) (* (- phi1 phi2) (- phi1 phi2))))))>
67.466 * [simplify]: Simplifying (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))))
67.467 * * [simplify]: iters left: 6 (19 enodes)
67.472 * * [simplify]: iters left: 5 (90 enodes)
67.498 * * [simplify]: iters left: 4 (186 enodes)
67.542 * * [simplify]: iters left: 3 (431 enodes)
67.714 * * [simplify]: Extracting #0: cost 1 inf + 0
67.714 * * [simplify]: Extracting #1: cost 18 inf + 0
67.714 * * [simplify]: Extracting #2: cost 132 inf + 0
67.716 * * [simplify]: Extracting #3: cost 220 inf + 335
67.719 * * [simplify]: Extracting #4: cost 192 inf + 3934
67.722 * * [simplify]: Extracting #5: cost 190 inf + 4835
67.729 * * [simplify]: Extracting #6: cost 132 inf + 17912
67.751 * * [simplify]: Extracting #7: cost 12 inf + 50239
67.777 * * [simplify]: Extracting #8: cost 0 inf + 53615
67.802 * [simplify]: Simplified to (* (* (cos (* (+ phi1 phi2) 1/2)) (cos (* (+ phi1 phi2) 1/2))) (+ (* lambda2 (+ lambda2 (* -2 lambda1))) (* lambda1 lambda1)))
67.802 * [simplify]: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (cos (* (+ phi1 phi2) 1/2)) (cos (* (+ phi1 phi2) 1/2))) (+ (* lambda2 (+ lambda2 (* -2 lambda1))) (* lambda1 lambda1))) (* (- phi1 phi2) (- phi1 phi2))))))
67.803 * * * [progress]: adding candidates to table
70.923 * * [progress]: iteration 2 / 4
70.923 * * * [progress]: picking best candidate
70.991 * * * * [pick]: Picked  #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))>
70.991 * * * [progress]: localizing error
71.093 * * * [progress]: generating rewritten candidates
71.093 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
71.548 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2)
71.599 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 2)
71.675 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 1)
73.404 * * * [progress]: generating series expansions
73.404 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
73.406 * [backup-simplify]: Simplify (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))) into (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))))
73.406 * [approximate]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in (lambda1 lambda2 phi1 phi2) around 0
73.406 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in phi2
73.406 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in phi2
73.406 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in phi2
73.406 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in phi2
73.406 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2
73.406 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2
73.406 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2
73.406 * [taylor]: Taking taylor expansion of 1/2 in phi2
73.406 * [backup-simplify]: Simplify 1/2 into 1/2
73.406 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2
73.406 * [taylor]: Taking taylor expansion of phi1 in phi2
73.406 * [backup-simplify]: Simplify phi1 into phi1
73.406 * [taylor]: Taking taylor expansion of phi2 in phi2
73.406 * [backup-simplify]: Simplify 0 into 0
73.406 * [backup-simplify]: Simplify 1 into 1
73.407 * [backup-simplify]: Simplify (+ phi1 0) into phi1
73.407 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1)
73.407 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
73.407 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
73.407 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1))
73.407 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0
73.408 * [backup-simplify]: Simplify (- 0) into 0
73.408 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1))
73.408 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2
73.408 * [taylor]: Taking taylor expansion of lambda1 in phi2
73.408 * [backup-simplify]: Simplify lambda1 into lambda1
73.408 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in phi2
73.408 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2
73.408 * [taylor]: Taking taylor expansion of phi2 in phi2
73.408 * [backup-simplify]: Simplify 0 into 0
73.408 * [backup-simplify]: Simplify 1 into 1
73.408 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in phi2
73.408 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2
73.408 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2
73.408 * [taylor]: Taking taylor expansion of lambda2 in phi2
73.408 * [backup-simplify]: Simplify lambda2 into lambda2
73.408 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2
73.408 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2
73.408 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2
73.408 * [taylor]: Taking taylor expansion of 1/2 in phi2
73.408 * [backup-simplify]: Simplify 1/2 into 1/2
73.409 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2
73.409 * [taylor]: Taking taylor expansion of phi1 in phi2
73.409 * [backup-simplify]: Simplify phi1 into phi1
73.409 * [taylor]: Taking taylor expansion of phi2 in phi2
73.409 * [backup-simplify]: Simplify 0 into 0
73.409 * [backup-simplify]: Simplify 1 into 1
73.433 * [backup-simplify]: Simplify (+ phi1 0) into phi1
73.433 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1)
73.433 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
73.433 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
73.433 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1))
73.434 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0
73.434 * [backup-simplify]: Simplify (- 0) into 0
73.434 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1))
73.435 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2
73.435 * [taylor]: Taking taylor expansion of phi1 in phi2
73.435 * [backup-simplify]: Simplify phi1 into phi1
73.435 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in phi2
73.435 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi2
73.435 * [taylor]: Taking taylor expansion of 2 in phi2
73.435 * [backup-simplify]: Simplify 2 into 2
73.435 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2
73.435 * [taylor]: Taking taylor expansion of phi1 in phi2
73.435 * [backup-simplify]: Simplify phi1 into phi1
73.435 * [taylor]: Taking taylor expansion of phi2 in phi2
73.435 * [backup-simplify]: Simplify 0 into 0
73.435 * [backup-simplify]: Simplify 1 into 1
73.435 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in phi2
73.435 * [taylor]: Taking taylor expansion of 2 in phi2
73.435 * [backup-simplify]: Simplify 2 into 2
73.435 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in phi2
73.435 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2
73.435 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2
73.435 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2
73.435 * [taylor]: Taking taylor expansion of 1/2 in phi2
73.435 * [backup-simplify]: Simplify 1/2 into 1/2
73.435 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2
73.435 * [taylor]: Taking taylor expansion of phi1 in phi2
73.435 * [backup-simplify]: Simplify phi1 into phi1
73.435 * [taylor]: Taking taylor expansion of phi2 in phi2
73.435 * [backup-simplify]: Simplify 0 into 0
73.435 * [backup-simplify]: Simplify 1 into 1
73.435 * [backup-simplify]: Simplify (+ phi1 0) into phi1
73.435 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1)
73.435 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
73.435 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
73.436 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1))
73.436 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0
73.436 * [backup-simplify]: Simplify (- 0) into 0
73.436 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1))
73.436 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi2
73.436 * [taylor]: Taking taylor expansion of lambda2 in phi2
73.436 * [backup-simplify]: Simplify lambda2 into lambda2
73.436 * [taylor]: Taking taylor expansion of lambda1 in phi2
73.436 * [backup-simplify]: Simplify lambda1 into lambda1
73.436 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2)
73.436 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2)
73.437 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) into (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2))
73.437 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2)
73.437 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2)
73.437 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2))
73.437 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2)
73.437 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))
73.438 * [backup-simplify]: Simplify (+ 0 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))
73.438 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2))))
73.438 * [backup-simplify]: Simplify (* phi1 0) into 0
73.439 * [backup-simplify]: Simplify (* 2 0) into 0
73.439 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2)
73.439 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
73.439 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi1)) 2) (* lambda2 lambda1)) into (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))
73.439 * [backup-simplify]: Simplify (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) into (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))
73.439 * [backup-simplify]: Simplify (+ 0 (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))
73.440 * [backup-simplify]: Simplify (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))
73.441 * [backup-simplify]: Simplify (+ (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) into (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))
73.442 * [backup-simplify]: Simplify (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) into (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))))
73.442 * [backup-simplify]: Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0
73.442 * [backup-simplify]: Simplify (+ 0) into 0
73.443 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0
73.443 * [backup-simplify]: Simplify (+ 0 1) into 1
73.444 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi1)) into 1/2
73.445 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
73.445 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1)))
73.445 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1))))
73.445 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1))))
73.446 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) (- (* 1/2 (sin (* 1/2 phi1))))) (* (- (* 1/2 (sin (* 1/2 phi1)))) (cos (* 1/2 phi1)))) into (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))
73.446 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) 0) (* (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) (pow lambda1 2))) into (- (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))))
73.446 * [backup-simplify]: Simplify (+ 0) into 0
73.447 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0
73.447 * [backup-simplify]: Simplify (+ 0 1) into 1
73.448 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi1)) into 1/2
73.449 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
73.449 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1)))
73.449 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1))))
73.449 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1))))
73.450 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) (- (* 1/2 (sin (* 1/2 phi1))))) (* (- (* 1/2 (sin (* 1/2 phi1)))) (cos (* 1/2 phi1)))) into (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))
73.450 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
73.450 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) (* 0 (pow (cos (* 1/2 phi1)) 2))) into (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))
73.450 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0
73.451 * [backup-simplify]: Simplify (+ (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 0) into (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))
73.451 * [backup-simplify]: Simplify (+ 0 (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) into (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))
73.451 * [backup-simplify]: Simplify (+ (- (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2)))) (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) into (- (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))
73.452 * [backup-simplify]: Simplify (+ (* phi1 1) (* 0 0)) into phi1
73.452 * [backup-simplify]: Simplify (+ (* 2 phi1) (* 0 0)) into (* 2 phi1)
73.452 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda1)) into 0
73.453 * [backup-simplify]: Simplify (+ 0) into 0
73.453 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0
73.454 * [backup-simplify]: Simplify (+ 0 1) into 1
73.454 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi1)) into 1/2
73.455 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
73.455 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1)))
73.455 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1))))
73.456 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1))))
73.456 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi1)) (- (* 1/2 (sin (* 1/2 phi1))))) (* (- (* 1/2 (sin (* 1/2 phi1)))) (cos (* 1/2 phi1)))) into (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))
73.456 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) 0) (* (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) (* lambda2 lambda1))) into (- (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1))))
73.457 * [backup-simplify]: Simplify (+ (* 2 (- (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1))))) (* 0 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))))
73.457 * [backup-simplify]: Simplify (+ (* 2 phi1) (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))))) into (- (* 2 phi1) (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))))
73.458 * [backup-simplify]: Simplify (- (- (* 2 phi1) (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))))) into (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (* 2 phi1))
73.459 * [backup-simplify]: Simplify (+ (- (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (* 2 phi1))) into (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (+ (* 2 phi1) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))))
73.460 * [backup-simplify]: Simplify (/ (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (+ (* 2 phi1) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))) (* 2 (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))))) into (* 1/2 (* (sqrt (/ 1 (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))))) (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (+ (* 2 phi1) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))))))
73.461 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in phi1
73.461 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in phi1
73.461 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in phi1
73.461 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in phi1
73.461 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1
73.461 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1
73.461 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1
73.461 * [taylor]: Taking taylor expansion of 1/2 in phi1
73.461 * [backup-simplify]: Simplify 1/2 into 1/2
73.461 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1
73.461 * [taylor]: Taking taylor expansion of phi1 in phi1
73.461 * [backup-simplify]: Simplify 0 into 0
73.461 * [backup-simplify]: Simplify 1 into 1
73.461 * [taylor]: Taking taylor expansion of phi2 in phi1
73.461 * [backup-simplify]: Simplify phi2 into phi2
73.461 * [backup-simplify]: Simplify (+ 0 phi2) into phi2
73.461 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2)
73.461 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
73.461 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
73.461 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
73.461 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0
73.462 * [backup-simplify]: Simplify (- 0) into 0
73.462 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
73.462 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1
73.462 * [taylor]: Taking taylor expansion of lambda1 in phi1
73.462 * [backup-simplify]: Simplify lambda1 into lambda1
73.462 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in phi1
73.462 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1
73.462 * [taylor]: Taking taylor expansion of phi2 in phi1
73.462 * [backup-simplify]: Simplify phi2 into phi2
73.462 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in phi1
73.462 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1
73.462 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1
73.462 * [taylor]: Taking taylor expansion of lambda2 in phi1
73.462 * [backup-simplify]: Simplify lambda2 into lambda2
73.462 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1
73.462 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1
73.462 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1
73.462 * [taylor]: Taking taylor expansion of 1/2 in phi1
73.462 * [backup-simplify]: Simplify 1/2 into 1/2
73.462 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1
73.462 * [taylor]: Taking taylor expansion of phi1 in phi1
73.462 * [backup-simplify]: Simplify 0 into 0
73.462 * [backup-simplify]: Simplify 1 into 1
73.462 * [taylor]: Taking taylor expansion of phi2 in phi1
73.463 * [backup-simplify]: Simplify phi2 into phi2
73.463 * [backup-simplify]: Simplify (+ 0 phi2) into phi2
73.463 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2)
73.463 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
73.463 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
73.463 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
73.463 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0
73.463 * [backup-simplify]: Simplify (- 0) into 0
73.463 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
73.463 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1
73.463 * [taylor]: Taking taylor expansion of phi1 in phi1
73.463 * [backup-simplify]: Simplify 0 into 0
73.464 * [backup-simplify]: Simplify 1 into 1
73.464 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in phi1
73.464 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1
73.464 * [taylor]: Taking taylor expansion of 2 in phi1
73.464 * [backup-simplify]: Simplify 2 into 2
73.464 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1
73.464 * [taylor]: Taking taylor expansion of phi1 in phi1
73.464 * [backup-simplify]: Simplify 0 into 0
73.464 * [backup-simplify]: Simplify 1 into 1
73.464 * [taylor]: Taking taylor expansion of phi2 in phi1
73.464 * [backup-simplify]: Simplify phi2 into phi2
73.464 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in phi1
73.464 * [taylor]: Taking taylor expansion of 2 in phi1
73.464 * [backup-simplify]: Simplify 2 into 2
73.464 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in phi1
73.464 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1
73.464 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1
73.464 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1
73.464 * [taylor]: Taking taylor expansion of 1/2 in phi1
73.464 * [backup-simplify]: Simplify 1/2 into 1/2
73.464 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1
73.464 * [taylor]: Taking taylor expansion of phi1 in phi1
73.464 * [backup-simplify]: Simplify 0 into 0
73.464 * [backup-simplify]: Simplify 1 into 1
73.464 * [taylor]: Taking taylor expansion of phi2 in phi1
73.464 * [backup-simplify]: Simplify phi2 into phi2
73.464 * [backup-simplify]: Simplify (+ 0 phi2) into phi2
73.464 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2)
73.464 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
73.464 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
73.464 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
73.465 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0
73.465 * [backup-simplify]: Simplify (- 0) into 0
73.465 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
73.465 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi1
73.465 * [taylor]: Taking taylor expansion of lambda2 in phi1
73.465 * [backup-simplify]: Simplify lambda2 into lambda2
73.465 * [taylor]: Taking taylor expansion of lambda1 in phi1
73.465 * [backup-simplify]: Simplify lambda1 into lambda1
73.465 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2)
73.465 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2)
73.465 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2))
73.465 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
73.466 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2)
73.466 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2)
73.466 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 phi2)) 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))
73.466 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 0) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))
73.466 * [backup-simplify]: Simplify (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) into (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))
73.467 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) into (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))))
73.467 * [backup-simplify]: Simplify (* 0 phi2) into 0
73.467 * [backup-simplify]: Simplify (* 2 0) into 0
73.467 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2)
73.467 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
73.468 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) into (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))
73.468 * [backup-simplify]: Simplify (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) into (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))
73.468 * [backup-simplify]: Simplify (+ 0 (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))
73.468 * [backup-simplify]: Simplify (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))
73.469 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) into (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))
73.470 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))
73.470 * [backup-simplify]: Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0
73.471 * [backup-simplify]: Simplify (+ 0) into 0
73.471 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0
73.472 * [backup-simplify]: Simplify (+ 1 0) into 1
73.472 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2
73.473 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
73.474 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2)))
73.474 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2))))
73.474 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2))))
73.474 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))))
73.475 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) 0) (* (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) (pow lambda1 2))) into (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2))))))
73.475 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0
73.476 * [backup-simplify]: Simplify (+ 0) into 0
73.476 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0
73.476 * [backup-simplify]: Simplify (+ 1 0) into 1
73.477 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2
73.478 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
73.478 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2)))
73.478 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2))))
73.478 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2))))
73.479 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))))
73.479 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
73.479 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))))) (* 0 (pow (cos (* 1/2 phi2)) 2))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))))))
73.480 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 0) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))))))
73.481 * [backup-simplify]: Simplify (+ 0 (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))))))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))))))
73.483 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))))) (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))))))) into (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))))
73.484 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2
73.484 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2)
73.484 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda1)) into 0
73.484 * [backup-simplify]: Simplify (+ 0) into 0
73.485 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0
73.485 * [backup-simplify]: Simplify (+ 1 0) into 1
73.486 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2
73.487 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
73.487 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2)))
73.487 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2))))
73.487 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2))))
73.488 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))))
73.488 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) 0) (* (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) (* lambda2 lambda1))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1))))))
73.489 * [backup-simplify]: Simplify (+ (* 2 (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1))))))) (* 0 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))))
73.490 * [backup-simplify]: Simplify (+ (* 2 phi2) (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))))) into (- (* 2 phi2) (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))))
73.491 * [backup-simplify]: Simplify (- (- (* 2 phi2) (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))))) into (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (* 2 phi2))
73.493 * [backup-simplify]: Simplify (+ (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))))) (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (* 2 phi2))) into (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* 2 phi2) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))))))
73.497 * [backup-simplify]: Simplify (/ (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* 2 phi2) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) into (* 1/2 (* (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* 2 phi2) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))))
73.497 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda2
73.497 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda2
73.497 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda2
73.497 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda2
73.497 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
73.497 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
73.497 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
73.497 * [taylor]: Taking taylor expansion of 1/2 in lambda2
73.497 * [backup-simplify]: Simplify 1/2 into 1/2
73.497 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2
73.497 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.497 * [backup-simplify]: Simplify phi1 into phi1
73.497 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.497 * [backup-simplify]: Simplify phi2 into phi2
73.497 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
73.497 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
73.497 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
73.497 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
73.498 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
73.498 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
73.498 * [backup-simplify]: Simplify (- 0) into 0
73.498 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
73.498 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2
73.498 * [taylor]: Taking taylor expansion of lambda1 in lambda2
73.498 * [backup-simplify]: Simplify lambda1 into lambda1
73.498 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2
73.498 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2
73.499 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.499 * [backup-simplify]: Simplify phi2 into phi2
73.499 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2
73.499 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2
73.499 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2
73.499 * [taylor]: Taking taylor expansion of lambda2 in lambda2
73.499 * [backup-simplify]: Simplify 0 into 0
73.499 * [backup-simplify]: Simplify 1 into 1
73.499 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
73.499 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
73.499 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
73.499 * [taylor]: Taking taylor expansion of 1/2 in lambda2
73.499 * [backup-simplify]: Simplify 1/2 into 1/2
73.499 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2
73.499 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.499 * [backup-simplify]: Simplify phi1 into phi1
73.499 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.499 * [backup-simplify]: Simplify phi2 into phi2
73.499 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
73.499 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
73.499 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
73.499 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
73.499 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
73.499 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
73.500 * [backup-simplify]: Simplify (- 0) into 0
73.500 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
73.500 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2
73.500 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.500 * [backup-simplify]: Simplify phi1 into phi1
73.500 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda2
73.500 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2
73.500 * [taylor]: Taking taylor expansion of 2 in lambda2
73.500 * [backup-simplify]: Simplify 2 into 2
73.500 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2
73.500 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.500 * [backup-simplify]: Simplify phi1 into phi1
73.500 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.500 * [backup-simplify]: Simplify phi2 into phi2
73.500 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda2
73.500 * [taylor]: Taking taylor expansion of 2 in lambda2
73.500 * [backup-simplify]: Simplify 2 into 2
73.500 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda2
73.500 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
73.500 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
73.500 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
73.500 * [taylor]: Taking taylor expansion of 1/2 in lambda2
73.500 * [backup-simplify]: Simplify 1/2 into 1/2
73.500 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2
73.500 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.501 * [backup-simplify]: Simplify phi1 into phi1
73.501 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.501 * [backup-simplify]: Simplify phi2 into phi2
73.501 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
73.501 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
73.501 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
73.501 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
73.501 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
73.501 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
73.501 * [backup-simplify]: Simplify (- 0) into 0
73.502 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
73.502 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda2
73.502 * [taylor]: Taking taylor expansion of lambda2 in lambda2
73.502 * [backup-simplify]: Simplify 0 into 0
73.502 * [backup-simplify]: Simplify 1 into 1
73.502 * [taylor]: Taking taylor expansion of lambda1 in lambda2
73.502 * [backup-simplify]: Simplify lambda1 into lambda1
73.502 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
73.502 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2)
73.502 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) into (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))
73.502 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
73.502 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2)
73.502 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2)
73.502 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2))
73.503 * [backup-simplify]: Simplify (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (+ (pow phi2 2) (pow phi1 2))) into (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
73.503 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2)
73.503 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2))
73.503 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
73.503 * [backup-simplify]: Simplify (* 0 lambda1) into 0
73.503 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0
73.504 * [backup-simplify]: Simplify (* 2 0) into 0
73.504 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2))
73.504 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2)))
73.505 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))
73.505 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2))))
73.505 * [backup-simplify]: Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0
73.506 * [backup-simplify]: Simplify (+ 0) into 0
73.506 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
73.507 * [backup-simplify]: Simplify (+ 0 0) into 0
73.507 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0
73.508 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
73.509 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
73.509 * [backup-simplify]: Simplify (- 0) into 0
73.509 * [backup-simplify]: Simplify (+ 0 0) into 0
73.509 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0
73.510 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) (* 0 (pow lambda1 2))) into 0
73.510 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0
73.510 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0
73.510 * [backup-simplify]: Simplify (+ 0 0) into 0
73.511 * [backup-simplify]: Simplify (+ 0 0) into 0
73.511 * [backup-simplify]: Simplify (+ 0 0) into 0
73.511 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0
73.512 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0
73.512 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda1)) into lambda1
73.512 * [backup-simplify]: Simplify (+ 0) into 0
73.513 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
73.513 * [backup-simplify]: Simplify (+ 0 0) into 0
73.514 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0
73.515 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
73.515 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
73.515 * [backup-simplify]: Simplify (- 0) into 0
73.516 * [backup-simplify]: Simplify (+ 0 0) into 0
73.516 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0
73.517 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1) (* 0 0)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)
73.517 * [backup-simplify]: Simplify (+ (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)) (* 0 0)) into (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))
73.518 * [backup-simplify]: Simplify (+ 0 (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) into (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))
73.518 * [backup-simplify]: Simplify (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)))
73.518 * [backup-simplify]: Simplify (+ 0 (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)))
73.519 * [backup-simplify]: Simplify (/ (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))))))
73.519 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda1
73.519 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda1
73.519 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda1
73.519 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda1
73.519 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1
73.519 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1
73.519 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1
73.519 * [taylor]: Taking taylor expansion of 1/2 in lambda1
73.519 * [backup-simplify]: Simplify 1/2 into 1/2
73.519 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1
73.520 * [taylor]: Taking taylor expansion of phi1 in lambda1
73.520 * [backup-simplify]: Simplify phi1 into phi1
73.520 * [taylor]: Taking taylor expansion of phi2 in lambda1
73.520 * [backup-simplify]: Simplify phi2 into phi2
73.520 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
73.520 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
73.520 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
73.520 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
73.520 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
73.520 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
73.520 * [backup-simplify]: Simplify (- 0) into 0
73.521 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
73.521 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1
73.521 * [taylor]: Taking taylor expansion of lambda1 in lambda1
73.521 * [backup-simplify]: Simplify 0 into 0
73.521 * [backup-simplify]: Simplify 1 into 1
73.521 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda1
73.521 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1
73.521 * [taylor]: Taking taylor expansion of phi2 in lambda1
73.521 * [backup-simplify]: Simplify phi2 into phi2
73.521 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda1
73.521 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1
73.521 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1
73.521 * [taylor]: Taking taylor expansion of lambda2 in lambda1
73.521 * [backup-simplify]: Simplify lambda2 into lambda2
73.521 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1
73.521 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1
73.521 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1
73.521 * [taylor]: Taking taylor expansion of 1/2 in lambda1
73.521 * [backup-simplify]: Simplify 1/2 into 1/2
73.521 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1
73.521 * [taylor]: Taking taylor expansion of phi1 in lambda1
73.521 * [backup-simplify]: Simplify phi1 into phi1
73.521 * [taylor]: Taking taylor expansion of phi2 in lambda1
73.521 * [backup-simplify]: Simplify phi2 into phi2
73.521 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
73.521 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
73.521 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
73.522 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
73.522 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
73.522 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
73.522 * [backup-simplify]: Simplify (- 0) into 0
73.522 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
73.522 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1
73.522 * [taylor]: Taking taylor expansion of phi1 in lambda1
73.522 * [backup-simplify]: Simplify phi1 into phi1
73.522 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda1
73.522 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda1
73.522 * [taylor]: Taking taylor expansion of 2 in lambda1
73.522 * [backup-simplify]: Simplify 2 into 2
73.523 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1
73.523 * [taylor]: Taking taylor expansion of phi1 in lambda1
73.523 * [backup-simplify]: Simplify phi1 into phi1
73.523 * [taylor]: Taking taylor expansion of phi2 in lambda1
73.523 * [backup-simplify]: Simplify phi2 into phi2
73.523 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda1
73.523 * [taylor]: Taking taylor expansion of 2 in lambda1
73.523 * [backup-simplify]: Simplify 2 into 2
73.523 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda1
73.523 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1
73.523 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1
73.523 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1
73.523 * [taylor]: Taking taylor expansion of 1/2 in lambda1
73.523 * [backup-simplify]: Simplify 1/2 into 1/2
73.523 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1
73.523 * [taylor]: Taking taylor expansion of phi1 in lambda1
73.523 * [backup-simplify]: Simplify phi1 into phi1
73.523 * [taylor]: Taking taylor expansion of phi2 in lambda1
73.523 * [backup-simplify]: Simplify phi2 into phi2
73.523 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
73.523 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
73.523 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
73.523 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
73.523 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
73.524 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
73.524 * [backup-simplify]: Simplify (- 0) into 0
73.524 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
73.524 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1
73.524 * [taylor]: Taking taylor expansion of lambda2 in lambda1
73.524 * [backup-simplify]: Simplify lambda2 into lambda2
73.524 * [taylor]: Taking taylor expansion of lambda1 in lambda1
73.524 * [backup-simplify]: Simplify 0 into 0
73.524 * [backup-simplify]: Simplify 1 into 1
73.524 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
73.524 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2)
73.525 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
73.525 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))
73.525 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2)
73.525 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))
73.526 * [backup-simplify]: Simplify (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))
73.526 * [backup-simplify]: Simplify (+ 0 (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))
73.526 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2)
73.526 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2))
73.526 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
73.527 * [backup-simplify]: Simplify (* lambda2 0) into 0
73.527 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0
73.527 * [backup-simplify]: Simplify (* 2 0) into 0
73.527 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2))
73.527 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2)))
73.528 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))
73.529 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))
73.529 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0
73.529 * [backup-simplify]: Simplify (+ 0) into 0
73.530 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
73.530 * [backup-simplify]: Simplify (+ 0 0) into 0
73.531 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0
73.531 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
73.532 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
73.532 * [backup-simplify]: Simplify (- 0) into 0
73.533 * [backup-simplify]: Simplify (+ 0 0) into 0
73.533 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0
73.533 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
73.533 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0
73.533 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0
73.534 * [backup-simplify]: Simplify (+ 0 0) into 0
73.534 * [backup-simplify]: Simplify (+ 0 0) into 0
73.534 * [backup-simplify]: Simplify (+ 0 0) into 0
73.535 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0
73.535 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0
73.535 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2
73.536 * [backup-simplify]: Simplify (+ 0) into 0
73.536 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
73.537 * [backup-simplify]: Simplify (+ 0 0) into 0
73.537 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0
73.538 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
73.538 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
73.539 * [backup-simplify]: Simplify (- 0) into 0
73.539 * [backup-simplify]: Simplify (+ 0 0) into 0
73.539 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0
73.540 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (* 0 0)) into (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))
73.541 * [backup-simplify]: Simplify (+ (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0)) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
73.541 * [backup-simplify]: Simplify (+ 0 (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
73.541 * [backup-simplify]: Simplify (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
73.541 * [backup-simplify]: Simplify (+ 0 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
73.542 * [backup-simplify]: Simplify (/ (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))))
73.542 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda1
73.542 * [taylor]: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda1
73.543 * [taylor]: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda1
73.543 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda1
73.543 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1
73.543 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1
73.543 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1
73.543 * [taylor]: Taking taylor expansion of 1/2 in lambda1
73.543 * [backup-simplify]: Simplify 1/2 into 1/2
73.543 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1
73.543 * [taylor]: Taking taylor expansion of phi1 in lambda1
73.543 * [backup-simplify]: Simplify phi1 into phi1
73.543 * [taylor]: Taking taylor expansion of phi2 in lambda1
73.543 * [backup-simplify]: Simplify phi2 into phi2
73.543 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
73.543 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
73.543 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
73.543 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
73.543 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
73.543 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
73.544 * [backup-simplify]: Simplify (- 0) into 0
73.544 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
73.544 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1
73.544 * [taylor]: Taking taylor expansion of lambda1 in lambda1
73.544 * [backup-simplify]: Simplify 0 into 0
73.544 * [backup-simplify]: Simplify 1 into 1
73.544 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda1
73.544 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1
73.544 * [taylor]: Taking taylor expansion of phi2 in lambda1
73.544 * [backup-simplify]: Simplify phi2 into phi2
73.544 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda1
73.544 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1
73.544 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1
73.544 * [taylor]: Taking taylor expansion of lambda2 in lambda1
73.544 * [backup-simplify]: Simplify lambda2 into lambda2
73.544 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1
73.544 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1
73.544 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1
73.544 * [taylor]: Taking taylor expansion of 1/2 in lambda1
73.544 * [backup-simplify]: Simplify 1/2 into 1/2
73.544 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1
73.544 * [taylor]: Taking taylor expansion of phi1 in lambda1
73.544 * [backup-simplify]: Simplify phi1 into phi1
73.544 * [taylor]: Taking taylor expansion of phi2 in lambda1
73.544 * [backup-simplify]: Simplify phi2 into phi2
73.545 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
73.545 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
73.545 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
73.545 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
73.545 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
73.545 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
73.545 * [backup-simplify]: Simplify (- 0) into 0
73.545 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
73.546 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1
73.546 * [taylor]: Taking taylor expansion of phi1 in lambda1
73.546 * [backup-simplify]: Simplify phi1 into phi1
73.546 * [taylor]: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda1
73.546 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda1
73.546 * [taylor]: Taking taylor expansion of 2 in lambda1
73.546 * [backup-simplify]: Simplify 2 into 2
73.546 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1
73.546 * [taylor]: Taking taylor expansion of phi1 in lambda1
73.546 * [backup-simplify]: Simplify phi1 into phi1
73.546 * [taylor]: Taking taylor expansion of phi2 in lambda1
73.546 * [backup-simplify]: Simplify phi2 into phi2
73.546 * [taylor]: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda1
73.546 * [taylor]: Taking taylor expansion of 2 in lambda1
73.546 * [backup-simplify]: Simplify 2 into 2
73.546 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda1
73.546 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1
73.546 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1
73.546 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1
73.546 * [taylor]: Taking taylor expansion of 1/2 in lambda1
73.546 * [backup-simplify]: Simplify 1/2 into 1/2
73.546 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1
73.546 * [taylor]: Taking taylor expansion of phi1 in lambda1
73.546 * [backup-simplify]: Simplify phi1 into phi1
73.546 * [taylor]: Taking taylor expansion of phi2 in lambda1
73.546 * [backup-simplify]: Simplify phi2 into phi2
73.546 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
73.546 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
73.546 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
73.546 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
73.547 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
73.547 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
73.547 * [backup-simplify]: Simplify (- 0) into 0
73.547 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
73.547 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1
73.547 * [taylor]: Taking taylor expansion of lambda2 in lambda1
73.547 * [backup-simplify]: Simplify lambda2 into lambda2
73.547 * [taylor]: Taking taylor expansion of lambda1 in lambda1
73.547 * [backup-simplify]: Simplify 0 into 0
73.547 * [backup-simplify]: Simplify 1 into 1
73.547 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
73.547 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2)
73.548 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
73.548 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))
73.548 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2)
73.548 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))
73.549 * [backup-simplify]: Simplify (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))
73.549 * [backup-simplify]: Simplify (+ 0 (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))
73.549 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2)
73.549 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2))
73.549 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
73.549 * [backup-simplify]: Simplify (* lambda2 0) into 0
73.550 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0
73.550 * [backup-simplify]: Simplify (* 2 0) into 0
73.550 * [backup-simplify]: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2))
73.550 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2)))
73.551 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))
73.552 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))
73.552 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0
73.552 * [backup-simplify]: Simplify (+ 0) into 0
73.553 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
73.553 * [backup-simplify]: Simplify (+ 0 0) into 0
73.554 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0
73.555 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
73.555 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
73.556 * [backup-simplify]: Simplify (- 0) into 0
73.556 * [backup-simplify]: Simplify (+ 0 0) into 0
73.557 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0
73.557 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
73.557 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0
73.557 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0
73.557 * [backup-simplify]: Simplify (+ 0 0) into 0
73.558 * [backup-simplify]: Simplify (+ 0 0) into 0
73.559 * [backup-simplify]: Simplify (+ 0 0) into 0
73.559 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0
73.559 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0
73.560 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2
73.560 * [backup-simplify]: Simplify (+ 0) into 0
73.561 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
73.561 * [backup-simplify]: Simplify (+ 0 0) into 0
73.561 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0
73.562 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
73.563 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
73.563 * [backup-simplify]: Simplify (- 0) into 0
73.563 * [backup-simplify]: Simplify (+ 0 0) into 0
73.564 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0
73.564 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (* 0 0)) into (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))
73.565 * [backup-simplify]: Simplify (+ (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0)) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
73.565 * [backup-simplify]: Simplify (+ 0 (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
73.565 * [backup-simplify]: Simplify (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
73.566 * [backup-simplify]: Simplify (+ 0 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
73.567 * [backup-simplify]: Simplify (/ (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))))
73.567 * [taylor]: Taking taylor expansion of (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2
73.567 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2
73.567 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2
73.567 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2
73.567 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.567 * [backup-simplify]: Simplify phi2 into phi2
73.567 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2
73.567 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2
73.567 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2
73.567 * [taylor]: Taking taylor expansion of lambda2 in lambda2
73.567 * [backup-simplify]: Simplify 0 into 0
73.567 * [backup-simplify]: Simplify 1 into 1
73.567 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
73.567 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
73.567 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
73.567 * [taylor]: Taking taylor expansion of 1/2 in lambda2
73.567 * [backup-simplify]: Simplify 1/2 into 1/2
73.567 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2
73.567 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.567 * [backup-simplify]: Simplify phi1 into phi1
73.567 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.567 * [backup-simplify]: Simplify phi2 into phi2
73.567 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
73.567 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
73.568 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
73.568 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
73.568 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
73.568 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
73.568 * [backup-simplify]: Simplify (- 0) into 0
73.568 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
73.569 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2
73.569 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.569 * [backup-simplify]: Simplify phi1 into phi1
73.569 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2
73.569 * [taylor]: Taking taylor expansion of 2 in lambda2
73.569 * [backup-simplify]: Simplify 2 into 2
73.569 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2
73.569 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.569 * [backup-simplify]: Simplify phi1 into phi1
73.569 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.569 * [backup-simplify]: Simplify phi2 into phi2
73.569 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
73.569 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2)
73.569 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2)
73.569 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2))
73.569 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2)
73.569 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2))
73.569 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2)))
73.570 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))
73.570 * [backup-simplify]: Simplify (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))
73.570 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0
73.570 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0
73.571 * [backup-simplify]: Simplify (+ 0 0) into 0
73.571 * [backup-simplify]: Simplify (+ 0 0) into 0
73.571 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0
73.572 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0
73.572 * [backup-simplify]: Simplify (- 0) into 0
73.573 * [backup-simplify]: Simplify (+ 0 0) into 0
73.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into 0
73.573 * [taylor]: Taking taylor expansion of (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1
73.573 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1
73.573 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1
73.573 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1
73.573 * [taylor]: Taking taylor expansion of phi2 in phi1
73.573 * [backup-simplify]: Simplify phi2 into phi2
73.573 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1
73.573 * [taylor]: Taking taylor expansion of phi1 in phi1
73.573 * [backup-simplify]: Simplify 0 into 0
73.574 * [backup-simplify]: Simplify 1 into 1
73.574 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1
73.574 * [taylor]: Taking taylor expansion of 2 in phi1
73.574 * [backup-simplify]: Simplify 2 into 2
73.574 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1
73.574 * [taylor]: Taking taylor expansion of phi1 in phi1
73.574 * [backup-simplify]: Simplify 0 into 0
73.574 * [backup-simplify]: Simplify 1 into 1
73.574 * [taylor]: Taking taylor expansion of phi2 in phi1
73.574 * [backup-simplify]: Simplify phi2 into phi2
73.574 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
73.574 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2)
73.574 * [backup-simplify]: Simplify (* 0 phi2) into 0
73.574 * [backup-simplify]: Simplify (* 2 0) into 0
73.575 * [backup-simplify]: Simplify (- 0) into 0
73.575 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2)
73.575 * [backup-simplify]: Simplify (sqrt (pow phi2 2)) into phi2
73.575 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0
73.576 * [backup-simplify]: Simplify (+ 0 0) into 0
73.578 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2
73.578 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2)
73.578 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2))
73.578 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2))
73.579 * [backup-simplify]: Simplify (/ (- (* 2 phi2)) (* 2 (sqrt (pow phi2 2)))) into -1
73.579 * [taylor]: Taking taylor expansion of phi2 in phi2
73.579 * [backup-simplify]: Simplify 0 into 0
73.579 * [backup-simplify]: Simplify 1 into 1
73.579 * [backup-simplify]: Simplify 0 into 0
73.579 * [taylor]: Taking taylor expansion of (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) in lambda2
73.579 * [taylor]: Taking taylor expansion of -1 in lambda2
73.579 * [backup-simplify]: Simplify -1 into -1
73.579 * [taylor]: Taking taylor expansion of (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) in lambda2
73.579 * [taylor]: Taking taylor expansion of (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2
73.579 * [taylor]: Taking taylor expansion of lambda2 in lambda2
73.579 * [backup-simplify]: Simplify 0 into 0
73.579 * [backup-simplify]: Simplify 1 into 1
73.579 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
73.579 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
73.579 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
73.579 * [taylor]: Taking taylor expansion of 1/2 in lambda2
73.579 * [backup-simplify]: Simplify 1/2 into 1/2
73.579 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2
73.579 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.579 * [backup-simplify]: Simplify phi1 into phi1
73.579 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.579 * [backup-simplify]: Simplify phi2 into phi2
73.579 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
73.579 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
73.579 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
73.580 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
73.580 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
73.580 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
73.580 * [backup-simplify]: Simplify (- 0) into 0
73.580 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
73.580 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2
73.580 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2
73.581 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2
73.581 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2
73.581 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2
73.581 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.581 * [backup-simplify]: Simplify phi2 into phi2
73.581 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2
73.581 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2
73.581 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2
73.581 * [taylor]: Taking taylor expansion of lambda2 in lambda2
73.581 * [backup-simplify]: Simplify 0 into 0
73.581 * [backup-simplify]: Simplify 1 into 1
73.581 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
73.581 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
73.581 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
73.581 * [taylor]: Taking taylor expansion of 1/2 in lambda2
73.581 * [backup-simplify]: Simplify 1/2 into 1/2
73.581 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2
73.581 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.581 * [backup-simplify]: Simplify phi1 into phi1
73.581 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.581 * [backup-simplify]: Simplify phi2 into phi2
73.581 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
73.581 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
73.581 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
73.581 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
73.581 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
73.581 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
73.582 * [backup-simplify]: Simplify (- 0) into 0
73.582 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
73.582 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2
73.582 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.582 * [backup-simplify]: Simplify phi1 into phi1
73.582 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2
73.582 * [taylor]: Taking taylor expansion of 2 in lambda2
73.582 * [backup-simplify]: Simplify 2 into 2
73.582 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2
73.582 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.582 * [backup-simplify]: Simplify phi1 into phi1
73.582 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.582 * [backup-simplify]: Simplify phi2 into phi2
73.582 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
73.582 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2)
73.583 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2)
73.583 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2))
73.583 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2)
73.583 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2))
73.583 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2)))
73.583 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))
73.583 * [backup-simplify]: Simplify (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))
73.584 * [backup-simplify]: Simplify (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) into (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))
73.584 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0
73.584 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0
73.585 * [backup-simplify]: Simplify (+ 0 0) into 0
73.585 * [backup-simplify]: Simplify (+ 0 0) into 0
73.585 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0
73.586 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0
73.586 * [backup-simplify]: Simplify (- 0) into 0
73.586 * [backup-simplify]: Simplify (+ 0 0) into 0
73.587 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) (/ 0 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0
73.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0
73.587 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
73.588 * [backup-simplify]: Simplify (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into 0
73.588 * [backup-simplify]: Simplify (* 0 (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into 0
73.588 * [backup-simplify]: Simplify (* -1 0) into 0
73.588 * [taylor]: Taking taylor expansion of 0 in phi1
73.588 * [backup-simplify]: Simplify 0 into 0
73.588 * [taylor]: Taking taylor expansion of 0 in phi2
73.589 * [backup-simplify]: Simplify 0 into 0
73.589 * [backup-simplify]: Simplify 0 into 0
73.589 * [taylor]: Taking taylor expansion of 0 in phi1
73.589 * [backup-simplify]: Simplify 0 into 0
73.589 * [taylor]: Taking taylor expansion of 0 in phi2
73.589 * [backup-simplify]: Simplify 0 into 0
73.589 * [backup-simplify]: Simplify 0 into 0
73.589 * [taylor]: Taking taylor expansion of -1 in phi2
73.589 * [backup-simplify]: Simplify -1 into -1
73.589 * [backup-simplify]: Simplify -1 into -1
73.589 * [backup-simplify]: Simplify 1 into 1
73.590 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
73.590 * [backup-simplify]: Simplify (* 1 1) into 1
73.590 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
73.591 * [backup-simplify]: Simplify (+ (* phi2 0) (+ (* 0 0) (* 0 phi2))) into 0
73.592 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
73.593 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0
73.593 * [backup-simplify]: Simplify (+ 0 0) into 0
73.594 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0
73.594 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
73.595 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0
73.595 * [backup-simplify]: Simplify (- 0) into 0
73.595 * [backup-simplify]: Simplify (+ 0 0) into 0
73.596 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0
73.596 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 0) (* 0 lambda2))) into 0
73.597 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (+ (* 0 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into 0
73.597 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi1))) into 0
73.598 * [backup-simplify]: Simplify (+ 0 0) into 0
73.598 * [backup-simplify]: Simplify (+ 0 0) into 0
73.598 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
73.598 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0
73.599 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* phi1 phi2)))) into 0
73.599 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 1) (* 0 0))) into 0
73.600 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
73.600 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0
73.601 * [backup-simplify]: Simplify (+ 0 0) into 0
73.601 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0
73.602 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
73.602 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0
73.602 * [backup-simplify]: Simplify (- 0) into 0
73.602 * [backup-simplify]: Simplify (+ 0 0) into 0
73.603 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0
73.603 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) (+ (* 0 lambda2) (* 0 0))) into 0
73.604 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0))) into 0
73.604 * [backup-simplify]: Simplify (+ 0 0) into 0
73.604 * [backup-simplify]: Simplify (- 0) into 0
73.604 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
73.606 * [backup-simplify]: Simplify (/ (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 2) (+)) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* 1/2 (* (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))))
73.606 * [taylor]: Taking taylor expansion of (* 1/2 (* (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) in lambda2
73.606 * [taylor]: Taking taylor expansion of 1/2 in lambda2
73.606 * [backup-simplify]: Simplify 1/2 into 1/2
73.606 * [taylor]: Taking taylor expansion of (* (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) in lambda2
73.606 * [taylor]: Taking taylor expansion of (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2
73.606 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
73.606 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
73.606 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
73.606 * [taylor]: Taking taylor expansion of 1/2 in lambda2
73.606 * [backup-simplify]: Simplify 1/2 into 1/2
73.606 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2
73.606 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.606 * [backup-simplify]: Simplify phi1 into phi1
73.606 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.606 * [backup-simplify]: Simplify phi2 into phi2
73.606 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
73.606 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
73.606 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
73.606 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
73.606 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
73.606 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
73.606 * [backup-simplify]: Simplify (- 0) into 0
73.607 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
73.607 * [taylor]: Taking taylor expansion of (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2
73.607 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) in lambda2
73.607 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2
73.607 * [taylor]: Taking taylor expansion of lambda2 in lambda2
73.607 * [backup-simplify]: Simplify 0 into 0
73.607 * [backup-simplify]: Simplify 1 into 1
73.607 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 4) in lambda2
73.607 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
73.607 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
73.607 * [taylor]: Taking taylor expansion of 1/2 in lambda2
73.607 * [backup-simplify]: Simplify 1/2 into 1/2
73.607 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2
73.607 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.607 * [backup-simplify]: Simplify phi1 into phi1
73.607 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.607 * [backup-simplify]: Simplify phi2 into phi2
73.607 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
73.607 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
73.607 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
73.607 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
73.607 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
73.607 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
73.607 * [backup-simplify]: Simplify (- 0) into 0
73.607 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
73.607 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2
73.607 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2
73.607 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2
73.607 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.607 * [backup-simplify]: Simplify phi2 into phi2
73.608 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2
73.608 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2
73.608 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2
73.608 * [taylor]: Taking taylor expansion of lambda2 in lambda2
73.608 * [backup-simplify]: Simplify 0 into 0
73.608 * [backup-simplify]: Simplify 1 into 1
73.608 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
73.608 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
73.608 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
73.608 * [taylor]: Taking taylor expansion of 1/2 in lambda2
73.608 * [backup-simplify]: Simplify 1/2 into 1/2
73.608 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2
73.608 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.608 * [backup-simplify]: Simplify phi1 into phi1
73.608 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.608 * [backup-simplify]: Simplify phi2 into phi2
73.608 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
73.608 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
73.608 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
73.608 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
73.608 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
73.608 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
73.608 * [backup-simplify]: Simplify (- 0) into 0
73.608 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
73.608 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2
73.608 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.608 * [backup-simplify]: Simplify phi1 into phi1
73.608 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2
73.608 * [taylor]: Taking taylor expansion of 2 in lambda2
73.608 * [backup-simplify]: Simplify 2 into 2
73.608 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2
73.609 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.609 * [backup-simplify]: Simplify phi1 into phi1
73.609 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.609 * [backup-simplify]: Simplify phi2 into phi2
73.609 * [backup-simplify]: Simplify (* 1 1) into 1
73.609 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
73.609 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 4)
73.609 * [backup-simplify]: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 4)) into (pow (cos (* 1/2 (+ phi1 phi2))) 4)
73.609 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
73.609 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2)
73.609 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2)
73.609 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2))
73.610 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2)
73.610 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2))
73.610 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2)))
73.610 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))
73.610 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 4) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (/ (pow (cos (* 1/2 (+ phi1 phi2))) 4) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))
73.610 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2
73.610 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2
73.610 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2
73.610 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2
73.610 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2
73.610 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.610 * [backup-simplify]: Simplify phi2 into phi2
73.610 * [taylor]: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2
73.610 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2
73.610 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2
73.610 * [taylor]: Taking taylor expansion of lambda2 in lambda2
73.610 * [backup-simplify]: Simplify 0 into 0
73.610 * [backup-simplify]: Simplify 1 into 1
73.610 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
73.610 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
73.610 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
73.610 * [taylor]: Taking taylor expansion of 1/2 in lambda2
73.610 * [backup-simplify]: Simplify 1/2 into 1/2
73.610 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2
73.610 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.610 * [backup-simplify]: Simplify phi1 into phi1
73.610 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.610 * [backup-simplify]: Simplify phi2 into phi2
73.611 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
73.611 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
73.611 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
73.611 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
73.611 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
73.611 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
73.611 * [backup-simplify]: Simplify (- 0) into 0
73.611 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
73.611 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2
73.611 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.611 * [backup-simplify]: Simplify phi1 into phi1
73.611 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2
73.611 * [taylor]: Taking taylor expansion of 2 in lambda2
73.611 * [backup-simplify]: Simplify 2 into 2
73.611 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2
73.611 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.611 * [backup-simplify]: Simplify phi1 into phi1
73.611 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.611 * [backup-simplify]: Simplify phi2 into phi2
73.611 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
73.611 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2)
73.611 * [backup-simplify]: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2)
73.611 * [backup-simplify]: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2))
73.612 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2)
73.612 * [backup-simplify]: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2))
73.612 * [backup-simplify]: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2)))
73.612 * [backup-simplify]: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))
73.612 * [backup-simplify]: Simplify (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))
73.612 * [backup-simplify]: Simplify (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) into (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))
73.612 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0
73.612 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0
73.612 * [backup-simplify]: Simplify (+ 0 0) into 0
73.613 * [backup-simplify]: Simplify (+ 0 0) into 0
73.613 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0
73.613 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0
73.613 * [backup-simplify]: Simplify (- 0) into 0
73.614 * [backup-simplify]: Simplify (+ 0 0) into 0
73.614 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) (/ 0 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0
73.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0
73.614 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
73.614 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
73.614 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))
73.615 * [backup-simplify]: Simplify (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))))
73.615 * [taylor]: Taking taylor expansion of (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) in phi1
73.615 * [taylor]: Taking taylor expansion of 1/2 in phi1
73.615 * [backup-simplify]: Simplify 1/2 into 1/2
73.615 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) in phi1
73.615 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1
73.615 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1
73.615 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1
73.615 * [taylor]: Taking taylor expansion of 1/2 in phi1
73.615 * [backup-simplify]: Simplify 1/2 into 1/2
73.615 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1
73.615 * [taylor]: Taking taylor expansion of phi1 in phi1
73.615 * [backup-simplify]: Simplify 0 into 0
73.615 * [backup-simplify]: Simplify 1 into 1
73.615 * [taylor]: Taking taylor expansion of phi2 in phi1
73.615 * [backup-simplify]: Simplify phi2 into phi2
73.615 * [backup-simplify]: Simplify (+ 0 phi2) into phi2
73.615 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2)
73.615 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
73.615 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
73.615 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
73.615 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0
73.616 * [backup-simplify]: Simplify (- 0) into 0
73.616 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
73.616 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) in phi1
73.616 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1
73.616 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1
73.616 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1
73.616 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1
73.616 * [taylor]: Taking taylor expansion of phi2 in phi1
73.616 * [backup-simplify]: Simplify phi2 into phi2
73.616 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1
73.616 * [taylor]: Taking taylor expansion of phi1 in phi1
73.616 * [backup-simplify]: Simplify 0 into 0
73.616 * [backup-simplify]: Simplify 1 into 1
73.616 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1
73.616 * [taylor]: Taking taylor expansion of 2 in phi1
73.616 * [backup-simplify]: Simplify 2 into 2
73.616 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1
73.616 * [taylor]: Taking taylor expansion of phi1 in phi1
73.616 * [backup-simplify]: Simplify 0 into 0
73.616 * [backup-simplify]: Simplify 1 into 1
73.616 * [taylor]: Taking taylor expansion of phi2 in phi1
73.616 * [backup-simplify]: Simplify phi2 into phi2
73.616 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
73.616 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2)
73.616 * [backup-simplify]: Simplify (* 0 phi2) into 0
73.616 * [backup-simplify]: Simplify (* 2 0) into 0
73.617 * [backup-simplify]: Simplify (- 0) into 0
73.617 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2)
73.617 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2))
73.617 * [backup-simplify]: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2)
73.617 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0
73.617 * [backup-simplify]: Simplify (+ 0 0) into 0
73.617 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2
73.618 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2)
73.618 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2))
73.618 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2))
73.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3)))
73.618 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2))
73.618 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2)
73.618 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2)
73.618 * [backup-simplify]: Simplify (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2))
73.618 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2
73.618 * [taylor]: Taking taylor expansion of 1/2 in phi2
73.618 * [backup-simplify]: Simplify 1/2 into 1/2
73.618 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2
73.618 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
73.618 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
73.618 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2
73.618 * [taylor]: Taking taylor expansion of 1/2 in phi2
73.618 * [backup-simplify]: Simplify 1/2 into 1/2
73.618 * [taylor]: Taking taylor expansion of phi2 in phi2
73.618 * [backup-simplify]: Simplify 0 into 0
73.618 * [backup-simplify]: Simplify 1 into 1
73.619 * [backup-simplify]: Simplify (* 1/2 0) into 0
73.619 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
73.619 * [taylor]: Taking taylor expansion of phi2 in phi2
73.619 * [backup-simplify]: Simplify 0 into 0
73.619 * [backup-simplify]: Simplify 1 into 1
73.620 * [backup-simplify]: Simplify (* 1 1) into 1
73.620 * [backup-simplify]: Simplify (/ 1 1) into 1
73.620 * [backup-simplify]: Simplify (+ 0) into 0
73.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
73.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
73.621 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
73.621 * [backup-simplify]: Simplify 0 into 0
73.622 * [backup-simplify]: Simplify (+ 0) into 0
73.622 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
73.622 * [backup-simplify]: Simplify (+ 0 0) into 0
73.623 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0
73.623 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
73.623 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
73.624 * [backup-simplify]: Simplify (- 0) into 0
73.624 * [backup-simplify]: Simplify (+ 0 0) into 0
73.624 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0
73.624 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
73.625 * [backup-simplify]: Simplify (+ (* 0 0) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))
73.625 * [backup-simplify]: Simplify (+ (* -1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) (* 0 0)) into (- (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))))
73.625 * [taylor]: Taking taylor expansion of (- (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) in phi1
73.625 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) in phi1
73.625 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1
73.625 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1
73.625 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1
73.625 * [taylor]: Taking taylor expansion of 1/2 in phi1
73.626 * [backup-simplify]: Simplify 1/2 into 1/2
73.626 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1
73.626 * [taylor]: Taking taylor expansion of phi1 in phi1
73.626 * [backup-simplify]: Simplify 0 into 0
73.626 * [backup-simplify]: Simplify 1 into 1
73.626 * [taylor]: Taking taylor expansion of phi2 in phi1
73.626 * [backup-simplify]: Simplify phi2 into phi2
73.626 * [backup-simplify]: Simplify (+ 0 phi2) into phi2
73.626 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2)
73.626 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
73.626 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
73.626 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
73.626 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0
73.626 * [backup-simplify]: Simplify (- 0) into 0
73.626 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
73.626 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) in phi1
73.626 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1
73.626 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1
73.626 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1
73.626 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1
73.626 * [taylor]: Taking taylor expansion of phi2 in phi1
73.626 * [backup-simplify]: Simplify phi2 into phi2
73.626 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1
73.626 * [taylor]: Taking taylor expansion of phi1 in phi1
73.626 * [backup-simplify]: Simplify 0 into 0
73.626 * [backup-simplify]: Simplify 1 into 1
73.626 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1
73.626 * [taylor]: Taking taylor expansion of 2 in phi1
73.626 * [backup-simplify]: Simplify 2 into 2
73.626 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1
73.626 * [taylor]: Taking taylor expansion of phi1 in phi1
73.626 * [backup-simplify]: Simplify 0 into 0
73.626 * [backup-simplify]: Simplify 1 into 1
73.626 * [taylor]: Taking taylor expansion of phi2 in phi1
73.626 * [backup-simplify]: Simplify phi2 into phi2
73.627 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
73.627 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2)
73.627 * [backup-simplify]: Simplify (* 0 phi2) into 0
73.627 * [backup-simplify]: Simplify (* 2 0) into 0
73.627 * [backup-simplify]: Simplify (- 0) into 0
73.627 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2)
73.627 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2))
73.627 * [backup-simplify]: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2)
73.627 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0
73.628 * [backup-simplify]: Simplify (+ 0 0) into 0
73.628 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2
73.628 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2)
73.628 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2))
73.628 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2))
73.628 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3)))
73.629 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2))
73.629 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2)
73.629 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2)
73.629 * [backup-simplify]: Simplify (- (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (- (/ (pow (cos (* 1/2 phi2)) 2) phi2))
73.629 * [taylor]: Taking taylor expansion of (- (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2
73.629 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2
73.629 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
73.629 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
73.629 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2
73.629 * [taylor]: Taking taylor expansion of 1/2 in phi2
73.629 * [backup-simplify]: Simplify 1/2 into 1/2
73.629 * [taylor]: Taking taylor expansion of phi2 in phi2
73.629 * [backup-simplify]: Simplify 0 into 0
73.629 * [backup-simplify]: Simplify 1 into 1
73.629 * [backup-simplify]: Simplify (* 1/2 0) into 0
73.630 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
73.630 * [taylor]: Taking taylor expansion of phi2 in phi2
73.630 * [backup-simplify]: Simplify 0 into 0
73.630 * [backup-simplify]: Simplify 1 into 1
73.630 * [backup-simplify]: Simplify (* 1 1) into 1
73.631 * [backup-simplify]: Simplify (/ 1 1) into 1
73.631 * [backup-simplify]: Simplify (+ 0) into 0
73.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
73.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
73.633 * [backup-simplify]: Simplify (- 0) into 0
73.633 * [backup-simplify]: Simplify 0 into 0
73.633 * [backup-simplify]: Simplify (+ (* phi2 0) (+ (* 0 0) (* 0 phi2))) into 0
73.634 * [backup-simplify]: Simplify (* 1 1) into 1
73.634 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
73.634 * [backup-simplify]: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
73.635 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi1))) into 0
73.635 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
73.635 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
73.636 * [backup-simplify]: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0
73.636 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* phi1 phi2)))) into 0
73.637 * [backup-simplify]: Simplify (- 0) into 0
73.637 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
73.638 * [backup-simplify]: Simplify (/ (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow 0 2) (+)) (* 2 (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))))
73.638 * [taylor]: Taking taylor expansion of (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) in phi1
73.638 * [taylor]: Taking taylor expansion of 1/2 in phi1
73.638 * [backup-simplify]: Simplify 1/2 into 1/2
73.638 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) in phi1
73.638 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1
73.638 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1
73.639 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1
73.639 * [taylor]: Taking taylor expansion of 1/2 in phi1
73.639 * [backup-simplify]: Simplify 1/2 into 1/2
73.639 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1
73.639 * [taylor]: Taking taylor expansion of phi1 in phi1
73.639 * [backup-simplify]: Simplify 0 into 0
73.639 * [backup-simplify]: Simplify 1 into 1
73.639 * [taylor]: Taking taylor expansion of phi2 in phi1
73.639 * [backup-simplify]: Simplify phi2 into phi2
73.639 * [backup-simplify]: Simplify (+ 0 phi2) into phi2
73.639 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2)
73.639 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
73.639 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
73.639 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
73.639 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0
73.640 * [backup-simplify]: Simplify (- 0) into 0
73.640 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
73.640 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) in phi1
73.640 * [taylor]: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1
73.640 * [taylor]: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1
73.640 * [taylor]: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1
73.640 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1
73.640 * [taylor]: Taking taylor expansion of phi2 in phi1
73.640 * [backup-simplify]: Simplify phi2 into phi2
73.640 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1
73.640 * [taylor]: Taking taylor expansion of phi1 in phi1
73.640 * [backup-simplify]: Simplify 0 into 0
73.640 * [backup-simplify]: Simplify 1 into 1
73.640 * [taylor]: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1
73.640 * [taylor]: Taking taylor expansion of 2 in phi1
73.640 * [backup-simplify]: Simplify 2 into 2
73.640 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1
73.640 * [taylor]: Taking taylor expansion of phi1 in phi1
73.640 * [backup-simplify]: Simplify 0 into 0
73.640 * [backup-simplify]: Simplify 1 into 1
73.640 * [taylor]: Taking taylor expansion of phi2 in phi1
73.641 * [backup-simplify]: Simplify phi2 into phi2
73.641 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
73.641 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2)
73.641 * [backup-simplify]: Simplify (* 0 phi2) into 0
73.641 * [backup-simplify]: Simplify (* 2 0) into 0
73.642 * [backup-simplify]: Simplify (- 0) into 0
73.642 * [backup-simplify]: Simplify (+ (pow phi2 2) 0) into (pow phi2 2)
73.642 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2))
73.642 * [backup-simplify]: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2)
73.642 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0
73.642 * [backup-simplify]: Simplify (+ 0 0) into 0
73.642 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2
73.643 * [backup-simplify]: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2)
73.643 * [backup-simplify]: Simplify (- (* 2 phi2)) into (- (* 2 phi2))
73.643 * [backup-simplify]: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2))
73.643 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3)))
73.643 * [backup-simplify]: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2))
73.643 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2)
73.643 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2)
73.643 * [backup-simplify]: Simplify (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2))
73.643 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2
73.643 * [taylor]: Taking taylor expansion of 1/2 in phi2
73.643 * [backup-simplify]: Simplify 1/2 into 1/2
73.643 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2
73.643 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
73.643 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
73.643 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2
73.643 * [taylor]: Taking taylor expansion of 1/2 in phi2
73.643 * [backup-simplify]: Simplify 1/2 into 1/2
73.643 * [taylor]: Taking taylor expansion of phi2 in phi2
73.643 * [backup-simplify]: Simplify 0 into 0
73.643 * [backup-simplify]: Simplify 1 into 1
73.644 * [backup-simplify]: Simplify (* 1/2 0) into 0
73.644 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
73.644 * [taylor]: Taking taylor expansion of phi2 in phi2
73.644 * [backup-simplify]: Simplify 0 into 0
73.645 * [backup-simplify]: Simplify 1 into 1
73.645 * [backup-simplify]: Simplify (* 1 1) into 1
73.645 * [backup-simplify]: Simplify (/ 1 1) into 1
73.645 * [backup-simplify]: Simplify (+ 0) into 0
73.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
73.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
73.647 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
73.647 * [backup-simplify]: Simplify 0 into 0
73.647 * [taylor]: Taking taylor expansion of 0 in phi2
73.647 * [backup-simplify]: Simplify 0 into 0
73.647 * [backup-simplify]: Simplify 0 into 0
73.647 * [taylor]: Taking taylor expansion of 0 in phi2
73.647 * [backup-simplify]: Simplify 0 into 0
73.647 * [backup-simplify]: Simplify 0 into 0
73.647 * [backup-simplify]: Simplify (+ (* phi2 0) (+ (* 0 0) (* 0 phi2))) into 0
73.647 * [backup-simplify]: Simplify (* 1 1) into 1
73.648 * [backup-simplify]: Simplify (+ 0 1) into 1
73.648 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 phi2))) into 0
73.649 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 phi2) (* 0 0))) into 0
73.649 * [backup-simplify]: Simplify (- 0) into 0
73.649 * [backup-simplify]: Simplify (+ 1 0) into 1
73.650 * [backup-simplify]: Simplify (/ (- 1 (pow -1 2) (+)) (* 2 phi2)) into 0
73.650 * [taylor]: Taking taylor expansion of 0 in phi2
73.650 * [backup-simplify]: Simplify 0 into 0
73.650 * [backup-simplify]: Simplify 0 into 0
73.650 * [backup-simplify]: Simplify (+ (* 1 (* phi2 (* 1 (* 1 1)))) (* -1 (* 1 (* phi1 (* 1 1))))) into (- phi2 phi1)
73.652 * [backup-simplify]: Simplify (sqrt (+ (* (* (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))))) into (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))))
73.652 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in (lambda1 lambda2 phi1 phi2) around 0
73.652 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in phi2
73.652 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in phi2
73.652 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in phi2
73.652 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi2
73.652 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
73.652 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
73.652 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
73.652 * [taylor]: Taking taylor expansion of 1/2 in phi2
73.652 * [backup-simplify]: Simplify 1/2 into 1/2
73.652 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
73.652 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
73.652 * [taylor]: Taking taylor expansion of phi1 in phi2
73.652 * [backup-simplify]: Simplify phi1 into phi1
73.652 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.652 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
73.652 * [taylor]: Taking taylor expansion of phi2 in phi2
73.652 * [backup-simplify]: Simplify 0 into 0
73.652 * [backup-simplify]: Simplify 1 into 1
73.652 * [backup-simplify]: Simplify (/ 1 1) into 1
73.653 * [backup-simplify]: Simplify (+ 0 1) into 1
73.653 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
73.653 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.653 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2
73.653 * [taylor]: Taking taylor expansion of lambda2 in phi2
73.653 * [backup-simplify]: Simplify lambda2 into lambda2
73.653 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.653 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2)
73.653 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
73.653 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in phi2
73.653 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi2
73.653 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2
73.653 * [taylor]: Taking taylor expansion of phi1 in phi2
73.653 * [backup-simplify]: Simplify phi1 into phi1
73.653 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2)
73.653 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2))
73.653 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in phi2
73.653 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi2
73.654 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
73.654 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
73.654 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
73.654 * [taylor]: Taking taylor expansion of 1/2 in phi2
73.654 * [backup-simplify]: Simplify 1/2 into 1/2
73.654 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
73.654 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
73.654 * [taylor]: Taking taylor expansion of phi1 in phi2
73.654 * [backup-simplify]: Simplify phi1 into phi1
73.654 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.654 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
73.654 * [taylor]: Taking taylor expansion of phi2 in phi2
73.654 * [backup-simplify]: Simplify 0 into 0
73.654 * [backup-simplify]: Simplify 1 into 1
73.654 * [backup-simplify]: Simplify (/ 1 1) into 1
73.654 * [backup-simplify]: Simplify (+ 0 1) into 1
73.655 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
73.655 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.655 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2
73.655 * [taylor]: Taking taylor expansion of lambda1 in phi2
73.655 * [backup-simplify]: Simplify lambda1 into lambda1
73.655 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.655 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2)
73.655 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))
73.655 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi2
73.655 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2
73.655 * [taylor]: Taking taylor expansion of phi2 in phi2
73.655 * [backup-simplify]: Simplify 0 into 0
73.655 * [backup-simplify]: Simplify 1 into 1
73.655 * [backup-simplify]: Simplify (* 1 1) into 1
73.656 * [backup-simplify]: Simplify (/ 1 1) into 1
73.656 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in phi2
73.656 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi2
73.656 * [taylor]: Taking taylor expansion of 2 in phi2
73.656 * [backup-simplify]: Simplify 2 into 2
73.656 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi2
73.656 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2
73.656 * [taylor]: Taking taylor expansion of phi1 in phi2
73.656 * [backup-simplify]: Simplify phi1 into phi1
73.656 * [taylor]: Taking taylor expansion of phi2 in phi2
73.656 * [backup-simplify]: Simplify 0 into 0
73.656 * [backup-simplify]: Simplify 1 into 1
73.656 * [backup-simplify]: Simplify (* phi1 0) into 0
73.656 * [backup-simplify]: Simplify (+ (* phi1 1) (* 0 0)) into phi1
73.656 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.656 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in phi2
73.656 * [taylor]: Taking taylor expansion of 2 in phi2
73.656 * [backup-simplify]: Simplify 2 into 2
73.656 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in phi2
73.656 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
73.656 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
73.656 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
73.656 * [taylor]: Taking taylor expansion of 1/2 in phi2
73.656 * [backup-simplify]: Simplify 1/2 into 1/2
73.656 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
73.656 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
73.656 * [taylor]: Taking taylor expansion of phi1 in phi2
73.656 * [backup-simplify]: Simplify phi1 into phi1
73.656 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.656 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
73.656 * [taylor]: Taking taylor expansion of phi2 in phi2
73.656 * [backup-simplify]: Simplify 0 into 0
73.656 * [backup-simplify]: Simplify 1 into 1
73.657 * [backup-simplify]: Simplify (/ 1 1) into 1
73.657 * [backup-simplify]: Simplify (+ 0 1) into 1
73.657 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
73.657 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.657 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi2
73.657 * [taylor]: Taking taylor expansion of lambda2 in phi2
73.657 * [backup-simplify]: Simplify lambda2 into lambda2
73.657 * [taylor]: Taking taylor expansion of lambda1 in phi2
73.657 * [backup-simplify]: Simplify lambda1 into lambda1
73.658 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.658 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
73.658 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))
73.658 * [backup-simplify]: Simplify (+ 0 1) into 1
73.658 * [backup-simplify]: Simplify (+ 0 1) into 1
73.659 * [backup-simplify]: Simplify (+ 0 1) into 1
73.659 * [backup-simplify]: Simplify (+ 1 0) into 1
73.659 * [backup-simplify]: Simplify (sqrt 1) into 1
73.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
73.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
73.660 * [backup-simplify]: Simplify (+ 0 0) into 0
73.660 * [backup-simplify]: Simplify (+ 0 0) into 0
73.661 * [backup-simplify]: Simplify (+ 0 0) into 0
73.661 * [backup-simplify]: Simplify (* 2 (/ 1 phi1)) into (/ 2 phi1)
73.661 * [backup-simplify]: Simplify (+ (/ 2 phi1) 0) into (* 2 (/ 1 phi1))
73.661 * [backup-simplify]: Simplify (- (* 2 (/ 1 phi1))) into (- (* 2 (/ 1 phi1)))
73.661 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi1)))) into (- (* 2 (/ 1 phi1)))
73.661 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 phi1))) (* 2 (sqrt 1))) into (/ -1 phi1)
73.661 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in phi1
73.661 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in phi1
73.661 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in phi1
73.661 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi1
73.661 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
73.661 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
73.661 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
73.661 * [taylor]: Taking taylor expansion of 1/2 in phi1
73.661 * [backup-simplify]: Simplify 1/2 into 1/2
73.661 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
73.661 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
73.661 * [taylor]: Taking taylor expansion of phi1 in phi1
73.661 * [backup-simplify]: Simplify 0 into 0
73.661 * [backup-simplify]: Simplify 1 into 1
73.662 * [backup-simplify]: Simplify (/ 1 1) into 1
73.662 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
73.662 * [taylor]: Taking taylor expansion of phi2 in phi1
73.662 * [backup-simplify]: Simplify phi2 into phi2
73.662 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.662 * [backup-simplify]: Simplify (+ 1 0) into 1
73.662 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
73.662 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.662 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1
73.662 * [taylor]: Taking taylor expansion of lambda2 in phi1
73.662 * [backup-simplify]: Simplify lambda2 into lambda2
73.663 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.663 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2)
73.663 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
73.663 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in phi1
73.663 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1
73.663 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1
73.663 * [taylor]: Taking taylor expansion of phi1 in phi1
73.663 * [backup-simplify]: Simplify 0 into 0
73.663 * [backup-simplify]: Simplify 1 into 1
73.663 * [backup-simplify]: Simplify (* 1 1) into 1
73.663 * [backup-simplify]: Simplify (/ 1 1) into 1
73.663 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in phi1
73.663 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi1
73.663 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
73.664 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
73.664 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
73.664 * [taylor]: Taking taylor expansion of 1/2 in phi1
73.664 * [backup-simplify]: Simplify 1/2 into 1/2
73.664 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
73.664 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
73.664 * [taylor]: Taking taylor expansion of phi1 in phi1
73.664 * [backup-simplify]: Simplify 0 into 0
73.664 * [backup-simplify]: Simplify 1 into 1
73.664 * [backup-simplify]: Simplify (/ 1 1) into 1
73.664 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
73.664 * [taylor]: Taking taylor expansion of phi2 in phi1
73.664 * [backup-simplify]: Simplify phi2 into phi2
73.664 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.664 * [backup-simplify]: Simplify (+ 1 0) into 1
73.665 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
73.665 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.665 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1
73.665 * [taylor]: Taking taylor expansion of lambda1 in phi1
73.665 * [backup-simplify]: Simplify lambda1 into lambda1
73.665 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.665 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2)
73.665 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))
73.665 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1
73.665 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1
73.665 * [taylor]: Taking taylor expansion of phi2 in phi1
73.665 * [backup-simplify]: Simplify phi2 into phi2
73.665 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
73.665 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2))
73.665 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in phi1
73.665 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1
73.665 * [taylor]: Taking taylor expansion of 2 in phi1
73.666 * [backup-simplify]: Simplify 2 into 2
73.666 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1
73.666 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1
73.666 * [taylor]: Taking taylor expansion of phi1 in phi1
73.666 * [backup-simplify]: Simplify 0 into 0
73.666 * [backup-simplify]: Simplify 1 into 1
73.666 * [taylor]: Taking taylor expansion of phi2 in phi1
73.666 * [backup-simplify]: Simplify phi2 into phi2
73.666 * [backup-simplify]: Simplify (* 0 phi2) into 0
73.666 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2
73.666 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.666 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in phi1
73.666 * [taylor]: Taking taylor expansion of 2 in phi1
73.666 * [backup-simplify]: Simplify 2 into 2
73.666 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in phi1
73.666 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
73.666 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
73.666 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
73.666 * [taylor]: Taking taylor expansion of 1/2 in phi1
73.666 * [backup-simplify]: Simplify 1/2 into 1/2
73.666 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
73.666 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
73.666 * [taylor]: Taking taylor expansion of phi1 in phi1
73.666 * [backup-simplify]: Simplify 0 into 0
73.666 * [backup-simplify]: Simplify 1 into 1
73.666 * [backup-simplify]: Simplify (/ 1 1) into 1
73.666 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
73.666 * [taylor]: Taking taylor expansion of phi2 in phi1
73.666 * [backup-simplify]: Simplify phi2 into phi2
73.667 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.667 * [backup-simplify]: Simplify (+ 1 0) into 1
73.667 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
73.667 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.667 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in phi1
73.667 * [taylor]: Taking taylor expansion of lambda2 in phi1
73.667 * [backup-simplify]: Simplify lambda2 into lambda2
73.667 * [taylor]: Taking taylor expansion of lambda1 in phi1
73.667 * [backup-simplify]: Simplify lambda1 into lambda1
73.667 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.667 * [backup-simplify]: Simplify (* lambda2 lambda1) into (* lambda2 lambda1)
73.668 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))
73.668 * [backup-simplify]: Simplify (+ 1 0) into 1
73.668 * [backup-simplify]: Simplify (+ 0 1) into 1
73.668 * [backup-simplify]: Simplify (+ 1 0) into 1
73.669 * [backup-simplify]: Simplify (sqrt 1) into 1
73.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
73.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
73.670 * [backup-simplify]: Simplify (+ 0 0) into 0
73.670 * [backup-simplify]: Simplify (+ 0 0) into 0
73.670 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2)
73.670 * [backup-simplify]: Simplify (+ (/ 2 phi2) 0) into (* 2 (/ 1 phi2))
73.670 * [backup-simplify]: Simplify (- (* 2 (/ 1 phi2))) into (- (* 2 (/ 1 phi2)))
73.670 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2)))
73.671 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 phi2))) (* 2 (sqrt 1))) into (/ -1 phi2)
73.671 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda2
73.671 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda2
73.671 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda2
73.671 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2
73.671 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
73.671 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
73.671 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
73.671 * [taylor]: Taking taylor expansion of 1/2 in lambda2
73.671 * [backup-simplify]: Simplify 1/2 into 1/2
73.671 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
73.671 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
73.671 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.671 * [backup-simplify]: Simplify phi1 into phi1
73.671 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.671 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
73.671 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.671 * [backup-simplify]: Simplify phi2 into phi2
73.671 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.671 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
73.671 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
73.671 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.671 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.671 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.671 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
73.672 * [backup-simplify]: Simplify (- 0) into 0
73.672 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.672 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2
73.672 * [taylor]: Taking taylor expansion of lambda2 in lambda2
73.672 * [backup-simplify]: Simplify 0 into 0
73.672 * [backup-simplify]: Simplify 1 into 1
73.672 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.672 * [backup-simplify]: Simplify (* 1 1) into 1
73.672 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.672 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda2
73.672 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2
73.672 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2
73.672 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.672 * [backup-simplify]: Simplify phi1 into phi1
73.672 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2)
73.673 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2))
73.673 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda2
73.673 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda2
73.673 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
73.673 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
73.673 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
73.673 * [taylor]: Taking taylor expansion of 1/2 in lambda2
73.673 * [backup-simplify]: Simplify 1/2 into 1/2
73.673 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
73.673 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
73.673 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.673 * [backup-simplify]: Simplify phi1 into phi1
73.673 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.673 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
73.673 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.673 * [backup-simplify]: Simplify phi2 into phi2
73.673 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.673 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
73.673 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
73.673 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.673 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.673 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.673 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
73.674 * [backup-simplify]: Simplify (- 0) into 0
73.674 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.674 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2
73.674 * [taylor]: Taking taylor expansion of lambda1 in lambda2
73.674 * [backup-simplify]: Simplify lambda1 into lambda1
73.674 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.674 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2)
73.674 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))
73.674 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2
73.674 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2
73.674 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.674 * [backup-simplify]: Simplify phi2 into phi2
73.674 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
73.674 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2))
73.674 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda2
73.674 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2
73.674 * [taylor]: Taking taylor expansion of 2 in lambda2
73.674 * [backup-simplify]: Simplify 2 into 2
73.674 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2
73.674 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2
73.674 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.674 * [backup-simplify]: Simplify phi1 into phi1
73.674 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.674 * [backup-simplify]: Simplify phi2 into phi2
73.674 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2)
73.674 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2))
73.674 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda2
73.674 * [taylor]: Taking taylor expansion of 2 in lambda2
73.674 * [backup-simplify]: Simplify 2 into 2
73.674 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda2
73.674 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
73.675 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
73.675 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
73.675 * [taylor]: Taking taylor expansion of 1/2 in lambda2
73.675 * [backup-simplify]: Simplify 1/2 into 1/2
73.675 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
73.675 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
73.675 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.675 * [backup-simplify]: Simplify phi1 into phi1
73.675 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.675 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
73.675 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.675 * [backup-simplify]: Simplify phi2 into phi2
73.675 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.675 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
73.675 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
73.675 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.675 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.675 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.675 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
73.675 * [backup-simplify]: Simplify (- 0) into 0
73.676 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.676 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda2
73.676 * [taylor]: Taking taylor expansion of lambda2 in lambda2
73.676 * [backup-simplify]: Simplify 0 into 0
73.676 * [backup-simplify]: Simplify 1 into 1
73.676 * [taylor]: Taking taylor expansion of lambda1 in lambda2
73.676 * [backup-simplify]: Simplify lambda1 into lambda1
73.676 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.676 * [backup-simplify]: Simplify (* 0 lambda1) into 0
73.676 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda1)) into lambda1
73.676 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)
73.676 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.676 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.677 * [backup-simplify]: Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.677 * [backup-simplify]: Simplify (+ 0) into 0
73.677 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
73.677 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
73.677 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
73.678 * [backup-simplify]: Simplify (+ 0 0) into 0
73.678 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
73.679 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
73.680 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
73.680 * [backup-simplify]: Simplify (- 0) into 0
73.680 * [backup-simplify]: Simplify (+ 0 0) into 0
73.681 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
73.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
73.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0
73.685 * [backup-simplify]: Simplify (+ 0 0) into 0
73.686 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))
73.686 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))
73.686 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))
73.687 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))
73.687 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1))
73.687 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda1
73.687 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda1
73.687 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda1
73.687 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1
73.687 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
73.687 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
73.688 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
73.688 * [taylor]: Taking taylor expansion of 1/2 in lambda1
73.688 * [backup-simplify]: Simplify 1/2 into 1/2
73.688 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
73.688 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
73.688 * [taylor]: Taking taylor expansion of phi1 in lambda1
73.688 * [backup-simplify]: Simplify phi1 into phi1
73.688 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.688 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
73.688 * [taylor]: Taking taylor expansion of phi2 in lambda1
73.688 * [backup-simplify]: Simplify phi2 into phi2
73.688 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.688 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
73.688 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
73.688 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.688 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.688 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.689 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
73.689 * [backup-simplify]: Simplify (- 0) into 0
73.689 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.689 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1
73.689 * [taylor]: Taking taylor expansion of lambda2 in lambda1
73.689 * [backup-simplify]: Simplify lambda2 into lambda2
73.690 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.690 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2)
73.690 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
73.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda1
73.690 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1
73.690 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1
73.690 * [taylor]: Taking taylor expansion of phi1 in lambda1
73.690 * [backup-simplify]: Simplify phi1 into phi1
73.690 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2)
73.690 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2))
73.690 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda1
73.690 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1
73.690 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
73.690 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
73.690 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
73.690 * [taylor]: Taking taylor expansion of 1/2 in lambda1
73.690 * [backup-simplify]: Simplify 1/2 into 1/2
73.690 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
73.690 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
73.690 * [taylor]: Taking taylor expansion of phi1 in lambda1
73.691 * [backup-simplify]: Simplify phi1 into phi1
73.691 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.691 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
73.691 * [taylor]: Taking taylor expansion of phi2 in lambda1
73.691 * [backup-simplify]: Simplify phi2 into phi2
73.691 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.691 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
73.691 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
73.691 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.691 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.691 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.692 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
73.692 * [backup-simplify]: Simplify (- 0) into 0
73.692 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.692 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1
73.692 * [taylor]: Taking taylor expansion of lambda1 in lambda1
73.692 * [backup-simplify]: Simplify 0 into 0
73.692 * [backup-simplify]: Simplify 1 into 1
73.693 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.693 * [backup-simplify]: Simplify (* 1 1) into 1
73.693 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.693 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1
73.693 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1
73.693 * [taylor]: Taking taylor expansion of phi2 in lambda1
73.693 * [backup-simplify]: Simplify phi2 into phi2
73.693 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
73.693 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2))
73.693 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda1
73.694 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1
73.694 * [taylor]: Taking taylor expansion of 2 in lambda1
73.694 * [backup-simplify]: Simplify 2 into 2
73.694 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1
73.694 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1
73.694 * [taylor]: Taking taylor expansion of phi1 in lambda1
73.694 * [backup-simplify]: Simplify phi1 into phi1
73.694 * [taylor]: Taking taylor expansion of phi2 in lambda1
73.694 * [backup-simplify]: Simplify phi2 into phi2
73.694 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2)
73.694 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2))
73.694 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda1
73.694 * [taylor]: Taking taylor expansion of 2 in lambda1
73.694 * [backup-simplify]: Simplify 2 into 2
73.694 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda1
73.694 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
73.694 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
73.694 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
73.694 * [taylor]: Taking taylor expansion of 1/2 in lambda1
73.694 * [backup-simplify]: Simplify 1/2 into 1/2
73.694 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
73.694 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
73.694 * [taylor]: Taking taylor expansion of phi1 in lambda1
73.695 * [backup-simplify]: Simplify phi1 into phi1
73.695 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.695 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
73.695 * [taylor]: Taking taylor expansion of phi2 in lambda1
73.695 * [backup-simplify]: Simplify phi2 into phi2
73.695 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.695 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
73.695 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
73.695 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.695 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.695 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.695 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
73.696 * [backup-simplify]: Simplify (- 0) into 0
73.696 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.696 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1
73.696 * [taylor]: Taking taylor expansion of lambda2 in lambda1
73.696 * [backup-simplify]: Simplify lambda2 into lambda2
73.696 * [taylor]: Taking taylor expansion of lambda1 in lambda1
73.696 * [backup-simplify]: Simplify 0 into 0
73.696 * [backup-simplify]: Simplify 1 into 1
73.696 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.697 * [backup-simplify]: Simplify (* lambda2 0) into 0
73.697 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2
73.697 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)
73.697 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.698 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.698 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.698 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.698 * [backup-simplify]: Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.699 * [backup-simplify]: Simplify (+ 0) into 0
73.699 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
73.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
73.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
73.700 * [backup-simplify]: Simplify (+ 0 0) into 0
73.700 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
73.701 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
73.702 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
73.702 * [backup-simplify]: Simplify (- 0) into 0
73.703 * [backup-simplify]: Simplify (+ 0 0) into 0
73.703 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
73.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
73.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0
73.705 * [backup-simplify]: Simplify (+ 0 0) into 0
73.705 * [backup-simplify]: Simplify (+ 0 0) into 0
73.706 * [backup-simplify]: Simplify (+ 0 0) into 0
73.706 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))
73.706 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))
73.706 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
73.707 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
73.707 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2))
73.707 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda1
73.707 * [taylor]: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda1
73.708 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda1
73.708 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1
73.708 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
73.708 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
73.708 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
73.708 * [taylor]: Taking taylor expansion of 1/2 in lambda1
73.708 * [backup-simplify]: Simplify 1/2 into 1/2
73.708 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
73.708 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
73.708 * [taylor]: Taking taylor expansion of phi1 in lambda1
73.708 * [backup-simplify]: Simplify phi1 into phi1
73.708 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.708 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
73.708 * [taylor]: Taking taylor expansion of phi2 in lambda1
73.708 * [backup-simplify]: Simplify phi2 into phi2
73.708 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.708 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
73.708 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
73.708 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.709 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.709 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.709 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
73.710 * [backup-simplify]: Simplify (- 0) into 0
73.710 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.710 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1
73.710 * [taylor]: Taking taylor expansion of lambda2 in lambda1
73.710 * [backup-simplify]: Simplify lambda2 into lambda2
73.710 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.710 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2)
73.710 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
73.710 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda1
73.711 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1
73.711 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1
73.711 * [taylor]: Taking taylor expansion of phi1 in lambda1
73.711 * [backup-simplify]: Simplify phi1 into phi1
73.711 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2)
73.711 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2))
73.711 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda1
73.711 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1
73.711 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
73.711 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
73.711 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
73.711 * [taylor]: Taking taylor expansion of 1/2 in lambda1
73.711 * [backup-simplify]: Simplify 1/2 into 1/2
73.711 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
73.711 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
73.711 * [taylor]: Taking taylor expansion of phi1 in lambda1
73.711 * [backup-simplify]: Simplify phi1 into phi1
73.711 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.711 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
73.711 * [taylor]: Taking taylor expansion of phi2 in lambda1
73.711 * [backup-simplify]: Simplify phi2 into phi2
73.711 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.711 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
73.711 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
73.712 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.712 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.712 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.712 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
73.713 * [backup-simplify]: Simplify (- 0) into 0
73.713 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.713 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1
73.713 * [taylor]: Taking taylor expansion of lambda1 in lambda1
73.713 * [backup-simplify]: Simplify 0 into 0
73.713 * [backup-simplify]: Simplify 1 into 1
73.713 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.713 * [backup-simplify]: Simplify (* 1 1) into 1
73.714 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.714 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1
73.714 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1
73.714 * [taylor]: Taking taylor expansion of phi2 in lambda1
73.714 * [backup-simplify]: Simplify phi2 into phi2
73.714 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
73.714 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2))
73.714 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda1
73.714 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1
73.714 * [taylor]: Taking taylor expansion of 2 in lambda1
73.714 * [backup-simplify]: Simplify 2 into 2
73.714 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1
73.714 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1
73.714 * [taylor]: Taking taylor expansion of phi1 in lambda1
73.714 * [backup-simplify]: Simplify phi1 into phi1
73.714 * [taylor]: Taking taylor expansion of phi2 in lambda1
73.714 * [backup-simplify]: Simplify phi2 into phi2
73.714 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2)
73.714 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2))
73.714 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda1
73.714 * [taylor]: Taking taylor expansion of 2 in lambda1
73.714 * [backup-simplify]: Simplify 2 into 2
73.714 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda1
73.714 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
73.715 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
73.715 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
73.715 * [taylor]: Taking taylor expansion of 1/2 in lambda1
73.715 * [backup-simplify]: Simplify 1/2 into 1/2
73.715 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
73.715 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
73.715 * [taylor]: Taking taylor expansion of phi1 in lambda1
73.715 * [backup-simplify]: Simplify phi1 into phi1
73.715 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.715 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
73.715 * [taylor]: Taking taylor expansion of phi2 in lambda1
73.715 * [backup-simplify]: Simplify phi2 into phi2
73.715 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.715 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
73.715 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
73.715 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.715 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.716 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.716 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
73.716 * [backup-simplify]: Simplify (- 0) into 0
73.716 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.717 * [taylor]: Taking taylor expansion of (* lambda2 lambda1) in lambda1
73.717 * [taylor]: Taking taylor expansion of lambda2 in lambda1
73.717 * [backup-simplify]: Simplify lambda2 into lambda2
73.717 * [taylor]: Taking taylor expansion of lambda1 in lambda1
73.717 * [backup-simplify]: Simplify 0 into 0
73.717 * [backup-simplify]: Simplify 1 into 1
73.717 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.717 * [backup-simplify]: Simplify (* lambda2 0) into 0
73.718 * [backup-simplify]: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2
73.718 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)
73.718 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.718 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.718 * [backup-simplify]: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.719 * [backup-simplify]: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.719 * [backup-simplify]: Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.720 * [backup-simplify]: Simplify (+ 0) into 0
73.720 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
73.720 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
73.720 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
73.721 * [backup-simplify]: Simplify (+ 0 0) into 0
73.721 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
73.722 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
73.723 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
73.723 * [backup-simplify]: Simplify (- 0) into 0
73.724 * [backup-simplify]: Simplify (+ 0 0) into 0
73.724 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
73.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
73.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0
73.726 * [backup-simplify]: Simplify (+ 0 0) into 0
73.726 * [backup-simplify]: Simplify (+ 0 0) into 0
73.727 * [backup-simplify]: Simplify (+ 0 0) into 0
73.727 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))
73.727 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))
73.728 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
73.728 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
73.729 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2))
73.729 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
73.729 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
73.729 * [taylor]: Taking taylor expansion of 1/2 in lambda2
73.729 * [backup-simplify]: Simplify 1/2 into 1/2
73.729 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
73.729 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
73.729 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.729 * [backup-simplify]: Simplify phi1 into phi1
73.729 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.729 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
73.729 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.729 * [backup-simplify]: Simplify phi2 into phi2
73.729 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.729 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
73.729 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
73.729 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.730 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.730 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) in lambda2
73.730 * [taylor]: Taking taylor expansion of -1 in lambda2
73.730 * [backup-simplify]: Simplify -1 into -1
73.730 * [taylor]: Taking taylor expansion of (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2) in lambda2
73.730 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
73.730 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
73.730 * [taylor]: Taking taylor expansion of 1/2 in lambda2
73.730 * [backup-simplify]: Simplify 1/2 into 1/2
73.730 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
73.730 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
73.730 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.730 * [backup-simplify]: Simplify phi1 into phi1
73.730 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.730 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
73.730 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.730 * [backup-simplify]: Simplify phi2 into phi2
73.730 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.730 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
73.730 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
73.730 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.731 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.731 * [taylor]: Taking taylor expansion of lambda2 in lambda2
73.731 * [backup-simplify]: Simplify 0 into 0
73.731 * [backup-simplify]: Simplify 1 into 1
73.731 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.731 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
73.731 * [backup-simplify]: Simplify (- 0) into 0
73.732 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.732 * [backup-simplify]: Simplify (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.732 * [backup-simplify]: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
73.732 * [taylor]: Taking taylor expansion of (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1
73.732 * [taylor]: Taking taylor expansion of -1 in phi1
73.732 * [backup-simplify]: Simplify -1 into -1
73.732 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
73.732 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
73.732 * [taylor]: Taking taylor expansion of 1/2 in phi1
73.732 * [backup-simplify]: Simplify 1/2 into 1/2
73.732 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
73.732 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
73.732 * [taylor]: Taking taylor expansion of phi1 in phi1
73.732 * [backup-simplify]: Simplify 0 into 0
73.732 * [backup-simplify]: Simplify 1 into 1
73.733 * [backup-simplify]: Simplify (/ 1 1) into 1
73.733 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
73.733 * [taylor]: Taking taylor expansion of phi2 in phi1
73.733 * [backup-simplify]: Simplify phi2 into phi2
73.733 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.733 * [backup-simplify]: Simplify (+ 1 0) into 1
73.734 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
73.734 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.734 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.734 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
73.735 * [backup-simplify]: Simplify (- 0) into 0
73.735 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.735 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
73.735 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
73.735 * [taylor]: Taking taylor expansion of 1/2 in phi1
73.735 * [backup-simplify]: Simplify 1/2 into 1/2
73.735 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
73.735 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
73.735 * [taylor]: Taking taylor expansion of phi1 in phi1
73.735 * [backup-simplify]: Simplify 0 into 0
73.735 * [backup-simplify]: Simplify 1 into 1
73.736 * [backup-simplify]: Simplify (/ 1 1) into 1
73.736 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
73.736 * [taylor]: Taking taylor expansion of phi2 in phi1
73.736 * [backup-simplify]: Simplify phi2 into phi2
73.736 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.736 * [backup-simplify]: Simplify (+ 1 0) into 1
73.737 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
73.737 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.738 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
73.739 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
73.739 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
73.739 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
73.739 * [backup-simplify]: Simplify (+ 0 0) into 0
73.740 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
73.741 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
73.742 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
73.742 * [backup-simplify]: Simplify (- 0) into 0
73.743 * [backup-simplify]: Simplify (+ 0 0) into 0
73.743 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
73.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
73.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
73.746 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow phi2 2))) into (/ 1 (pow phi2 2))
73.746 * [backup-simplify]: Simplify (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))
73.747 * [backup-simplify]: Simplify (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) into (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))))
73.747 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2))
73.747 * [backup-simplify]: Simplify (+ 0) into 0
73.748 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
73.748 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
73.748 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
73.748 * [backup-simplify]: Simplify (+ 0 0) into 0
73.749 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
73.750 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
73.750 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
73.751 * [backup-simplify]: Simplify (- 0) into 0
73.751 * [backup-simplify]: Simplify (+ 0 0) into 0
73.751 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
73.752 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 1) (* 0 0))) into 0
73.752 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)))) into 0
73.753 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into 0
73.753 * [backup-simplify]: Simplify (+ (/ 2 (* phi1 phi2)) 0) into (* 2 (/ 1 (* phi1 phi2)))
73.753 * [backup-simplify]: Simplify (- (* 2 (/ 1 (* phi1 phi2)))) into (- (* 2 (/ 1 (* phi1 phi2))))
73.754 * [backup-simplify]: Simplify (+ (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (* 2 (/ 1 (* phi1 phi2))))
73.756 * [backup-simplify]: Simplify (/ (- (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (* 2 (/ 1 (* phi1 phi2)))) (pow (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 2) (+)) (* 2 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))
73.756 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2
73.756 * [taylor]: Taking taylor expansion of 1/2 in lambda2
73.756 * [backup-simplify]: Simplify 1/2 into 1/2
73.756 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2
73.756 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in lambda2
73.756 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in lambda2
73.756 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2
73.756 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2
73.756 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.756 * [backup-simplify]: Simplify phi2 into phi2
73.756 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
73.756 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2))
73.756 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2
73.756 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2
73.756 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.756 * [backup-simplify]: Simplify phi1 into phi1
73.756 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2)
73.756 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2))
73.756 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2
73.756 * [taylor]: Taking taylor expansion of 2 in lambda2
73.756 * [backup-simplify]: Simplify 2 into 2
73.757 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2
73.757 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2
73.757 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.757 * [backup-simplify]: Simplify phi1 into phi1
73.757 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.757 * [backup-simplify]: Simplify phi2 into phi2
73.757 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2)
73.757 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2))
73.757 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
73.757 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
73.757 * [taylor]: Taking taylor expansion of 1/2 in lambda2
73.757 * [backup-simplify]: Simplify 1/2 into 1/2
73.757 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
73.757 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
73.757 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.757 * [backup-simplify]: Simplify phi1 into phi1
73.757 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.757 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
73.757 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.757 * [backup-simplify]: Simplify phi2 into phi2
73.757 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.757 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
73.757 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
73.758 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.758 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.758 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))
73.758 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2))
73.758 * [backup-simplify]: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2))))
73.758 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2))))
73.759 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.759 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
73.759 * [backup-simplify]: Simplify (- 0) into 0
73.759 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.760 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
73.760 * [backup-simplify]: Simplify (+ 0) into 0
73.761 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
73.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
73.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
73.762 * [backup-simplify]: Simplify (+ 0 0) into 0
73.762 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
73.763 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
73.764 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
73.764 * [backup-simplify]: Simplify (- 0) into 0
73.764 * [backup-simplify]: Simplify (+ 0 0) into 0
73.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)))) into 0
73.766 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
73.766 * [taylor]: Taking taylor expansion of 0 in phi1
73.766 * [backup-simplify]: Simplify 0 into 0
73.766 * [backup-simplify]: Simplify (+ 0) into 0
73.767 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
73.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
73.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
73.768 * [backup-simplify]: Simplify (+ 0 0) into 0
73.768 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
73.769 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
73.770 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
73.770 * [backup-simplify]: Simplify (- 0) into 0
73.770 * [backup-simplify]: Simplify (+ 0 0) into 0
73.771 * [taylor]: Taking taylor expansion of 0 in phi1
73.771 * [backup-simplify]: Simplify 0 into 0
73.771 * [backup-simplify]: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
73.771 * [taylor]: Taking taylor expansion of (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi2
73.771 * [taylor]: Taking taylor expansion of -1 in phi2
73.771 * [backup-simplify]: Simplify -1 into -1
73.771 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
73.771 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
73.771 * [taylor]: Taking taylor expansion of 1/2 in phi2
73.771 * [backup-simplify]: Simplify 1/2 into 1/2
73.771 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
73.771 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
73.771 * [taylor]: Taking taylor expansion of phi1 in phi2
73.771 * [backup-simplify]: Simplify phi1 into phi1
73.771 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.771 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
73.771 * [taylor]: Taking taylor expansion of phi2 in phi2
73.771 * [backup-simplify]: Simplify 0 into 0
73.771 * [backup-simplify]: Simplify 1 into 1
73.772 * [backup-simplify]: Simplify (/ 1 1) into 1
73.772 * [backup-simplify]: Simplify (+ 0 1) into 1
73.772 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
73.773 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.773 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
73.773 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
73.773 * [taylor]: Taking taylor expansion of 1/2 in phi2
73.773 * [backup-simplify]: Simplify 1/2 into 1/2
73.773 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
73.773 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
73.773 * [taylor]: Taking taylor expansion of phi1 in phi2
73.773 * [backup-simplify]: Simplify phi1 into phi1
73.773 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.773 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
73.773 * [taylor]: Taking taylor expansion of phi2 in phi2
73.773 * [backup-simplify]: Simplify 0 into 0
73.773 * [backup-simplify]: Simplify 1 into 1
73.773 * [backup-simplify]: Simplify (/ 1 1) into 1
73.774 * [backup-simplify]: Simplify (+ 0 1) into 1
73.774 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
73.774 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.775 * [backup-simplify]: Simplify (+ 0) into 0
73.776 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
73.776 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
73.776 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
73.776 * [backup-simplify]: Simplify (+ 0 0) into 0
73.777 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
73.778 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
73.778 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
73.778 * [backup-simplify]: Simplify (- 0) into 0
73.779 * [backup-simplify]: Simplify (+ 0 0) into 0
73.779 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
73.779 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
73.780 * [backup-simplify]: Simplify (- (/ 0 (pow lambda2 2)) (+ (* (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ 0 (pow lambda2 2))))) into 0
73.780 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0
73.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))))) into 0
73.781 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
73.782 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
73.782 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
73.782 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
73.783 * [backup-simplify]: Simplify (+ 0 0) into 0
73.784 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
73.785 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
73.786 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
73.787 * [backup-simplify]: Simplify (- 0) into 0
73.787 * [backup-simplify]: Simplify (+ 0 0) into 0
73.788 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into 0
73.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
73.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
73.791 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0
73.791 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))))) into 0
73.791 * [backup-simplify]: Simplify (+ 0 0) into 0
73.792 * [backup-simplify]: Simplify (+ 0 0) into 0
73.792 * [backup-simplify]: Simplify (+ 0 0) into 0
73.792 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0
73.792 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))))) into 0
73.793 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (* phi1 phi2)))) into 0
73.794 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
73.794 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
73.795 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
73.795 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
73.795 * [backup-simplify]: Simplify (+ 0 0) into 0
73.796 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
73.796 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
73.797 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
73.797 * [backup-simplify]: Simplify (- 0) into 0
73.798 * [backup-simplify]: Simplify (+ 0 0) into 0
73.799 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
73.799 * [backup-simplify]: Simplify (+ (* lambda2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
73.800 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
73.801 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into 0
73.801 * [backup-simplify]: Simplify (+ 0 0) into 0
73.802 * [backup-simplify]: Simplify (- 0) into 0
73.802 * [backup-simplify]: Simplify (+ 0 0) into 0
73.803 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))))) (* 2 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))
73.803 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2
73.803 * [taylor]: Taking taylor expansion of 1/2 in lambda2
73.803 * [backup-simplify]: Simplify 1/2 into 1/2
73.803 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2
73.804 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) in lambda2
73.804 * [taylor]: Taking taylor expansion of (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) in lambda2
73.804 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (pow phi2 2))) in lambda2
73.804 * [taylor]: Taking taylor expansion of (* lambda2 (pow phi2 2)) in lambda2
73.804 * [taylor]: Taking taylor expansion of lambda2 in lambda2
73.804 * [backup-simplify]: Simplify 0 into 0
73.804 * [backup-simplify]: Simplify 1 into 1
73.804 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2
73.804 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.804 * [backup-simplify]: Simplify phi2 into phi2
73.804 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
73.804 * [backup-simplify]: Simplify (* 0 (pow phi2 2)) into 0
73.804 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0
73.805 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow phi2 2))) into (pow phi2 2)
73.805 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2))
73.805 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (pow phi1 2))) in lambda2
73.805 * [taylor]: Taking taylor expansion of (* lambda2 (pow phi1 2)) in lambda2
73.805 * [taylor]: Taking taylor expansion of lambda2 in lambda2
73.805 * [backup-simplify]: Simplify 0 into 0
73.805 * [backup-simplify]: Simplify 1 into 1
73.805 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2
73.805 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.805 * [backup-simplify]: Simplify phi1 into phi1
73.805 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2)
73.805 * [backup-simplify]: Simplify (* 0 (pow phi1 2)) into 0
73.805 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0
73.806 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow phi1 2))) into (pow phi1 2)
73.806 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2))
73.806 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* lambda2 (* phi1 phi2)))) in lambda2
73.806 * [taylor]: Taking taylor expansion of 2 in lambda2
73.806 * [backup-simplify]: Simplify 2 into 2
73.806 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (* phi1 phi2))) in lambda2
73.806 * [taylor]: Taking taylor expansion of (* lambda2 (* phi1 phi2)) in lambda2
73.806 * [taylor]: Taking taylor expansion of lambda2 in lambda2
73.806 * [backup-simplify]: Simplify 0 into 0
73.806 * [backup-simplify]: Simplify 1 into 1
73.806 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2
73.806 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.806 * [backup-simplify]: Simplify phi1 into phi1
73.806 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.806 * [backup-simplify]: Simplify phi2 into phi2
73.806 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2)
73.806 * [backup-simplify]: Simplify (* 0 (* phi1 phi2)) into 0
73.806 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0
73.807 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* phi1 phi2))) into (* phi1 phi2)
73.807 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2))
73.807 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
73.807 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
73.807 * [taylor]: Taking taylor expansion of 1/2 in lambda2
73.807 * [backup-simplify]: Simplify 1/2 into 1/2
73.807 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
73.807 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
73.807 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.807 * [backup-simplify]: Simplify phi1 into phi1
73.807 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.807 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
73.807 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.807 * [backup-simplify]: Simplify phi2 into phi2
73.807 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.807 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
73.808 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
73.808 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.808 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.808 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))
73.808 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2))
73.808 * [backup-simplify]: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2))))
73.809 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2))))
73.809 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.809 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
73.809 * [backup-simplify]: Simplify (- 0) into 0
73.809 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.810 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
73.810 * [backup-simplify]: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))
73.810 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1
73.811 * [taylor]: Taking taylor expansion of 1/2 in phi1
73.811 * [backup-simplify]: Simplify 1/2 into 1/2
73.811 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1
73.811 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1
73.811 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1
73.811 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1
73.811 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1
73.811 * [taylor]: Taking taylor expansion of phi2 in phi1
73.811 * [backup-simplify]: Simplify phi2 into phi2
73.811 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
73.811 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2))
73.811 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1
73.811 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1
73.811 * [taylor]: Taking taylor expansion of phi1 in phi1
73.811 * [backup-simplify]: Simplify 0 into 0
73.811 * [backup-simplify]: Simplify 1 into 1
73.811 * [backup-simplify]: Simplify (* 1 1) into 1
73.812 * [backup-simplify]: Simplify (/ 1 1) into 1
73.812 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1
73.812 * [taylor]: Taking taylor expansion of 2 in phi1
73.812 * [backup-simplify]: Simplify 2 into 2
73.812 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1
73.812 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1
73.812 * [taylor]: Taking taylor expansion of phi1 in phi1
73.812 * [backup-simplify]: Simplify 0 into 0
73.812 * [backup-simplify]: Simplify 1 into 1
73.812 * [taylor]: Taking taylor expansion of phi2 in phi1
73.812 * [backup-simplify]: Simplify phi2 into phi2
73.812 * [backup-simplify]: Simplify (* 0 phi2) into 0
73.813 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2
73.813 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.813 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
73.813 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
73.813 * [taylor]: Taking taylor expansion of 1/2 in phi1
73.813 * [backup-simplify]: Simplify 1/2 into 1/2
73.813 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
73.813 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
73.813 * [taylor]: Taking taylor expansion of phi1 in phi1
73.813 * [backup-simplify]: Simplify 0 into 0
73.813 * [backup-simplify]: Simplify 1 into 1
73.813 * [backup-simplify]: Simplify (/ 1 1) into 1
73.813 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
73.813 * [taylor]: Taking taylor expansion of phi2 in phi1
73.813 * [backup-simplify]: Simplify phi2 into phi2
73.813 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.814 * [backup-simplify]: Simplify (+ 1 0) into 1
73.814 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
73.815 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.815 * [backup-simplify]: Simplify (+ 0 1) into 1
73.816 * [backup-simplify]: Simplify (+ 1 0) into 1
73.816 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
73.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
73.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
73.818 * [backup-simplify]: Simplify (+ 0 0) into 0
73.818 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2)
73.818 * [backup-simplify]: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2)))
73.818 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2)))
73.819 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))
73.819 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))
73.819 * [taylor]: Taking taylor expansion of (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2
73.819 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2
73.819 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2
73.819 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
73.819 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
73.819 * [taylor]: Taking taylor expansion of 1/2 in phi2
73.819 * [backup-simplify]: Simplify 1/2 into 1/2
73.819 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
73.819 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
73.819 * [taylor]: Taking taylor expansion of phi1 in phi2
73.819 * [backup-simplify]: Simplify phi1 into phi1
73.820 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.820 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
73.820 * [taylor]: Taking taylor expansion of phi2 in phi2
73.820 * [backup-simplify]: Simplify 0 into 0
73.820 * [backup-simplify]: Simplify 1 into 1
73.820 * [backup-simplify]: Simplify (/ 1 1) into 1
73.821 * [backup-simplify]: Simplify (+ 0 1) into 1
73.821 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
73.821 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.821 * [taylor]: Taking taylor expansion of phi2 in phi2
73.821 * [backup-simplify]: Simplify 0 into 0
73.821 * [backup-simplify]: Simplify 1 into 1
73.822 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
73.822 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.822 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
73.822 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))
73.823 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))
73.823 * [backup-simplify]: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))
73.823 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1
73.823 * [taylor]: Taking taylor expansion of 1/2 in phi1
73.823 * [backup-simplify]: Simplify 1/2 into 1/2
73.823 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1
73.823 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1
73.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1
73.823 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1
73.823 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1
73.824 * [taylor]: Taking taylor expansion of phi2 in phi1
73.824 * [backup-simplify]: Simplify phi2 into phi2
73.824 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
73.824 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2))
73.824 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1
73.824 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1
73.824 * [taylor]: Taking taylor expansion of phi1 in phi1
73.824 * [backup-simplify]: Simplify 0 into 0
73.824 * [backup-simplify]: Simplify 1 into 1
73.824 * [backup-simplify]: Simplify (* 1 1) into 1
73.825 * [backup-simplify]: Simplify (/ 1 1) into 1
73.825 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1
73.825 * [taylor]: Taking taylor expansion of 2 in phi1
73.825 * [backup-simplify]: Simplify 2 into 2
73.825 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1
73.825 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1
73.825 * [taylor]: Taking taylor expansion of phi1 in phi1
73.825 * [backup-simplify]: Simplify 0 into 0
73.825 * [backup-simplify]: Simplify 1 into 1
73.825 * [taylor]: Taking taylor expansion of phi2 in phi1
73.825 * [backup-simplify]: Simplify phi2 into phi2
73.825 * [backup-simplify]: Simplify (* 0 phi2) into 0
73.826 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2
73.826 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.826 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
73.826 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
73.826 * [taylor]: Taking taylor expansion of 1/2 in phi1
73.826 * [backup-simplify]: Simplify 1/2 into 1/2
73.826 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
73.826 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
73.826 * [taylor]: Taking taylor expansion of phi1 in phi1
73.826 * [backup-simplify]: Simplify 0 into 0
73.826 * [backup-simplify]: Simplify 1 into 1
73.826 * [backup-simplify]: Simplify (/ 1 1) into 1
73.827 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
73.827 * [taylor]: Taking taylor expansion of phi2 in phi1
73.827 * [backup-simplify]: Simplify phi2 into phi2
73.827 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.827 * [backup-simplify]: Simplify (+ 1 0) into 1
73.828 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
73.828 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.829 * [backup-simplify]: Simplify (+ 0 1) into 1
73.829 * [backup-simplify]: Simplify (+ 1 0) into 1
73.829 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
73.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
73.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
73.832 * [backup-simplify]: Simplify (+ 0 0) into 0
73.832 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2)
73.832 * [backup-simplify]: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2)))
73.832 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2)))
73.832 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))
73.833 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))
73.833 * [taylor]: Taking taylor expansion of (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2
73.833 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2
73.833 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2
73.833 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
73.833 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
73.833 * [taylor]: Taking taylor expansion of 1/2 in phi2
73.833 * [backup-simplify]: Simplify 1/2 into 1/2
73.833 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
73.833 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
73.833 * [taylor]: Taking taylor expansion of phi1 in phi2
73.833 * [backup-simplify]: Simplify phi1 into phi1
73.833 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.833 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
73.833 * [taylor]: Taking taylor expansion of phi2 in phi2
73.833 * [backup-simplify]: Simplify 0 into 0
73.833 * [backup-simplify]: Simplify 1 into 1
73.834 * [backup-simplify]: Simplify (/ 1 1) into 1
73.834 * [backup-simplify]: Simplify (+ 0 1) into 1
73.837 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
73.837 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.837 * [taylor]: Taking taylor expansion of phi2 in phi2
73.837 * [backup-simplify]: Simplify 0 into 0
73.837 * [backup-simplify]: Simplify 1 into 1
73.837 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
73.838 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.838 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
73.838 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))
73.839 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))
73.840 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
73.840 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
73.841 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
73.841 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
73.841 * [backup-simplify]: Simplify (+ 0 0) into 0
73.842 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
73.843 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
73.844 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
73.844 * [backup-simplify]: Simplify (- 0) into 0
73.844 * [backup-simplify]: Simplify (+ 0 0) into 0
73.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
73.847 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
73.847 * [taylor]: Taking taylor expansion of 0 in phi1
73.847 * [backup-simplify]: Simplify 0 into 0
73.848 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
73.849 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
73.849 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
73.849 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
73.850 * [backup-simplify]: Simplify (+ 0 0) into 0
73.851 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
73.851 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
73.852 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
73.852 * [backup-simplify]: Simplify (- 0) into 0
73.853 * [backup-simplify]: Simplify (+ 0 0) into 0
73.853 * [taylor]: Taking taylor expansion of 0 in phi1
73.853 * [backup-simplify]: Simplify 0 into 0
73.853 * [taylor]: Taking taylor expansion of 0 in phi2
73.853 * [backup-simplify]: Simplify 0 into 0
73.853 * [taylor]: Taking taylor expansion of 0 in phi2
73.853 * [backup-simplify]: Simplify 0 into 0
73.854 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
73.854 * [taylor]: Taking taylor expansion of 0 in phi2
73.854 * [backup-simplify]: Simplify 0 into 0
73.854 * [taylor]: Taking taylor expansion of 0 in phi2
73.854 * [backup-simplify]: Simplify 0 into 0
73.854 * [backup-simplify]: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
73.854 * [backup-simplify]: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
73.856 * [backup-simplify]: Simplify (+ (* (* -1 (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2)))))) (* 1 (* 1 (* (/ 1 (/ 1 lambda2)) 1)))) (+ (* (- (/ 1 (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))))) (* (/ 1 (/ 1 phi2)) (* (/ 1 (/ 1 phi1)) (* 1 (/ 1 lambda1))))) (* (- (/ 1 (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))))) (* (/ 1 (/ 1 phi2)) (* (/ 1 (/ 1 phi1)) (* (/ 1 (/ 1 lambda2)) (pow (/ 1 lambda1) 2))))))) into (- (+ (/ (* lambda2 (* phi1 phi2)) (* (cos (* 1/2 (+ phi1 phi2))) (pow lambda1 2))) (+ (/ (* phi1 phi2) (* (cos (* 1/2 (+ phi1 phi2))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2)))))))
73.858 * [backup-simplify]: Simplify (sqrt (+ (* (* (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))))) into (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))))
73.858 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in (lambda1 lambda2 phi1 phi2) around 0
73.859 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in phi2
73.859 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in phi2
73.859 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in phi2
73.859 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi2
73.859 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi2
73.859 * [taylor]: Taking taylor expansion of phi2 in phi2
73.859 * [backup-simplify]: Simplify 0 into 0
73.859 * [backup-simplify]: Simplify 1 into 1
73.859 * [backup-simplify]: Simplify (* 1 1) into 1
73.860 * [backup-simplify]: Simplify (/ 1 1) into 1
73.860 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in phi2
73.860 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi2
73.860 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi2
73.860 * [taylor]: Taking taylor expansion of phi1 in phi2
73.860 * [backup-simplify]: Simplify phi1 into phi1
73.860 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2)
73.860 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2))
73.860 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in phi2
73.860 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi2
73.860 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
73.860 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
73.860 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
73.860 * [taylor]: Taking taylor expansion of -1/2 in phi2
73.860 * [backup-simplify]: Simplify -1/2 into -1/2
73.860 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
73.860 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
73.860 * [taylor]: Taking taylor expansion of phi1 in phi2
73.860 * [backup-simplify]: Simplify phi1 into phi1
73.861 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.861 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
73.861 * [taylor]: Taking taylor expansion of phi2 in phi2
73.861 * [backup-simplify]: Simplify 0 into 0
73.861 * [backup-simplify]: Simplify 1 into 1
73.861 * [backup-simplify]: Simplify (/ 1 1) into 1
73.862 * [backup-simplify]: Simplify (+ 0 1) into 1
73.862 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
73.862 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.862 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi2
73.862 * [taylor]: Taking taylor expansion of lambda1 in phi2
73.862 * [backup-simplify]: Simplify lambda1 into lambda1
73.863 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.863 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2)
73.863 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))
73.863 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi2
73.863 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
73.863 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
73.863 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
73.863 * [taylor]: Taking taylor expansion of -1/2 in phi2
73.863 * [backup-simplify]: Simplify -1/2 into -1/2
73.863 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
73.863 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
73.863 * [taylor]: Taking taylor expansion of phi1 in phi2
73.863 * [backup-simplify]: Simplify phi1 into phi1
73.863 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.863 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
73.863 * [taylor]: Taking taylor expansion of phi2 in phi2
73.863 * [backup-simplify]: Simplify 0 into 0
73.863 * [backup-simplify]: Simplify 1 into 1
73.864 * [backup-simplify]: Simplify (/ 1 1) into 1
73.864 * [backup-simplify]: Simplify (+ 0 1) into 1
73.865 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
73.865 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.865 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi2
73.865 * [taylor]: Taking taylor expansion of lambda2 in phi2
73.865 * [backup-simplify]: Simplify lambda2 into lambda2
73.865 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.865 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2)
73.865 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
73.865 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in phi2
73.866 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi2
73.866 * [taylor]: Taking taylor expansion of 2 in phi2
73.866 * [backup-simplify]: Simplify 2 into 2
73.866 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi2
73.866 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi2
73.866 * [taylor]: Taking taylor expansion of phi1 in phi2
73.866 * [backup-simplify]: Simplify phi1 into phi1
73.866 * [taylor]: Taking taylor expansion of phi2 in phi2
73.866 * [backup-simplify]: Simplify 0 into 0
73.866 * [backup-simplify]: Simplify 1 into 1
73.866 * [backup-simplify]: Simplify (* phi1 0) into 0
73.866 * [backup-simplify]: Simplify (+ (* phi1 1) (* 0 0)) into phi1
73.866 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.866 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in phi2
73.866 * [taylor]: Taking taylor expansion of 2 in phi2
73.866 * [backup-simplify]: Simplify 2 into 2
73.866 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in phi2
73.867 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
73.867 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
73.867 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
73.867 * [taylor]: Taking taylor expansion of -1/2 in phi2
73.867 * [backup-simplify]: Simplify -1/2 into -1/2
73.867 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
73.867 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
73.867 * [taylor]: Taking taylor expansion of phi1 in phi2
73.867 * [backup-simplify]: Simplify phi1 into phi1
73.867 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.867 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
73.867 * [taylor]: Taking taylor expansion of phi2 in phi2
73.867 * [backup-simplify]: Simplify 0 into 0
73.867 * [backup-simplify]: Simplify 1 into 1
73.867 * [backup-simplify]: Simplify (/ 1 1) into 1
73.868 * [backup-simplify]: Simplify (+ 0 1) into 1
73.868 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
73.868 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.868 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in phi2
73.868 * [taylor]: Taking taylor expansion of lambda1 in phi2
73.868 * [backup-simplify]: Simplify lambda1 into lambda1
73.869 * [taylor]: Taking taylor expansion of lambda2 in phi2
73.869 * [backup-simplify]: Simplify lambda2 into lambda2
73.869 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.869 * [backup-simplify]: Simplify (* lambda1 lambda2) into (* lambda2 lambda1)
73.869 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))
73.870 * [backup-simplify]: Simplify (+ 1 0) into 1
73.870 * [backup-simplify]: Simplify (+ 1 0) into 1
73.870 * [backup-simplify]: Simplify (sqrt 1) into 1
73.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
73.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
73.872 * [backup-simplify]: Simplify (+ 0 0) into 0
73.872 * [backup-simplify]: Simplify (* 2 (/ 1 phi1)) into (/ 2 phi1)
73.872 * [backup-simplify]: Simplify (+ (/ 2 phi1) 0) into (* 2 (/ 1 phi1))
73.872 * [backup-simplify]: Simplify (- (* 2 (/ 1 phi1))) into (- (* 2 (/ 1 phi1)))
73.872 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi1)))) into (- (* 2 (/ 1 phi1)))
73.873 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 phi1))) (* 2 (sqrt 1))) into (/ -1 phi1)
73.873 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in phi1
73.873 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in phi1
73.873 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in phi1
73.873 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1
73.873 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1
73.873 * [taylor]: Taking taylor expansion of phi2 in phi1
73.873 * [backup-simplify]: Simplify phi2 into phi2
73.873 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
73.873 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2))
73.873 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in phi1
73.873 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1
73.873 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1
73.873 * [taylor]: Taking taylor expansion of phi1 in phi1
73.873 * [backup-simplify]: Simplify 0 into 0
73.873 * [backup-simplify]: Simplify 1 into 1
73.874 * [backup-simplify]: Simplify (* 1 1) into 1
73.874 * [backup-simplify]: Simplify (/ 1 1) into 1
73.874 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in phi1
73.874 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi1
73.874 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
73.874 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
73.874 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
73.874 * [taylor]: Taking taylor expansion of -1/2 in phi1
73.874 * [backup-simplify]: Simplify -1/2 into -1/2
73.874 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
73.874 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
73.874 * [taylor]: Taking taylor expansion of phi1 in phi1
73.874 * [backup-simplify]: Simplify 0 into 0
73.874 * [backup-simplify]: Simplify 1 into 1
73.875 * [backup-simplify]: Simplify (/ 1 1) into 1
73.875 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
73.875 * [taylor]: Taking taylor expansion of phi2 in phi1
73.875 * [backup-simplify]: Simplify phi2 into phi2
73.875 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.875 * [backup-simplify]: Simplify (+ 1 0) into 1
73.876 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
73.876 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.876 * [taylor]: Taking taylor expansion of (pow lambda1 2) in phi1
73.876 * [taylor]: Taking taylor expansion of lambda1 in phi1
73.876 * [backup-simplify]: Simplify lambda1 into lambda1
73.876 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.876 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2)
73.877 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))
73.877 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi1
73.877 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
73.877 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
73.877 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
73.877 * [taylor]: Taking taylor expansion of -1/2 in phi1
73.877 * [backup-simplify]: Simplify -1/2 into -1/2
73.877 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
73.877 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
73.877 * [taylor]: Taking taylor expansion of phi1 in phi1
73.877 * [backup-simplify]: Simplify 0 into 0
73.877 * [backup-simplify]: Simplify 1 into 1
73.877 * [backup-simplify]: Simplify (/ 1 1) into 1
73.877 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
73.877 * [taylor]: Taking taylor expansion of phi2 in phi1
73.877 * [backup-simplify]: Simplify phi2 into phi2
73.877 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.878 * [backup-simplify]: Simplify (+ 1 0) into 1
73.878 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
73.878 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.878 * [taylor]: Taking taylor expansion of (pow lambda2 2) in phi1
73.878 * [taylor]: Taking taylor expansion of lambda2 in phi1
73.878 * [backup-simplify]: Simplify lambda2 into lambda2
73.878 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.878 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2)
73.879 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
73.879 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in phi1
73.879 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1
73.879 * [taylor]: Taking taylor expansion of 2 in phi1
73.879 * [backup-simplify]: Simplify 2 into 2
73.879 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1
73.879 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1
73.879 * [taylor]: Taking taylor expansion of phi1 in phi1
73.879 * [backup-simplify]: Simplify 0 into 0
73.879 * [backup-simplify]: Simplify 1 into 1
73.879 * [taylor]: Taking taylor expansion of phi2 in phi1
73.879 * [backup-simplify]: Simplify phi2 into phi2
73.879 * [backup-simplify]: Simplify (* 0 phi2) into 0
73.879 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2
73.879 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.879 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in phi1
73.879 * [taylor]: Taking taylor expansion of 2 in phi1
73.879 * [backup-simplify]: Simplify 2 into 2
73.879 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in phi1
73.879 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
73.879 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
73.879 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
73.879 * [taylor]: Taking taylor expansion of -1/2 in phi1
73.879 * [backup-simplify]: Simplify -1/2 into -1/2
73.879 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
73.879 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
73.879 * [taylor]: Taking taylor expansion of phi1 in phi1
73.879 * [backup-simplify]: Simplify 0 into 0
73.879 * [backup-simplify]: Simplify 1 into 1
73.880 * [backup-simplify]: Simplify (/ 1 1) into 1
73.880 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
73.880 * [taylor]: Taking taylor expansion of phi2 in phi1
73.880 * [backup-simplify]: Simplify phi2 into phi2
73.880 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.880 * [backup-simplify]: Simplify (+ 1 0) into 1
73.880 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
73.880 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.880 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in phi1
73.880 * [taylor]: Taking taylor expansion of lambda1 in phi1
73.880 * [backup-simplify]: Simplify lambda1 into lambda1
73.880 * [taylor]: Taking taylor expansion of lambda2 in phi1
73.880 * [backup-simplify]: Simplify lambda2 into lambda2
73.881 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.881 * [backup-simplify]: Simplify (* lambda1 lambda2) into (* lambda2 lambda1)
73.881 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))
73.881 * [backup-simplify]: Simplify (+ 1 0) into 1
73.881 * [backup-simplify]: Simplify (+ 0 1) into 1
73.882 * [backup-simplify]: Simplify (+ 1 0) into 1
73.882 * [backup-simplify]: Simplify (sqrt 1) into 1
73.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
73.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
73.883 * [backup-simplify]: Simplify (+ 0 0) into 0
73.883 * [backup-simplify]: Simplify (+ 0 0) into 0
73.883 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2)
73.883 * [backup-simplify]: Simplify (+ (/ 2 phi2) 0) into (* 2 (/ 1 phi2))
73.883 * [backup-simplify]: Simplify (- (* 2 (/ 1 phi2))) into (- (* 2 (/ 1 phi2)))
73.884 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2)))
73.884 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 phi2))) (* 2 (sqrt 1))) into (/ -1 phi2)
73.884 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda2
73.884 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda2
73.884 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda2
73.884 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2
73.884 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2
73.884 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.884 * [backup-simplify]: Simplify phi2 into phi2
73.884 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
73.884 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2))
73.884 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda2
73.884 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2
73.884 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2
73.884 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.884 * [backup-simplify]: Simplify phi1 into phi1
73.884 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2)
73.884 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2))
73.884 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda2
73.884 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda2
73.884 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
73.884 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
73.884 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
73.884 * [taylor]: Taking taylor expansion of -1/2 in lambda2
73.885 * [backup-simplify]: Simplify -1/2 into -1/2
73.885 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
73.885 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
73.885 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.885 * [backup-simplify]: Simplify phi1 into phi1
73.885 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.885 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
73.885 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.885 * [backup-simplify]: Simplify phi2 into phi2
73.885 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.885 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
73.885 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
73.885 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.885 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.885 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.885 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
73.885 * [backup-simplify]: Simplify (- 0) into 0
73.886 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.886 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda2
73.886 * [taylor]: Taking taylor expansion of lambda1 in lambda2
73.886 * [backup-simplify]: Simplify lambda1 into lambda1
73.886 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.886 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2)
73.886 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2))
73.886 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2
73.886 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
73.886 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
73.886 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
73.886 * [taylor]: Taking taylor expansion of -1/2 in lambda2
73.886 * [backup-simplify]: Simplify -1/2 into -1/2
73.886 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
73.886 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
73.886 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.886 * [backup-simplify]: Simplify phi1 into phi1
73.886 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.886 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
73.886 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.886 * [backup-simplify]: Simplify phi2 into phi2
73.886 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.886 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
73.886 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
73.886 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.886 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.887 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.887 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
73.887 * [backup-simplify]: Simplify (- 0) into 0
73.887 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.887 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2
73.887 * [taylor]: Taking taylor expansion of lambda2 in lambda2
73.887 * [backup-simplify]: Simplify 0 into 0
73.887 * [backup-simplify]: Simplify 1 into 1
73.887 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.888 * [backup-simplify]: Simplify (* 1 1) into 1
73.888 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.888 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda2
73.888 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2
73.888 * [taylor]: Taking taylor expansion of 2 in lambda2
73.888 * [backup-simplify]: Simplify 2 into 2
73.888 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2
73.888 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2
73.888 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.888 * [backup-simplify]: Simplify phi1 into phi1
73.888 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.888 * [backup-simplify]: Simplify phi2 into phi2
73.888 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2)
73.888 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2))
73.888 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda2
73.888 * [taylor]: Taking taylor expansion of 2 in lambda2
73.888 * [backup-simplify]: Simplify 2 into 2
73.888 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda2
73.888 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
73.888 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
73.888 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
73.888 * [taylor]: Taking taylor expansion of -1/2 in lambda2
73.888 * [backup-simplify]: Simplify -1/2 into -1/2
73.888 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
73.888 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
73.888 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.888 * [backup-simplify]: Simplify phi1 into phi1
73.888 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.888 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
73.888 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.888 * [backup-simplify]: Simplify phi2 into phi2
73.888 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.888 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
73.888 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
73.888 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.888 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.889 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.889 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
73.889 * [backup-simplify]: Simplify (- 0) into 0
73.889 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.889 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda2
73.889 * [taylor]: Taking taylor expansion of lambda1 in lambda2
73.889 * [backup-simplify]: Simplify lambda1 into lambda1
73.889 * [taylor]: Taking taylor expansion of lambda2 in lambda2
73.889 * [backup-simplify]: Simplify 0 into 0
73.889 * [backup-simplify]: Simplify 1 into 1
73.889 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.889 * [backup-simplify]: Simplify (* lambda1 0) into 0
73.890 * [backup-simplify]: Simplify (+ (* lambda1 1) (* 0 0)) into lambda1
73.890 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)
73.890 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.890 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.890 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.890 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.890 * [backup-simplify]: Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.891 * [backup-simplify]: Simplify (+ 0) into 0
73.891 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
73.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
73.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
73.891 * [backup-simplify]: Simplify (+ 0 0) into 0
73.892 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
73.892 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
73.893 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
73.893 * [backup-simplify]: Simplify (- 0) into 0
73.893 * [backup-simplify]: Simplify (+ 0 0) into 0
73.893 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
73.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
73.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0
73.895 * [backup-simplify]: Simplify (+ 0 0) into 0
73.895 * [backup-simplify]: Simplify (+ 0 0) into 0
73.895 * [backup-simplify]: Simplify (+ 0 0) into 0
73.895 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))
73.895 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))
73.896 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))
73.896 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))
73.896 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1))
73.896 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda1
73.896 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda1
73.896 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda1
73.896 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1
73.896 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1
73.896 * [taylor]: Taking taylor expansion of phi2 in lambda1
73.896 * [backup-simplify]: Simplify phi2 into phi2
73.896 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
73.896 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2))
73.896 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda1
73.896 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1
73.896 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1
73.896 * [taylor]: Taking taylor expansion of phi1 in lambda1
73.896 * [backup-simplify]: Simplify phi1 into phi1
73.896 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2)
73.896 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2))
73.897 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda1
73.897 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1
73.897 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
73.897 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
73.897 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
73.897 * [taylor]: Taking taylor expansion of -1/2 in lambda1
73.897 * [backup-simplify]: Simplify -1/2 into -1/2
73.897 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
73.897 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
73.897 * [taylor]: Taking taylor expansion of phi1 in lambda1
73.897 * [backup-simplify]: Simplify phi1 into phi1
73.897 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.897 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
73.897 * [taylor]: Taking taylor expansion of phi2 in lambda1
73.897 * [backup-simplify]: Simplify phi2 into phi2
73.897 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.897 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
73.897 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
73.897 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.897 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.897 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.897 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
73.898 * [backup-simplify]: Simplify (- 0) into 0
73.898 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.898 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1
73.898 * [taylor]: Taking taylor expansion of lambda1 in lambda1
73.898 * [backup-simplify]: Simplify 0 into 0
73.898 * [backup-simplify]: Simplify 1 into 1
73.898 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.899 * [backup-simplify]: Simplify (* 1 1) into 1
73.899 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.899 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1
73.899 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
73.899 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
73.899 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
73.899 * [taylor]: Taking taylor expansion of -1/2 in lambda1
73.899 * [backup-simplify]: Simplify -1/2 into -1/2
73.899 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
73.899 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
73.899 * [taylor]: Taking taylor expansion of phi1 in lambda1
73.899 * [backup-simplify]: Simplify phi1 into phi1
73.899 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.899 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
73.899 * [taylor]: Taking taylor expansion of phi2 in lambda1
73.899 * [backup-simplify]: Simplify phi2 into phi2
73.899 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.900 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
73.900 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
73.900 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.900 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.900 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.900 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
73.901 * [backup-simplify]: Simplify (- 0) into 0
73.901 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.901 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1
73.901 * [taylor]: Taking taylor expansion of lambda2 in lambda1
73.901 * [backup-simplify]: Simplify lambda2 into lambda2
73.901 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.901 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2)
73.902 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
73.902 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda1
73.902 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1
73.902 * [taylor]: Taking taylor expansion of 2 in lambda1
73.902 * [backup-simplify]: Simplify 2 into 2
73.902 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1
73.902 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1
73.902 * [taylor]: Taking taylor expansion of phi1 in lambda1
73.902 * [backup-simplify]: Simplify phi1 into phi1
73.902 * [taylor]: Taking taylor expansion of phi2 in lambda1
73.902 * [backup-simplify]: Simplify phi2 into phi2
73.902 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2)
73.902 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2))
73.902 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda1
73.902 * [taylor]: Taking taylor expansion of 2 in lambda1
73.902 * [backup-simplify]: Simplify 2 into 2
73.902 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda1
73.902 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
73.902 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
73.902 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
73.902 * [taylor]: Taking taylor expansion of -1/2 in lambda1
73.902 * [backup-simplify]: Simplify -1/2 into -1/2
73.903 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
73.903 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
73.903 * [taylor]: Taking taylor expansion of phi1 in lambda1
73.903 * [backup-simplify]: Simplify phi1 into phi1
73.903 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.903 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
73.903 * [taylor]: Taking taylor expansion of phi2 in lambda1
73.903 * [backup-simplify]: Simplify phi2 into phi2
73.903 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.903 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
73.903 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
73.903 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.903 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.903 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.904 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
73.904 * [backup-simplify]: Simplify (- 0) into 0
73.904 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.904 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda1
73.904 * [taylor]: Taking taylor expansion of lambda1 in lambda1
73.904 * [backup-simplify]: Simplify 0 into 0
73.904 * [backup-simplify]: Simplify 1 into 1
73.905 * [taylor]: Taking taylor expansion of lambda2 in lambda1
73.905 * [backup-simplify]: Simplify lambda2 into lambda2
73.905 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.905 * [backup-simplify]: Simplify (* 0 lambda2) into 0
73.905 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda2)) into lambda2
73.906 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)
73.906 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.906 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.906 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.906 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.907 * [backup-simplify]: Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.907 * [backup-simplify]: Simplify (+ 0) into 0
73.908 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
73.908 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
73.908 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
73.908 * [backup-simplify]: Simplify (+ 0 0) into 0
73.909 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
73.910 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
73.910 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
73.911 * [backup-simplify]: Simplify (- 0) into 0
73.911 * [backup-simplify]: Simplify (+ 0 0) into 0
73.911 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
73.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
73.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0
73.914 * [backup-simplify]: Simplify (+ 0 0) into 0
73.914 * [backup-simplify]: Simplify (+ 0 0) into 0
73.914 * [backup-simplify]: Simplify (+ 0 0) into 0
73.915 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))
73.915 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))
73.915 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
73.916 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
73.916 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2))
73.916 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda1
73.916 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda1
73.916 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda1
73.917 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1
73.917 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda1
73.917 * [taylor]: Taking taylor expansion of phi2 in lambda1
73.917 * [backup-simplify]: Simplify phi2 into phi2
73.917 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
73.917 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2))
73.917 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda1
73.917 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1
73.917 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda1
73.917 * [taylor]: Taking taylor expansion of phi1 in lambda1
73.917 * [backup-simplify]: Simplify phi1 into phi1
73.917 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2)
73.917 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2))
73.917 * [taylor]: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda1
73.917 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1
73.917 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
73.917 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
73.917 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
73.917 * [taylor]: Taking taylor expansion of -1/2 in lambda1
73.917 * [backup-simplify]: Simplify -1/2 into -1/2
73.917 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
73.917 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
73.917 * [taylor]: Taking taylor expansion of phi1 in lambda1
73.917 * [backup-simplify]: Simplify phi1 into phi1
73.917 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.917 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
73.917 * [taylor]: Taking taylor expansion of phi2 in lambda1
73.918 * [backup-simplify]: Simplify phi2 into phi2
73.918 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.918 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
73.918 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
73.918 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.918 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.918 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.918 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
73.919 * [backup-simplify]: Simplify (- 0) into 0
73.919 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.919 * [taylor]: Taking taylor expansion of (pow lambda1 2) in lambda1
73.919 * [taylor]: Taking taylor expansion of lambda1 in lambda1
73.919 * [backup-simplify]: Simplify 0 into 0
73.919 * [backup-simplify]: Simplify 1 into 1
73.920 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.920 * [backup-simplify]: Simplify (* 1 1) into 1
73.920 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.920 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1
73.920 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
73.920 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
73.920 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
73.920 * [taylor]: Taking taylor expansion of -1/2 in lambda1
73.920 * [backup-simplify]: Simplify -1/2 into -1/2
73.920 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
73.920 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
73.920 * [taylor]: Taking taylor expansion of phi1 in lambda1
73.920 * [backup-simplify]: Simplify phi1 into phi1
73.921 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.921 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
73.921 * [taylor]: Taking taylor expansion of phi2 in lambda1
73.921 * [backup-simplify]: Simplify phi2 into phi2
73.921 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.921 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
73.921 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
73.921 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.921 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.921 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.921 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
73.922 * [backup-simplify]: Simplify (- 0) into 0
73.922 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.922 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda1
73.922 * [taylor]: Taking taylor expansion of lambda2 in lambda1
73.922 * [backup-simplify]: Simplify lambda2 into lambda2
73.923 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.923 * [backup-simplify]: Simplify (* lambda2 lambda2) into (pow lambda2 2)
73.923 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
73.923 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda1
73.923 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1
73.923 * [taylor]: Taking taylor expansion of 2 in lambda1
73.923 * [backup-simplify]: Simplify 2 into 2
73.923 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1
73.923 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda1
73.923 * [taylor]: Taking taylor expansion of phi1 in lambda1
73.924 * [backup-simplify]: Simplify phi1 into phi1
73.924 * [taylor]: Taking taylor expansion of phi2 in lambda1
73.924 * [backup-simplify]: Simplify phi2 into phi2
73.924 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2)
73.924 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2))
73.924 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda1
73.924 * [taylor]: Taking taylor expansion of 2 in lambda1
73.924 * [backup-simplify]: Simplify 2 into 2
73.924 * [taylor]: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda1
73.924 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
73.924 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
73.924 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
73.924 * [taylor]: Taking taylor expansion of -1/2 in lambda1
73.924 * [backup-simplify]: Simplify -1/2 into -1/2
73.924 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
73.924 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
73.924 * [taylor]: Taking taylor expansion of phi1 in lambda1
73.924 * [backup-simplify]: Simplify phi1 into phi1
73.924 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.924 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
73.924 * [taylor]: Taking taylor expansion of phi2 in lambda1
73.924 * [backup-simplify]: Simplify phi2 into phi2
73.925 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.925 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
73.925 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
73.925 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.925 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.926 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.926 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
73.926 * [backup-simplify]: Simplify (- 0) into 0
73.926 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.926 * [taylor]: Taking taylor expansion of (* lambda1 lambda2) in lambda1
73.926 * [taylor]: Taking taylor expansion of lambda1 in lambda1
73.926 * [backup-simplify]: Simplify 0 into 0
73.926 * [backup-simplify]: Simplify 1 into 1
73.926 * [taylor]: Taking taylor expansion of lambda2 in lambda1
73.926 * [backup-simplify]: Simplify lambda2 into lambda2
73.927 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.927 * [backup-simplify]: Simplify (* 0 lambda2) into 0
73.927 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 lambda2)) into lambda2
73.927 * [backup-simplify]: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)
73.927 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.927 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.928 * [backup-simplify]: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.928 * [backup-simplify]: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
73.928 * [backup-simplify]: Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.928 * [backup-simplify]: Simplify (+ 0) into 0
73.929 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
73.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
73.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
73.929 * [backup-simplify]: Simplify (+ 0 0) into 0
73.930 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
73.930 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
73.931 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
73.931 * [backup-simplify]: Simplify (- 0) into 0
73.931 * [backup-simplify]: Simplify (+ 0 0) into 0
73.932 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
73.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
73.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0
73.933 * [backup-simplify]: Simplify (+ 0 0) into 0
73.934 * [backup-simplify]: Simplify (+ 0 0) into 0
73.934 * [backup-simplify]: Simplify (+ 0 0) into 0
73.934 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))
73.934 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))
73.935 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
73.935 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
73.935 * [backup-simplify]: Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2))
73.935 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
73.935 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
73.935 * [taylor]: Taking taylor expansion of -1/2 in lambda2
73.935 * [backup-simplify]: Simplify -1/2 into -1/2
73.935 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
73.935 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
73.935 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.936 * [backup-simplify]: Simplify phi1 into phi1
73.936 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.936 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
73.936 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.936 * [backup-simplify]: Simplify phi2 into phi2
73.936 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.936 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
73.936 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
73.936 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.936 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.936 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) in lambda2
73.936 * [taylor]: Taking taylor expansion of -1 in lambda2
73.936 * [backup-simplify]: Simplify -1 into -1
73.936 * [taylor]: Taking taylor expansion of (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2) in lambda2
73.936 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
73.936 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
73.937 * [taylor]: Taking taylor expansion of -1/2 in lambda2
73.937 * [backup-simplify]: Simplify -1/2 into -1/2
73.937 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
73.937 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
73.937 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.937 * [backup-simplify]: Simplify phi1 into phi1
73.937 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.937 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
73.937 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.937 * [backup-simplify]: Simplify phi2 into phi2
73.937 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.937 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
73.937 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
73.937 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.937 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.937 * [taylor]: Taking taylor expansion of lambda2 in lambda2
73.937 * [backup-simplify]: Simplify 0 into 0
73.937 * [backup-simplify]: Simplify 1 into 1
73.937 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.937 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
73.938 * [backup-simplify]: Simplify (- 0) into 0
73.938 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.938 * [backup-simplify]: Simplify (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.938 * [backup-simplify]: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
73.938 * [taylor]: Taking taylor expansion of (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1
73.938 * [taylor]: Taking taylor expansion of -1 in phi1
73.938 * [backup-simplify]: Simplify -1 into -1
73.938 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
73.938 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
73.938 * [taylor]: Taking taylor expansion of -1/2 in phi1
73.938 * [backup-simplify]: Simplify -1/2 into -1/2
73.938 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
73.938 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
73.938 * [taylor]: Taking taylor expansion of phi1 in phi1
73.938 * [backup-simplify]: Simplify 0 into 0
73.938 * [backup-simplify]: Simplify 1 into 1
73.939 * [backup-simplify]: Simplify (/ 1 1) into 1
73.939 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
73.939 * [taylor]: Taking taylor expansion of phi2 in phi1
73.939 * [backup-simplify]: Simplify phi2 into phi2
73.939 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.939 * [backup-simplify]: Simplify (+ 1 0) into 1
73.940 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
73.940 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.940 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.940 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
73.940 * [backup-simplify]: Simplify (- 0) into 0
73.940 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.941 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
73.941 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
73.941 * [taylor]: Taking taylor expansion of -1/2 in phi1
73.941 * [backup-simplify]: Simplify -1/2 into -1/2
73.941 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
73.941 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
73.941 * [taylor]: Taking taylor expansion of phi1 in phi1
73.941 * [backup-simplify]: Simplify 0 into 0
73.941 * [backup-simplify]: Simplify 1 into 1
73.941 * [backup-simplify]: Simplify (/ 1 1) into 1
73.941 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
73.941 * [taylor]: Taking taylor expansion of phi2 in phi1
73.941 * [backup-simplify]: Simplify phi2 into phi2
73.941 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.942 * [backup-simplify]: Simplify (+ 1 0) into 1
73.942 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
73.942 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.943 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
73.943 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
73.943 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
73.943 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
73.944 * [backup-simplify]: Simplify (+ 0 0) into 0
73.944 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
73.945 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
73.945 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
73.945 * [backup-simplify]: Simplify (- 0) into 0
73.946 * [backup-simplify]: Simplify (+ 0 0) into 0
73.946 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
73.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
73.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
73.948 * [backup-simplify]: Simplify (+ 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
73.948 * [backup-simplify]: Simplify (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) into (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))
73.948 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) into (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))
73.948 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2))
73.949 * [backup-simplify]: Simplify (+ 0) into 0
73.949 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
73.949 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
73.949 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
73.950 * [backup-simplify]: Simplify (+ 0 0) into 0
73.950 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
73.951 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
73.951 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
73.951 * [backup-simplify]: Simplify (- 0) into 0
73.951 * [backup-simplify]: Simplify (+ 0 0) into 0
73.951 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
73.952 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 lambda2))) into 0
73.952 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)))) into 0
73.953 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into 0
73.953 * [backup-simplify]: Simplify (+ (/ 2 (* phi1 phi2)) 0) into (* 2 (/ 1 (* phi1 phi2)))
73.953 * [backup-simplify]: Simplify (- (* 2 (/ 1 (* phi1 phi2)))) into (- (* 2 (/ 1 (* phi1 phi2))))
73.953 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (* 2 (/ 1 (* phi1 phi2))))
73.954 * [backup-simplify]: Simplify (/ (- (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (* 2 (/ 1 (* phi1 phi2)))) (pow (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 2) (+)) (* 2 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))
73.954 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2
73.954 * [taylor]: Taking taylor expansion of 1/2 in lambda2
73.954 * [backup-simplify]: Simplify 1/2 into 1/2
73.954 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2
73.954 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in lambda2
73.954 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in lambda2
73.954 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2
73.954 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2
73.954 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.954 * [backup-simplify]: Simplify phi2 into phi2
73.954 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
73.954 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2))
73.954 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2
73.954 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2
73.954 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.954 * [backup-simplify]: Simplify phi1 into phi1
73.954 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2)
73.954 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2))
73.955 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2
73.955 * [taylor]: Taking taylor expansion of 2 in lambda2
73.955 * [backup-simplify]: Simplify 2 into 2
73.955 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2
73.955 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2
73.955 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.955 * [backup-simplify]: Simplify phi1 into phi1
73.955 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.955 * [backup-simplify]: Simplify phi2 into phi2
73.955 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2)
73.955 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2))
73.955 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
73.955 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
73.955 * [taylor]: Taking taylor expansion of -1/2 in lambda2
73.955 * [backup-simplify]: Simplify -1/2 into -1/2
73.955 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
73.955 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
73.955 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.955 * [backup-simplify]: Simplify phi1 into phi1
73.955 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.955 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
73.955 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.955 * [backup-simplify]: Simplify phi2 into phi2
73.955 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.955 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
73.955 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
73.955 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.955 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.955 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))
73.955 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2))
73.955 * [backup-simplify]: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2))))
73.956 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2))))
73.956 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.956 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
73.956 * [backup-simplify]: Simplify (- 0) into 0
73.956 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.956 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
73.957 * [backup-simplify]: Simplify (+ 0) into 0
73.957 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
73.957 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
73.957 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
73.957 * [backup-simplify]: Simplify (+ 0 0) into 0
73.958 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
73.958 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
73.959 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
73.959 * [backup-simplify]: Simplify (- 0) into 0
73.961 * [backup-simplify]: Simplify (+ 0 0) into 0
73.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)))) into 0
73.962 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
73.962 * [taylor]: Taking taylor expansion of 0 in phi1
73.962 * [backup-simplify]: Simplify 0 into 0
73.962 * [backup-simplify]: Simplify (+ 0) into 0
73.962 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
73.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
73.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
73.963 * [backup-simplify]: Simplify (+ 0 0) into 0
73.963 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
73.964 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
73.964 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
73.964 * [backup-simplify]: Simplify (- 0) into 0
73.964 * [backup-simplify]: Simplify (+ 0 0) into 0
73.965 * [taylor]: Taking taylor expansion of 0 in phi1
73.965 * [backup-simplify]: Simplify 0 into 0
73.965 * [backup-simplify]: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
73.965 * [taylor]: Taking taylor expansion of (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi2
73.965 * [taylor]: Taking taylor expansion of -1 in phi2
73.965 * [backup-simplify]: Simplify -1 into -1
73.965 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
73.965 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
73.965 * [taylor]: Taking taylor expansion of -1/2 in phi2
73.965 * [backup-simplify]: Simplify -1/2 into -1/2
73.965 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
73.965 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
73.965 * [taylor]: Taking taylor expansion of phi1 in phi2
73.965 * [backup-simplify]: Simplify phi1 into phi1
73.965 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.965 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
73.965 * [taylor]: Taking taylor expansion of phi2 in phi2
73.965 * [backup-simplify]: Simplify 0 into 0
73.965 * [backup-simplify]: Simplify 1 into 1
73.965 * [backup-simplify]: Simplify (/ 1 1) into 1
73.965 * [backup-simplify]: Simplify (+ 0 1) into 1
73.966 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
73.966 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.966 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
73.966 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
73.966 * [taylor]: Taking taylor expansion of -1/2 in phi2
73.966 * [backup-simplify]: Simplify -1/2 into -1/2
73.966 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
73.966 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
73.966 * [taylor]: Taking taylor expansion of phi1 in phi2
73.966 * [backup-simplify]: Simplify phi1 into phi1
73.966 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.966 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
73.966 * [taylor]: Taking taylor expansion of phi2 in phi2
73.966 * [backup-simplify]: Simplify 0 into 0
73.966 * [backup-simplify]: Simplify 1 into 1
73.966 * [backup-simplify]: Simplify (/ 1 1) into 1
73.967 * [backup-simplify]: Simplify (+ 0 1) into 1
73.967 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
73.967 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.967 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0
73.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))))) into 0
73.967 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0
73.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))))) into 0
73.968 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
73.968 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
73.969 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
73.969 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
73.969 * [backup-simplify]: Simplify (+ 0 0) into 0
73.970 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
73.971 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
73.971 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
73.971 * [backup-simplify]: Simplify (- 0) into 0
73.972 * [backup-simplify]: Simplify (+ 0 0) into 0
73.972 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into 0
73.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
73.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
73.974 * [backup-simplify]: Simplify (+ 0) into 0
73.975 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
73.975 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
73.975 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
73.975 * [backup-simplify]: Simplify (+ 0 0) into 0
73.976 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
73.976 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
73.976 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
73.977 * [backup-simplify]: Simplify (- 0) into 0
73.977 * [backup-simplify]: Simplify (+ 0 0) into 0
73.977 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
73.977 * [backup-simplify]: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0
73.977 * [backup-simplify]: Simplify (- (/ 0 (pow lambda2 2)) (+ (* (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ 0 (pow lambda2 2))))) into 0
73.978 * [backup-simplify]: Simplify (+ 0 0) into 0
73.978 * [backup-simplify]: Simplify (+ 0 0) into 0
73.978 * [backup-simplify]: Simplify (+ 0 0) into 0
73.978 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0
73.978 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))))) into 0
73.978 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (* phi1 phi2)))) into 0
73.979 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
73.980 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
73.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
73.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
73.980 * [backup-simplify]: Simplify (+ 0 0) into 0
73.981 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
73.981 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
73.982 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
73.982 * [backup-simplify]: Simplify (- 0) into 0
73.982 * [backup-simplify]: Simplify (+ 0 0) into 0
73.982 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
73.983 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 lambda2)))) into 0
73.983 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
73.984 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into 0
73.984 * [backup-simplify]: Simplify (+ 0 0) into 0
73.984 * [backup-simplify]: Simplify (- 0) into 0
73.985 * [backup-simplify]: Simplify (+ 0 0) into 0
73.985 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))))) (* 2 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))
73.985 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2
73.985 * [taylor]: Taking taylor expansion of 1/2 in lambda2
73.985 * [backup-simplify]: Simplify 1/2 into 1/2
73.985 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2
73.985 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) in lambda2
73.985 * [taylor]: Taking taylor expansion of (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) in lambda2
73.985 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (pow phi2 2))) in lambda2
73.985 * [taylor]: Taking taylor expansion of (* lambda2 (pow phi2 2)) in lambda2
73.986 * [taylor]: Taking taylor expansion of lambda2 in lambda2
73.986 * [backup-simplify]: Simplify 0 into 0
73.986 * [backup-simplify]: Simplify 1 into 1
73.986 * [taylor]: Taking taylor expansion of (pow phi2 2) in lambda2
73.986 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.986 * [backup-simplify]: Simplify phi2 into phi2
73.986 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
73.986 * [backup-simplify]: Simplify (* 0 (pow phi2 2)) into 0
73.986 * [backup-simplify]: Simplify (+ (* phi2 0) (* 0 phi2)) into 0
73.986 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow phi2 2))) into (pow phi2 2)
73.986 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2))
73.986 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (pow phi1 2))) in lambda2
73.986 * [taylor]: Taking taylor expansion of (* lambda2 (pow phi1 2)) in lambda2
73.986 * [taylor]: Taking taylor expansion of lambda2 in lambda2
73.986 * [backup-simplify]: Simplify 0 into 0
73.986 * [backup-simplify]: Simplify 1 into 1
73.986 * [taylor]: Taking taylor expansion of (pow phi1 2) in lambda2
73.986 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.986 * [backup-simplify]: Simplify phi1 into phi1
73.987 * [backup-simplify]: Simplify (* phi1 phi1) into (pow phi1 2)
73.987 * [backup-simplify]: Simplify (* 0 (pow phi1 2)) into 0
73.987 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi1)) into 0
73.987 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow phi1 2))) into (pow phi1 2)
73.987 * [backup-simplify]: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2))
73.987 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* lambda2 (* phi1 phi2)))) in lambda2
73.987 * [taylor]: Taking taylor expansion of 2 in lambda2
73.987 * [backup-simplify]: Simplify 2 into 2
73.987 * [taylor]: Taking taylor expansion of (/ 1 (* lambda2 (* phi1 phi2))) in lambda2
73.987 * [taylor]: Taking taylor expansion of (* lambda2 (* phi1 phi2)) in lambda2
73.987 * [taylor]: Taking taylor expansion of lambda2 in lambda2
73.987 * [backup-simplify]: Simplify 0 into 0
73.987 * [backup-simplify]: Simplify 1 into 1
73.987 * [taylor]: Taking taylor expansion of (* phi1 phi2) in lambda2
73.987 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.987 * [backup-simplify]: Simplify phi1 into phi1
73.987 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.987 * [backup-simplify]: Simplify phi2 into phi2
73.987 * [backup-simplify]: Simplify (* phi1 phi2) into (* phi1 phi2)
73.987 * [backup-simplify]: Simplify (* 0 (* phi1 phi2)) into 0
73.987 * [backup-simplify]: Simplify (+ (* phi1 0) (* 0 phi2)) into 0
73.988 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* phi1 phi2))) into (* phi1 phi2)
73.988 * [backup-simplify]: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2))
73.988 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
73.988 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
73.988 * [taylor]: Taking taylor expansion of -1/2 in lambda2
73.988 * [backup-simplify]: Simplify -1/2 into -1/2
73.988 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
73.988 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
73.988 * [taylor]: Taking taylor expansion of phi1 in lambda2
73.988 * [backup-simplify]: Simplify phi1 into phi1
73.988 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.988 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
73.988 * [taylor]: Taking taylor expansion of phi2 in lambda2
73.988 * [backup-simplify]: Simplify phi2 into phi2
73.988 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.988 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
73.988 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
73.988 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.988 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.988 * [backup-simplify]: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))
73.988 * [backup-simplify]: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2))
73.988 * [backup-simplify]: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2))))
73.989 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2))))
73.989 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.989 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
73.989 * [backup-simplify]: Simplify (- 0) into 0
73.989 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.989 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
73.990 * [backup-simplify]: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))
73.990 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1
73.990 * [taylor]: Taking taylor expansion of 1/2 in phi1
73.990 * [backup-simplify]: Simplify 1/2 into 1/2
73.990 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1
73.990 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1
73.990 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1
73.990 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1
73.990 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1
73.990 * [taylor]: Taking taylor expansion of phi2 in phi1
73.990 * [backup-simplify]: Simplify phi2 into phi2
73.990 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
73.990 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2))
73.990 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1
73.990 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1
73.990 * [taylor]: Taking taylor expansion of phi1 in phi1
73.990 * [backup-simplify]: Simplify 0 into 0
73.990 * [backup-simplify]: Simplify 1 into 1
73.990 * [backup-simplify]: Simplify (* 1 1) into 1
73.990 * [backup-simplify]: Simplify (/ 1 1) into 1
73.990 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1
73.990 * [taylor]: Taking taylor expansion of 2 in phi1
73.990 * [backup-simplify]: Simplify 2 into 2
73.990 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1
73.990 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1
73.991 * [taylor]: Taking taylor expansion of phi1 in phi1
73.991 * [backup-simplify]: Simplify 0 into 0
73.991 * [backup-simplify]: Simplify 1 into 1
73.991 * [taylor]: Taking taylor expansion of phi2 in phi1
73.991 * [backup-simplify]: Simplify phi2 into phi2
73.991 * [backup-simplify]: Simplify (* 0 phi2) into 0
73.991 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2
73.991 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.991 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
73.991 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
73.991 * [taylor]: Taking taylor expansion of -1/2 in phi1
73.991 * [backup-simplify]: Simplify -1/2 into -1/2
73.991 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
73.991 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
73.991 * [taylor]: Taking taylor expansion of phi1 in phi1
73.991 * [backup-simplify]: Simplify 0 into 0
73.991 * [backup-simplify]: Simplify 1 into 1
73.991 * [backup-simplify]: Simplify (/ 1 1) into 1
73.991 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
73.991 * [taylor]: Taking taylor expansion of phi2 in phi1
73.991 * [backup-simplify]: Simplify phi2 into phi2
73.991 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.992 * [backup-simplify]: Simplify (+ 1 0) into 1
73.992 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
73.992 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.992 * [backup-simplify]: Simplify (+ 0 1) into 1
73.993 * [backup-simplify]: Simplify (+ 1 0) into 1
73.993 * [backup-simplify]: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
73.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
73.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
73.994 * [backup-simplify]: Simplify (+ 0 0) into 0
73.994 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2)
73.994 * [backup-simplify]: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2)))
73.994 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2)))
73.994 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))
73.994 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))
73.994 * [taylor]: Taking taylor expansion of (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2
73.994 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2
73.994 * [taylor]: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2
73.995 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
73.995 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
73.995 * [taylor]: Taking taylor expansion of -1/2 in phi2
73.995 * [backup-simplify]: Simplify -1/2 into -1/2
73.995 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
73.995 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
73.995 * [taylor]: Taking taylor expansion of phi1 in phi2
73.995 * [backup-simplify]: Simplify phi1 into phi1
73.995 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
73.995 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
73.995 * [taylor]: Taking taylor expansion of phi2 in phi2
73.995 * [backup-simplify]: Simplify 0 into 0
73.995 * [backup-simplify]: Simplify 1 into 1
73.995 * [backup-simplify]: Simplify (/ 1 1) into 1
73.995 * [backup-simplify]: Simplify (+ 0 1) into 1
73.996 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
73.996 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.996 * [taylor]: Taking taylor expansion of phi2 in phi2
73.996 * [backup-simplify]: Simplify 0 into 0
73.996 * [backup-simplify]: Simplify 1 into 1
73.996 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
73.996 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.996 * [backup-simplify]: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
73.996 * [backup-simplify]: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))
73.996 * [backup-simplify]: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))
73.997 * [backup-simplify]: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))
73.997 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1
73.997 * [taylor]: Taking taylor expansion of 1/2 in phi1
73.997 * [backup-simplify]: Simplify 1/2 into 1/2
73.997 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1
73.997 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1
73.997 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1
73.997 * [taylor]: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1
73.997 * [taylor]: Taking taylor expansion of (pow phi2 2) in phi1
73.997 * [taylor]: Taking taylor expansion of phi2 in phi1
73.997 * [backup-simplify]: Simplify phi2 into phi2
73.997 * [backup-simplify]: Simplify (* phi2 phi2) into (pow phi2 2)
73.997 * [backup-simplify]: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2))
73.997 * [taylor]: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1
73.997 * [taylor]: Taking taylor expansion of (pow phi1 2) in phi1
73.997 * [taylor]: Taking taylor expansion of phi1 in phi1
73.997 * [backup-simplify]: Simplify 0 into 0
73.997 * [backup-simplify]: Simplify 1 into 1
73.997 * [backup-simplify]: Simplify (* 1 1) into 1
73.998 * [backup-simplify]: Simplify (/ 1 1) into 1
73.998 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1
73.998 * [taylor]: Taking taylor expansion of 2 in phi1
73.998 * [backup-simplify]: Simplify 2 into 2
73.998 * [taylor]: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1
73.998 * [taylor]: Taking taylor expansion of (* phi1 phi2) in phi1
73.998 * [taylor]: Taking taylor expansion of phi1 in phi1
73.998 * [backup-simplify]: Simplify 0 into 0
73.998 * [backup-simplify]: Simplify 1 into 1
73.998 * [taylor]: Taking taylor expansion of phi2 in phi1
73.998 * [backup-simplify]: Simplify phi2 into phi2
73.998 * [backup-simplify]: Simplify (* 0 phi2) into 0
73.998 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 phi2)) into phi2
73.998 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.998 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
73.998 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
73.998 * [taylor]: Taking taylor expansion of -1/2 in phi1
73.998 * [backup-simplify]: Simplify -1/2 into -1/2
73.998 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
73.998 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
73.998 * [taylor]: Taking taylor expansion of phi1 in phi1
73.998 * [backup-simplify]: Simplify 0 into 0
73.998 * [backup-simplify]: Simplify 1 into 1
73.998 * [backup-simplify]: Simplify (/ 1 1) into 1
73.998 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
73.998 * [taylor]: Taking taylor expansion of phi2 in phi1
73.998 * [backup-simplify]: Simplify phi2 into phi2
73.999 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
73.999 * [backup-simplify]: Simplify (+ 1 0) into 1
73.999 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
73.999 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
73.999 * [backup-simplify]: Simplify (+ 0 1) into 1
74.000 * [backup-simplify]: Simplify (+ 1 0) into 1
74.000 * [backup-simplify]: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
74.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
74.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
74.001 * [backup-simplify]: Simplify (+ 0 0) into 0
74.001 * [backup-simplify]: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2)
74.001 * [backup-simplify]: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2)))
74.001 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2)))
74.001 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))
74.002 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))
74.002 * [taylor]: Taking taylor expansion of (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2
74.002 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2
74.002 * [taylor]: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2
74.002 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
74.002 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
74.002 * [taylor]: Taking taylor expansion of -1/2 in phi2
74.002 * [backup-simplify]: Simplify -1/2 into -1/2
74.002 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
74.002 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
74.002 * [taylor]: Taking taylor expansion of phi1 in phi2
74.002 * [backup-simplify]: Simplify phi1 into phi1
74.002 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.002 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
74.002 * [taylor]: Taking taylor expansion of phi2 in phi2
74.002 * [backup-simplify]: Simplify 0 into 0
74.002 * [backup-simplify]: Simplify 1 into 1
74.002 * [backup-simplify]: Simplify (/ 1 1) into 1
74.002 * [backup-simplify]: Simplify (+ 0 1) into 1
74.003 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
74.003 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.003 * [taylor]: Taking taylor expansion of phi2 in phi2
74.003 * [backup-simplify]: Simplify 0 into 0
74.003 * [backup-simplify]: Simplify 1 into 1
74.003 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
74.003 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.003 * [backup-simplify]: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
74.003 * [backup-simplify]: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))
74.004 * [backup-simplify]: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))
74.004 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
74.005 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
74.005 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
74.005 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
74.005 * [backup-simplify]: Simplify (+ 0 0) into 0
74.006 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
74.006 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
74.006 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
74.007 * [backup-simplify]: Simplify (- 0) into 0
74.007 * [backup-simplify]: Simplify (+ 0 0) into 0
74.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
74.008 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
74.008 * [taylor]: Taking taylor expansion of 0 in phi1
74.008 * [backup-simplify]: Simplify 0 into 0
74.009 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
74.009 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
74.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
74.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
74.010 * [backup-simplify]: Simplify (+ 0 0) into 0
74.011 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
74.011 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
74.011 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
74.012 * [backup-simplify]: Simplify (- 0) into 0
74.012 * [backup-simplify]: Simplify (+ 0 0) into 0
74.012 * [taylor]: Taking taylor expansion of 0 in phi1
74.012 * [backup-simplify]: Simplify 0 into 0
74.012 * [taylor]: Taking taylor expansion of 0 in phi2
74.012 * [backup-simplify]: Simplify 0 into 0
74.012 * [taylor]: Taking taylor expansion of 0 in phi2
74.012 * [backup-simplify]: Simplify 0 into 0
74.012 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
74.012 * [taylor]: Taking taylor expansion of 0 in phi2
74.012 * [backup-simplify]: Simplify 0 into 0
74.012 * [taylor]: Taking taylor expansion of 0 in phi2
74.012 * [backup-simplify]: Simplify 0 into 0
74.013 * [backup-simplify]: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
74.013 * [backup-simplify]: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))
74.013 * [backup-simplify]: Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2))))))) (* 1 (* 1 (* (/ 1 (/ 1 (- lambda2))) 1)))) (+ (* (- (/ 1 (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))))) (* (/ 1 (/ 1 (- phi2))) (* (/ 1 (/ 1 (- phi1))) (* 1 (/ 1 (- lambda1)))))) (* (- (/ 1 (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))))) (* (/ 1 (/ 1 (- phi2))) (* (/ 1 (/ 1 (- phi1))) (* (/ 1 (/ 1 (- lambda2))) (pow (/ 1 (- lambda1)) 2))))))) into (+ (/ (* lambda2 (* phi1 phi2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))) (+ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) (/ (* phi1 phi2) (* lambda1 (cos (* 1/2 (+ phi1 phi2)))))))
74.013 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2)
74.014 * [backup-simplify]: Simplify (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) into (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3)
74.014 * [approximate]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in (lambda1 lambda2 phi1 phi2) around 0
74.014 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in phi2
74.014 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in phi2
74.014 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in phi2
74.014 * [taylor]: Taking taylor expansion of 1/3 in phi2
74.014 * [backup-simplify]: Simplify 1/3 into 1/3
74.014 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in phi2
74.014 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2
74.014 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2
74.014 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2
74.014 * [taylor]: Taking taylor expansion of lambda1 in phi2
74.014 * [backup-simplify]: Simplify lambda1 into lambda1
74.014 * [taylor]: Taking taylor expansion of lambda2 in phi2
74.014 * [backup-simplify]: Simplify lambda2 into lambda2
74.014 * [backup-simplify]: Simplify (- lambda2) into (- lambda2)
74.014 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
74.014 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2
74.014 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2
74.014 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2
74.014 * [taylor]: Taking taylor expansion of 1/2 in phi2
74.014 * [backup-simplify]: Simplify 1/2 into 1/2
74.014 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2
74.014 * [taylor]: Taking taylor expansion of phi1 in phi2
74.014 * [backup-simplify]: Simplify phi1 into phi1
74.014 * [taylor]: Taking taylor expansion of phi2 in phi2
74.014 * [backup-simplify]: Simplify 0 into 0
74.014 * [backup-simplify]: Simplify 1 into 1
74.014 * [backup-simplify]: Simplify (+ phi1 0) into phi1
74.014 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1)
74.014 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
74.014 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
74.014 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1))
74.014 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0
74.015 * [backup-simplify]: Simplify (- 0) into 0
74.015 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1))
74.015 * [backup-simplify]: Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
74.015 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2)
74.015 * [backup-simplify]: Simplify (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) into (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))
74.015 * [backup-simplify]: Simplify (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))) into (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)))
74.015 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)))) into (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))))
74.015 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))))) into (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 1/3)
74.015 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in phi1
74.015 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in phi1
74.015 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in phi1
74.015 * [taylor]: Taking taylor expansion of 1/3 in phi1
74.015 * [backup-simplify]: Simplify 1/3 into 1/3
74.016 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in phi1
74.016 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1
74.016 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi1
74.016 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi1
74.016 * [taylor]: Taking taylor expansion of lambda1 in phi1
74.016 * [backup-simplify]: Simplify lambda1 into lambda1
74.016 * [taylor]: Taking taylor expansion of lambda2 in phi1
74.016 * [backup-simplify]: Simplify lambda2 into lambda2
74.016 * [backup-simplify]: Simplify (- lambda2) into (- lambda2)
74.016 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
74.016 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1
74.016 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1
74.016 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1
74.016 * [taylor]: Taking taylor expansion of 1/2 in phi1
74.016 * [backup-simplify]: Simplify 1/2 into 1/2
74.016 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1
74.016 * [taylor]: Taking taylor expansion of phi1 in phi1
74.016 * [backup-simplify]: Simplify 0 into 0
74.016 * [backup-simplify]: Simplify 1 into 1
74.016 * [taylor]: Taking taylor expansion of phi2 in phi1
74.016 * [backup-simplify]: Simplify phi2 into phi2
74.016 * [backup-simplify]: Simplify (+ 0 phi2) into phi2
74.016 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2)
74.016 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
74.016 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
74.016 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
74.016 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0
74.016 * [backup-simplify]: Simplify (- 0) into 0
74.016 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
74.016 * [backup-simplify]: Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
74.017 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2)
74.017 * [backup-simplify]: Simplify (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))
74.017 * [backup-simplify]: Simplify (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) into (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))
74.017 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))
74.017 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) into (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3)
74.017 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda2
74.017 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda2
74.017 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda2
74.017 * [taylor]: Taking taylor expansion of 1/3 in lambda2
74.017 * [backup-simplify]: Simplify 1/3 into 1/3
74.017 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda2
74.017 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2
74.017 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda2
74.017 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2
74.017 * [taylor]: Taking taylor expansion of lambda1 in lambda2
74.017 * [backup-simplify]: Simplify lambda1 into lambda1
74.017 * [taylor]: Taking taylor expansion of lambda2 in lambda2
74.017 * [backup-simplify]: Simplify 0 into 0
74.017 * [backup-simplify]: Simplify 1 into 1
74.017 * [backup-simplify]: Simplify (- 0) into 0
74.018 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1
74.018 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
74.018 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
74.018 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
74.018 * [taylor]: Taking taylor expansion of 1/2 in lambda2
74.018 * [backup-simplify]: Simplify 1/2 into 1/2
74.018 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2
74.018 * [taylor]: Taking taylor expansion of phi1 in lambda2
74.018 * [backup-simplify]: Simplify phi1 into phi1
74.018 * [taylor]: Taking taylor expansion of phi2 in lambda2
74.018 * [backup-simplify]: Simplify phi2 into phi2
74.018 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
74.018 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
74.018 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
74.018 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
74.018 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
74.018 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
74.018 * [backup-simplify]: Simplify (- 0) into 0
74.018 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
74.018 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2)
74.018 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
74.019 * [backup-simplify]: Simplify (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))
74.019 * [backup-simplify]: Simplify (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))) into (log (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
74.019 * [backup-simplify]: Simplify (* 1/3 (log (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))
74.019 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))) into (pow (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3)
74.019 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda1
74.019 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda1
74.019 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda1
74.019 * [taylor]: Taking taylor expansion of 1/3 in lambda1
74.019 * [backup-simplify]: Simplify 1/3 into 1/3
74.019 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda1
74.019 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1
74.019 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1
74.019 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1
74.019 * [taylor]: Taking taylor expansion of lambda1 in lambda1
74.019 * [backup-simplify]: Simplify 0 into 0
74.019 * [backup-simplify]: Simplify 1 into 1
74.019 * [taylor]: Taking taylor expansion of lambda2 in lambda1
74.019 * [backup-simplify]: Simplify lambda2 into lambda2
74.019 * [backup-simplify]: Simplify (- lambda2) into (- lambda2)
74.019 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2)
74.019 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1
74.019 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1
74.019 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1
74.019 * [taylor]: Taking taylor expansion of 1/2 in lambda1
74.019 * [backup-simplify]: Simplify 1/2 into 1/2
74.019 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1
74.019 * [taylor]: Taking taylor expansion of phi1 in lambda1
74.019 * [backup-simplify]: Simplify phi1 into phi1
74.019 * [taylor]: Taking taylor expansion of phi2 in lambda1
74.019 * [backup-simplify]: Simplify phi2 into phi2
74.019 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
74.019 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
74.019 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
74.020 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
74.020 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
74.020 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
74.020 * [backup-simplify]: Simplify (- 0) into 0
74.020 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
74.020 * [backup-simplify]: Simplify (* (- lambda2) (- lambda2)) into (pow lambda2 2)
74.020 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
74.020 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))
74.020 * [backup-simplify]: Simplify (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
74.021 * [backup-simplify]: Simplify (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
74.021 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3)
74.021 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda1
74.021 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda1
74.021 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda1
74.021 * [taylor]: Taking taylor expansion of 1/3 in lambda1
74.021 * [backup-simplify]: Simplify 1/3 into 1/3
74.021 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda1
74.021 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1
74.021 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1
74.021 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1
74.021 * [taylor]: Taking taylor expansion of lambda1 in lambda1
74.021 * [backup-simplify]: Simplify 0 into 0
74.021 * [backup-simplify]: Simplify 1 into 1
74.021 * [taylor]: Taking taylor expansion of lambda2 in lambda1
74.021 * [backup-simplify]: Simplify lambda2 into lambda2
74.021 * [backup-simplify]: Simplify (- lambda2) into (- lambda2)
74.021 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2)
74.021 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1
74.021 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1
74.021 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1
74.021 * [taylor]: Taking taylor expansion of 1/2 in lambda1
74.021 * [backup-simplify]: Simplify 1/2 into 1/2
74.021 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1
74.021 * [taylor]: Taking taylor expansion of phi1 in lambda1
74.021 * [backup-simplify]: Simplify phi1 into phi1
74.021 * [taylor]: Taking taylor expansion of phi2 in lambda1
74.021 * [backup-simplify]: Simplify phi2 into phi2
74.021 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
74.021 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
74.021 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
74.021 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
74.021 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
74.021 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
74.022 * [backup-simplify]: Simplify (- 0) into 0
74.022 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
74.022 * [backup-simplify]: Simplify (* (- lambda2) (- lambda2)) into (pow lambda2 2)
74.022 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
74.022 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))
74.022 * [backup-simplify]: Simplify (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
74.022 * [backup-simplify]: Simplify (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
74.022 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3)
74.022 * [taylor]: Taking taylor expansion of (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda2
74.022 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda2
74.023 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda2
74.023 * [taylor]: Taking taylor expansion of 1/3 in lambda2
74.023 * [backup-simplify]: Simplify 1/3 into 1/3
74.023 * [taylor]: Taking taylor expansion of (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda2
74.023 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2
74.023 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2
74.023 * [taylor]: Taking taylor expansion of lambda2 in lambda2
74.023 * [backup-simplify]: Simplify 0 into 0
74.023 * [backup-simplify]: Simplify 1 into 1
74.023 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
74.023 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
74.023 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
74.023 * [taylor]: Taking taylor expansion of 1/2 in lambda2
74.023 * [backup-simplify]: Simplify 1/2 into 1/2
74.023 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2
74.023 * [taylor]: Taking taylor expansion of phi1 in lambda2
74.023 * [backup-simplify]: Simplify phi1 into phi1
74.023 * [taylor]: Taking taylor expansion of phi2 in lambda2
74.023 * [backup-simplify]: Simplify phi2 into phi2
74.023 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
74.023 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
74.023 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
74.023 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
74.023 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
74.023 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
74.023 * [backup-simplify]: Simplify (- 0) into 0
74.023 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
74.024 * [backup-simplify]: Simplify (* 1 1) into 1
74.024 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
74.024 * [backup-simplify]: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
74.024 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))
74.024 * [backup-simplify]: Simplify (+ (* (- -2) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))
74.024 * [backup-simplify]: Simplify (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))) into (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))
74.025 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))))
74.025 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) in phi1
74.025 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))) in phi1
74.025 * [taylor]: Taking taylor expansion of 1/3 in phi1
74.025 * [backup-simplify]: Simplify 1/3 into 1/3
74.025 * [taylor]: Taking taylor expansion of (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))) in phi1
74.025 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1
74.025 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1
74.025 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1
74.025 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1
74.025 * [taylor]: Taking taylor expansion of 1/2 in phi1
74.025 * [backup-simplify]: Simplify 1/2 into 1/2
74.025 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1
74.025 * [taylor]: Taking taylor expansion of phi1 in phi1
74.025 * [backup-simplify]: Simplify 0 into 0
74.025 * [backup-simplify]: Simplify 1 into 1
74.025 * [taylor]: Taking taylor expansion of phi2 in phi1
74.025 * [backup-simplify]: Simplify phi2 into phi2
74.025 * [backup-simplify]: Simplify (+ 0 phi2) into phi2
74.025 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2)
74.025 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
74.025 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
74.025 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
74.025 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0
74.025 * [backup-simplify]: Simplify (- 0) into 0
74.025 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
74.025 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2)
74.025 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2))
74.026 * [taylor]: Taking taylor expansion of (* 2 (log lambda2)) in phi1
74.026 * [taylor]: Taking taylor expansion of 2 in phi1
74.026 * [backup-simplify]: Simplify 2 into 2
74.026 * [taylor]: Taking taylor expansion of (log lambda2) in phi1
74.026 * [taylor]: Taking taylor expansion of lambda2 in phi1
74.026 * [backup-simplify]: Simplify lambda2 into lambda2
74.026 * [backup-simplify]: Simplify (log lambda2) into (log lambda2)
74.026 * [backup-simplify]: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2))
74.026 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) into (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))
74.026 * [backup-simplify]: Simplify (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) into (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))
74.026 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))
74.026 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) in phi2
74.026 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) in phi2
74.026 * [taylor]: Taking taylor expansion of 1/3 in phi2
74.027 * [backup-simplify]: Simplify 1/3 into 1/3
74.027 * [taylor]: Taking taylor expansion of (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) in phi2
74.027 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2
74.027 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
74.027 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
74.027 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2
74.027 * [taylor]: Taking taylor expansion of 1/2 in phi2
74.027 * [backup-simplify]: Simplify 1/2 into 1/2
74.027 * [taylor]: Taking taylor expansion of phi2 in phi2
74.027 * [backup-simplify]: Simplify 0 into 0
74.027 * [backup-simplify]: Simplify 1 into 1
74.027 * [backup-simplify]: Simplify (* 1/2 0) into 0
74.028 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
74.028 * [backup-simplify]: Simplify (* 1 1) into 1
74.029 * [backup-simplify]: Simplify (log 1) into 0
74.029 * [taylor]: Taking taylor expansion of (* 2 (log lambda2)) in phi2
74.029 * [taylor]: Taking taylor expansion of 2 in phi2
74.029 * [backup-simplify]: Simplify 2 into 2
74.029 * [taylor]: Taking taylor expansion of (log lambda2) in phi2
74.029 * [taylor]: Taking taylor expansion of lambda2 in phi2
74.029 * [backup-simplify]: Simplify lambda2 into lambda2
74.029 * [backup-simplify]: Simplify (log lambda2) into (log lambda2)
74.029 * [backup-simplify]: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2))
74.029 * [backup-simplify]: Simplify (+ 0 (* 2 (log lambda2))) into (* 2 (log lambda2))
74.029 * [backup-simplify]: Simplify (* 1/3 (* 2 (log lambda2))) into (* 2/3 (log lambda2))
74.029 * [backup-simplify]: Simplify (exp (* 2/3 (log lambda2))) into (pow lambda2 2/3)
74.029 * [backup-simplify]: Simplify (pow lambda2 2/3) into (pow lambda2 2/3)
74.030 * [backup-simplify]: Simplify (+ 0) into 0
74.030 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
74.031 * [backup-simplify]: Simplify (+ 0 0) into 0
74.031 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0
74.032 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
74.033 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
74.033 * [backup-simplify]: Simplify (- 0) into 0
74.033 * [backup-simplify]: Simplify (+ 0 0) into 0
74.034 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0
74.034 * [backup-simplify]: Simplify (- 0) into 0
74.034 * [backup-simplify]: Simplify (+ 1 0) into 1
74.034 * [backup-simplify]: Simplify (+ (* (- lambda2) 1) (* 1 (- lambda2))) into (- (* 2 lambda2))
74.035 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (* (- (* 2 lambda2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
74.035 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 1)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)))) 1) into (/ -2 lambda2)
74.036 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2/3 (/ 1 lambda2)))
74.036 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3))
74.036 * [taylor]: Taking taylor expansion of (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3)) in lambda2
74.036 * [taylor]: Taking taylor expansion of -2/3 in lambda2
74.037 * [backup-simplify]: Simplify -2/3 into -2/3
74.037 * [taylor]: Taking taylor expansion of (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3) in lambda2
74.037 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)))) in lambda2
74.037 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) in lambda2
74.037 * [taylor]: Taking taylor expansion of 1/3 in lambda2
74.037 * [backup-simplify]: Simplify 1/3 into 1/3
74.037 * [taylor]: Taking taylor expansion of (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)) in lambda2
74.037 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) in lambda2
74.037 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
74.037 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
74.037 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
74.037 * [taylor]: Taking taylor expansion of 1/2 in lambda2
74.037 * [backup-simplify]: Simplify 1/2 into 1/2
74.037 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2
74.037 * [taylor]: Taking taylor expansion of phi1 in lambda2
74.037 * [backup-simplify]: Simplify phi1 into phi1
74.037 * [taylor]: Taking taylor expansion of phi2 in lambda2
74.037 * [backup-simplify]: Simplify phi2 into phi2
74.037 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
74.037 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
74.037 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
74.037 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
74.037 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
74.038 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
74.038 * [backup-simplify]: Simplify (- 0) into 0
74.038 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
74.038 * [taylor]: Taking taylor expansion of lambda2 in lambda2
74.038 * [backup-simplify]: Simplify 0 into 0
74.038 * [backup-simplify]: Simplify 1 into 1
74.039 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
74.039 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
74.039 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))
74.039 * [backup-simplify]: Simplify (+ (* (- 1) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))
74.040 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))
74.040 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))
74.040 * [backup-simplify]: Simplify (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) into (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))))
74.040 * [taylor]: Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) in phi1
74.040 * [taylor]: Taking taylor expansion of -2/3 in phi1
74.040 * [backup-simplify]: Simplify -2/3 into -2/3
74.040 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) in phi1
74.040 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) in phi1
74.040 * [taylor]: Taking taylor expansion of 1/3 in phi1
74.040 * [backup-simplify]: Simplify 1/3 into 1/3
74.040 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)) in phi1
74.040 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1
74.040 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1
74.040 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1
74.040 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1
74.040 * [taylor]: Taking taylor expansion of 1/2 in phi1
74.040 * [backup-simplify]: Simplify 1/2 into 1/2
74.040 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1
74.040 * [taylor]: Taking taylor expansion of phi1 in phi1
74.041 * [backup-simplify]: Simplify 0 into 0
74.041 * [backup-simplify]: Simplify 1 into 1
74.041 * [taylor]: Taking taylor expansion of phi2 in phi1
74.041 * [backup-simplify]: Simplify phi2 into phi2
74.041 * [backup-simplify]: Simplify (+ 0 phi2) into phi2
74.041 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2)
74.041 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
74.041 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
74.041 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
74.041 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0
74.041 * [backup-simplify]: Simplify (- 0) into 0
74.041 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
74.042 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2)
74.042 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2))
74.042 * [taylor]: Taking taylor expansion of (log lambda2) in phi1
74.042 * [taylor]: Taking taylor expansion of lambda2 in phi1
74.042 * [backup-simplify]: Simplify lambda2 into lambda2
74.042 * [backup-simplify]: Simplify (log lambda2) into (log lambda2)
74.042 * [backup-simplify]: Simplify (- (log lambda2)) into (- (log lambda2))
74.042 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 phi2)) 2)) (- (log lambda2))) into (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))
74.042 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))) into (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))
74.042 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))))
74.043 * [backup-simplify]: Simplify (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))))) into (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))))
74.043 * [taylor]: Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))))) in phi2
74.043 * [taylor]: Taking taylor expansion of -2/3 in phi2
74.043 * [backup-simplify]: Simplify -2/3 into -2/3
74.043 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))) in phi2
74.043 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))) in phi2
74.043 * [taylor]: Taking taylor expansion of 1/3 in phi2
74.043 * [backup-simplify]: Simplify 1/3 into 1/3
74.043 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)) in phi2
74.043 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2
74.043 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
74.043 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
74.043 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2
74.043 * [taylor]: Taking taylor expansion of 1/2 in phi2
74.043 * [backup-simplify]: Simplify 1/2 into 1/2
74.043 * [taylor]: Taking taylor expansion of phi2 in phi2
74.043 * [backup-simplify]: Simplify 0 into 0
74.043 * [backup-simplify]: Simplify 1 into 1
74.043 * [backup-simplify]: Simplify (* 1/2 0) into 0
74.044 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
74.044 * [backup-simplify]: Simplify (* 1 1) into 1
74.045 * [backup-simplify]: Simplify (log 1) into 0
74.045 * [taylor]: Taking taylor expansion of (log lambda2) in phi2
74.045 * [taylor]: Taking taylor expansion of lambda2 in phi2
74.045 * [backup-simplify]: Simplify lambda2 into lambda2
74.045 * [backup-simplify]: Simplify (log lambda2) into (log lambda2)
74.045 * [backup-simplify]: Simplify (- (log lambda2)) into (- (log lambda2))
74.045 * [backup-simplify]: Simplify (+ 0 (- (log lambda2))) into (- (log lambda2))
74.045 * [backup-simplify]: Simplify (* 1/3 (- (log lambda2))) into (* -1/3 (log lambda2))
74.045 * [backup-simplify]: Simplify (exp (* -1/3 (log lambda2))) into (pow lambda2 -1/3)
74.045 * [backup-simplify]: Simplify (* -2/3 (pow lambda2 -1/3)) into (* -2/3 (pow (/ 1 lambda2) 1/3))
74.045 * [backup-simplify]: Simplify (* -2/3 (pow (/ 1 lambda2) 1/3)) into (* -2/3 (pow (/ 1 lambda2) 1/3))
74.046 * [backup-simplify]: Simplify (+ 0) into 0
74.046 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
74.047 * [backup-simplify]: Simplify (+ 0 0) into 0
74.047 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0
74.048 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
74.048 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
74.049 * [backup-simplify]: Simplify (- 0) into 0
74.049 * [backup-simplify]: Simplify (+ 0 0) into 0
74.049 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0
74.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
74.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0
74.051 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1)))) 1) into 0
74.052 * [backup-simplify]: Simplify (+ (* (- -2) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))
74.052 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) into 0
74.053 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow 0 1) 1)))) into 0
74.053 * [taylor]: Taking taylor expansion of 0 in phi1
74.053 * [backup-simplify]: Simplify 0 into 0
74.053 * [taylor]: Taking taylor expansion of 0 in phi2
74.053 * [backup-simplify]: Simplify 0 into 0
74.054 * [backup-simplify]: Simplify 0 into 0
74.054 * [backup-simplify]: Simplify (+ 0) into 0
74.054 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0
74.055 * [backup-simplify]: Simplify (+ 1 0) into 1
74.055 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2
74.056 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
74.057 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2)))
74.057 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2))))
74.057 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2))))
74.057 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))))
74.058 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))))) 1)) (pow (pow (cos (* 1/2 phi2)) 2) 1)))) 1) into (* -1 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))
74.059 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0
74.060 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0
74.060 * [backup-simplify]: Simplify (+ (* -1 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) 0) into (- (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))
74.060 * [backup-simplify]: Simplify (+ (* 1/3 (- (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))) (* 0 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) into (- (* 1/3 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))))
74.061 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow (- (* 1/3 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))) 1) 1)))) into (* -1/3 (/ (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) (cos (* 1/2 phi2))))
74.061 * [taylor]: Taking taylor expansion of (* -1/3 (/ (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) (cos (* 1/2 phi2)))) in phi2
74.061 * [taylor]: Taking taylor expansion of -1/3 in phi2
74.061 * [backup-simplify]: Simplify -1/3 into -1/3
74.061 * [taylor]: Taking taylor expansion of (/ (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) (cos (* 1/2 phi2))) in phi2
74.061 * [taylor]: Taking taylor expansion of (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) in phi2
74.061 * [taylor]: Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
74.061 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2
74.061 * [taylor]: Taking taylor expansion of 1/2 in phi2
74.061 * [backup-simplify]: Simplify 1/2 into 1/2
74.061 * [taylor]: Taking taylor expansion of phi2 in phi2
74.061 * [backup-simplify]: Simplify 0 into 0
74.061 * [backup-simplify]: Simplify 1 into 1
74.061 * [backup-simplify]: Simplify (* 1/2 0) into 0
74.062 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
74.062 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) in phi2
74.062 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) in phi2
74.062 * [taylor]: Taking taylor expansion of 1/3 in phi2
74.062 * [backup-simplify]: Simplify 1/3 into 1/3
74.062 * [taylor]: Taking taylor expansion of (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) in phi2
74.062 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2
74.063 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
74.063 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
74.063 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2
74.063 * [taylor]: Taking taylor expansion of 1/2 in phi2
74.063 * [backup-simplify]: Simplify 1/2 into 1/2
74.063 * [taylor]: Taking taylor expansion of phi2 in phi2
74.063 * [backup-simplify]: Simplify 0 into 0
74.063 * [backup-simplify]: Simplify 1 into 1
74.063 * [backup-simplify]: Simplify (* 1/2 0) into 0
74.064 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
74.064 * [backup-simplify]: Simplify (* 1 1) into 1
74.065 * [backup-simplify]: Simplify (log 1) into 0
74.065 * [taylor]: Taking taylor expansion of (* 2 (log lambda2)) in phi2
74.065 * [taylor]: Taking taylor expansion of 2 in phi2
74.065 * [backup-simplify]: Simplify 2 into 2
74.065 * [taylor]: Taking taylor expansion of (log lambda2) in phi2
74.065 * [taylor]: Taking taylor expansion of lambda2 in phi2
74.065 * [backup-simplify]: Simplify lambda2 into lambda2
74.065 * [backup-simplify]: Simplify (log lambda2) into (log lambda2)
74.065 * [backup-simplify]: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2))
74.065 * [backup-simplify]: Simplify (+ 0 (* 2 (log lambda2))) into (* 2 (log lambda2))
74.065 * [backup-simplify]: Simplify (* 1/3 (* 2 (log lambda2))) into (* 2/3 (log lambda2))
74.065 * [backup-simplify]: Simplify (exp (* 2/3 (log lambda2))) into (pow lambda2 2/3)
74.065 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
74.065 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2
74.065 * [taylor]: Taking taylor expansion of 1/2 in phi2
74.065 * [backup-simplify]: Simplify 1/2 into 1/2
74.065 * [taylor]: Taking taylor expansion of phi2 in phi2
74.065 * [backup-simplify]: Simplify 0 into 0
74.065 * [backup-simplify]: Simplify 1 into 1
74.066 * [backup-simplify]: Simplify (* 1/2 0) into 0
74.067 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
74.067 * [backup-simplify]: Simplify (* 0 (pow lambda2 2/3)) into 0
74.067 * [backup-simplify]: Simplify (+ 0) into 0
74.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
74.071 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
74.072 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0
74.073 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0
74.073 * [backup-simplify]: Simplify (+ 0 0) into 0
74.074 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log lambda2)))) into 0
74.074 * [backup-simplify]: Simplify (* (exp (* 2/3 (log lambda2))) (+ (* (/ (pow 0 1) 1)))) into 0
74.075 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
74.076 * [backup-simplify]: Simplify (+ (* 0 0) (* 1/2 (pow lambda2 2/3))) into (* 1/2 (pow (pow lambda2 2) 1/3))
74.076 * [backup-simplify]: Simplify (/ (* 1/2 (pow (pow lambda2 2) 1/3)) 1) into (* 1/2 (pow (pow lambda2 2) 1/3))
74.076 * [backup-simplify]: Simplify (+ 0) into 0
74.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
74.078 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
74.079 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0
74.080 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0
74.080 * [backup-simplify]: Simplify (+ 0 0) into 0
74.080 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log lambda2)))) into 0
74.081 * [backup-simplify]: Simplify (* (exp (* 2/3 (log lambda2))) (+ (* (/ (pow 0 1) 1)))) into 0
74.081 * [backup-simplify]: Simplify 0 into 0
74.082 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
74.083 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0
74.084 * [backup-simplify]: Simplify (+ 0 0) into 0
74.085 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0
74.085 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
74.086 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0
74.086 * [backup-simplify]: Simplify (- 0) into 0
74.087 * [backup-simplify]: Simplify (+ 0 0) into 0
74.087 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0
74.088 * [backup-simplify]: Simplify (- 0) into 0
74.088 * [backup-simplify]: Simplify (+ 0 0) into 0
74.088 * [backup-simplify]: Simplify (+ (* (- lambda2) 0) (+ (* 1 1) (* 0 (- lambda2)))) into 1
74.089 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (+ (* (- (* 2 lambda2)) 0) (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
74.090 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 2)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)))) 2) into (/ -1 (pow lambda2 2))
74.090 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))))) into (- (* 1/3 (/ 1 (pow lambda2 2))))
74.091 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3))
74.091 * [taylor]: Taking taylor expansion of (* -1/9 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3)) in lambda2
74.091 * [taylor]: Taking taylor expansion of -1/9 in lambda2
74.091 * [backup-simplify]: Simplify -1/9 into -1/9
74.091 * [taylor]: Taking taylor expansion of (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3) in lambda2
74.091 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4))))) in lambda2
74.091 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)))) in lambda2
74.091 * [taylor]: Taking taylor expansion of 1/3 in lambda2
74.091 * [backup-simplify]: Simplify 1/3 into 1/3
74.091 * [taylor]: Taking taylor expansion of (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4))) in lambda2
74.091 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) in lambda2
74.091 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
74.091 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
74.091 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
74.091 * [taylor]: Taking taylor expansion of 1/2 in lambda2
74.091 * [backup-simplify]: Simplify 1/2 into 1/2
74.091 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2
74.091 * [taylor]: Taking taylor expansion of phi1 in lambda2
74.091 * [backup-simplify]: Simplify phi1 into phi1
74.092 * [taylor]: Taking taylor expansion of phi2 in lambda2
74.092 * [backup-simplify]: Simplify phi2 into phi2
74.092 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
74.092 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
74.092 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
74.092 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
74.092 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
74.092 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
74.092 * [backup-simplify]: Simplify (- 0) into 0
74.093 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
74.093 * [taylor]: Taking taylor expansion of (pow lambda2 4) in lambda2
74.093 * [taylor]: Taking taylor expansion of lambda2 in lambda2
74.093 * [backup-simplify]: Simplify 0 into 0
74.093 * [backup-simplify]: Simplify 1 into 1
74.093 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
74.093 * [backup-simplify]: Simplify (* 1 1) into 1
74.094 * [backup-simplify]: Simplify (* 1 1) into 1
74.094 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
74.094 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))
74.095 * [backup-simplify]: Simplify (+ (* (- 4) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))
74.095 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))
74.095 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))
74.095 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) into (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))))
74.095 * [taylor]: Taking taylor expansion of (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) in phi1
74.095 * [taylor]: Taking taylor expansion of -1/9 in phi1
74.095 * [backup-simplify]: Simplify -1/9 into -1/9
74.095 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) in phi1
74.095 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) in phi1
74.096 * [taylor]: Taking taylor expansion of 1/3 in phi1
74.096 * [backup-simplify]: Simplify 1/3 into 1/3
74.096 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))) in phi1
74.096 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1
74.096 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1
74.096 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1
74.096 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1
74.096 * [taylor]: Taking taylor expansion of 1/2 in phi1
74.096 * [backup-simplify]: Simplify 1/2 into 1/2
74.096 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1
74.096 * [taylor]: Taking taylor expansion of phi1 in phi1
74.096 * [backup-simplify]: Simplify 0 into 0
74.096 * [backup-simplify]: Simplify 1 into 1
74.096 * [taylor]: Taking taylor expansion of phi2 in phi1
74.096 * [backup-simplify]: Simplify phi2 into phi2
74.096 * [backup-simplify]: Simplify (+ 0 phi2) into phi2
74.096 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2)
74.096 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
74.096 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
74.096 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
74.096 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0
74.097 * [backup-simplify]: Simplify (- 0) into 0
74.097 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
74.097 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2)
74.097 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2))
74.097 * [taylor]: Taking taylor expansion of (* 4 (log lambda2)) in phi1
74.097 * [taylor]: Taking taylor expansion of 4 in phi1
74.098 * [backup-simplify]: Simplify 4 into 4
74.098 * [taylor]: Taking taylor expansion of (log lambda2) in phi1
74.098 * [taylor]: Taking taylor expansion of lambda2 in phi1
74.098 * [backup-simplify]: Simplify lambda2 into lambda2
74.098 * [backup-simplify]: Simplify (log lambda2) into (log lambda2)
74.098 * [backup-simplify]: Simplify (* 4 (log lambda2)) into (* 4 (log lambda2))
74.098 * [backup-simplify]: Simplify (- (* 4 (log lambda2))) into (- (* 4 (log lambda2)))
74.098 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 phi2)) 2)) (- (* 4 (log lambda2)))) into (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))
74.098 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))
74.098 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))))
74.099 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))))) into (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))))
74.099 * [taylor]: Taking taylor expansion of (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))))) in phi2
74.099 * [taylor]: Taking taylor expansion of -1/9 in phi2
74.099 * [backup-simplify]: Simplify -1/9 into -1/9
74.099 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))) in phi2
74.099 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))) in phi2
74.099 * [taylor]: Taking taylor expansion of 1/3 in phi2
74.099 * [backup-simplify]: Simplify 1/3 into 1/3
74.099 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))) in phi2
74.099 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2
74.099 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
74.099 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
74.099 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2
74.099 * [taylor]: Taking taylor expansion of 1/2 in phi2
74.099 * [backup-simplify]: Simplify 1/2 into 1/2
74.099 * [taylor]: Taking taylor expansion of phi2 in phi2
74.099 * [backup-simplify]: Simplify 0 into 0
74.099 * [backup-simplify]: Simplify 1 into 1
74.100 * [backup-simplify]: Simplify (* 1/2 0) into 0
74.100 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
74.101 * [backup-simplify]: Simplify (* 1 1) into 1
74.101 * [backup-simplify]: Simplify (log 1) into 0
74.101 * [taylor]: Taking taylor expansion of (* 4 (log lambda2)) in phi2
74.101 * [taylor]: Taking taylor expansion of 4 in phi2
74.101 * [backup-simplify]: Simplify 4 into 4
74.101 * [taylor]: Taking taylor expansion of (log lambda2) in phi2
74.101 * [taylor]: Taking taylor expansion of lambda2 in phi2
74.101 * [backup-simplify]: Simplify lambda2 into lambda2
74.101 * [backup-simplify]: Simplify (log lambda2) into (log lambda2)
74.101 * [backup-simplify]: Simplify (* 4 (log lambda2)) into (* 4 (log lambda2))
74.102 * [backup-simplify]: Simplify (- (* 4 (log lambda2))) into (- (* 4 (log lambda2)))
74.102 * [backup-simplify]: Simplify (+ 0 (- (* 4 (log lambda2)))) into (- (* 4 (log lambda2)))
74.102 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log lambda2)))) into (* -4/3 (log lambda2))
74.102 * [backup-simplify]: Simplify (exp (* -4/3 (log lambda2))) into (pow lambda2 -4/3)
74.102 * [backup-simplify]: Simplify (* -1/9 (pow lambda2 -4/3)) into (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3))
74.102 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) into (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3))
74.103 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) (pow (* 1 (* 1 (* 1 lambda1))) 2)) (+ (* (* -2/3 (pow (/ 1 lambda2) 1/3)) (* 1 (* 1 (* 1 lambda1)))) (pow lambda2 2/3))) into (- (pow lambda2 2/3) (+ (* 2/3 (* (pow (/ 1 lambda2) 1/3) lambda1)) (* 1/9 (* (pow (/ 1 (pow lambda2 4)) 1/3) (pow lambda1 2)))))
74.103 * [backup-simplify]: Simplify (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3)
74.103 * [approximate]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in (lambda1 lambda2 phi1 phi2) around 0
74.103 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in phi2
74.104 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in phi2
74.104 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in phi2
74.104 * [taylor]: Taking taylor expansion of 1/3 in phi2
74.104 * [backup-simplify]: Simplify 1/3 into 1/3
74.104 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in phi2
74.104 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in phi2
74.104 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
74.104 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
74.104 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
74.104 * [taylor]: Taking taylor expansion of 1/2 in phi2
74.104 * [backup-simplify]: Simplify 1/2 into 1/2
74.104 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
74.104 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
74.104 * [taylor]: Taking taylor expansion of phi1 in phi2
74.104 * [backup-simplify]: Simplify phi1 into phi1
74.104 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.104 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
74.104 * [taylor]: Taking taylor expansion of phi2 in phi2
74.104 * [backup-simplify]: Simplify 0 into 0
74.104 * [backup-simplify]: Simplify 1 into 1
74.104 * [backup-simplify]: Simplify (/ 1 1) into 1
74.105 * [backup-simplify]: Simplify (+ 0 1) into 1
74.105 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
74.105 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.106 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in phi2
74.106 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2
74.106 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2
74.106 * [taylor]: Taking taylor expansion of lambda1 in phi2
74.106 * [backup-simplify]: Simplify lambda1 into lambda1
74.106 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
74.106 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2
74.106 * [taylor]: Taking taylor expansion of lambda2 in phi2
74.106 * [backup-simplify]: Simplify lambda2 into lambda2
74.106 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
74.106 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
74.106 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
74.106 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.106 * [backup-simplify]: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (- (/ 1 lambda1) (/ 1 lambda2))) into (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)
74.107 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))
74.107 * [backup-simplify]: Simplify (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))
74.107 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))
74.108 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3)
74.108 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in phi1
74.108 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in phi1
74.108 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in phi1
74.108 * [taylor]: Taking taylor expansion of 1/3 in phi1
74.108 * [backup-simplify]: Simplify 1/3 into 1/3
74.108 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in phi1
74.108 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in phi1
74.108 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
74.108 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
74.108 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
74.108 * [taylor]: Taking taylor expansion of 1/2 in phi1
74.108 * [backup-simplify]: Simplify 1/2 into 1/2
74.108 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
74.108 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
74.108 * [taylor]: Taking taylor expansion of phi1 in phi1
74.108 * [backup-simplify]: Simplify 0 into 0
74.108 * [backup-simplify]: Simplify 1 into 1
74.109 * [backup-simplify]: Simplify (/ 1 1) into 1
74.109 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
74.109 * [taylor]: Taking taylor expansion of phi2 in phi1
74.109 * [backup-simplify]: Simplify phi2 into phi2
74.109 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.109 * [backup-simplify]: Simplify (+ 1 0) into 1
74.110 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
74.110 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.110 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in phi1
74.110 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1
74.110 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1
74.110 * [taylor]: Taking taylor expansion of lambda1 in phi1
74.110 * [backup-simplify]: Simplify lambda1 into lambda1
74.110 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
74.110 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1
74.110 * [taylor]: Taking taylor expansion of lambda2 in phi1
74.110 * [backup-simplify]: Simplify lambda2 into lambda2
74.110 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
74.110 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
74.110 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
74.111 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.111 * [backup-simplify]: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (- (/ 1 lambda1) (/ 1 lambda2))) into (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)
74.111 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))
74.111 * [backup-simplify]: Simplify (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))
74.112 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))
74.112 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3)
74.112 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in lambda2
74.112 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in lambda2
74.112 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in lambda2
74.112 * [taylor]: Taking taylor expansion of 1/3 in lambda2
74.112 * [backup-simplify]: Simplify 1/3 into 1/3
74.112 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in lambda2
74.112 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda2
74.112 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
74.112 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
74.113 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
74.113 * [taylor]: Taking taylor expansion of 1/2 in lambda2
74.113 * [backup-simplify]: Simplify 1/2 into 1/2
74.113 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
74.113 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
74.113 * [taylor]: Taking taylor expansion of phi1 in lambda2
74.113 * [backup-simplify]: Simplify phi1 into phi1
74.113 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.113 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
74.113 * [taylor]: Taking taylor expansion of phi2 in lambda2
74.113 * [backup-simplify]: Simplify phi2 into phi2
74.113 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.113 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
74.113 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
74.113 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.113 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.113 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.114 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
74.114 * [backup-simplify]: Simplify (- 0) into 0
74.114 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.114 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda2
74.114 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
74.114 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
74.114 * [taylor]: Taking taylor expansion of lambda1 in lambda2
74.114 * [backup-simplify]: Simplify lambda1 into lambda1
74.115 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
74.115 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
74.115 * [taylor]: Taking taylor expansion of lambda2 in lambda2
74.115 * [backup-simplify]: Simplify 0 into 0
74.115 * [backup-simplify]: Simplify 1 into 1
74.115 * [backup-simplify]: Simplify (/ 1 1) into 1
74.115 * [backup-simplify]: Simplify (- 1) into -1
74.116 * [backup-simplify]: Simplify (+ 0 -1) into -1
74.116 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.116 * [backup-simplify]: Simplify (* -1 -1) into 1
74.117 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.117 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.117 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))
74.118 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))
74.118 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))))
74.118 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in lambda1
74.118 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in lambda1
74.118 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in lambda1
74.118 * [taylor]: Taking taylor expansion of 1/3 in lambda1
74.118 * [backup-simplify]: Simplify 1/3 into 1/3
74.118 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in lambda1
74.118 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1
74.118 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
74.118 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
74.118 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
74.118 * [taylor]: Taking taylor expansion of 1/2 in lambda1
74.118 * [backup-simplify]: Simplify 1/2 into 1/2
74.118 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
74.118 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
74.119 * [taylor]: Taking taylor expansion of phi1 in lambda1
74.119 * [backup-simplify]: Simplify phi1 into phi1
74.119 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.119 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
74.119 * [taylor]: Taking taylor expansion of phi2 in lambda1
74.119 * [backup-simplify]: Simplify phi2 into phi2
74.119 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.119 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
74.119 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
74.119 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.119 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.119 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.120 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
74.120 * [backup-simplify]: Simplify (- 0) into 0
74.120 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.120 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda1
74.120 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
74.120 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
74.120 * [taylor]: Taking taylor expansion of lambda1 in lambda1
74.120 * [backup-simplify]: Simplify 0 into 0
74.120 * [backup-simplify]: Simplify 1 into 1
74.121 * [backup-simplify]: Simplify (/ 1 1) into 1
74.121 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
74.121 * [taylor]: Taking taylor expansion of lambda2 in lambda1
74.121 * [backup-simplify]: Simplify lambda2 into lambda2
74.121 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
74.121 * [backup-simplify]: Simplify (+ 1 0) into 1
74.122 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.122 * [backup-simplify]: Simplify (* 1 1) into 1
74.122 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.123 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.123 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.123 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.124 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.124 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in lambda1
74.124 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in lambda1
74.124 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in lambda1
74.124 * [taylor]: Taking taylor expansion of 1/3 in lambda1
74.124 * [backup-simplify]: Simplify 1/3 into 1/3
74.124 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in lambda1
74.124 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1
74.124 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
74.124 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
74.124 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
74.124 * [taylor]: Taking taylor expansion of 1/2 in lambda1
74.124 * [backup-simplify]: Simplify 1/2 into 1/2
74.124 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
74.124 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
74.124 * [taylor]: Taking taylor expansion of phi1 in lambda1
74.124 * [backup-simplify]: Simplify phi1 into phi1
74.124 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.124 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
74.124 * [taylor]: Taking taylor expansion of phi2 in lambda1
74.124 * [backup-simplify]: Simplify phi2 into phi2
74.124 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.125 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
74.125 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
74.125 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.125 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.125 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.125 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
74.126 * [backup-simplify]: Simplify (- 0) into 0
74.126 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.126 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda1
74.126 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
74.126 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
74.126 * [taylor]: Taking taylor expansion of lambda1 in lambda1
74.126 * [backup-simplify]: Simplify 0 into 0
74.126 * [backup-simplify]: Simplify 1 into 1
74.126 * [backup-simplify]: Simplify (/ 1 1) into 1
74.127 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
74.127 * [taylor]: Taking taylor expansion of lambda2 in lambda1
74.127 * [backup-simplify]: Simplify lambda2 into lambda2
74.127 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
74.127 * [backup-simplify]: Simplify (+ 1 0) into 1
74.127 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.128 * [backup-simplify]: Simplify (* 1 1) into 1
74.128 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.128 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.129 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.129 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.129 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.130 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2
74.130 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2
74.130 * [taylor]: Taking taylor expansion of 1/3 in lambda2
74.130 * [backup-simplify]: Simplify 1/3 into 1/3
74.130 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2
74.130 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2
74.130 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
74.130 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
74.130 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
74.130 * [taylor]: Taking taylor expansion of 1/2 in lambda2
74.130 * [backup-simplify]: Simplify 1/2 into 1/2
74.130 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
74.130 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
74.130 * [taylor]: Taking taylor expansion of phi1 in lambda2
74.130 * [backup-simplify]: Simplify phi1 into phi1
74.130 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.130 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
74.130 * [taylor]: Taking taylor expansion of phi2 in lambda2
74.130 * [backup-simplify]: Simplify phi2 into phi2
74.130 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.130 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
74.130 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
74.131 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.131 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.131 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.131 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
74.131 * [backup-simplify]: Simplify (- 0) into 0
74.132 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.132 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.132 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.132 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2
74.132 * [taylor]: Taking taylor expansion of 2 in lambda2
74.132 * [backup-simplify]: Simplify 2 into 2
74.132 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2
74.132 * [taylor]: Taking taylor expansion of lambda1 in lambda2
74.132 * [backup-simplify]: Simplify lambda1 into lambda1
74.132 * [backup-simplify]: Simplify (log lambda1) into (log lambda1)
74.132 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
74.132 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
74.133 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.133 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.133 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.133 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1
74.133 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1
74.133 * [taylor]: Taking taylor expansion of 1/3 in phi1
74.133 * [backup-simplify]: Simplify 1/3 into 1/3
74.133 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1
74.133 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1
74.133 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
74.134 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
74.134 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
74.134 * [taylor]: Taking taylor expansion of 1/2 in phi1
74.134 * [backup-simplify]: Simplify 1/2 into 1/2
74.134 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
74.134 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
74.134 * [taylor]: Taking taylor expansion of phi1 in phi1
74.134 * [backup-simplify]: Simplify 0 into 0
74.134 * [backup-simplify]: Simplify 1 into 1
74.134 * [backup-simplify]: Simplify (/ 1 1) into 1
74.134 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
74.134 * [taylor]: Taking taylor expansion of phi2 in phi1
74.134 * [backup-simplify]: Simplify phi2 into phi2
74.134 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.135 * [backup-simplify]: Simplify (+ 1 0) into 1
74.135 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
74.135 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.136 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.136 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.136 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1
74.136 * [taylor]: Taking taylor expansion of 2 in phi1
74.136 * [backup-simplify]: Simplify 2 into 2
74.136 * [taylor]: Taking taylor expansion of (log lambda1) in phi1
74.136 * [taylor]: Taking taylor expansion of lambda1 in phi1
74.136 * [backup-simplify]: Simplify lambda1 into lambda1
74.136 * [backup-simplify]: Simplify (log lambda1) into (log lambda1)
74.136 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
74.136 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
74.136 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.137 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.137 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.137 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2
74.137 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2
74.137 * [taylor]: Taking taylor expansion of 1/3 in phi2
74.137 * [backup-simplify]: Simplify 1/3 into 1/3
74.137 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2
74.137 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2
74.137 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
74.137 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
74.137 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
74.137 * [taylor]: Taking taylor expansion of 1/2 in phi2
74.137 * [backup-simplify]: Simplify 1/2 into 1/2
74.137 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
74.137 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
74.137 * [taylor]: Taking taylor expansion of phi1 in phi2
74.138 * [backup-simplify]: Simplify phi1 into phi1
74.138 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.138 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
74.138 * [taylor]: Taking taylor expansion of phi2 in phi2
74.138 * [backup-simplify]: Simplify 0 into 0
74.138 * [backup-simplify]: Simplify 1 into 1
74.138 * [backup-simplify]: Simplify (/ 1 1) into 1
74.139 * [backup-simplify]: Simplify (+ 0 1) into 1
74.139 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
74.139 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.140 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.140 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.140 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi2
74.140 * [taylor]: Taking taylor expansion of 2 in phi2
74.140 * [backup-simplify]: Simplify 2 into 2
74.140 * [taylor]: Taking taylor expansion of (log lambda1) in phi2
74.140 * [taylor]: Taking taylor expansion of lambda1 in phi2
74.140 * [backup-simplify]: Simplify lambda1 into lambda1
74.140 * [backup-simplify]: Simplify (log lambda1) into (log lambda1)
74.140 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
74.140 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
74.140 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.141 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.141 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.141 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
74.142 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
74.143 * [backup-simplify]: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2))
74.143 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 lambda2))) (* (- (/ 1 lambda2)) 1)) into (- (* 2 (/ 1 lambda2)))
74.143 * [backup-simplify]: Simplify (+ 0) into 0
74.144 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
74.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
74.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
74.144 * [backup-simplify]: Simplify (+ 0 0) into 0
74.145 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
74.146 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
74.146 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
74.146 * [backup-simplify]: Simplify (- 0) into 0
74.147 * [backup-simplify]: Simplify (+ 0 0) into 0
74.147 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
74.148 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (- (* 2 (/ 1 lambda2)))) (* 0 1)) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
74.149 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2)
74.149 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.150 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2)))
74.150 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2))
74.150 * [taylor]: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2
74.150 * [taylor]: Taking taylor expansion of -2/3 in lambda2
74.150 * [backup-simplify]: Simplify -2/3 into -2/3
74.150 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2
74.150 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2
74.150 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2
74.150 * [taylor]: Taking taylor expansion of 1/3 in lambda2
74.150 * [backup-simplify]: Simplify 1/3 into 1/3
74.150 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2
74.150 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2
74.150 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
74.150 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
74.150 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
74.150 * [taylor]: Taking taylor expansion of 1/2 in lambda2
74.150 * [backup-simplify]: Simplify 1/2 into 1/2
74.150 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
74.150 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
74.150 * [taylor]: Taking taylor expansion of phi1 in lambda2
74.150 * [backup-simplify]: Simplify phi1 into phi1
74.150 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.150 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
74.150 * [taylor]: Taking taylor expansion of phi2 in lambda2
74.150 * [backup-simplify]: Simplify phi2 into phi2
74.150 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.150 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
74.150 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
74.151 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.151 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.151 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.151 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
74.151 * [backup-simplify]: Simplify (- 0) into 0
74.151 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.151 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.151 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.151 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2
74.151 * [taylor]: Taking taylor expansion of 2 in lambda2
74.151 * [backup-simplify]: Simplify 2 into 2
74.151 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2
74.151 * [taylor]: Taking taylor expansion of lambda1 in lambda2
74.152 * [backup-simplify]: Simplify lambda1 into lambda1
74.152 * [backup-simplify]: Simplify (log lambda1) into (log lambda1)
74.152 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
74.152 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
74.152 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.152 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.152 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.152 * [taylor]: Taking taylor expansion of lambda2 in lambda2
74.152 * [backup-simplify]: Simplify 0 into 0
74.152 * [backup-simplify]: Simplify 1 into 1
74.152 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.153 * [backup-simplify]: Simplify (+ 0) into 0
74.153 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
74.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
74.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
74.153 * [backup-simplify]: Simplify (+ 0 0) into 0
74.154 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
74.154 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
74.154 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
74.155 * [backup-simplify]: Simplify (- 0) into 0
74.155 * [backup-simplify]: Simplify (+ 0 0) into 0
74.155 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
74.156 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
74.156 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
74.156 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
74.157 * [backup-simplify]: Simplify (- 0) into 0
74.157 * [backup-simplify]: Simplify (+ 0 0) into 0
74.158 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
74.158 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
74.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0
74.159 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into 0
74.159 * [taylor]: Taking taylor expansion of 0 in phi1
74.159 * [backup-simplify]: Simplify 0 into 0
74.160 * [taylor]: Taking taylor expansion of 0 in phi2
74.160 * [backup-simplify]: Simplify 0 into 0
74.160 * [backup-simplify]: Simplify 0 into 0
74.160 * [backup-simplify]: Simplify (+ 0) into 0
74.160 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
74.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
74.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
74.161 * [backup-simplify]: Simplify (+ 0 0) into 0
74.161 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
74.162 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
74.162 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
74.162 * [backup-simplify]: Simplify (- 0) into 0
74.162 * [backup-simplify]: Simplify (+ 0 0) into 0
74.163 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
74.163 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
74.164 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
74.164 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
74.164 * [backup-simplify]: Simplify (- 0) into 0
74.164 * [backup-simplify]: Simplify (+ 0 0) into 0
74.165 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
74.165 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
74.165 * [taylor]: Taking taylor expansion of 0 in phi1
74.165 * [backup-simplify]: Simplify 0 into 0
74.165 * [taylor]: Taking taylor expansion of 0 in phi2
74.165 * [backup-simplify]: Simplify 0 into 0
74.165 * [backup-simplify]: Simplify 0 into 0
74.166 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
74.166 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
74.167 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
74.167 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
74.167 * [backup-simplify]: Simplify (- 0) into 0
74.167 * [backup-simplify]: Simplify (+ 0 0) into 0
74.168 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
74.169 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
74.169 * [taylor]: Taking taylor expansion of 0 in phi2
74.169 * [backup-simplify]: Simplify 0 into 0
74.169 * [backup-simplify]: Simplify 0 into 0
74.169 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
74.169 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
74.170 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
74.170 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
74.170 * [backup-simplify]: Simplify (- 0) into 0
74.171 * [backup-simplify]: Simplify (+ 0 0) into 0
74.171 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
74.172 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
74.172 * [backup-simplify]: Simplify 0 into 0
74.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
74.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
74.173 * [backup-simplify]: Simplify (- 0) into 0
74.173 * [backup-simplify]: Simplify (+ 0 0) into 0
74.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) (- (/ 1 lambda2))) (* 0 1))) into (/ 1 (pow lambda2 2))
74.174 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
74.174 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
74.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
74.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
74.175 * [backup-simplify]: Simplify (+ 0 0) into 0
74.175 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
74.176 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
74.176 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
74.177 * [backup-simplify]: Simplify (- 0) into 0
74.177 * [backup-simplify]: Simplify (+ 0 0) into 0
74.177 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
74.178 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 1 (pow lambda2 2))) (+ (* 0 (- (* 2 (/ 1 lambda2)))) (* 0 1))) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
74.178 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2))
74.179 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.179 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2))))
74.179 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)))
74.179 * [taylor]: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) in lambda2
74.179 * [taylor]: Taking taylor expansion of -1/9 in lambda2
74.179 * [backup-simplify]: Simplify -1/9 into -1/9
74.179 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)) in lambda2
74.180 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2
74.180 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2
74.180 * [taylor]: Taking taylor expansion of 1/3 in lambda2
74.180 * [backup-simplify]: Simplify 1/3 into 1/3
74.180 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2
74.180 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2
74.180 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
74.180 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
74.180 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
74.180 * [taylor]: Taking taylor expansion of 1/2 in lambda2
74.180 * [backup-simplify]: Simplify 1/2 into 1/2
74.180 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
74.180 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
74.180 * [taylor]: Taking taylor expansion of phi1 in lambda2
74.180 * [backup-simplify]: Simplify phi1 into phi1
74.180 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.180 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
74.180 * [taylor]: Taking taylor expansion of phi2 in lambda2
74.180 * [backup-simplify]: Simplify phi2 into phi2
74.180 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.180 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
74.180 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
74.180 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.180 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.180 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.180 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
74.181 * [backup-simplify]: Simplify (- 0) into 0
74.181 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.181 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.181 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.181 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2
74.181 * [taylor]: Taking taylor expansion of 2 in lambda2
74.181 * [backup-simplify]: Simplify 2 into 2
74.181 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2
74.181 * [taylor]: Taking taylor expansion of lambda1 in lambda2
74.181 * [backup-simplify]: Simplify lambda1 into lambda1
74.181 * [backup-simplify]: Simplify (log lambda1) into (log lambda1)
74.181 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
74.181 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
74.181 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.181 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.182 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.182 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2
74.182 * [taylor]: Taking taylor expansion of lambda2 in lambda2
74.182 * [backup-simplify]: Simplify 0 into 0
74.182 * [backup-simplify]: Simplify 1 into 1
74.182 * [backup-simplify]: Simplify (* 1 1) into 1
74.183 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.183 * [backup-simplify]: Simplify (+ 0) into 0
74.183 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
74.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
74.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
74.184 * [backup-simplify]: Simplify (+ 0 0) into 0
74.185 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
74.185 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
74.186 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
74.186 * [backup-simplify]: Simplify (- 0) into 0
74.187 * [backup-simplify]: Simplify (+ 0 0) into 0
74.187 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
74.188 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
74.189 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
74.189 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
74.190 * [backup-simplify]: Simplify (- 0) into 0
74.190 * [backup-simplify]: Simplify (+ 0 0) into 0
74.191 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
74.192 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
74.192 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
74.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
74.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
74.193 * [backup-simplify]: Simplify (+ 0 0) into 0
74.194 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
74.195 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
74.196 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
74.196 * [backup-simplify]: Simplify (- 0) into 0
74.196 * [backup-simplify]: Simplify (+ 0 0) into 0
74.200 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
74.202 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0
74.203 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0
74.204 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0
74.204 * [backup-simplify]: Simplify (- 0) into 0
74.205 * [backup-simplify]: Simplify (+ 0 0) into 0
74.206 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0
74.207 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
74.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
74.209 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
74.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
74.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0
74.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
74.213 * [backup-simplify]: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0
74.213 * [taylor]: Taking taylor expansion of 0 in phi1
74.214 * [backup-simplify]: Simplify 0 into 0
74.214 * [taylor]: Taking taylor expansion of 0 in phi2
74.214 * [backup-simplify]: Simplify 0 into 0
74.214 * [backup-simplify]: Simplify 0 into 0
74.214 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
74.215 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
74.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
74.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
74.216 * [backup-simplify]: Simplify (+ 0 0) into 0
74.217 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
74.217 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
74.218 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
74.218 * [backup-simplify]: Simplify (- 0) into 0
74.219 * [backup-simplify]: Simplify (+ 0 0) into 0
74.219 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
74.221 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0
74.222 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0
74.223 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0
74.223 * [backup-simplify]: Simplify (- 0) into 0
74.224 * [backup-simplify]: Simplify (+ 0 0) into 0
74.225 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0
74.226 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
74.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
74.229 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0
74.229 * [taylor]: Taking taylor expansion of 0 in phi1
74.229 * [backup-simplify]: Simplify 0 into 0
74.229 * [taylor]: Taking taylor expansion of 0 in phi2
74.229 * [backup-simplify]: Simplify 0 into 0
74.229 * [backup-simplify]: Simplify 0 into 0
74.229 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) 2)) (* 2 (log (/ 1 lambda1)))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ 1 lambda1))))))
74.230 * [backup-simplify]: Simplify (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3)
74.230 * [approximate]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in (lambda1 lambda2 phi1 phi2) around 0
74.230 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in phi2
74.230 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in phi2
74.230 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in phi2
74.230 * [taylor]: Taking taylor expansion of 1/3 in phi2
74.230 * [backup-simplify]: Simplify 1/3 into 1/3
74.230 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in phi2
74.230 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in phi2
74.230 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
74.230 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
74.230 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
74.230 * [taylor]: Taking taylor expansion of -1/2 in phi2
74.230 * [backup-simplify]: Simplify -1/2 into -1/2
74.230 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
74.230 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
74.230 * [taylor]: Taking taylor expansion of phi1 in phi2
74.230 * [backup-simplify]: Simplify phi1 into phi1
74.230 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.230 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
74.230 * [taylor]: Taking taylor expansion of phi2 in phi2
74.230 * [backup-simplify]: Simplify 0 into 0
74.230 * [backup-simplify]: Simplify 1 into 1
74.231 * [backup-simplify]: Simplify (/ 1 1) into 1
74.231 * [backup-simplify]: Simplify (+ 0 1) into 1
74.232 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
74.232 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.232 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in phi2
74.232 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2
74.232 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2
74.232 * [taylor]: Taking taylor expansion of lambda2 in phi2
74.232 * [backup-simplify]: Simplify lambda2 into lambda2
74.232 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
74.232 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2
74.232 * [taylor]: Taking taylor expansion of lambda1 in phi2
74.232 * [backup-simplify]: Simplify lambda1 into lambda1
74.232 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
74.232 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1))
74.232 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1))
74.232 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.233 * [backup-simplify]: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (- (/ 1 lambda2) (/ 1 lambda1))) into (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)
74.233 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))
74.233 * [backup-simplify]: Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))
74.233 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))
74.234 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3)
74.234 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in phi1
74.234 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in phi1
74.234 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in phi1
74.234 * [taylor]: Taking taylor expansion of 1/3 in phi1
74.234 * [backup-simplify]: Simplify 1/3 into 1/3
74.234 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in phi1
74.234 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in phi1
74.234 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
74.234 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
74.234 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
74.234 * [taylor]: Taking taylor expansion of -1/2 in phi1
74.234 * [backup-simplify]: Simplify -1/2 into -1/2
74.234 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
74.234 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
74.234 * [taylor]: Taking taylor expansion of phi1 in phi1
74.234 * [backup-simplify]: Simplify 0 into 0
74.234 * [backup-simplify]: Simplify 1 into 1
74.234 * [backup-simplify]: Simplify (/ 1 1) into 1
74.235 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
74.235 * [taylor]: Taking taylor expansion of phi2 in phi1
74.235 * [backup-simplify]: Simplify phi2 into phi2
74.235 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.235 * [backup-simplify]: Simplify (+ 1 0) into 1
74.235 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
74.236 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.236 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in phi1
74.236 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1
74.236 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1
74.236 * [taylor]: Taking taylor expansion of lambda2 in phi1
74.236 * [backup-simplify]: Simplify lambda2 into lambda2
74.236 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
74.236 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1
74.236 * [taylor]: Taking taylor expansion of lambda1 in phi1
74.236 * [backup-simplify]: Simplify lambda1 into lambda1
74.236 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
74.236 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1))
74.236 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1))
74.236 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.236 * [backup-simplify]: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (- (/ 1 lambda2) (/ 1 lambda1))) into (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)
74.237 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))
74.237 * [backup-simplify]: Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))
74.237 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))
74.238 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3)
74.238 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in lambda2
74.238 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in lambda2
74.238 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in lambda2
74.238 * [taylor]: Taking taylor expansion of 1/3 in lambda2
74.238 * [backup-simplify]: Simplify 1/3 into 1/3
74.238 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in lambda2
74.238 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda2
74.238 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
74.238 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
74.238 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
74.238 * [taylor]: Taking taylor expansion of -1/2 in lambda2
74.238 * [backup-simplify]: Simplify -1/2 into -1/2
74.238 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
74.238 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
74.238 * [taylor]: Taking taylor expansion of phi1 in lambda2
74.238 * [backup-simplify]: Simplify phi1 into phi1
74.238 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.238 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
74.238 * [taylor]: Taking taylor expansion of phi2 in lambda2
74.238 * [backup-simplify]: Simplify phi2 into phi2
74.238 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.238 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
74.238 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
74.239 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.239 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.239 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.239 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
74.239 * [backup-simplify]: Simplify (- 0) into 0
74.240 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.240 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda2
74.240 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2
74.240 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
74.240 * [taylor]: Taking taylor expansion of lambda2 in lambda2
74.240 * [backup-simplify]: Simplify 0 into 0
74.240 * [backup-simplify]: Simplify 1 into 1
74.240 * [backup-simplify]: Simplify (/ 1 1) into 1
74.240 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
74.240 * [taylor]: Taking taylor expansion of lambda1 in lambda2
74.240 * [backup-simplify]: Simplify lambda1 into lambda1
74.240 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
74.241 * [backup-simplify]: Simplify (+ 1 0) into 1
74.241 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.241 * [backup-simplify]: Simplify (* 1 1) into 1
74.241 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.242 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.242 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))
74.242 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))
74.243 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))))
74.243 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in lambda1
74.243 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in lambda1
74.243 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in lambda1
74.243 * [taylor]: Taking taylor expansion of 1/3 in lambda1
74.243 * [backup-simplify]: Simplify 1/3 into 1/3
74.243 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in lambda1
74.243 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda1
74.243 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
74.243 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
74.243 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
74.243 * [taylor]: Taking taylor expansion of -1/2 in lambda1
74.243 * [backup-simplify]: Simplify -1/2 into -1/2
74.243 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
74.243 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
74.243 * [taylor]: Taking taylor expansion of phi1 in lambda1
74.243 * [backup-simplify]: Simplify phi1 into phi1
74.243 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.243 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
74.243 * [taylor]: Taking taylor expansion of phi2 in lambda1
74.243 * [backup-simplify]: Simplify phi2 into phi2
74.243 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.243 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
74.243 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
74.244 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.244 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.244 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.244 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
74.244 * [backup-simplify]: Simplify (- 0) into 0
74.245 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.245 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda1
74.245 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1
74.245 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
74.245 * [taylor]: Taking taylor expansion of lambda2 in lambda1
74.245 * [backup-simplify]: Simplify lambda2 into lambda2
74.245 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
74.245 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
74.245 * [taylor]: Taking taylor expansion of lambda1 in lambda1
74.245 * [backup-simplify]: Simplify 0 into 0
74.245 * [backup-simplify]: Simplify 1 into 1
74.245 * [backup-simplify]: Simplify (/ 1 1) into 1
74.246 * [backup-simplify]: Simplify (- 1) into -1
74.246 * [backup-simplify]: Simplify (+ 0 -1) into -1
74.246 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.247 * [backup-simplify]: Simplify (* -1 -1) into 1
74.247 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.247 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.248 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.248 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.248 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.248 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in lambda1
74.248 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in lambda1
74.249 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in lambda1
74.249 * [taylor]: Taking taylor expansion of 1/3 in lambda1
74.249 * [backup-simplify]: Simplify 1/3 into 1/3
74.249 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in lambda1
74.249 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda1
74.249 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
74.249 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
74.249 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
74.249 * [taylor]: Taking taylor expansion of -1/2 in lambda1
74.249 * [backup-simplify]: Simplify -1/2 into -1/2
74.249 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
74.249 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
74.249 * [taylor]: Taking taylor expansion of phi1 in lambda1
74.249 * [backup-simplify]: Simplify phi1 into phi1
74.249 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.249 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
74.249 * [taylor]: Taking taylor expansion of phi2 in lambda1
74.249 * [backup-simplify]: Simplify phi2 into phi2
74.249 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.249 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
74.249 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
74.249 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.250 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.250 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.250 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
74.250 * [backup-simplify]: Simplify (- 0) into 0
74.250 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.250 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda1
74.250 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1
74.250 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
74.250 * [taylor]: Taking taylor expansion of lambda2 in lambda1
74.251 * [backup-simplify]: Simplify lambda2 into lambda2
74.251 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
74.251 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
74.251 * [taylor]: Taking taylor expansion of lambda1 in lambda1
74.251 * [backup-simplify]: Simplify 0 into 0
74.251 * [backup-simplify]: Simplify 1 into 1
74.251 * [backup-simplify]: Simplify (/ 1 1) into 1
74.251 * [backup-simplify]: Simplify (- 1) into -1
74.252 * [backup-simplify]: Simplify (+ 0 -1) into -1
74.252 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.252 * [backup-simplify]: Simplify (* -1 -1) into 1
74.253 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.253 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.253 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.254 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.254 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.254 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2
74.254 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2
74.254 * [taylor]: Taking taylor expansion of 1/3 in lambda2
74.254 * [backup-simplify]: Simplify 1/3 into 1/3
74.254 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2
74.254 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2
74.254 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
74.254 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
74.254 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
74.254 * [taylor]: Taking taylor expansion of -1/2 in lambda2
74.254 * [backup-simplify]: Simplify -1/2 into -1/2
74.254 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
74.254 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
74.254 * [taylor]: Taking taylor expansion of phi1 in lambda2
74.254 * [backup-simplify]: Simplify phi1 into phi1
74.254 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.254 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
74.255 * [taylor]: Taking taylor expansion of phi2 in lambda2
74.255 * [backup-simplify]: Simplify phi2 into phi2
74.255 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.255 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
74.255 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
74.255 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.255 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.255 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.255 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
74.256 * [backup-simplify]: Simplify (- 0) into 0
74.256 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.256 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.256 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.256 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2
74.256 * [taylor]: Taking taylor expansion of 2 in lambda2
74.256 * [backup-simplify]: Simplify 2 into 2
74.257 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2
74.257 * [taylor]: Taking taylor expansion of lambda1 in lambda2
74.257 * [backup-simplify]: Simplify lambda1 into lambda1
74.257 * [backup-simplify]: Simplify (log lambda1) into (log lambda1)
74.257 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
74.257 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
74.257 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.257 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.258 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.258 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1
74.258 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1
74.258 * [taylor]: Taking taylor expansion of 1/3 in phi1
74.258 * [backup-simplify]: Simplify 1/3 into 1/3
74.258 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1
74.258 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1
74.258 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
74.258 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
74.258 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
74.258 * [taylor]: Taking taylor expansion of -1/2 in phi1
74.258 * [backup-simplify]: Simplify -1/2 into -1/2
74.258 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
74.258 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
74.258 * [taylor]: Taking taylor expansion of phi1 in phi1
74.258 * [backup-simplify]: Simplify 0 into 0
74.258 * [backup-simplify]: Simplify 1 into 1
74.258 * [backup-simplify]: Simplify (/ 1 1) into 1
74.258 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
74.258 * [taylor]: Taking taylor expansion of phi2 in phi1
74.259 * [backup-simplify]: Simplify phi2 into phi2
74.259 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.259 * [backup-simplify]: Simplify (+ 1 0) into 1
74.259 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
74.260 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.260 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.260 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.260 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1
74.260 * [taylor]: Taking taylor expansion of 2 in phi1
74.260 * [backup-simplify]: Simplify 2 into 2
74.260 * [taylor]: Taking taylor expansion of (log lambda1) in phi1
74.260 * [taylor]: Taking taylor expansion of lambda1 in phi1
74.260 * [backup-simplify]: Simplify lambda1 into lambda1
74.260 * [backup-simplify]: Simplify (log lambda1) into (log lambda1)
74.260 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
74.260 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
74.260 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.261 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.261 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.261 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2
74.261 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2
74.261 * [taylor]: Taking taylor expansion of 1/3 in phi2
74.261 * [backup-simplify]: Simplify 1/3 into 1/3
74.261 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2
74.261 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2
74.261 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
74.261 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
74.261 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
74.261 * [taylor]: Taking taylor expansion of -1/2 in phi2
74.261 * [backup-simplify]: Simplify -1/2 into -1/2
74.261 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
74.261 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
74.261 * [taylor]: Taking taylor expansion of phi1 in phi2
74.261 * [backup-simplify]: Simplify phi1 into phi1
74.261 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.262 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
74.262 * [taylor]: Taking taylor expansion of phi2 in phi2
74.262 * [backup-simplify]: Simplify 0 into 0
74.262 * [backup-simplify]: Simplify 1 into 1
74.262 * [backup-simplify]: Simplify (/ 1 1) into 1
74.262 * [backup-simplify]: Simplify (+ 0 1) into 1
74.263 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
74.263 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.264 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.264 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.264 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi2
74.264 * [taylor]: Taking taylor expansion of 2 in phi2
74.264 * [backup-simplify]: Simplify 2 into 2
74.264 * [taylor]: Taking taylor expansion of (log lambda1) in phi2
74.264 * [taylor]: Taking taylor expansion of lambda1 in phi2
74.264 * [backup-simplify]: Simplify lambda1 into lambda1
74.264 * [backup-simplify]: Simplify (log lambda1) into (log lambda1)
74.264 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
74.264 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
74.265 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.265 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.265 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.265 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
74.267 * [backup-simplify]: Simplify (- 0) into 0
74.267 * [backup-simplify]: Simplify (+ (/ 1 lambda2) 0) into (/ 1 lambda2)
74.267 * [backup-simplify]: Simplify (+ (* -1 (/ 1 lambda2)) (* (/ 1 lambda2) -1)) into (- (* 2 (/ 1 lambda2)))
74.268 * [backup-simplify]: Simplify (+ 0) into 0
74.268 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
74.269 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
74.269 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
74.269 * [backup-simplify]: Simplify (+ 0 0) into 0
74.270 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
74.270 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
74.271 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
74.271 * [backup-simplify]: Simplify (- 0) into 0
74.272 * [backup-simplify]: Simplify (+ 0 0) into 0
74.272 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
74.273 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (- (* 2 (/ 1 lambda2)))) (* 0 1)) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
74.274 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2)
74.274 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.274 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2)))
74.275 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2))
74.275 * [taylor]: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2
74.275 * [taylor]: Taking taylor expansion of -2/3 in lambda2
74.275 * [backup-simplify]: Simplify -2/3 into -2/3
74.275 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2
74.275 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2
74.275 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2
74.275 * [taylor]: Taking taylor expansion of 1/3 in lambda2
74.275 * [backup-simplify]: Simplify 1/3 into 1/3
74.275 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2
74.275 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2
74.275 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
74.275 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
74.275 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
74.275 * [taylor]: Taking taylor expansion of -1/2 in lambda2
74.275 * [backup-simplify]: Simplify -1/2 into -1/2
74.275 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
74.275 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
74.275 * [taylor]: Taking taylor expansion of phi1 in lambda2
74.276 * [backup-simplify]: Simplify phi1 into phi1
74.276 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.276 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
74.276 * [taylor]: Taking taylor expansion of phi2 in lambda2
74.276 * [backup-simplify]: Simplify phi2 into phi2
74.276 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.276 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
74.276 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
74.276 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.276 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.276 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.277 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
74.277 * [backup-simplify]: Simplify (- 0) into 0
74.277 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.277 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.278 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.278 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2
74.278 * [taylor]: Taking taylor expansion of 2 in lambda2
74.278 * [backup-simplify]: Simplify 2 into 2
74.278 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2
74.278 * [taylor]: Taking taylor expansion of lambda1 in lambda2
74.278 * [backup-simplify]: Simplify lambda1 into lambda1
74.278 * [backup-simplify]: Simplify (log lambda1) into (log lambda1)
74.278 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
74.278 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
74.278 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.278 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.279 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.279 * [taylor]: Taking taylor expansion of lambda2 in lambda2
74.279 * [backup-simplify]: Simplify 0 into 0
74.279 * [backup-simplify]: Simplify 1 into 1
74.279 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.280 * [backup-simplify]: Simplify (+ 0) into 0
74.280 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
74.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
74.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
74.281 * [backup-simplify]: Simplify (+ 0 0) into 0
74.281 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
74.282 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
74.283 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
74.283 * [backup-simplify]: Simplify (- 0) into 0
74.284 * [backup-simplify]: Simplify (+ 0 0) into 0
74.284 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
74.285 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
74.286 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
74.286 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
74.286 * [backup-simplify]: Simplify (- 0) into 0
74.287 * [backup-simplify]: Simplify (+ 0 0) into 0
74.287 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
74.288 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
74.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0
74.289 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into 0
74.289 * [taylor]: Taking taylor expansion of 0 in phi1
74.289 * [backup-simplify]: Simplify 0 into 0
74.289 * [taylor]: Taking taylor expansion of 0 in phi2
74.289 * [backup-simplify]: Simplify 0 into 0
74.289 * [backup-simplify]: Simplify 0 into 0
74.289 * [backup-simplify]: Simplify (+ 0) into 0
74.290 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
74.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
74.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
74.290 * [backup-simplify]: Simplify (+ 0 0) into 0
74.291 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
74.291 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
74.291 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
74.292 * [backup-simplify]: Simplify (- 0) into 0
74.292 * [backup-simplify]: Simplify (+ 0 0) into 0
74.292 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
74.293 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
74.293 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
74.294 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
74.294 * [backup-simplify]: Simplify (- 0) into 0
74.294 * [backup-simplify]: Simplify (+ 0 0) into 0
74.295 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
74.295 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
74.295 * [taylor]: Taking taylor expansion of 0 in phi1
74.295 * [backup-simplify]: Simplify 0 into 0
74.296 * [taylor]: Taking taylor expansion of 0 in phi2
74.296 * [backup-simplify]: Simplify 0 into 0
74.296 * [backup-simplify]: Simplify 0 into 0
74.296 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
74.296 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
74.297 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
74.297 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
74.297 * [backup-simplify]: Simplify (- 0) into 0
74.298 * [backup-simplify]: Simplify (+ 0 0) into 0
74.298 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
74.299 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
74.299 * [taylor]: Taking taylor expansion of 0 in phi2
74.299 * [backup-simplify]: Simplify 0 into 0
74.299 * [backup-simplify]: Simplify 0 into 0
74.299 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
74.300 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
74.300 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
74.300 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
74.301 * [backup-simplify]: Simplify (- 0) into 0
74.301 * [backup-simplify]: Simplify (+ 0 0) into 0
74.301 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
74.302 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
74.302 * [backup-simplify]: Simplify 0 into 0
74.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
74.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
74.303 * [backup-simplify]: Simplify (- 0) into 0
74.303 * [backup-simplify]: Simplify (+ 0 0) into 0
74.304 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) (/ 1 lambda2)) (* 0 -1))) into (/ 1 (pow lambda2 2))
74.304 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
74.305 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
74.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
74.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
74.305 * [backup-simplify]: Simplify (+ 0 0) into 0
74.306 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
74.306 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
74.307 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
74.307 * [backup-simplify]: Simplify (- 0) into 0
74.307 * [backup-simplify]: Simplify (+ 0 0) into 0
74.308 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
74.308 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 1 (pow lambda2 2))) (+ (* 0 (- (* 2 (/ 1 lambda2)))) (* 0 1))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
74.309 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2))
74.309 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.310 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2))))
74.310 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)))
74.310 * [taylor]: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) in lambda2
74.310 * [taylor]: Taking taylor expansion of -1/9 in lambda2
74.310 * [backup-simplify]: Simplify -1/9 into -1/9
74.310 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)) in lambda2
74.310 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2
74.310 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2
74.310 * [taylor]: Taking taylor expansion of 1/3 in lambda2
74.310 * [backup-simplify]: Simplify 1/3 into 1/3
74.310 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2
74.310 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2
74.310 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
74.310 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
74.310 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
74.310 * [taylor]: Taking taylor expansion of -1/2 in lambda2
74.310 * [backup-simplify]: Simplify -1/2 into -1/2
74.310 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
74.310 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
74.310 * [taylor]: Taking taylor expansion of phi1 in lambda2
74.310 * [backup-simplify]: Simplify phi1 into phi1
74.310 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.310 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
74.310 * [taylor]: Taking taylor expansion of phi2 in lambda2
74.310 * [backup-simplify]: Simplify phi2 into phi2
74.310 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.310 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
74.311 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
74.311 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.311 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.311 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.311 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
74.311 * [backup-simplify]: Simplify (- 0) into 0
74.311 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.311 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.311 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.312 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2
74.312 * [taylor]: Taking taylor expansion of 2 in lambda2
74.312 * [backup-simplify]: Simplify 2 into 2
74.312 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2
74.312 * [taylor]: Taking taylor expansion of lambda1 in lambda2
74.312 * [backup-simplify]: Simplify lambda1 into lambda1
74.312 * [backup-simplify]: Simplify (log lambda1) into (log lambda1)
74.312 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
74.312 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
74.312 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.312 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.312 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.312 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2
74.312 * [taylor]: Taking taylor expansion of lambda2 in lambda2
74.312 * [backup-simplify]: Simplify 0 into 0
74.312 * [backup-simplify]: Simplify 1 into 1
74.313 * [backup-simplify]: Simplify (* 1 1) into 1
74.313 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.313 * [backup-simplify]: Simplify (+ 0) into 0
74.314 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
74.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
74.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
74.314 * [backup-simplify]: Simplify (+ 0 0) into 0
74.315 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
74.315 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
74.315 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
74.316 * [backup-simplify]: Simplify (- 0) into 0
74.316 * [backup-simplify]: Simplify (+ 0 0) into 0
74.316 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
74.316 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
74.317 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
74.317 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
74.318 * [backup-simplify]: Simplify (- 0) into 0
74.318 * [backup-simplify]: Simplify (+ 0 0) into 0
74.318 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
74.321 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
74.321 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
74.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
74.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
74.322 * [backup-simplify]: Simplify (+ 0 0) into 0
74.322 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
74.323 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
74.323 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
74.324 * [backup-simplify]: Simplify (- 0) into 0
74.324 * [backup-simplify]: Simplify (+ 0 0) into 0
74.324 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
74.325 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0
74.326 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0
74.327 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0
74.327 * [backup-simplify]: Simplify (- 0) into 0
74.328 * [backup-simplify]: Simplify (+ 0 0) into 0
74.328 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0
74.329 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
74.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
74.331 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
74.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
74.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0
74.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
74.336 * [backup-simplify]: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0
74.336 * [taylor]: Taking taylor expansion of 0 in phi1
74.336 * [backup-simplify]: Simplify 0 into 0
74.336 * [taylor]: Taking taylor expansion of 0 in phi2
74.336 * [backup-simplify]: Simplify 0 into 0
74.336 * [backup-simplify]: Simplify 0 into 0
74.337 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
74.338 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
74.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
74.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
74.338 * [backup-simplify]: Simplify (+ 0 0) into 0
74.339 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
74.340 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
74.341 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
74.341 * [backup-simplify]: Simplify (- 0) into 0
74.341 * [backup-simplify]: Simplify (+ 0 0) into 0
74.342 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
74.344 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0
74.346 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0
74.347 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0
74.347 * [backup-simplify]: Simplify (- 0) into 0
74.348 * [backup-simplify]: Simplify (+ 0 0) into 0
74.349 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0
74.350 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
74.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
74.353 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0
74.353 * [taylor]: Taking taylor expansion of 0 in phi1
74.353 * [backup-simplify]: Simplify 0 into 0
74.353 * [taylor]: Taking taylor expansion of 0 in phi2
74.353 * [backup-simplify]: Simplify 0 into 0
74.353 * [backup-simplify]: Simplify 0 into 0
74.354 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) 2)) (* 2 (log (/ 1 (- lambda1))))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ -1 lambda1))))))
74.354 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 2)
74.354 * [backup-simplify]: Simplify (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) into (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3)
74.354 * [approximate]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in (lambda1 lambda2 phi1 phi2) around 0
74.354 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in phi2
74.354 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in phi2
74.354 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in phi2
74.354 * [taylor]: Taking taylor expansion of 1/3 in phi2
74.354 * [backup-simplify]: Simplify 1/3 into 1/3
74.354 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in phi2
74.354 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2
74.354 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2
74.354 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2
74.354 * [taylor]: Taking taylor expansion of lambda1 in phi2
74.354 * [backup-simplify]: Simplify lambda1 into lambda1
74.355 * [taylor]: Taking taylor expansion of lambda2 in phi2
74.355 * [backup-simplify]: Simplify lambda2 into lambda2
74.355 * [backup-simplify]: Simplify (- lambda2) into (- lambda2)
74.355 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
74.355 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2
74.355 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2
74.355 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2
74.355 * [taylor]: Taking taylor expansion of 1/2 in phi2
74.355 * [backup-simplify]: Simplify 1/2 into 1/2
74.355 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2
74.355 * [taylor]: Taking taylor expansion of phi1 in phi2
74.355 * [backup-simplify]: Simplify phi1 into phi1
74.355 * [taylor]: Taking taylor expansion of phi2 in phi2
74.355 * [backup-simplify]: Simplify 0 into 0
74.355 * [backup-simplify]: Simplify 1 into 1
74.355 * [backup-simplify]: Simplify (+ phi1 0) into phi1
74.355 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1)
74.355 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
74.355 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
74.355 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1))
74.355 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0
74.356 * [backup-simplify]: Simplify (- 0) into 0
74.356 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1))
74.356 * [backup-simplify]: Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
74.356 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2)
74.356 * [backup-simplify]: Simplify (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) into (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))
74.357 * [backup-simplify]: Simplify (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))) into (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)))
74.357 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)))) into (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))))
74.357 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))))) into (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 1/3)
74.357 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in phi1
74.357 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in phi1
74.357 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in phi1
74.357 * [taylor]: Taking taylor expansion of 1/3 in phi1
74.357 * [backup-simplify]: Simplify 1/3 into 1/3
74.357 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in phi1
74.357 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1
74.357 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi1
74.357 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi1
74.357 * [taylor]: Taking taylor expansion of lambda1 in phi1
74.357 * [backup-simplify]: Simplify lambda1 into lambda1
74.357 * [taylor]: Taking taylor expansion of lambda2 in phi1
74.357 * [backup-simplify]: Simplify lambda2 into lambda2
74.357 * [backup-simplify]: Simplify (- lambda2) into (- lambda2)
74.357 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
74.358 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1
74.358 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1
74.358 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1
74.358 * [taylor]: Taking taylor expansion of 1/2 in phi1
74.358 * [backup-simplify]: Simplify 1/2 into 1/2
74.358 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1
74.358 * [taylor]: Taking taylor expansion of phi1 in phi1
74.358 * [backup-simplify]: Simplify 0 into 0
74.358 * [backup-simplify]: Simplify 1 into 1
74.358 * [taylor]: Taking taylor expansion of phi2 in phi1
74.358 * [backup-simplify]: Simplify phi2 into phi2
74.358 * [backup-simplify]: Simplify (+ 0 phi2) into phi2
74.358 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2)
74.358 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
74.358 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
74.358 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
74.358 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0
74.358 * [backup-simplify]: Simplify (- 0) into 0
74.358 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
74.358 * [backup-simplify]: Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
74.358 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2)
74.359 * [backup-simplify]: Simplify (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))
74.359 * [backup-simplify]: Simplify (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) into (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))
74.359 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))
74.359 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) into (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3)
74.359 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda2
74.359 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda2
74.359 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda2
74.359 * [taylor]: Taking taylor expansion of 1/3 in lambda2
74.359 * [backup-simplify]: Simplify 1/3 into 1/3
74.359 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda2
74.359 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2
74.359 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda2
74.359 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2
74.359 * [taylor]: Taking taylor expansion of lambda1 in lambda2
74.359 * [backup-simplify]: Simplify lambda1 into lambda1
74.359 * [taylor]: Taking taylor expansion of lambda2 in lambda2
74.359 * [backup-simplify]: Simplify 0 into 0
74.359 * [backup-simplify]: Simplify 1 into 1
74.359 * [backup-simplify]: Simplify (- 0) into 0
74.359 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1
74.359 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
74.359 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
74.359 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
74.360 * [taylor]: Taking taylor expansion of 1/2 in lambda2
74.360 * [backup-simplify]: Simplify 1/2 into 1/2
74.360 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2
74.360 * [taylor]: Taking taylor expansion of phi1 in lambda2
74.360 * [backup-simplify]: Simplify phi1 into phi1
74.360 * [taylor]: Taking taylor expansion of phi2 in lambda2
74.360 * [backup-simplify]: Simplify phi2 into phi2
74.360 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
74.360 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
74.360 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
74.360 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
74.360 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
74.360 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
74.360 * [backup-simplify]: Simplify (- 0) into 0
74.360 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
74.360 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2)
74.360 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
74.360 * [backup-simplify]: Simplify (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))
74.361 * [backup-simplify]: Simplify (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))) into (log (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
74.361 * [backup-simplify]: Simplify (* 1/3 (log (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))
74.361 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))) into (pow (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3)
74.361 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda1
74.361 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda1
74.361 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda1
74.361 * [taylor]: Taking taylor expansion of 1/3 in lambda1
74.361 * [backup-simplify]: Simplify 1/3 into 1/3
74.361 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda1
74.361 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1
74.361 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1
74.361 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1
74.361 * [taylor]: Taking taylor expansion of lambda1 in lambda1
74.361 * [backup-simplify]: Simplify 0 into 0
74.361 * [backup-simplify]: Simplify 1 into 1
74.361 * [taylor]: Taking taylor expansion of lambda2 in lambda1
74.361 * [backup-simplify]: Simplify lambda2 into lambda2
74.361 * [backup-simplify]: Simplify (- lambda2) into (- lambda2)
74.361 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2)
74.361 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1
74.361 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1
74.361 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1
74.361 * [taylor]: Taking taylor expansion of 1/2 in lambda1
74.361 * [backup-simplify]: Simplify 1/2 into 1/2
74.361 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1
74.361 * [taylor]: Taking taylor expansion of phi1 in lambda1
74.361 * [backup-simplify]: Simplify phi1 into phi1
74.361 * [taylor]: Taking taylor expansion of phi2 in lambda1
74.361 * [backup-simplify]: Simplify phi2 into phi2
74.361 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
74.361 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
74.362 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
74.362 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
74.362 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
74.362 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
74.362 * [backup-simplify]: Simplify (- 0) into 0
74.362 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
74.362 * [backup-simplify]: Simplify (* (- lambda2) (- lambda2)) into (pow lambda2 2)
74.362 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
74.362 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))
74.362 * [backup-simplify]: Simplify (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
74.363 * [backup-simplify]: Simplify (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
74.363 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3)
74.363 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda1
74.363 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda1
74.363 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda1
74.363 * [taylor]: Taking taylor expansion of 1/3 in lambda1
74.363 * [backup-simplify]: Simplify 1/3 into 1/3
74.363 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda1
74.363 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1
74.363 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1
74.363 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1
74.363 * [taylor]: Taking taylor expansion of lambda1 in lambda1
74.363 * [backup-simplify]: Simplify 0 into 0
74.363 * [backup-simplify]: Simplify 1 into 1
74.363 * [taylor]: Taking taylor expansion of lambda2 in lambda1
74.363 * [backup-simplify]: Simplify lambda2 into lambda2
74.363 * [backup-simplify]: Simplify (- lambda2) into (- lambda2)
74.363 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2)
74.363 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1
74.363 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1
74.363 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1
74.363 * [taylor]: Taking taylor expansion of 1/2 in lambda1
74.363 * [backup-simplify]: Simplify 1/2 into 1/2
74.363 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1
74.363 * [taylor]: Taking taylor expansion of phi1 in lambda1
74.363 * [backup-simplify]: Simplify phi1 into phi1
74.363 * [taylor]: Taking taylor expansion of phi2 in lambda1
74.363 * [backup-simplify]: Simplify phi2 into phi2
74.363 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
74.363 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
74.363 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
74.363 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
74.363 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
74.364 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
74.364 * [backup-simplify]: Simplify (- 0) into 0
74.364 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
74.364 * [backup-simplify]: Simplify (* (- lambda2) (- lambda2)) into (pow lambda2 2)
74.364 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
74.364 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))
74.364 * [backup-simplify]: Simplify (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
74.364 * [backup-simplify]: Simplify (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
74.365 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3)
74.365 * [taylor]: Taking taylor expansion of (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda2
74.365 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda2
74.365 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda2
74.365 * [taylor]: Taking taylor expansion of 1/3 in lambda2
74.365 * [backup-simplify]: Simplify 1/3 into 1/3
74.365 * [taylor]: Taking taylor expansion of (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda2
74.365 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2
74.365 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2
74.365 * [taylor]: Taking taylor expansion of lambda2 in lambda2
74.365 * [backup-simplify]: Simplify 0 into 0
74.365 * [backup-simplify]: Simplify 1 into 1
74.365 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
74.365 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
74.365 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
74.365 * [taylor]: Taking taylor expansion of 1/2 in lambda2
74.365 * [backup-simplify]: Simplify 1/2 into 1/2
74.365 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2
74.365 * [taylor]: Taking taylor expansion of phi1 in lambda2
74.365 * [backup-simplify]: Simplify phi1 into phi1
74.365 * [taylor]: Taking taylor expansion of phi2 in lambda2
74.365 * [backup-simplify]: Simplify phi2 into phi2
74.365 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
74.365 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
74.365 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
74.365 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
74.365 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
74.365 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
74.366 * [backup-simplify]: Simplify (- 0) into 0
74.366 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
74.366 * [backup-simplify]: Simplify (* 1 1) into 1
74.366 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
74.366 * [backup-simplify]: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
74.366 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))
74.367 * [backup-simplify]: Simplify (+ (* (- -2) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))
74.367 * [backup-simplify]: Simplify (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))) into (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))
74.367 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))))
74.367 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) in phi1
74.367 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))) in phi1
74.367 * [taylor]: Taking taylor expansion of 1/3 in phi1
74.367 * [backup-simplify]: Simplify 1/3 into 1/3
74.367 * [taylor]: Taking taylor expansion of (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))) in phi1
74.367 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1
74.367 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1
74.367 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1
74.367 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1
74.367 * [taylor]: Taking taylor expansion of 1/2 in phi1
74.367 * [backup-simplify]: Simplify 1/2 into 1/2
74.367 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1
74.367 * [taylor]: Taking taylor expansion of phi1 in phi1
74.367 * [backup-simplify]: Simplify 0 into 0
74.367 * [backup-simplify]: Simplify 1 into 1
74.367 * [taylor]: Taking taylor expansion of phi2 in phi1
74.367 * [backup-simplify]: Simplify phi2 into phi2
74.367 * [backup-simplify]: Simplify (+ 0 phi2) into phi2
74.367 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2)
74.367 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
74.367 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
74.367 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
74.367 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0
74.368 * [backup-simplify]: Simplify (- 0) into 0
74.368 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
74.368 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2)
74.368 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2))
74.368 * [taylor]: Taking taylor expansion of (* 2 (log lambda2)) in phi1
74.368 * [taylor]: Taking taylor expansion of 2 in phi1
74.368 * [backup-simplify]: Simplify 2 into 2
74.368 * [taylor]: Taking taylor expansion of (log lambda2) in phi1
74.368 * [taylor]: Taking taylor expansion of lambda2 in phi1
74.368 * [backup-simplify]: Simplify lambda2 into lambda2
74.368 * [backup-simplify]: Simplify (log lambda2) into (log lambda2)
74.368 * [backup-simplify]: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2))
74.368 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) into (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))
74.368 * [backup-simplify]: Simplify (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) into (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))
74.368 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))
74.368 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) in phi2
74.368 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) in phi2
74.369 * [taylor]: Taking taylor expansion of 1/3 in phi2
74.369 * [backup-simplify]: Simplify 1/3 into 1/3
74.369 * [taylor]: Taking taylor expansion of (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) in phi2
74.369 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2
74.369 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
74.369 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
74.369 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2
74.369 * [taylor]: Taking taylor expansion of 1/2 in phi2
74.369 * [backup-simplify]: Simplify 1/2 into 1/2
74.369 * [taylor]: Taking taylor expansion of phi2 in phi2
74.369 * [backup-simplify]: Simplify 0 into 0
74.369 * [backup-simplify]: Simplify 1 into 1
74.369 * [backup-simplify]: Simplify (* 1/2 0) into 0
74.369 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
74.370 * [backup-simplify]: Simplify (* 1 1) into 1
74.370 * [backup-simplify]: Simplify (log 1) into 0
74.370 * [taylor]: Taking taylor expansion of (* 2 (log lambda2)) in phi2
74.370 * [taylor]: Taking taylor expansion of 2 in phi2
74.370 * [backup-simplify]: Simplify 2 into 2
74.370 * [taylor]: Taking taylor expansion of (log lambda2) in phi2
74.370 * [taylor]: Taking taylor expansion of lambda2 in phi2
74.370 * [backup-simplify]: Simplify lambda2 into lambda2
74.370 * [backup-simplify]: Simplify (log lambda2) into (log lambda2)
74.370 * [backup-simplify]: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2))
74.370 * [backup-simplify]: Simplify (+ 0 (* 2 (log lambda2))) into (* 2 (log lambda2))
74.370 * [backup-simplify]: Simplify (* 1/3 (* 2 (log lambda2))) into (* 2/3 (log lambda2))
74.370 * [backup-simplify]: Simplify (exp (* 2/3 (log lambda2))) into (pow lambda2 2/3)
74.370 * [backup-simplify]: Simplify (pow lambda2 2/3) into (pow lambda2 2/3)
74.371 * [backup-simplify]: Simplify (+ 0) into 0
74.371 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
74.371 * [backup-simplify]: Simplify (+ 0 0) into 0
74.372 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0
74.372 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
74.372 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
74.373 * [backup-simplify]: Simplify (- 0) into 0
74.373 * [backup-simplify]: Simplify (+ 0 0) into 0
74.373 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0
74.373 * [backup-simplify]: Simplify (- 0) into 0
74.373 * [backup-simplify]: Simplify (+ 1 0) into 1
74.374 * [backup-simplify]: Simplify (+ (* (- lambda2) 1) (* 1 (- lambda2))) into (- (* 2 lambda2))
74.374 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (* (- (* 2 lambda2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
74.374 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 1)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)))) 1) into (/ -2 lambda2)
74.374 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2/3 (/ 1 lambda2)))
74.375 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3))
74.375 * [taylor]: Taking taylor expansion of (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3)) in lambda2
74.375 * [taylor]: Taking taylor expansion of -2/3 in lambda2
74.375 * [backup-simplify]: Simplify -2/3 into -2/3
74.375 * [taylor]: Taking taylor expansion of (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3) in lambda2
74.375 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)))) in lambda2
74.375 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) in lambda2
74.375 * [taylor]: Taking taylor expansion of 1/3 in lambda2
74.375 * [backup-simplify]: Simplify 1/3 into 1/3
74.375 * [taylor]: Taking taylor expansion of (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)) in lambda2
74.375 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) in lambda2
74.375 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
74.375 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
74.375 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
74.375 * [taylor]: Taking taylor expansion of 1/2 in lambda2
74.375 * [backup-simplify]: Simplify 1/2 into 1/2
74.375 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2
74.375 * [taylor]: Taking taylor expansion of phi1 in lambda2
74.375 * [backup-simplify]: Simplify phi1 into phi1
74.375 * [taylor]: Taking taylor expansion of phi2 in lambda2
74.375 * [backup-simplify]: Simplify phi2 into phi2
74.375 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
74.375 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
74.375 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
74.375 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
74.375 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
74.375 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
74.375 * [backup-simplify]: Simplify (- 0) into 0
74.376 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
74.376 * [taylor]: Taking taylor expansion of lambda2 in lambda2
74.376 * [backup-simplify]: Simplify 0 into 0
74.376 * [backup-simplify]: Simplify 1 into 1
74.376 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
74.376 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
74.376 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))
74.376 * [backup-simplify]: Simplify (+ (* (- 1) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))
74.376 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))
74.376 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))
74.377 * [backup-simplify]: Simplify (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) into (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))))
74.377 * [taylor]: Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) in phi1
74.377 * [taylor]: Taking taylor expansion of -2/3 in phi1
74.377 * [backup-simplify]: Simplify -2/3 into -2/3
74.377 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) in phi1
74.377 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) in phi1
74.377 * [taylor]: Taking taylor expansion of 1/3 in phi1
74.377 * [backup-simplify]: Simplify 1/3 into 1/3
74.377 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)) in phi1
74.377 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1
74.377 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1
74.377 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1
74.377 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1
74.377 * [taylor]: Taking taylor expansion of 1/2 in phi1
74.377 * [backup-simplify]: Simplify 1/2 into 1/2
74.377 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1
74.377 * [taylor]: Taking taylor expansion of phi1 in phi1
74.377 * [backup-simplify]: Simplify 0 into 0
74.377 * [backup-simplify]: Simplify 1 into 1
74.377 * [taylor]: Taking taylor expansion of phi2 in phi1
74.377 * [backup-simplify]: Simplify phi2 into phi2
74.377 * [backup-simplify]: Simplify (+ 0 phi2) into phi2
74.377 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2)
74.377 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
74.377 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
74.377 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
74.377 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0
74.377 * [backup-simplify]: Simplify (- 0) into 0
74.377 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
74.378 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2)
74.378 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2))
74.378 * [taylor]: Taking taylor expansion of (log lambda2) in phi1
74.378 * [taylor]: Taking taylor expansion of lambda2 in phi1
74.378 * [backup-simplify]: Simplify lambda2 into lambda2
74.378 * [backup-simplify]: Simplify (log lambda2) into (log lambda2)
74.378 * [backup-simplify]: Simplify (- (log lambda2)) into (- (log lambda2))
74.378 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 phi2)) 2)) (- (log lambda2))) into (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))
74.378 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))) into (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))
74.378 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))))
74.378 * [backup-simplify]: Simplify (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))))) into (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))))
74.378 * [taylor]: Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))))) in phi2
74.378 * [taylor]: Taking taylor expansion of -2/3 in phi2
74.378 * [backup-simplify]: Simplify -2/3 into -2/3
74.378 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))) in phi2
74.378 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))) in phi2
74.378 * [taylor]: Taking taylor expansion of 1/3 in phi2
74.378 * [backup-simplify]: Simplify 1/3 into 1/3
74.378 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)) in phi2
74.378 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2
74.378 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
74.378 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
74.378 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2
74.378 * [taylor]: Taking taylor expansion of 1/2 in phi2
74.379 * [backup-simplify]: Simplify 1/2 into 1/2
74.379 * [taylor]: Taking taylor expansion of phi2 in phi2
74.379 * [backup-simplify]: Simplify 0 into 0
74.379 * [backup-simplify]: Simplify 1 into 1
74.379 * [backup-simplify]: Simplify (* 1/2 0) into 0
74.379 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
74.380 * [backup-simplify]: Simplify (* 1 1) into 1
74.380 * [backup-simplify]: Simplify (log 1) into 0
74.380 * [taylor]: Taking taylor expansion of (log lambda2) in phi2
74.380 * [taylor]: Taking taylor expansion of lambda2 in phi2
74.380 * [backup-simplify]: Simplify lambda2 into lambda2
74.380 * [backup-simplify]: Simplify (log lambda2) into (log lambda2)
74.380 * [backup-simplify]: Simplify (- (log lambda2)) into (- (log lambda2))
74.380 * [backup-simplify]: Simplify (+ 0 (- (log lambda2))) into (- (log lambda2))
74.380 * [backup-simplify]: Simplify (* 1/3 (- (log lambda2))) into (* -1/3 (log lambda2))
74.380 * [backup-simplify]: Simplify (exp (* -1/3 (log lambda2))) into (pow lambda2 -1/3)
74.380 * [backup-simplify]: Simplify (* -2/3 (pow lambda2 -1/3)) into (* -2/3 (pow (/ 1 lambda2) 1/3))
74.380 * [backup-simplify]: Simplify (* -2/3 (pow (/ 1 lambda2) 1/3)) into (* -2/3 (pow (/ 1 lambda2) 1/3))
74.380 * [backup-simplify]: Simplify (+ 0) into 0
74.381 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
74.381 * [backup-simplify]: Simplify (+ 0 0) into 0
74.381 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0
74.382 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
74.382 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
74.382 * [backup-simplify]: Simplify (- 0) into 0
74.383 * [backup-simplify]: Simplify (+ 0 0) into 0
74.383 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0
74.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
74.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0
74.384 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1)))) 1) into 0
74.384 * [backup-simplify]: Simplify (+ (* (- -2) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))
74.385 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) into 0
74.385 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow 0 1) 1)))) into 0
74.385 * [taylor]: Taking taylor expansion of 0 in phi1
74.385 * [backup-simplify]: Simplify 0 into 0
74.385 * [taylor]: Taking taylor expansion of 0 in phi2
74.385 * [backup-simplify]: Simplify 0 into 0
74.385 * [backup-simplify]: Simplify 0 into 0
74.386 * [backup-simplify]: Simplify (+ 0) into 0
74.386 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0
74.387 * [backup-simplify]: Simplify (+ 1 0) into 1
74.388 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2
74.389 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
74.390 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2)))
74.390 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2))))
74.390 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2))))
74.390 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))))
74.391 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))))) 1)) (pow (pow (cos (* 1/2 phi2)) 2) 1)))) 1) into (* -1 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))
74.392 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0
74.393 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0
74.393 * [backup-simplify]: Simplify (+ (* -1 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) 0) into (- (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))
74.393 * [backup-simplify]: Simplify (+ (* 1/3 (- (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))) (* 0 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) into (- (* 1/3 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))))
74.394 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow (- (* 1/3 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))) 1) 1)))) into (* -1/3 (/ (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) (cos (* 1/2 phi2))))
74.394 * [taylor]: Taking taylor expansion of (* -1/3 (/ (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) (cos (* 1/2 phi2)))) in phi2
74.394 * [taylor]: Taking taylor expansion of -1/3 in phi2
74.394 * [backup-simplify]: Simplify -1/3 into -1/3
74.394 * [taylor]: Taking taylor expansion of (/ (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) (cos (* 1/2 phi2))) in phi2
74.394 * [taylor]: Taking taylor expansion of (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) in phi2
74.394 * [taylor]: Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
74.394 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2
74.394 * [taylor]: Taking taylor expansion of 1/2 in phi2
74.394 * [backup-simplify]: Simplify 1/2 into 1/2
74.394 * [taylor]: Taking taylor expansion of phi2 in phi2
74.394 * [backup-simplify]: Simplify 0 into 0
74.394 * [backup-simplify]: Simplify 1 into 1
74.395 * [backup-simplify]: Simplify (* 1/2 0) into 0
74.395 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
74.395 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) in phi2
74.395 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) in phi2
74.396 * [taylor]: Taking taylor expansion of 1/3 in phi2
74.396 * [backup-simplify]: Simplify 1/3 into 1/3
74.396 * [taylor]: Taking taylor expansion of (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) in phi2
74.396 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2
74.396 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
74.396 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
74.396 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2
74.396 * [taylor]: Taking taylor expansion of 1/2 in phi2
74.396 * [backup-simplify]: Simplify 1/2 into 1/2
74.396 * [taylor]: Taking taylor expansion of phi2 in phi2
74.396 * [backup-simplify]: Simplify 0 into 0
74.396 * [backup-simplify]: Simplify 1 into 1
74.396 * [backup-simplify]: Simplify (* 1/2 0) into 0
74.397 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
74.397 * [backup-simplify]: Simplify (* 1 1) into 1
74.398 * [backup-simplify]: Simplify (log 1) into 0
74.398 * [taylor]: Taking taylor expansion of (* 2 (log lambda2)) in phi2
74.398 * [taylor]: Taking taylor expansion of 2 in phi2
74.398 * [backup-simplify]: Simplify 2 into 2
74.398 * [taylor]: Taking taylor expansion of (log lambda2) in phi2
74.398 * [taylor]: Taking taylor expansion of lambda2 in phi2
74.398 * [backup-simplify]: Simplify lambda2 into lambda2
74.398 * [backup-simplify]: Simplify (log lambda2) into (log lambda2)
74.398 * [backup-simplify]: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2))
74.398 * [backup-simplify]: Simplify (+ 0 (* 2 (log lambda2))) into (* 2 (log lambda2))
74.398 * [backup-simplify]: Simplify (* 1/3 (* 2 (log lambda2))) into (* 2/3 (log lambda2))
74.398 * [backup-simplify]: Simplify (exp (* 2/3 (log lambda2))) into (pow lambda2 2/3)
74.398 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
74.398 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2
74.398 * [taylor]: Taking taylor expansion of 1/2 in phi2
74.398 * [backup-simplify]: Simplify 1/2 into 1/2
74.398 * [taylor]: Taking taylor expansion of phi2 in phi2
74.398 * [backup-simplify]: Simplify 0 into 0
74.398 * [backup-simplify]: Simplify 1 into 1
74.399 * [backup-simplify]: Simplify (* 1/2 0) into 0
74.400 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
74.400 * [backup-simplify]: Simplify (* 0 (pow lambda2 2/3)) into 0
74.400 * [backup-simplify]: Simplify (+ 0) into 0
74.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
74.402 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
74.403 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0
74.403 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0
74.404 * [backup-simplify]: Simplify (+ 0 0) into 0
74.404 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log lambda2)))) into 0
74.405 * [backup-simplify]: Simplify (* (exp (* 2/3 (log lambda2))) (+ (* (/ (pow 0 1) 1)))) into 0
74.406 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
74.406 * [backup-simplify]: Simplify (+ (* 0 0) (* 1/2 (pow lambda2 2/3))) into (* 1/2 (pow (pow lambda2 2) 1/3))
74.406 * [backup-simplify]: Simplify (/ (* 1/2 (pow (pow lambda2 2) 1/3)) 1) into (* 1/2 (pow (pow lambda2 2) 1/3))
74.407 * [backup-simplify]: Simplify (+ 0) into 0
74.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
74.409 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
74.410 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0
74.410 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0
74.411 * [backup-simplify]: Simplify (+ 0 0) into 0
74.411 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log lambda2)))) into 0
74.412 * [backup-simplify]: Simplify (* (exp (* 2/3 (log lambda2))) (+ (* (/ (pow 0 1) 1)))) into 0
74.412 * [backup-simplify]: Simplify 0 into 0
74.413 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
74.414 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0
74.414 * [backup-simplify]: Simplify (+ 0 0) into 0
74.415 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0
74.416 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
74.417 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0
74.417 * [backup-simplify]: Simplify (- 0) into 0
74.417 * [backup-simplify]: Simplify (+ 0 0) into 0
74.418 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0
74.418 * [backup-simplify]: Simplify (- 0) into 0
74.419 * [backup-simplify]: Simplify (+ 0 0) into 0
74.419 * [backup-simplify]: Simplify (+ (* (- lambda2) 0) (+ (* 1 1) (* 0 (- lambda2)))) into 1
74.420 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (+ (* (- (* 2 lambda2)) 0) (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
74.421 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 2)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)))) 2) into (/ -1 (pow lambda2 2))
74.421 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))))) into (- (* 1/3 (/ 1 (pow lambda2 2))))
74.422 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3))
74.422 * [taylor]: Taking taylor expansion of (* -1/9 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3)) in lambda2
74.422 * [taylor]: Taking taylor expansion of -1/9 in lambda2
74.422 * [backup-simplify]: Simplify -1/9 into -1/9
74.422 * [taylor]: Taking taylor expansion of (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3) in lambda2
74.422 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4))))) in lambda2
74.422 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)))) in lambda2
74.422 * [taylor]: Taking taylor expansion of 1/3 in lambda2
74.422 * [backup-simplify]: Simplify 1/3 into 1/3
74.422 * [taylor]: Taking taylor expansion of (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4))) in lambda2
74.422 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) in lambda2
74.422 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
74.422 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
74.422 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
74.422 * [taylor]: Taking taylor expansion of 1/2 in lambda2
74.422 * [backup-simplify]: Simplify 1/2 into 1/2
74.422 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2
74.422 * [taylor]: Taking taylor expansion of phi1 in lambda2
74.422 * [backup-simplify]: Simplify phi1 into phi1
74.422 * [taylor]: Taking taylor expansion of phi2 in lambda2
74.422 * [backup-simplify]: Simplify phi2 into phi2
74.422 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
74.422 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
74.422 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
74.423 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
74.423 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
74.423 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
74.423 * [backup-simplify]: Simplify (- 0) into 0
74.423 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
74.423 * [taylor]: Taking taylor expansion of (pow lambda2 4) in lambda2
74.423 * [taylor]: Taking taylor expansion of lambda2 in lambda2
74.423 * [backup-simplify]: Simplify 0 into 0
74.423 * [backup-simplify]: Simplify 1 into 1
74.424 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
74.424 * [backup-simplify]: Simplify (* 1 1) into 1
74.424 * [backup-simplify]: Simplify (* 1 1) into 1
74.425 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
74.425 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))
74.425 * [backup-simplify]: Simplify (+ (* (- 4) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))
74.425 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))
74.426 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))
74.426 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) into (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))))
74.426 * [taylor]: Taking taylor expansion of (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) in phi1
74.426 * [taylor]: Taking taylor expansion of -1/9 in phi1
74.426 * [backup-simplify]: Simplify -1/9 into -1/9
74.426 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) in phi1
74.426 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) in phi1
74.426 * [taylor]: Taking taylor expansion of 1/3 in phi1
74.426 * [backup-simplify]: Simplify 1/3 into 1/3
74.426 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))) in phi1
74.426 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1
74.426 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1
74.426 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1
74.426 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1
74.426 * [taylor]: Taking taylor expansion of 1/2 in phi1
74.426 * [backup-simplify]: Simplify 1/2 into 1/2
74.426 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1
74.426 * [taylor]: Taking taylor expansion of phi1 in phi1
74.427 * [backup-simplify]: Simplify 0 into 0
74.427 * [backup-simplify]: Simplify 1 into 1
74.427 * [taylor]: Taking taylor expansion of phi2 in phi1
74.427 * [backup-simplify]: Simplify phi2 into phi2
74.427 * [backup-simplify]: Simplify (+ 0 phi2) into phi2
74.427 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2)
74.427 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
74.427 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
74.427 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
74.427 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0
74.427 * [backup-simplify]: Simplify (- 0) into 0
74.428 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
74.428 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2)
74.428 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2))
74.428 * [taylor]: Taking taylor expansion of (* 4 (log lambda2)) in phi1
74.428 * [taylor]: Taking taylor expansion of 4 in phi1
74.428 * [backup-simplify]: Simplify 4 into 4
74.428 * [taylor]: Taking taylor expansion of (log lambda2) in phi1
74.428 * [taylor]: Taking taylor expansion of lambda2 in phi1
74.428 * [backup-simplify]: Simplify lambda2 into lambda2
74.428 * [backup-simplify]: Simplify (log lambda2) into (log lambda2)
74.428 * [backup-simplify]: Simplify (* 4 (log lambda2)) into (* 4 (log lambda2))
74.428 * [backup-simplify]: Simplify (- (* 4 (log lambda2))) into (- (* 4 (log lambda2)))
74.428 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 phi2)) 2)) (- (* 4 (log lambda2)))) into (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))
74.429 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))
74.429 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))))
74.429 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))))) into (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))))
74.429 * [taylor]: Taking taylor expansion of (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))))) in phi2
74.429 * [taylor]: Taking taylor expansion of -1/9 in phi2
74.429 * [backup-simplify]: Simplify -1/9 into -1/9
74.429 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))) in phi2
74.429 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))) in phi2
74.429 * [taylor]: Taking taylor expansion of 1/3 in phi2
74.429 * [backup-simplify]: Simplify 1/3 into 1/3
74.429 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))) in phi2
74.429 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2
74.429 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
74.429 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
74.430 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2
74.430 * [taylor]: Taking taylor expansion of 1/2 in phi2
74.430 * [backup-simplify]: Simplify 1/2 into 1/2
74.430 * [taylor]: Taking taylor expansion of phi2 in phi2
74.430 * [backup-simplify]: Simplify 0 into 0
74.430 * [backup-simplify]: Simplify 1 into 1
74.430 * [backup-simplify]: Simplify (* 1/2 0) into 0
74.431 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
74.431 * [backup-simplify]: Simplify (* 1 1) into 1
74.432 * [backup-simplify]: Simplify (log 1) into 0
74.432 * [taylor]: Taking taylor expansion of (* 4 (log lambda2)) in phi2
74.432 * [taylor]: Taking taylor expansion of 4 in phi2
74.432 * [backup-simplify]: Simplify 4 into 4
74.432 * [taylor]: Taking taylor expansion of (log lambda2) in phi2
74.432 * [taylor]: Taking taylor expansion of lambda2 in phi2
74.432 * [backup-simplify]: Simplify lambda2 into lambda2
74.432 * [backup-simplify]: Simplify (log lambda2) into (log lambda2)
74.432 * [backup-simplify]: Simplify (* 4 (log lambda2)) into (* 4 (log lambda2))
74.432 * [backup-simplify]: Simplify (- (* 4 (log lambda2))) into (- (* 4 (log lambda2)))
74.432 * [backup-simplify]: Simplify (+ 0 (- (* 4 (log lambda2)))) into (- (* 4 (log lambda2)))
74.432 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log lambda2)))) into (* -4/3 (log lambda2))
74.432 * [backup-simplify]: Simplify (exp (* -4/3 (log lambda2))) into (pow lambda2 -4/3)
74.432 * [backup-simplify]: Simplify (* -1/9 (pow lambda2 -4/3)) into (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3))
74.432 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) into (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3))
74.433 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) (pow (* 1 (* 1 (* 1 lambda1))) 2)) (+ (* (* -2/3 (pow (/ 1 lambda2) 1/3)) (* 1 (* 1 (* 1 lambda1)))) (pow lambda2 2/3))) into (- (pow lambda2 2/3) (+ (* 2/3 (* (pow (/ 1 lambda2) 1/3) lambda1)) (* 1/9 (* (pow (/ 1 (pow lambda2 4)) 1/3) (pow lambda1 2)))))
74.434 * [backup-simplify]: Simplify (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3)
74.434 * [approximate]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in (lambda1 lambda2 phi1 phi2) around 0
74.434 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in phi2
74.434 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in phi2
74.434 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in phi2
74.434 * [taylor]: Taking taylor expansion of 1/3 in phi2
74.434 * [backup-simplify]: Simplify 1/3 into 1/3
74.434 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in phi2
74.434 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in phi2
74.434 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
74.434 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
74.434 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
74.434 * [taylor]: Taking taylor expansion of 1/2 in phi2
74.434 * [backup-simplify]: Simplify 1/2 into 1/2
74.434 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
74.434 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
74.434 * [taylor]: Taking taylor expansion of phi1 in phi2
74.434 * [backup-simplify]: Simplify phi1 into phi1
74.434 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.434 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
74.434 * [taylor]: Taking taylor expansion of phi2 in phi2
74.434 * [backup-simplify]: Simplify 0 into 0
74.435 * [backup-simplify]: Simplify 1 into 1
74.435 * [backup-simplify]: Simplify (/ 1 1) into 1
74.435 * [backup-simplify]: Simplify (+ 0 1) into 1
74.436 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
74.436 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.436 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in phi2
74.436 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2
74.436 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2
74.436 * [taylor]: Taking taylor expansion of lambda1 in phi2
74.436 * [backup-simplify]: Simplify lambda1 into lambda1
74.436 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
74.436 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2
74.436 * [taylor]: Taking taylor expansion of lambda2 in phi2
74.436 * [backup-simplify]: Simplify lambda2 into lambda2
74.436 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
74.436 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
74.436 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
74.437 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.437 * [backup-simplify]: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (- (/ 1 lambda1) (/ 1 lambda2))) into (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)
74.437 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))
74.437 * [backup-simplify]: Simplify (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))
74.438 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))
74.438 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3)
74.438 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in phi1
74.438 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in phi1
74.438 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in phi1
74.438 * [taylor]: Taking taylor expansion of 1/3 in phi1
74.438 * [backup-simplify]: Simplify 1/3 into 1/3
74.438 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in phi1
74.438 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in phi1
74.438 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
74.438 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
74.439 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
74.439 * [taylor]: Taking taylor expansion of 1/2 in phi1
74.439 * [backup-simplify]: Simplify 1/2 into 1/2
74.439 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
74.439 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
74.439 * [taylor]: Taking taylor expansion of phi1 in phi1
74.439 * [backup-simplify]: Simplify 0 into 0
74.439 * [backup-simplify]: Simplify 1 into 1
74.439 * [backup-simplify]: Simplify (/ 1 1) into 1
74.439 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
74.439 * [taylor]: Taking taylor expansion of phi2 in phi1
74.439 * [backup-simplify]: Simplify phi2 into phi2
74.439 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.440 * [backup-simplify]: Simplify (+ 1 0) into 1
74.440 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
74.440 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.440 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in phi1
74.440 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1
74.440 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1
74.440 * [taylor]: Taking taylor expansion of lambda1 in phi1
74.440 * [backup-simplify]: Simplify lambda1 into lambda1
74.440 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
74.441 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1
74.441 * [taylor]: Taking taylor expansion of lambda2 in phi1
74.441 * [backup-simplify]: Simplify lambda2 into lambda2
74.441 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
74.441 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
74.441 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
74.441 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.441 * [backup-simplify]: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (- (/ 1 lambda1) (/ 1 lambda2))) into (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)
74.442 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))
74.442 * [backup-simplify]: Simplify (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))
74.442 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))
74.443 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3)
74.443 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in lambda2
74.443 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in lambda2
74.443 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in lambda2
74.443 * [taylor]: Taking taylor expansion of 1/3 in lambda2
74.443 * [backup-simplify]: Simplify 1/3 into 1/3
74.443 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in lambda2
74.443 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda2
74.443 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
74.443 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
74.443 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
74.443 * [taylor]: Taking taylor expansion of 1/2 in lambda2
74.443 * [backup-simplify]: Simplify 1/2 into 1/2
74.443 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
74.443 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
74.443 * [taylor]: Taking taylor expansion of phi1 in lambda2
74.443 * [backup-simplify]: Simplify phi1 into phi1
74.443 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.443 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
74.443 * [taylor]: Taking taylor expansion of phi2 in lambda2
74.443 * [backup-simplify]: Simplify phi2 into phi2
74.443 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.444 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
74.444 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
74.444 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.444 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.444 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.444 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
74.445 * [backup-simplify]: Simplify (- 0) into 0
74.445 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.445 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda2
74.445 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
74.445 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
74.445 * [taylor]: Taking taylor expansion of lambda1 in lambda2
74.445 * [backup-simplify]: Simplify lambda1 into lambda1
74.445 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
74.445 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
74.445 * [taylor]: Taking taylor expansion of lambda2 in lambda2
74.445 * [backup-simplify]: Simplify 0 into 0
74.445 * [backup-simplify]: Simplify 1 into 1
74.446 * [backup-simplify]: Simplify (/ 1 1) into 1
74.446 * [backup-simplify]: Simplify (- 1) into -1
74.446 * [backup-simplify]: Simplify (+ 0 -1) into -1
74.447 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.447 * [backup-simplify]: Simplify (* -1 -1) into 1
74.447 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.448 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.448 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))
74.448 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))
74.449 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))))
74.449 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in lambda1
74.449 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in lambda1
74.449 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in lambda1
74.449 * [taylor]: Taking taylor expansion of 1/3 in lambda1
74.449 * [backup-simplify]: Simplify 1/3 into 1/3
74.449 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in lambda1
74.449 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1
74.449 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
74.449 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
74.449 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
74.449 * [taylor]: Taking taylor expansion of 1/2 in lambda1
74.449 * [backup-simplify]: Simplify 1/2 into 1/2
74.449 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
74.449 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
74.449 * [taylor]: Taking taylor expansion of phi1 in lambda1
74.449 * [backup-simplify]: Simplify phi1 into phi1
74.449 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.449 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
74.449 * [taylor]: Taking taylor expansion of phi2 in lambda1
74.449 * [backup-simplify]: Simplify phi2 into phi2
74.449 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.449 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
74.450 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
74.450 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.450 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.450 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.450 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
74.452 * [backup-simplify]: Simplify (- 0) into 0
74.453 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.453 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda1
74.453 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
74.453 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
74.453 * [taylor]: Taking taylor expansion of lambda1 in lambda1
74.453 * [backup-simplify]: Simplify 0 into 0
74.453 * [backup-simplify]: Simplify 1 into 1
74.453 * [backup-simplify]: Simplify (/ 1 1) into 1
74.453 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
74.453 * [taylor]: Taking taylor expansion of lambda2 in lambda1
74.453 * [backup-simplify]: Simplify lambda2 into lambda2
74.453 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
74.454 * [backup-simplify]: Simplify (+ 1 0) into 1
74.454 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.455 * [backup-simplify]: Simplify (* 1 1) into 1
74.455 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.455 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.456 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.456 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.456 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.456 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in lambda1
74.456 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in lambda1
74.456 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in lambda1
74.456 * [taylor]: Taking taylor expansion of 1/3 in lambda1
74.456 * [backup-simplify]: Simplify 1/3 into 1/3
74.456 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in lambda1
74.456 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1
74.456 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
74.456 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
74.457 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
74.457 * [taylor]: Taking taylor expansion of 1/2 in lambda1
74.457 * [backup-simplify]: Simplify 1/2 into 1/2
74.457 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
74.457 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
74.457 * [taylor]: Taking taylor expansion of phi1 in lambda1
74.457 * [backup-simplify]: Simplify phi1 into phi1
74.457 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.457 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
74.457 * [taylor]: Taking taylor expansion of phi2 in lambda1
74.457 * [backup-simplify]: Simplify phi2 into phi2
74.457 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.457 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
74.457 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
74.457 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.458 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.458 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.458 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
74.458 * [backup-simplify]: Simplify (- 0) into 0
74.459 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.459 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda1
74.459 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
74.459 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
74.459 * [taylor]: Taking taylor expansion of lambda1 in lambda1
74.459 * [backup-simplify]: Simplify 0 into 0
74.459 * [backup-simplify]: Simplify 1 into 1
74.459 * [backup-simplify]: Simplify (/ 1 1) into 1
74.459 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
74.459 * [taylor]: Taking taylor expansion of lambda2 in lambda1
74.459 * [backup-simplify]: Simplify lambda2 into lambda2
74.459 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
74.460 * [backup-simplify]: Simplify (+ 1 0) into 1
74.460 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.460 * [backup-simplify]: Simplify (* 1 1) into 1
74.461 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.461 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.461 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.462 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.462 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.462 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2
74.462 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2
74.462 * [taylor]: Taking taylor expansion of 1/3 in lambda2
74.462 * [backup-simplify]: Simplify 1/3 into 1/3
74.462 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2
74.462 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2
74.462 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
74.462 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
74.462 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
74.462 * [taylor]: Taking taylor expansion of 1/2 in lambda2
74.462 * [backup-simplify]: Simplify 1/2 into 1/2
74.462 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
74.462 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
74.462 * [taylor]: Taking taylor expansion of phi1 in lambda2
74.462 * [backup-simplify]: Simplify phi1 into phi1
74.462 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.463 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
74.463 * [taylor]: Taking taylor expansion of phi2 in lambda2
74.463 * [backup-simplify]: Simplify phi2 into phi2
74.463 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.463 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
74.463 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
74.463 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.463 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.463 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.463 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
74.464 * [backup-simplify]: Simplify (- 0) into 0
74.464 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.464 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.464 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.465 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2
74.465 * [taylor]: Taking taylor expansion of 2 in lambda2
74.465 * [backup-simplify]: Simplify 2 into 2
74.465 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2
74.465 * [taylor]: Taking taylor expansion of lambda1 in lambda2
74.465 * [backup-simplify]: Simplify lambda1 into lambda1
74.465 * [backup-simplify]: Simplify (log lambda1) into (log lambda1)
74.465 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
74.465 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
74.465 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.465 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.466 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.466 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1
74.466 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1
74.466 * [taylor]: Taking taylor expansion of 1/3 in phi1
74.466 * [backup-simplify]: Simplify 1/3 into 1/3
74.466 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1
74.466 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1
74.466 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
74.466 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
74.466 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
74.466 * [taylor]: Taking taylor expansion of 1/2 in phi1
74.466 * [backup-simplify]: Simplify 1/2 into 1/2
74.466 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
74.466 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
74.466 * [taylor]: Taking taylor expansion of phi1 in phi1
74.466 * [backup-simplify]: Simplify 0 into 0
74.466 * [backup-simplify]: Simplify 1 into 1
74.467 * [backup-simplify]: Simplify (/ 1 1) into 1
74.467 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
74.467 * [taylor]: Taking taylor expansion of phi2 in phi1
74.467 * [backup-simplify]: Simplify phi2 into phi2
74.467 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.467 * [backup-simplify]: Simplify (+ 1 0) into 1
74.468 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
74.468 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.468 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.468 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.468 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1
74.468 * [taylor]: Taking taylor expansion of 2 in phi1
74.468 * [backup-simplify]: Simplify 2 into 2
74.468 * [taylor]: Taking taylor expansion of (log lambda1) in phi1
74.468 * [taylor]: Taking taylor expansion of lambda1 in phi1
74.468 * [backup-simplify]: Simplify lambda1 into lambda1
74.468 * [backup-simplify]: Simplify (log lambda1) into (log lambda1)
74.468 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
74.468 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
74.469 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.469 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.469 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.469 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2
74.469 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2
74.469 * [taylor]: Taking taylor expansion of 1/3 in phi2
74.469 * [backup-simplify]: Simplify 1/3 into 1/3
74.469 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2
74.470 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2
74.470 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
74.470 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
74.470 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
74.470 * [taylor]: Taking taylor expansion of 1/2 in phi2
74.470 * [backup-simplify]: Simplify 1/2 into 1/2
74.470 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
74.470 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
74.470 * [taylor]: Taking taylor expansion of phi1 in phi2
74.470 * [backup-simplify]: Simplify phi1 into phi1
74.470 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.470 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
74.470 * [taylor]: Taking taylor expansion of phi2 in phi2
74.470 * [backup-simplify]: Simplify 0 into 0
74.470 * [backup-simplify]: Simplify 1 into 1
74.470 * [backup-simplify]: Simplify (/ 1 1) into 1
74.471 * [backup-simplify]: Simplify (+ 0 1) into 1
74.471 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
74.471 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.472 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.472 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.472 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi2
74.472 * [taylor]: Taking taylor expansion of 2 in phi2
74.472 * [backup-simplify]: Simplify 2 into 2
74.472 * [taylor]: Taking taylor expansion of (log lambda1) in phi2
74.472 * [taylor]: Taking taylor expansion of lambda1 in phi2
74.472 * [backup-simplify]: Simplify lambda1 into lambda1
74.472 * [backup-simplify]: Simplify (log lambda1) into (log lambda1)
74.472 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
74.472 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
74.473 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.473 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.473 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.473 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
74.475 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
74.475 * [backup-simplify]: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2))
74.475 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 lambda2))) (* (- (/ 1 lambda2)) 1)) into (- (* 2 (/ 1 lambda2)))
74.475 * [backup-simplify]: Simplify (+ 0) into 0
74.476 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
74.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
74.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
74.477 * [backup-simplify]: Simplify (+ 0 0) into 0
74.477 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
74.478 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
74.478 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
74.479 * [backup-simplify]: Simplify (- 0) into 0
74.479 * [backup-simplify]: Simplify (+ 0 0) into 0
74.480 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
74.480 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (- (* 2 (/ 1 lambda2)))) (* 0 1)) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
74.481 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2)
74.482 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.482 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2)))
74.482 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2))
74.483 * [taylor]: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2
74.483 * [taylor]: Taking taylor expansion of -2/3 in lambda2
74.483 * [backup-simplify]: Simplify -2/3 into -2/3
74.483 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2
74.483 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2
74.483 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2
74.483 * [taylor]: Taking taylor expansion of 1/3 in lambda2
74.483 * [backup-simplify]: Simplify 1/3 into 1/3
74.483 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2
74.483 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2
74.483 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
74.483 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
74.483 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
74.483 * [taylor]: Taking taylor expansion of 1/2 in lambda2
74.483 * [backup-simplify]: Simplify 1/2 into 1/2
74.483 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
74.483 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
74.483 * [taylor]: Taking taylor expansion of phi1 in lambda2
74.483 * [backup-simplify]: Simplify phi1 into phi1
74.483 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.483 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
74.483 * [taylor]: Taking taylor expansion of phi2 in lambda2
74.483 * [backup-simplify]: Simplify phi2 into phi2
74.483 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.483 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
74.483 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
74.484 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.484 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.484 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.484 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
74.484 * [backup-simplify]: Simplify (- 0) into 0
74.485 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.485 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.485 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.485 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2
74.485 * [taylor]: Taking taylor expansion of 2 in lambda2
74.485 * [backup-simplify]: Simplify 2 into 2
74.485 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2
74.485 * [taylor]: Taking taylor expansion of lambda1 in lambda2
74.485 * [backup-simplify]: Simplify lambda1 into lambda1
74.485 * [backup-simplify]: Simplify (log lambda1) into (log lambda1)
74.485 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
74.485 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
74.486 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.486 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.486 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.486 * [taylor]: Taking taylor expansion of lambda2 in lambda2
74.486 * [backup-simplify]: Simplify 0 into 0
74.486 * [backup-simplify]: Simplify 1 into 1
74.487 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.487 * [backup-simplify]: Simplify (+ 0) into 0
74.488 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
74.488 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
74.488 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
74.488 * [backup-simplify]: Simplify (+ 0 0) into 0
74.489 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
74.490 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
74.490 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
74.490 * [backup-simplify]: Simplify (- 0) into 0
74.491 * [backup-simplify]: Simplify (+ 0 0) into 0
74.491 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
74.492 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
74.493 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
74.493 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
74.494 * [backup-simplify]: Simplify (- 0) into 0
74.494 * [backup-simplify]: Simplify (+ 0 0) into 0
74.495 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
74.496 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
74.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0
74.498 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into 0
74.498 * [taylor]: Taking taylor expansion of 0 in phi1
74.498 * [backup-simplify]: Simplify 0 into 0
74.498 * [taylor]: Taking taylor expansion of 0 in phi2
74.498 * [backup-simplify]: Simplify 0 into 0
74.498 * [backup-simplify]: Simplify 0 into 0
74.498 * [backup-simplify]: Simplify (+ 0) into 0
74.499 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
74.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
74.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
74.499 * [backup-simplify]: Simplify (+ 0 0) into 0
74.500 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
74.500 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
74.501 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
74.501 * [backup-simplify]: Simplify (- 0) into 0
74.502 * [backup-simplify]: Simplify (+ 0 0) into 0
74.502 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
74.503 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
74.504 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
74.504 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
74.504 * [backup-simplify]: Simplify (- 0) into 0
74.505 * [backup-simplify]: Simplify (+ 0 0) into 0
74.505 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
74.507 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
74.507 * [taylor]: Taking taylor expansion of 0 in phi1
74.507 * [backup-simplify]: Simplify 0 into 0
74.507 * [taylor]: Taking taylor expansion of 0 in phi2
74.507 * [backup-simplify]: Simplify 0 into 0
74.507 * [backup-simplify]: Simplify 0 into 0
74.507 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
74.508 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
74.509 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
74.509 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
74.510 * [backup-simplify]: Simplify (- 0) into 0
74.510 * [backup-simplify]: Simplify (+ 0 0) into 0
74.511 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
74.512 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
74.512 * [taylor]: Taking taylor expansion of 0 in phi2
74.512 * [backup-simplify]: Simplify 0 into 0
74.512 * [backup-simplify]: Simplify 0 into 0
74.512 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
74.513 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
74.514 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
74.514 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
74.515 * [backup-simplify]: Simplify (- 0) into 0
74.515 * [backup-simplify]: Simplify (+ 0 0) into 0
74.516 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
74.517 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
74.517 * [backup-simplify]: Simplify 0 into 0
74.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
74.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
74.518 * [backup-simplify]: Simplify (- 0) into 0
74.518 * [backup-simplify]: Simplify (+ 0 0) into 0
74.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) (- (/ 1 lambda2))) (* 0 1))) into (/ 1 (pow lambda2 2))
74.519 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
74.520 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
74.520 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
74.520 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
74.520 * [backup-simplify]: Simplify (+ 0 0) into 0
74.521 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
74.521 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
74.522 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
74.522 * [backup-simplify]: Simplify (- 0) into 0
74.522 * [backup-simplify]: Simplify (+ 0 0) into 0
74.523 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
74.523 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 1 (pow lambda2 2))) (+ (* 0 (- (* 2 (/ 1 lambda2)))) (* 0 1))) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
74.524 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2))
74.524 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.524 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2))))
74.525 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)))
74.525 * [taylor]: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) in lambda2
74.525 * [taylor]: Taking taylor expansion of -1/9 in lambda2
74.525 * [backup-simplify]: Simplify -1/9 into -1/9
74.525 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)) in lambda2
74.525 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2
74.525 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2
74.525 * [taylor]: Taking taylor expansion of 1/3 in lambda2
74.525 * [backup-simplify]: Simplify 1/3 into 1/3
74.525 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2
74.525 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2
74.525 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
74.525 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
74.525 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
74.525 * [taylor]: Taking taylor expansion of 1/2 in lambda2
74.525 * [backup-simplify]: Simplify 1/2 into 1/2
74.525 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
74.525 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
74.525 * [taylor]: Taking taylor expansion of phi1 in lambda2
74.525 * [backup-simplify]: Simplify phi1 into phi1
74.525 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.525 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
74.525 * [taylor]: Taking taylor expansion of phi2 in lambda2
74.525 * [backup-simplify]: Simplify phi2 into phi2
74.525 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.525 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
74.525 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
74.525 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.526 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.526 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.526 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
74.526 * [backup-simplify]: Simplify (- 0) into 0
74.526 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.526 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.526 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.526 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2
74.526 * [taylor]: Taking taylor expansion of 2 in lambda2
74.526 * [backup-simplify]: Simplify 2 into 2
74.526 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2
74.526 * [taylor]: Taking taylor expansion of lambda1 in lambda2
74.526 * [backup-simplify]: Simplify lambda1 into lambda1
74.526 * [backup-simplify]: Simplify (log lambda1) into (log lambda1)
74.527 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
74.527 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
74.527 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.527 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.527 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.527 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2
74.527 * [taylor]: Taking taylor expansion of lambda2 in lambda2
74.527 * [backup-simplify]: Simplify 0 into 0
74.527 * [backup-simplify]: Simplify 1 into 1
74.527 * [backup-simplify]: Simplify (* 1 1) into 1
74.527 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.528 * [backup-simplify]: Simplify (+ 0) into 0
74.528 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
74.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
74.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
74.529 * [backup-simplify]: Simplify (+ 0 0) into 0
74.529 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
74.529 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
74.530 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
74.530 * [backup-simplify]: Simplify (- 0) into 0
74.530 * [backup-simplify]: Simplify (+ 0 0) into 0
74.530 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
74.531 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
74.531 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
74.532 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
74.532 * [backup-simplify]: Simplify (- 0) into 0
74.532 * [backup-simplify]: Simplify (+ 0 0) into 0
74.532 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
74.533 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
74.534 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
74.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
74.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
74.534 * [backup-simplify]: Simplify (+ 0 0) into 0
74.535 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
74.535 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
74.535 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
74.536 * [backup-simplify]: Simplify (- 0) into 0
74.536 * [backup-simplify]: Simplify (+ 0 0) into 0
74.536 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
74.537 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0
74.538 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0
74.539 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0
74.539 * [backup-simplify]: Simplify (- 0) into 0
74.540 * [backup-simplify]: Simplify (+ 0 0) into 0
74.540 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0
74.541 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
74.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
74.542 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
74.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
74.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0
74.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
74.545 * [backup-simplify]: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0
74.545 * [taylor]: Taking taylor expansion of 0 in phi1
74.545 * [backup-simplify]: Simplify 0 into 0
74.545 * [taylor]: Taking taylor expansion of 0 in phi2
74.545 * [backup-simplify]: Simplify 0 into 0
74.545 * [backup-simplify]: Simplify 0 into 0
74.546 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
74.546 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
74.546 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
74.546 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
74.547 * [backup-simplify]: Simplify (+ 0 0) into 0
74.547 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
74.548 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
74.548 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
74.548 * [backup-simplify]: Simplify (- 0) into 0
74.548 * [backup-simplify]: Simplify (+ 0 0) into 0
74.549 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
74.550 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0
74.551 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0
74.552 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0
74.552 * [backup-simplify]: Simplify (- 0) into 0
74.552 * [backup-simplify]: Simplify (+ 0 0) into 0
74.553 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0
74.554 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
74.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
74.555 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0
74.555 * [taylor]: Taking taylor expansion of 0 in phi1
74.555 * [backup-simplify]: Simplify 0 into 0
74.555 * [taylor]: Taking taylor expansion of 0 in phi2
74.555 * [backup-simplify]: Simplify 0 into 0
74.555 * [backup-simplify]: Simplify 0 into 0
74.556 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) 2)) (* 2 (log (/ 1 lambda1)))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ 1 lambda1))))))
74.556 * [backup-simplify]: Simplify (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3)
74.556 * [approximate]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in (lambda1 lambda2 phi1 phi2) around 0
74.556 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in phi2
74.556 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in phi2
74.556 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in phi2
74.556 * [taylor]: Taking taylor expansion of 1/3 in phi2
74.556 * [backup-simplify]: Simplify 1/3 into 1/3
74.556 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in phi2
74.556 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in phi2
74.556 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
74.556 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
74.556 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
74.556 * [taylor]: Taking taylor expansion of -1/2 in phi2
74.556 * [backup-simplify]: Simplify -1/2 into -1/2
74.556 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
74.556 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
74.556 * [taylor]: Taking taylor expansion of phi1 in phi2
74.556 * [backup-simplify]: Simplify phi1 into phi1
74.556 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.556 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
74.556 * [taylor]: Taking taylor expansion of phi2 in phi2
74.556 * [backup-simplify]: Simplify 0 into 0
74.556 * [backup-simplify]: Simplify 1 into 1
74.557 * [backup-simplify]: Simplify (/ 1 1) into 1
74.557 * [backup-simplify]: Simplify (+ 0 1) into 1
74.557 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
74.557 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.557 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in phi2
74.557 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2
74.557 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2
74.557 * [taylor]: Taking taylor expansion of lambda2 in phi2
74.557 * [backup-simplify]: Simplify lambda2 into lambda2
74.557 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
74.557 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2
74.557 * [taylor]: Taking taylor expansion of lambda1 in phi2
74.557 * [backup-simplify]: Simplify lambda1 into lambda1
74.558 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
74.558 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1))
74.558 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1))
74.558 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.558 * [backup-simplify]: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (- (/ 1 lambda2) (/ 1 lambda1))) into (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)
74.558 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))
74.558 * [backup-simplify]: Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))
74.558 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))
74.559 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3)
74.559 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in phi1
74.559 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in phi1
74.559 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in phi1
74.559 * [taylor]: Taking taylor expansion of 1/3 in phi1
74.559 * [backup-simplify]: Simplify 1/3 into 1/3
74.559 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in phi1
74.559 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in phi1
74.559 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
74.559 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
74.559 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
74.559 * [taylor]: Taking taylor expansion of -1/2 in phi1
74.559 * [backup-simplify]: Simplify -1/2 into -1/2
74.559 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
74.559 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
74.559 * [taylor]: Taking taylor expansion of phi1 in phi1
74.559 * [backup-simplify]: Simplify 0 into 0
74.559 * [backup-simplify]: Simplify 1 into 1
74.559 * [backup-simplify]: Simplify (/ 1 1) into 1
74.559 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
74.559 * [taylor]: Taking taylor expansion of phi2 in phi1
74.559 * [backup-simplify]: Simplify phi2 into phi2
74.559 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.560 * [backup-simplify]: Simplify (+ 1 0) into 1
74.560 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
74.560 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.560 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in phi1
74.560 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1
74.560 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1
74.560 * [taylor]: Taking taylor expansion of lambda2 in phi1
74.560 * [backup-simplify]: Simplify lambda2 into lambda2
74.560 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
74.560 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1
74.560 * [taylor]: Taking taylor expansion of lambda1 in phi1
74.560 * [backup-simplify]: Simplify lambda1 into lambda1
74.560 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
74.560 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1))
74.560 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1))
74.560 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.561 * [backup-simplify]: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (- (/ 1 lambda2) (/ 1 lambda1))) into (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)
74.561 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))
74.561 * [backup-simplify]: Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))
74.561 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))
74.561 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3)
74.561 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in lambda2
74.561 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in lambda2
74.561 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in lambda2
74.561 * [taylor]: Taking taylor expansion of 1/3 in lambda2
74.561 * [backup-simplify]: Simplify 1/3 into 1/3
74.561 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in lambda2
74.561 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda2
74.561 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
74.562 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
74.562 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
74.562 * [taylor]: Taking taylor expansion of -1/2 in lambda2
74.562 * [backup-simplify]: Simplify -1/2 into -1/2
74.562 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
74.562 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
74.562 * [taylor]: Taking taylor expansion of phi1 in lambda2
74.562 * [backup-simplify]: Simplify phi1 into phi1
74.562 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.562 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
74.562 * [taylor]: Taking taylor expansion of phi2 in lambda2
74.562 * [backup-simplify]: Simplify phi2 into phi2
74.562 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.562 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
74.562 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
74.562 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.562 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.562 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.562 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
74.563 * [backup-simplify]: Simplify (- 0) into 0
74.563 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.563 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda2
74.563 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2
74.563 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
74.563 * [taylor]: Taking taylor expansion of lambda2 in lambda2
74.563 * [backup-simplify]: Simplify 0 into 0
74.563 * [backup-simplify]: Simplify 1 into 1
74.564 * [backup-simplify]: Simplify (/ 1 1) into 1
74.564 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
74.564 * [taylor]: Taking taylor expansion of lambda1 in lambda2
74.564 * [backup-simplify]: Simplify lambda1 into lambda1
74.564 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
74.565 * [backup-simplify]: Simplify (+ 1 0) into 1
74.565 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.565 * [backup-simplify]: Simplify (* 1 1) into 1
74.565 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.565 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.566 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))
74.566 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))
74.566 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))))
74.566 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in lambda1
74.566 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in lambda1
74.566 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in lambda1
74.566 * [taylor]: Taking taylor expansion of 1/3 in lambda1
74.566 * [backup-simplify]: Simplify 1/3 into 1/3
74.566 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in lambda1
74.566 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda1
74.566 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
74.566 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
74.566 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
74.566 * [taylor]: Taking taylor expansion of -1/2 in lambda1
74.566 * [backup-simplify]: Simplify -1/2 into -1/2
74.566 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
74.566 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
74.566 * [taylor]: Taking taylor expansion of phi1 in lambda1
74.566 * [backup-simplify]: Simplify phi1 into phi1
74.567 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.567 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
74.567 * [taylor]: Taking taylor expansion of phi2 in lambda1
74.567 * [backup-simplify]: Simplify phi2 into phi2
74.567 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.567 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
74.567 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
74.567 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.567 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.567 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.567 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
74.567 * [backup-simplify]: Simplify (- 0) into 0
74.567 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.567 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda1
74.567 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1
74.567 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
74.567 * [taylor]: Taking taylor expansion of lambda2 in lambda1
74.568 * [backup-simplify]: Simplify lambda2 into lambda2
74.568 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
74.568 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
74.568 * [taylor]: Taking taylor expansion of lambda1 in lambda1
74.568 * [backup-simplify]: Simplify 0 into 0
74.568 * [backup-simplify]: Simplify 1 into 1
74.568 * [backup-simplify]: Simplify (/ 1 1) into 1
74.568 * [backup-simplify]: Simplify (- 1) into -1
74.568 * [backup-simplify]: Simplify (+ 0 -1) into -1
74.569 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.569 * [backup-simplify]: Simplify (* -1 -1) into 1
74.569 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.569 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.569 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.570 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.570 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.570 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in lambda1
74.570 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in lambda1
74.570 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in lambda1
74.570 * [taylor]: Taking taylor expansion of 1/3 in lambda1
74.570 * [backup-simplify]: Simplify 1/3 into 1/3
74.570 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in lambda1
74.570 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda1
74.570 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
74.570 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
74.570 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
74.570 * [taylor]: Taking taylor expansion of -1/2 in lambda1
74.570 * [backup-simplify]: Simplify -1/2 into -1/2
74.570 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
74.570 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
74.570 * [taylor]: Taking taylor expansion of phi1 in lambda1
74.570 * [backup-simplify]: Simplify phi1 into phi1
74.570 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.570 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
74.570 * [taylor]: Taking taylor expansion of phi2 in lambda1
74.570 * [backup-simplify]: Simplify phi2 into phi2
74.570 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.570 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
74.570 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
74.570 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.570 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.571 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.571 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
74.571 * [backup-simplify]: Simplify (- 0) into 0
74.571 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.571 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda1
74.571 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1
74.571 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
74.571 * [taylor]: Taking taylor expansion of lambda2 in lambda1
74.571 * [backup-simplify]: Simplify lambda2 into lambda2
74.571 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
74.571 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
74.571 * [taylor]: Taking taylor expansion of lambda1 in lambda1
74.571 * [backup-simplify]: Simplify 0 into 0
74.571 * [backup-simplify]: Simplify 1 into 1
74.572 * [backup-simplify]: Simplify (/ 1 1) into 1
74.572 * [backup-simplify]: Simplify (- 1) into -1
74.572 * [backup-simplify]: Simplify (+ 0 -1) into -1
74.572 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.572 * [backup-simplify]: Simplify (* -1 -1) into 1
74.573 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.573 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.573 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.573 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.573 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.574 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2
74.574 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2
74.574 * [taylor]: Taking taylor expansion of 1/3 in lambda2
74.574 * [backup-simplify]: Simplify 1/3 into 1/3
74.574 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2
74.574 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2
74.574 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
74.574 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
74.574 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
74.574 * [taylor]: Taking taylor expansion of -1/2 in lambda2
74.574 * [backup-simplify]: Simplify -1/2 into -1/2
74.574 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
74.574 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
74.574 * [taylor]: Taking taylor expansion of phi1 in lambda2
74.574 * [backup-simplify]: Simplify phi1 into phi1
74.574 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.574 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
74.574 * [taylor]: Taking taylor expansion of phi2 in lambda2
74.574 * [backup-simplify]: Simplify phi2 into phi2
74.574 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.574 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
74.574 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
74.574 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.574 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.574 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.574 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
74.575 * [backup-simplify]: Simplify (- 0) into 0
74.575 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.575 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.575 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.575 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2
74.575 * [taylor]: Taking taylor expansion of 2 in lambda2
74.575 * [backup-simplify]: Simplify 2 into 2
74.575 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2
74.575 * [taylor]: Taking taylor expansion of lambda1 in lambda2
74.575 * [backup-simplify]: Simplify lambda1 into lambda1
74.575 * [backup-simplify]: Simplify (log lambda1) into (log lambda1)
74.575 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
74.575 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
74.575 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.576 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.576 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.576 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1
74.576 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1
74.576 * [taylor]: Taking taylor expansion of 1/3 in phi1
74.576 * [backup-simplify]: Simplify 1/3 into 1/3
74.576 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1
74.576 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1
74.576 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
74.576 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
74.576 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
74.576 * [taylor]: Taking taylor expansion of -1/2 in phi1
74.576 * [backup-simplify]: Simplify -1/2 into -1/2
74.576 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
74.576 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
74.576 * [taylor]: Taking taylor expansion of phi1 in phi1
74.576 * [backup-simplify]: Simplify 0 into 0
74.576 * [backup-simplify]: Simplify 1 into 1
74.576 * [backup-simplify]: Simplify (/ 1 1) into 1
74.576 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
74.576 * [taylor]: Taking taylor expansion of phi2 in phi1
74.576 * [backup-simplify]: Simplify phi2 into phi2
74.576 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.577 * [backup-simplify]: Simplify (+ 1 0) into 1
74.577 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
74.577 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.577 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.577 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.577 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1
74.577 * [taylor]: Taking taylor expansion of 2 in phi1
74.577 * [backup-simplify]: Simplify 2 into 2
74.577 * [taylor]: Taking taylor expansion of (log lambda1) in phi1
74.577 * [taylor]: Taking taylor expansion of lambda1 in phi1
74.577 * [backup-simplify]: Simplify lambda1 into lambda1
74.577 * [backup-simplify]: Simplify (log lambda1) into (log lambda1)
74.577 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
74.578 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
74.578 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.578 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.578 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.578 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2
74.578 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2
74.578 * [taylor]: Taking taylor expansion of 1/3 in phi2
74.578 * [backup-simplify]: Simplify 1/3 into 1/3
74.578 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2
74.578 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2
74.578 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
74.578 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
74.578 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
74.578 * [taylor]: Taking taylor expansion of -1/2 in phi2
74.578 * [backup-simplify]: Simplify -1/2 into -1/2
74.578 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
74.578 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
74.578 * [taylor]: Taking taylor expansion of phi1 in phi2
74.578 * [backup-simplify]: Simplify phi1 into phi1
74.578 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.578 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
74.578 * [taylor]: Taking taylor expansion of phi2 in phi2
74.578 * [backup-simplify]: Simplify 0 into 0
74.578 * [backup-simplify]: Simplify 1 into 1
74.579 * [backup-simplify]: Simplify (/ 1 1) into 1
74.579 * [backup-simplify]: Simplify (+ 0 1) into 1
74.579 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
74.579 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.580 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.580 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.580 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi2
74.580 * [taylor]: Taking taylor expansion of 2 in phi2
74.580 * [backup-simplify]: Simplify 2 into 2
74.580 * [taylor]: Taking taylor expansion of (log lambda1) in phi2
74.580 * [taylor]: Taking taylor expansion of lambda1 in phi2
74.580 * [backup-simplify]: Simplify lambda1 into lambda1
74.580 * [backup-simplify]: Simplify (log lambda1) into (log lambda1)
74.580 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
74.580 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
74.580 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.581 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.581 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.581 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
74.582 * [backup-simplify]: Simplify (- 0) into 0
74.583 * [backup-simplify]: Simplify (+ (/ 1 lambda2) 0) into (/ 1 lambda2)
74.583 * [backup-simplify]: Simplify (+ (* -1 (/ 1 lambda2)) (* (/ 1 lambda2) -1)) into (- (* 2 (/ 1 lambda2)))
74.583 * [backup-simplify]: Simplify (+ 0) into 0
74.584 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
74.584 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
74.584 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
74.584 * [backup-simplify]: Simplify (+ 0 0) into 0
74.585 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
74.586 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
74.586 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
74.586 * [backup-simplify]: Simplify (- 0) into 0
74.587 * [backup-simplify]: Simplify (+ 0 0) into 0
74.587 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
74.588 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (- (* 2 (/ 1 lambda2)))) (* 0 1)) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
74.588 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2)
74.589 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.589 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2)))
74.590 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2))
74.590 * [taylor]: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2
74.590 * [taylor]: Taking taylor expansion of -2/3 in lambda2
74.590 * [backup-simplify]: Simplify -2/3 into -2/3
74.590 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2
74.590 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2
74.590 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2
74.590 * [taylor]: Taking taylor expansion of 1/3 in lambda2
74.590 * [backup-simplify]: Simplify 1/3 into 1/3
74.590 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2
74.590 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2
74.590 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
74.590 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
74.590 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
74.590 * [taylor]: Taking taylor expansion of -1/2 in lambda2
74.590 * [backup-simplify]: Simplify -1/2 into -1/2
74.590 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
74.590 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
74.590 * [taylor]: Taking taylor expansion of phi1 in lambda2
74.591 * [backup-simplify]: Simplify phi1 into phi1
74.591 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.591 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
74.591 * [taylor]: Taking taylor expansion of phi2 in lambda2
74.591 * [backup-simplify]: Simplify phi2 into phi2
74.591 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.591 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
74.591 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
74.592 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.592 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.592 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.592 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
74.593 * [backup-simplify]: Simplify (- 0) into 0
74.593 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.593 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.593 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.593 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2
74.593 * [taylor]: Taking taylor expansion of 2 in lambda2
74.593 * [backup-simplify]: Simplify 2 into 2
74.593 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2
74.593 * [taylor]: Taking taylor expansion of lambda1 in lambda2
74.593 * [backup-simplify]: Simplify lambda1 into lambda1
74.593 * [backup-simplify]: Simplify (log lambda1) into (log lambda1)
74.594 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
74.594 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
74.594 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.594 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.594 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.594 * [taylor]: Taking taylor expansion of lambda2 in lambda2
74.594 * [backup-simplify]: Simplify 0 into 0
74.595 * [backup-simplify]: Simplify 1 into 1
74.595 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.595 * [backup-simplify]: Simplify (+ 0) into 0
74.596 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
74.596 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
74.596 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
74.597 * [backup-simplify]: Simplify (+ 0 0) into 0
74.597 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
74.598 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
74.598 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
74.599 * [backup-simplify]: Simplify (- 0) into 0
74.599 * [backup-simplify]: Simplify (+ 0 0) into 0
74.600 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
74.600 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
74.601 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
74.602 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
74.602 * [backup-simplify]: Simplify (- 0) into 0
74.602 * [backup-simplify]: Simplify (+ 0 0) into 0
74.603 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
74.604 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
74.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0
74.606 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into 0
74.606 * [taylor]: Taking taylor expansion of 0 in phi1
74.606 * [backup-simplify]: Simplify 0 into 0
74.606 * [taylor]: Taking taylor expansion of 0 in phi2
74.606 * [backup-simplify]: Simplify 0 into 0
74.606 * [backup-simplify]: Simplify 0 into 0
74.606 * [backup-simplify]: Simplify (+ 0) into 0
74.607 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
74.607 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
74.607 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
74.608 * [backup-simplify]: Simplify (+ 0 0) into 0
74.608 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
74.609 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
74.609 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
74.610 * [backup-simplify]: Simplify (- 0) into 0
74.610 * [backup-simplify]: Simplify (+ 0 0) into 0
74.611 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
74.612 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
74.612 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
74.613 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
74.613 * [backup-simplify]: Simplify (- 0) into 0
74.614 * [backup-simplify]: Simplify (+ 0 0) into 0
74.614 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
74.615 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
74.615 * [taylor]: Taking taylor expansion of 0 in phi1
74.616 * [backup-simplify]: Simplify 0 into 0
74.616 * [taylor]: Taking taylor expansion of 0 in phi2
74.616 * [backup-simplify]: Simplify 0 into 0
74.616 * [backup-simplify]: Simplify 0 into 0
74.616 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
74.617 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
74.618 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
74.618 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
74.618 * [backup-simplify]: Simplify (- 0) into 0
74.619 * [backup-simplify]: Simplify (+ 0 0) into 0
74.619 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
74.620 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
74.620 * [taylor]: Taking taylor expansion of 0 in phi2
74.621 * [backup-simplify]: Simplify 0 into 0
74.621 * [backup-simplify]: Simplify 0 into 0
74.621 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
74.622 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
74.622 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
74.623 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
74.623 * [backup-simplify]: Simplify (- 0) into 0
74.624 * [backup-simplify]: Simplify (+ 0 0) into 0
74.624 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
74.626 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
74.626 * [backup-simplify]: Simplify 0 into 0
74.626 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
74.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
74.627 * [backup-simplify]: Simplify (- 0) into 0
74.627 * [backup-simplify]: Simplify (+ 0 0) into 0
74.628 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) (/ 1 lambda2)) (* 0 -1))) into (/ 1 (pow lambda2 2))
74.629 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
74.630 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
74.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
74.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
74.631 * [backup-simplify]: Simplify (+ 0 0) into 0
74.631 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
74.632 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
74.633 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
74.633 * [backup-simplify]: Simplify (- 0) into 0
74.634 * [backup-simplify]: Simplify (+ 0 0) into 0
74.634 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
74.635 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 1 (pow lambda2 2))) (+ (* 0 (- (* 2 (/ 1 lambda2)))) (* 0 1))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
74.636 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2))
74.637 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.637 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2))))
74.638 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)))
74.638 * [taylor]: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) in lambda2
74.638 * [taylor]: Taking taylor expansion of -1/9 in lambda2
74.638 * [backup-simplify]: Simplify -1/9 into -1/9
74.638 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)) in lambda2
74.638 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2
74.638 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2
74.638 * [taylor]: Taking taylor expansion of 1/3 in lambda2
74.638 * [backup-simplify]: Simplify 1/3 into 1/3
74.638 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2
74.638 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2
74.638 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
74.638 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
74.638 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
74.638 * [taylor]: Taking taylor expansion of -1/2 in lambda2
74.638 * [backup-simplify]: Simplify -1/2 into -1/2
74.638 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
74.638 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
74.638 * [taylor]: Taking taylor expansion of phi1 in lambda2
74.638 * [backup-simplify]: Simplify phi1 into phi1
74.638 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.638 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
74.638 * [taylor]: Taking taylor expansion of phi2 in lambda2
74.638 * [backup-simplify]: Simplify phi2 into phi2
74.638 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.638 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
74.638 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
74.638 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.639 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.639 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.639 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
74.639 * [backup-simplify]: Simplify (- 0) into 0
74.639 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.640 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.640 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.640 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2
74.640 * [taylor]: Taking taylor expansion of 2 in lambda2
74.640 * [backup-simplify]: Simplify 2 into 2
74.640 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2
74.640 * [taylor]: Taking taylor expansion of lambda1 in lambda2
74.640 * [backup-simplify]: Simplify lambda1 into lambda1
74.640 * [backup-simplify]: Simplify (log lambda1) into (log lambda1)
74.640 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
74.640 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
74.640 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.640 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.640 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.640 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2
74.640 * [taylor]: Taking taylor expansion of lambda2 in lambda2
74.640 * [backup-simplify]: Simplify 0 into 0
74.640 * [backup-simplify]: Simplify 1 into 1
74.641 * [backup-simplify]: Simplify (* 1 1) into 1
74.641 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.641 * [backup-simplify]: Simplify (+ 0) into 0
74.642 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
74.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
74.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
74.642 * [backup-simplify]: Simplify (+ 0 0) into 0
74.642 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
74.643 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
74.643 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
74.643 * [backup-simplify]: Simplify (- 0) into 0
74.644 * [backup-simplify]: Simplify (+ 0 0) into 0
74.644 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
74.644 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
74.645 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
74.645 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
74.645 * [backup-simplify]: Simplify (- 0) into 0
74.646 * [backup-simplify]: Simplify (+ 0 0) into 0
74.646 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
74.647 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
74.647 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
74.647 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
74.647 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
74.648 * [backup-simplify]: Simplify (+ 0 0) into 0
74.648 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
74.649 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
74.649 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
74.649 * [backup-simplify]: Simplify (- 0) into 0
74.650 * [backup-simplify]: Simplify (+ 0 0) into 0
74.650 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
74.651 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0
74.652 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0
74.653 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0
74.653 * [backup-simplify]: Simplify (- 0) into 0
74.653 * [backup-simplify]: Simplify (+ 0 0) into 0
74.654 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0
74.655 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
74.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
74.656 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
74.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
74.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0
74.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
74.659 * [backup-simplify]: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0
74.659 * [taylor]: Taking taylor expansion of 0 in phi1
74.659 * [backup-simplify]: Simplify 0 into 0
74.659 * [taylor]: Taking taylor expansion of 0 in phi2
74.659 * [backup-simplify]: Simplify 0 into 0
74.659 * [backup-simplify]: Simplify 0 into 0
74.659 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
74.660 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
74.660 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
74.660 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
74.660 * [backup-simplify]: Simplify (+ 0 0) into 0
74.661 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
74.661 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
74.662 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
74.662 * [backup-simplify]: Simplify (- 0) into 0
74.662 * [backup-simplify]: Simplify (+ 0 0) into 0
74.663 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
74.664 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0
74.665 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0
74.666 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0
74.666 * [backup-simplify]: Simplify (- 0) into 0
74.666 * [backup-simplify]: Simplify (+ 0 0) into 0
74.667 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0
74.668 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
74.669 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
74.669 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0
74.669 * [taylor]: Taking taylor expansion of 0 in phi1
74.669 * [backup-simplify]: Simplify 0 into 0
74.669 * [taylor]: Taking taylor expansion of 0 in phi2
74.669 * [backup-simplify]: Simplify 0 into 0
74.669 * [backup-simplify]: Simplify 0 into 0
74.670 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) 2)) (* 2 (log (/ 1 (- lambda1))))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ -1 lambda1))))))
74.670 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 1)
74.670 * [backup-simplify]: Simplify (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) into (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3)
74.670 * [approximate]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in (lambda1 lambda2 phi1 phi2) around 0
74.670 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in phi2
74.670 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in phi2
74.670 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in phi2
74.670 * [taylor]: Taking taylor expansion of 1/3 in phi2
74.670 * [backup-simplify]: Simplify 1/3 into 1/3
74.670 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in phi2
74.670 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2
74.670 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2
74.670 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2
74.670 * [taylor]: Taking taylor expansion of lambda1 in phi2
74.671 * [backup-simplify]: Simplify lambda1 into lambda1
74.671 * [taylor]: Taking taylor expansion of lambda2 in phi2
74.671 * [backup-simplify]: Simplify lambda2 into lambda2
74.671 * [backup-simplify]: Simplify (- lambda2) into (- lambda2)
74.671 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
74.671 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2
74.671 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2
74.671 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2
74.671 * [taylor]: Taking taylor expansion of 1/2 in phi2
74.671 * [backup-simplify]: Simplify 1/2 into 1/2
74.671 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi2
74.671 * [taylor]: Taking taylor expansion of phi1 in phi2
74.671 * [backup-simplify]: Simplify phi1 into phi1
74.671 * [taylor]: Taking taylor expansion of phi2 in phi2
74.671 * [backup-simplify]: Simplify 0 into 0
74.671 * [backup-simplify]: Simplify 1 into 1
74.671 * [backup-simplify]: Simplify (+ phi1 0) into phi1
74.671 * [backup-simplify]: Simplify (* 1/2 phi1) into (* 1/2 phi1)
74.671 * [backup-simplify]: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1))
74.671 * [backup-simplify]: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1))
74.671 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1))
74.671 * [backup-simplify]: Simplify (* (sin (* 1/2 phi1)) 0) into 0
74.672 * [backup-simplify]: Simplify (- 0) into 0
74.672 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1))
74.672 * [backup-simplify]: Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
74.672 * [backup-simplify]: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2)
74.672 * [backup-simplify]: Simplify (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) into (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))
74.673 * [backup-simplify]: Simplify (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))) into (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)))
74.673 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)))) into (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))))
74.673 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))))) into (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 1/3)
74.673 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in phi1
74.673 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in phi1
74.673 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in phi1
74.673 * [taylor]: Taking taylor expansion of 1/3 in phi1
74.673 * [backup-simplify]: Simplify 1/3 into 1/3
74.673 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in phi1
74.673 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1
74.673 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi1
74.673 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi1
74.673 * [taylor]: Taking taylor expansion of lambda1 in phi1
74.673 * [backup-simplify]: Simplify lambda1 into lambda1
74.673 * [taylor]: Taking taylor expansion of lambda2 in phi1
74.673 * [backup-simplify]: Simplify lambda2 into lambda2
74.673 * [backup-simplify]: Simplify (- lambda2) into (- lambda2)
74.673 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2)
74.674 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1
74.674 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1
74.674 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1
74.674 * [taylor]: Taking taylor expansion of 1/2 in phi1
74.674 * [backup-simplify]: Simplify 1/2 into 1/2
74.674 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1
74.674 * [taylor]: Taking taylor expansion of phi1 in phi1
74.674 * [backup-simplify]: Simplify 0 into 0
74.674 * [backup-simplify]: Simplify 1 into 1
74.674 * [taylor]: Taking taylor expansion of phi2 in phi1
74.674 * [backup-simplify]: Simplify phi2 into phi2
74.674 * [backup-simplify]: Simplify (+ 0 phi2) into phi2
74.674 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2)
74.674 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
74.674 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
74.674 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
74.674 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0
74.674 * [backup-simplify]: Simplify (- 0) into 0
74.674 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
74.674 * [backup-simplify]: Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2)
74.674 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2)
74.675 * [backup-simplify]: Simplify (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))
74.675 * [backup-simplify]: Simplify (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) into (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))
74.675 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))
74.675 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) into (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3)
74.675 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda2
74.675 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda2
74.675 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda2
74.675 * [taylor]: Taking taylor expansion of 1/3 in lambda2
74.675 * [backup-simplify]: Simplify 1/3 into 1/3
74.675 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda2
74.675 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2
74.675 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda2
74.675 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2
74.675 * [taylor]: Taking taylor expansion of lambda1 in lambda2
74.675 * [backup-simplify]: Simplify lambda1 into lambda1
74.675 * [taylor]: Taking taylor expansion of lambda2 in lambda2
74.675 * [backup-simplify]: Simplify 0 into 0
74.675 * [backup-simplify]: Simplify 1 into 1
74.675 * [backup-simplify]: Simplify (- 0) into 0
74.675 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1
74.676 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
74.676 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
74.676 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
74.676 * [taylor]: Taking taylor expansion of 1/2 in lambda2
74.676 * [backup-simplify]: Simplify 1/2 into 1/2
74.676 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2
74.676 * [taylor]: Taking taylor expansion of phi1 in lambda2
74.676 * [backup-simplify]: Simplify phi1 into phi1
74.676 * [taylor]: Taking taylor expansion of phi2 in lambda2
74.676 * [backup-simplify]: Simplify phi2 into phi2
74.676 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
74.676 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
74.676 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
74.676 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
74.676 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
74.676 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
74.676 * [backup-simplify]: Simplify (- 0) into 0
74.676 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
74.676 * [backup-simplify]: Simplify (* lambda1 lambda1) into (pow lambda1 2)
74.676 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
74.677 * [backup-simplify]: Simplify (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))
74.677 * [backup-simplify]: Simplify (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))) into (log (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
74.677 * [backup-simplify]: Simplify (* 1/3 (log (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))
74.677 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))) into (pow (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3)
74.677 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda1
74.677 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda1
74.677 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda1
74.677 * [taylor]: Taking taylor expansion of 1/3 in lambda1
74.677 * [backup-simplify]: Simplify 1/3 into 1/3
74.677 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda1
74.677 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1
74.677 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1
74.677 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1
74.677 * [taylor]: Taking taylor expansion of lambda1 in lambda1
74.677 * [backup-simplify]: Simplify 0 into 0
74.677 * [backup-simplify]: Simplify 1 into 1
74.677 * [taylor]: Taking taylor expansion of lambda2 in lambda1
74.677 * [backup-simplify]: Simplify lambda2 into lambda2
74.677 * [backup-simplify]: Simplify (- lambda2) into (- lambda2)
74.677 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2)
74.677 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1
74.677 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1
74.677 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1
74.677 * [taylor]: Taking taylor expansion of 1/2 in lambda1
74.677 * [backup-simplify]: Simplify 1/2 into 1/2
74.677 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1
74.677 * [taylor]: Taking taylor expansion of phi1 in lambda1
74.677 * [backup-simplify]: Simplify phi1 into phi1
74.677 * [taylor]: Taking taylor expansion of phi2 in lambda1
74.677 * [backup-simplify]: Simplify phi2 into phi2
74.677 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
74.677 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
74.678 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
74.678 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
74.678 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
74.678 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
74.680 * [backup-simplify]: Simplify (- 0) into 0
74.680 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
74.680 * [backup-simplify]: Simplify (* (- lambda2) (- lambda2)) into (pow lambda2 2)
74.680 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
74.680 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))
74.680 * [backup-simplify]: Simplify (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
74.680 * [backup-simplify]: Simplify (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
74.680 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3)
74.680 * [taylor]: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda1
74.680 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda1
74.681 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda1
74.681 * [taylor]: Taking taylor expansion of 1/3 in lambda1
74.681 * [backup-simplify]: Simplify 1/3 into 1/3
74.681 * [taylor]: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda1
74.681 * [taylor]: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1
74.681 * [taylor]: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1
74.681 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1
74.681 * [taylor]: Taking taylor expansion of lambda1 in lambda1
74.681 * [backup-simplify]: Simplify 0 into 0
74.681 * [backup-simplify]: Simplify 1 into 1
74.681 * [taylor]: Taking taylor expansion of lambda2 in lambda1
74.681 * [backup-simplify]: Simplify lambda2 into lambda2
74.681 * [backup-simplify]: Simplify (- lambda2) into (- lambda2)
74.681 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2)
74.681 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1
74.681 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1
74.681 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1
74.681 * [taylor]: Taking taylor expansion of 1/2 in lambda1
74.681 * [backup-simplify]: Simplify 1/2 into 1/2
74.681 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda1
74.681 * [taylor]: Taking taylor expansion of phi1 in lambda1
74.681 * [backup-simplify]: Simplify phi1 into phi1
74.681 * [taylor]: Taking taylor expansion of phi2 in lambda1
74.681 * [backup-simplify]: Simplify phi2 into phi2
74.681 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
74.681 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
74.681 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
74.681 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
74.681 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
74.681 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
74.682 * [backup-simplify]: Simplify (- 0) into 0
74.682 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
74.682 * [backup-simplify]: Simplify (* (- lambda2) (- lambda2)) into (pow lambda2 2)
74.682 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
74.682 * [backup-simplify]: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))
74.682 * [backup-simplify]: Simplify (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))
74.682 * [backup-simplify]: Simplify (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
74.682 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3)
74.682 * [taylor]: Taking taylor expansion of (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda2
74.682 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda2
74.683 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda2
74.683 * [taylor]: Taking taylor expansion of 1/3 in lambda2
74.683 * [backup-simplify]: Simplify 1/3 into 1/3
74.683 * [taylor]: Taking taylor expansion of (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda2
74.683 * [taylor]: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2
74.683 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2
74.683 * [taylor]: Taking taylor expansion of lambda2 in lambda2
74.683 * [backup-simplify]: Simplify 0 into 0
74.683 * [backup-simplify]: Simplify 1 into 1
74.683 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
74.683 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
74.683 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
74.683 * [taylor]: Taking taylor expansion of 1/2 in lambda2
74.683 * [backup-simplify]: Simplify 1/2 into 1/2
74.683 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2
74.683 * [taylor]: Taking taylor expansion of phi1 in lambda2
74.683 * [backup-simplify]: Simplify phi1 into phi1
74.683 * [taylor]: Taking taylor expansion of phi2 in lambda2
74.683 * [backup-simplify]: Simplify phi2 into phi2
74.683 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
74.683 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
74.683 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
74.683 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
74.683 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
74.683 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
74.683 * [backup-simplify]: Simplify (- 0) into 0
74.683 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
74.684 * [backup-simplify]: Simplify (* 1 1) into 1
74.684 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
74.684 * [backup-simplify]: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
74.684 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))
74.684 * [backup-simplify]: Simplify (+ (* (- -2) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))
74.685 * [backup-simplify]: Simplify (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))) into (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))
74.685 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))))
74.685 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) in phi1
74.685 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))) in phi1
74.685 * [taylor]: Taking taylor expansion of 1/3 in phi1
74.685 * [backup-simplify]: Simplify 1/3 into 1/3
74.685 * [taylor]: Taking taylor expansion of (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))) in phi1
74.685 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1
74.685 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1
74.685 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1
74.685 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1
74.685 * [taylor]: Taking taylor expansion of 1/2 in phi1
74.685 * [backup-simplify]: Simplify 1/2 into 1/2
74.685 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1
74.685 * [taylor]: Taking taylor expansion of phi1 in phi1
74.685 * [backup-simplify]: Simplify 0 into 0
74.685 * [backup-simplify]: Simplify 1 into 1
74.685 * [taylor]: Taking taylor expansion of phi2 in phi1
74.685 * [backup-simplify]: Simplify phi2 into phi2
74.685 * [backup-simplify]: Simplify (+ 0 phi2) into phi2
74.685 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2)
74.685 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
74.685 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
74.685 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
74.685 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0
74.685 * [backup-simplify]: Simplify (- 0) into 0
74.686 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
74.686 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2)
74.686 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2))
74.686 * [taylor]: Taking taylor expansion of (* 2 (log lambda2)) in phi1
74.686 * [taylor]: Taking taylor expansion of 2 in phi1
74.686 * [backup-simplify]: Simplify 2 into 2
74.686 * [taylor]: Taking taylor expansion of (log lambda2) in phi1
74.686 * [taylor]: Taking taylor expansion of lambda2 in phi1
74.686 * [backup-simplify]: Simplify lambda2 into lambda2
74.686 * [backup-simplify]: Simplify (log lambda2) into (log lambda2)
74.686 * [backup-simplify]: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2))
74.686 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) into (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))
74.686 * [backup-simplify]: Simplify (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) into (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))
74.686 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))
74.686 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) in phi2
74.686 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) in phi2
74.686 * [taylor]: Taking taylor expansion of 1/3 in phi2
74.686 * [backup-simplify]: Simplify 1/3 into 1/3
74.686 * [taylor]: Taking taylor expansion of (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) in phi2
74.686 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2
74.686 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
74.686 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
74.686 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2
74.686 * [taylor]: Taking taylor expansion of 1/2 in phi2
74.686 * [backup-simplify]: Simplify 1/2 into 1/2
74.686 * [taylor]: Taking taylor expansion of phi2 in phi2
74.686 * [backup-simplify]: Simplify 0 into 0
74.686 * [backup-simplify]: Simplify 1 into 1
74.687 * [backup-simplify]: Simplify (* 1/2 0) into 0
74.687 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
74.687 * [backup-simplify]: Simplify (* 1 1) into 1
74.688 * [backup-simplify]: Simplify (log 1) into 0
74.688 * [taylor]: Taking taylor expansion of (* 2 (log lambda2)) in phi2
74.688 * [taylor]: Taking taylor expansion of 2 in phi2
74.688 * [backup-simplify]: Simplify 2 into 2
74.688 * [taylor]: Taking taylor expansion of (log lambda2) in phi2
74.688 * [taylor]: Taking taylor expansion of lambda2 in phi2
74.688 * [backup-simplify]: Simplify lambda2 into lambda2
74.688 * [backup-simplify]: Simplify (log lambda2) into (log lambda2)
74.688 * [backup-simplify]: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2))
74.688 * [backup-simplify]: Simplify (+ 0 (* 2 (log lambda2))) into (* 2 (log lambda2))
74.688 * [backup-simplify]: Simplify (* 1/3 (* 2 (log lambda2))) into (* 2/3 (log lambda2))
74.688 * [backup-simplify]: Simplify (exp (* 2/3 (log lambda2))) into (pow lambda2 2/3)
74.688 * [backup-simplify]: Simplify (pow lambda2 2/3) into (pow lambda2 2/3)
74.688 * [backup-simplify]: Simplify (+ 0) into 0
74.689 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
74.689 * [backup-simplify]: Simplify (+ 0 0) into 0
74.689 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0
74.690 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
74.690 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
74.690 * [backup-simplify]: Simplify (- 0) into 0
74.691 * [backup-simplify]: Simplify (+ 0 0) into 0
74.691 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0
74.691 * [backup-simplify]: Simplify (- 0) into 0
74.691 * [backup-simplify]: Simplify (+ 1 0) into 1
74.691 * [backup-simplify]: Simplify (+ (* (- lambda2) 1) (* 1 (- lambda2))) into (- (* 2 lambda2))
74.692 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (* (- (* 2 lambda2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))
74.692 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 1)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)))) 1) into (/ -2 lambda2)
74.692 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2/3 (/ 1 lambda2)))
74.692 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3))
74.692 * [taylor]: Taking taylor expansion of (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3)) in lambda2
74.692 * [taylor]: Taking taylor expansion of -2/3 in lambda2
74.692 * [backup-simplify]: Simplify -2/3 into -2/3
74.692 * [taylor]: Taking taylor expansion of (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3) in lambda2
74.692 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)))) in lambda2
74.692 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) in lambda2
74.693 * [taylor]: Taking taylor expansion of 1/3 in lambda2
74.693 * [backup-simplify]: Simplify 1/3 into 1/3
74.693 * [taylor]: Taking taylor expansion of (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)) in lambda2
74.693 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) in lambda2
74.693 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
74.693 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
74.693 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
74.693 * [taylor]: Taking taylor expansion of 1/2 in lambda2
74.693 * [backup-simplify]: Simplify 1/2 into 1/2
74.693 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2
74.693 * [taylor]: Taking taylor expansion of phi1 in lambda2
74.693 * [backup-simplify]: Simplify phi1 into phi1
74.693 * [taylor]: Taking taylor expansion of phi2 in lambda2
74.693 * [backup-simplify]: Simplify phi2 into phi2
74.693 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
74.693 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
74.693 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
74.693 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
74.693 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
74.693 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
74.693 * [backup-simplify]: Simplify (- 0) into 0
74.693 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
74.693 * [taylor]: Taking taylor expansion of lambda2 in lambda2
74.693 * [backup-simplify]: Simplify 0 into 0
74.693 * [backup-simplify]: Simplify 1 into 1
74.694 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
74.694 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
74.694 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))
74.694 * [backup-simplify]: Simplify (+ (* (- 1) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))
74.694 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))
74.694 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))
74.694 * [backup-simplify]: Simplify (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) into (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))))
74.694 * [taylor]: Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) in phi1
74.695 * [taylor]: Taking taylor expansion of -2/3 in phi1
74.695 * [backup-simplify]: Simplify -2/3 into -2/3
74.695 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) in phi1
74.695 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) in phi1
74.695 * [taylor]: Taking taylor expansion of 1/3 in phi1
74.695 * [backup-simplify]: Simplify 1/3 into 1/3
74.695 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)) in phi1
74.695 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1
74.695 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1
74.695 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1
74.695 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1
74.695 * [taylor]: Taking taylor expansion of 1/2 in phi1
74.695 * [backup-simplify]: Simplify 1/2 into 1/2
74.695 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1
74.695 * [taylor]: Taking taylor expansion of phi1 in phi1
74.695 * [backup-simplify]: Simplify 0 into 0
74.695 * [backup-simplify]: Simplify 1 into 1
74.695 * [taylor]: Taking taylor expansion of phi2 in phi1
74.695 * [backup-simplify]: Simplify phi2 into phi2
74.695 * [backup-simplify]: Simplify (+ 0 phi2) into phi2
74.695 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2)
74.695 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
74.695 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
74.695 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
74.695 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0
74.695 * [backup-simplify]: Simplify (- 0) into 0
74.695 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
74.695 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2)
74.696 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2))
74.696 * [taylor]: Taking taylor expansion of (log lambda2) in phi1
74.696 * [taylor]: Taking taylor expansion of lambda2 in phi1
74.696 * [backup-simplify]: Simplify lambda2 into lambda2
74.696 * [backup-simplify]: Simplify (log lambda2) into (log lambda2)
74.696 * [backup-simplify]: Simplify (- (log lambda2)) into (- (log lambda2))
74.696 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 phi2)) 2)) (- (log lambda2))) into (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))
74.696 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))) into (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))
74.696 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))))
74.696 * [backup-simplify]: Simplify (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))))) into (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))))
74.696 * [taylor]: Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))))) in phi2
74.696 * [taylor]: Taking taylor expansion of -2/3 in phi2
74.696 * [backup-simplify]: Simplify -2/3 into -2/3
74.696 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))) in phi2
74.696 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))) in phi2
74.696 * [taylor]: Taking taylor expansion of 1/3 in phi2
74.696 * [backup-simplify]: Simplify 1/3 into 1/3
74.696 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)) in phi2
74.696 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2
74.696 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
74.696 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
74.696 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2
74.696 * [taylor]: Taking taylor expansion of 1/2 in phi2
74.696 * [backup-simplify]: Simplify 1/2 into 1/2
74.696 * [taylor]: Taking taylor expansion of phi2 in phi2
74.696 * [backup-simplify]: Simplify 0 into 0
74.696 * [backup-simplify]: Simplify 1 into 1
74.697 * [backup-simplify]: Simplify (* 1/2 0) into 0
74.697 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
74.697 * [backup-simplify]: Simplify (* 1 1) into 1
74.698 * [backup-simplify]: Simplify (log 1) into 0
74.698 * [taylor]: Taking taylor expansion of (log lambda2) in phi2
74.698 * [taylor]: Taking taylor expansion of lambda2 in phi2
74.698 * [backup-simplify]: Simplify lambda2 into lambda2
74.698 * [backup-simplify]: Simplify (log lambda2) into (log lambda2)
74.698 * [backup-simplify]: Simplify (- (log lambda2)) into (- (log lambda2))
74.698 * [backup-simplify]: Simplify (+ 0 (- (log lambda2))) into (- (log lambda2))
74.698 * [backup-simplify]: Simplify (* 1/3 (- (log lambda2))) into (* -1/3 (log lambda2))
74.698 * [backup-simplify]: Simplify (exp (* -1/3 (log lambda2))) into (pow lambda2 -1/3)
74.698 * [backup-simplify]: Simplify (* -2/3 (pow lambda2 -1/3)) into (* -2/3 (pow (/ 1 lambda2) 1/3))
74.698 * [backup-simplify]: Simplify (* -2/3 (pow (/ 1 lambda2) 1/3)) into (* -2/3 (pow (/ 1 lambda2) 1/3))
74.698 * [backup-simplify]: Simplify (+ 0) into 0
74.699 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0
74.699 * [backup-simplify]: Simplify (+ 0 0) into 0
74.699 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0
74.700 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
74.700 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0
74.700 * [backup-simplify]: Simplify (- 0) into 0
74.701 * [backup-simplify]: Simplify (+ 0 0) into 0
74.701 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0
74.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
74.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0
74.702 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1)))) 1) into 0
74.703 * [backup-simplify]: Simplify (+ (* (- -2) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))
74.703 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) into 0
74.704 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow 0 1) 1)))) into 0
74.704 * [taylor]: Taking taylor expansion of 0 in phi1
74.704 * [backup-simplify]: Simplify 0 into 0
74.704 * [taylor]: Taking taylor expansion of 0 in phi2
74.704 * [backup-simplify]: Simplify 0 into 0
74.704 * [backup-simplify]: Simplify 0 into 0
74.704 * [backup-simplify]: Simplify (+ 0) into 0
74.704 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0
74.705 * [backup-simplify]: Simplify (+ 1 0) into 1
74.705 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2
74.706 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
74.707 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2)))
74.707 * [backup-simplify]: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2))))
74.707 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2))))
74.708 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))))
74.708 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))))) 1)) (pow (pow (cos (* 1/2 phi2)) 2) 1)))) 1) into (* -1 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))
74.709 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0
74.710 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0
74.710 * [backup-simplify]: Simplify (+ (* -1 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) 0) into (- (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))
74.710 * [backup-simplify]: Simplify (+ (* 1/3 (- (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))) (* 0 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) into (- (* 1/3 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))))
74.711 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow (- (* 1/3 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))) 1) 1)))) into (* -1/3 (/ (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) (cos (* 1/2 phi2))))
74.711 * [taylor]: Taking taylor expansion of (* -1/3 (/ (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) (cos (* 1/2 phi2)))) in phi2
74.711 * [taylor]: Taking taylor expansion of -1/3 in phi2
74.711 * [backup-simplify]: Simplify -1/3 into -1/3
74.711 * [taylor]: Taking taylor expansion of (/ (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) (cos (* 1/2 phi2))) in phi2
74.711 * [taylor]: Taking taylor expansion of (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) in phi2
74.711 * [taylor]: Taking taylor expansion of (sin (* 1/2 phi2)) in phi2
74.711 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2
74.711 * [taylor]: Taking taylor expansion of 1/2 in phi2
74.711 * [backup-simplify]: Simplify 1/2 into 1/2
74.711 * [taylor]: Taking taylor expansion of phi2 in phi2
74.711 * [backup-simplify]: Simplify 0 into 0
74.711 * [backup-simplify]: Simplify 1 into 1
74.712 * [backup-simplify]: Simplify (* 1/2 0) into 0
74.712 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
74.713 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) in phi2
74.713 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) in phi2
74.713 * [taylor]: Taking taylor expansion of 1/3 in phi2
74.713 * [backup-simplify]: Simplify 1/3 into 1/3
74.713 * [taylor]: Taking taylor expansion of (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) in phi2
74.713 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2
74.713 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
74.713 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
74.713 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2
74.713 * [taylor]: Taking taylor expansion of 1/2 in phi2
74.713 * [backup-simplify]: Simplify 1/2 into 1/2
74.713 * [taylor]: Taking taylor expansion of phi2 in phi2
74.713 * [backup-simplify]: Simplify 0 into 0
74.713 * [backup-simplify]: Simplify 1 into 1
74.713 * [backup-simplify]: Simplify (* 1/2 0) into 0
74.714 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
74.714 * [backup-simplify]: Simplify (* 1 1) into 1
74.715 * [backup-simplify]: Simplify (log 1) into 0
74.715 * [taylor]: Taking taylor expansion of (* 2 (log lambda2)) in phi2
74.715 * [taylor]: Taking taylor expansion of 2 in phi2
74.715 * [backup-simplify]: Simplify 2 into 2
74.715 * [taylor]: Taking taylor expansion of (log lambda2) in phi2
74.715 * [taylor]: Taking taylor expansion of lambda2 in phi2
74.715 * [backup-simplify]: Simplify lambda2 into lambda2
74.715 * [backup-simplify]: Simplify (log lambda2) into (log lambda2)
74.715 * [backup-simplify]: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2))
74.715 * [backup-simplify]: Simplify (+ 0 (* 2 (log lambda2))) into (* 2 (log lambda2))
74.715 * [backup-simplify]: Simplify (* 1/3 (* 2 (log lambda2))) into (* 2/3 (log lambda2))
74.715 * [backup-simplify]: Simplify (exp (* 2/3 (log lambda2))) into (pow lambda2 2/3)
74.715 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
74.715 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2
74.715 * [taylor]: Taking taylor expansion of 1/2 in phi2
74.715 * [backup-simplify]: Simplify 1/2 into 1/2
74.715 * [taylor]: Taking taylor expansion of phi2 in phi2
74.715 * [backup-simplify]: Simplify 0 into 0
74.716 * [backup-simplify]: Simplify 1 into 1
74.716 * [backup-simplify]: Simplify (* 1/2 0) into 0
74.717 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
74.717 * [backup-simplify]: Simplify (* 0 (pow lambda2 2/3)) into 0
74.717 * [backup-simplify]: Simplify (+ 0) into 0
74.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
74.719 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
74.720 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0
74.720 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0
74.721 * [backup-simplify]: Simplify (+ 0 0) into 0
74.721 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log lambda2)))) into 0
74.722 * [backup-simplify]: Simplify (* (exp (* 2/3 (log lambda2))) (+ (* (/ (pow 0 1) 1)))) into 0
74.723 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2
74.723 * [backup-simplify]: Simplify (+ (* 0 0) (* 1/2 (pow lambda2 2/3))) into (* 1/2 (pow (pow lambda2 2) 1/3))
74.724 * [backup-simplify]: Simplify (/ (* 1/2 (pow (pow lambda2 2) 1/3)) 1) into (* 1/2 (pow (pow lambda2 2) 1/3))
74.724 * [backup-simplify]: Simplify (+ 0) into 0
74.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
74.726 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
74.727 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0
74.727 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0
74.728 * [backup-simplify]: Simplify (+ 0 0) into 0
74.728 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log lambda2)))) into 0
74.729 * [backup-simplify]: Simplify (* (exp (* 2/3 (log lambda2))) (+ (* (/ (pow 0 1) 1)))) into 0
74.729 * [backup-simplify]: Simplify 0 into 0
74.730 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
74.730 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0
74.731 * [backup-simplify]: Simplify (+ 0 0) into 0
74.732 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0
74.733 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
74.733 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0
74.734 * [backup-simplify]: Simplify (- 0) into 0
74.734 * [backup-simplify]: Simplify (+ 0 0) into 0
74.734 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0
74.735 * [backup-simplify]: Simplify (- 0) into 0
74.735 * [backup-simplify]: Simplify (+ 0 0) into 0
74.736 * [backup-simplify]: Simplify (+ (* (- lambda2) 0) (+ (* 1 1) (* 0 (- lambda2)))) into 1
74.736 * [backup-simplify]: Simplify (+ (* (pow lambda2 2) 0) (+ (* (- (* 2 lambda2)) 0) (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
74.737 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 2)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)))) 2) into (/ -1 (pow lambda2 2))
74.737 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))))) into (- (* 1/3 (/ 1 (pow lambda2 2))))
74.738 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3))
74.738 * [taylor]: Taking taylor expansion of (* -1/9 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3)) in lambda2
74.738 * [taylor]: Taking taylor expansion of -1/9 in lambda2
74.738 * [backup-simplify]: Simplify -1/9 into -1/9
74.738 * [taylor]: Taking taylor expansion of (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3) in lambda2
74.738 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4))))) in lambda2
74.738 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)))) in lambda2
74.738 * [taylor]: Taking taylor expansion of 1/3 in lambda2
74.738 * [backup-simplify]: Simplify 1/3 into 1/3
74.738 * [taylor]: Taking taylor expansion of (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4))) in lambda2
74.738 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) in lambda2
74.738 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2
74.738 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2
74.739 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2
74.739 * [taylor]: Taking taylor expansion of 1/2 in lambda2
74.739 * [backup-simplify]: Simplify 1/2 into 1/2
74.739 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in lambda2
74.739 * [taylor]: Taking taylor expansion of phi1 in lambda2
74.739 * [backup-simplify]: Simplify phi1 into phi1
74.739 * [taylor]: Taking taylor expansion of phi2 in lambda2
74.739 * [backup-simplify]: Simplify phi2 into phi2
74.739 * [backup-simplify]: Simplify (+ phi1 phi2) into (+ phi1 phi2)
74.739 * [backup-simplify]: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2))
74.739 * [backup-simplify]: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2)))
74.739 * [backup-simplify]: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2)))
74.739 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2)))
74.739 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0
74.740 * [backup-simplify]: Simplify (- 0) into 0
74.740 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2)))
74.740 * [taylor]: Taking taylor expansion of (pow lambda2 4) in lambda2
74.740 * [taylor]: Taking taylor expansion of lambda2 in lambda2
74.740 * [backup-simplify]: Simplify 0 into 0
74.740 * [backup-simplify]: Simplify 1 into 1
74.740 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
74.740 * [backup-simplify]: Simplify (* 1 1) into 1
74.741 * [backup-simplify]: Simplify (* 1 1) into 1
74.741 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2)
74.741 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))
74.742 * [backup-simplify]: Simplify (+ (* (- 4) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))
74.742 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))
74.742 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))
74.742 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) into (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))))
74.742 * [taylor]: Taking taylor expansion of (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) in phi1
74.742 * [taylor]: Taking taylor expansion of -1/9 in phi1
74.742 * [backup-simplify]: Simplify -1/9 into -1/9
74.742 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) in phi1
74.743 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) in phi1
74.743 * [taylor]: Taking taylor expansion of 1/3 in phi1
74.743 * [backup-simplify]: Simplify 1/3 into 1/3
74.743 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))) in phi1
74.743 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1
74.743 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1
74.743 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1
74.743 * [taylor]: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1
74.743 * [taylor]: Taking taylor expansion of 1/2 in phi1
74.743 * [backup-simplify]: Simplify 1/2 into 1/2
74.743 * [taylor]: Taking taylor expansion of (+ phi1 phi2) in phi1
74.743 * [taylor]: Taking taylor expansion of phi1 in phi1
74.743 * [backup-simplify]: Simplify 0 into 0
74.743 * [backup-simplify]: Simplify 1 into 1
74.743 * [taylor]: Taking taylor expansion of phi2 in phi1
74.743 * [backup-simplify]: Simplify phi2 into phi2
74.743 * [backup-simplify]: Simplify (+ 0 phi2) into phi2
74.743 * [backup-simplify]: Simplify (* 1/2 phi2) into (* 1/2 phi2)
74.743 * [backup-simplify]: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2))
74.743 * [backup-simplify]: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2))
74.743 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2))
74.743 * [backup-simplify]: Simplify (* (sin (* 1/2 phi2)) 0) into 0
74.744 * [backup-simplify]: Simplify (- 0) into 0
74.744 * [backup-simplify]: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2))
74.744 * [backup-simplify]: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2)
74.744 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2))
74.744 * [taylor]: Taking taylor expansion of (* 4 (log lambda2)) in phi1
74.744 * [taylor]: Taking taylor expansion of 4 in phi1
74.744 * [backup-simplify]: Simplify 4 into 4
74.744 * [taylor]: Taking taylor expansion of (log lambda2) in phi1
74.744 * [taylor]: Taking taylor expansion of lambda2 in phi1
74.744 * [backup-simplify]: Simplify lambda2 into lambda2
74.744 * [backup-simplify]: Simplify (log lambda2) into (log lambda2)
74.744 * [backup-simplify]: Simplify (* 4 (log lambda2)) into (* 4 (log lambda2))
74.744 * [backup-simplify]: Simplify (- (* 4 (log lambda2))) into (- (* 4 (log lambda2)))
74.745 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 phi2)) 2)) (- (* 4 (log lambda2)))) into (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))
74.745 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))
74.745 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))))
74.745 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))))) into (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))))
74.745 * [taylor]: Taking taylor expansion of (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))))) in phi2
74.745 * [taylor]: Taking taylor expansion of -1/9 in phi2
74.745 * [backup-simplify]: Simplify -1/9 into -1/9
74.745 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))) in phi2
74.745 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))) in phi2
74.745 * [taylor]: Taking taylor expansion of 1/3 in phi2
74.745 * [backup-simplify]: Simplify 1/3 into 1/3
74.745 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))) in phi2
74.746 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2
74.746 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2
74.746 * [taylor]: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2
74.746 * [taylor]: Taking taylor expansion of (* 1/2 phi2) in phi2
74.746 * [taylor]: Taking taylor expansion of 1/2 in phi2
74.746 * [backup-simplify]: Simplify 1/2 into 1/2
74.746 * [taylor]: Taking taylor expansion of phi2 in phi2
74.746 * [backup-simplify]: Simplify 0 into 0
74.746 * [backup-simplify]: Simplify 1 into 1
74.746 * [backup-simplify]: Simplify (* 1/2 0) into 0
74.746 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
74.747 * [backup-simplify]: Simplify (* 1 1) into 1
74.747 * [backup-simplify]: Simplify (log 1) into 0
74.747 * [taylor]: Taking taylor expansion of (* 4 (log lambda2)) in phi2
74.747 * [taylor]: Taking taylor expansion of 4 in phi2
74.747 * [backup-simplify]: Simplify 4 into 4
74.747 * [taylor]: Taking taylor expansion of (log lambda2) in phi2
74.747 * [taylor]: Taking taylor expansion of lambda2 in phi2
74.747 * [backup-simplify]: Simplify lambda2 into lambda2
74.747 * [backup-simplify]: Simplify (log lambda2) into (log lambda2)
74.747 * [backup-simplify]: Simplify (* 4 (log lambda2)) into (* 4 (log lambda2))
74.747 * [backup-simplify]: Simplify (- (* 4 (log lambda2))) into (- (* 4 (log lambda2)))
74.747 * [backup-simplify]: Simplify (+ 0 (- (* 4 (log lambda2)))) into (- (* 4 (log lambda2)))
74.747 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log lambda2)))) into (* -4/3 (log lambda2))
74.747 * [backup-simplify]: Simplify (exp (* -4/3 (log lambda2))) into (pow lambda2 -4/3)
74.747 * [backup-simplify]: Simplify (* -1/9 (pow lambda2 -4/3)) into (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3))
74.747 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) into (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3))
74.748 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) (pow (* 1 (* 1 (* 1 lambda1))) 2)) (+ (* (* -2/3 (pow (/ 1 lambda2) 1/3)) (* 1 (* 1 (* 1 lambda1)))) (pow lambda2 2/3))) into (- (pow lambda2 2/3) (+ (* 2/3 (* (pow (/ 1 lambda2) 1/3) lambda1)) (* 1/9 (* (pow (/ 1 (pow lambda2 4)) 1/3) (pow lambda1 2)))))
74.748 * [backup-simplify]: Simplify (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3)
74.748 * [approximate]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in (lambda1 lambda2 phi1 phi2) around 0
74.748 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in phi2
74.748 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in phi2
74.748 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in phi2
74.748 * [taylor]: Taking taylor expansion of 1/3 in phi2
74.748 * [backup-simplify]: Simplify 1/3 into 1/3
74.748 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in phi2
74.748 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in phi2
74.748 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
74.748 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
74.748 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
74.748 * [taylor]: Taking taylor expansion of 1/2 in phi2
74.748 * [backup-simplify]: Simplify 1/2 into 1/2
74.748 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
74.748 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
74.748 * [taylor]: Taking taylor expansion of phi1 in phi2
74.748 * [backup-simplify]: Simplify phi1 into phi1
74.748 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.748 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
74.749 * [taylor]: Taking taylor expansion of phi2 in phi2
74.749 * [backup-simplify]: Simplify 0 into 0
74.749 * [backup-simplify]: Simplify 1 into 1
74.749 * [backup-simplify]: Simplify (/ 1 1) into 1
74.749 * [backup-simplify]: Simplify (+ 0 1) into 1
74.749 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
74.749 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.749 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in phi2
74.749 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2
74.749 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2
74.749 * [taylor]: Taking taylor expansion of lambda1 in phi2
74.750 * [backup-simplify]: Simplify lambda1 into lambda1
74.750 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
74.750 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2
74.750 * [taylor]: Taking taylor expansion of lambda2 in phi2
74.750 * [backup-simplify]: Simplify lambda2 into lambda2
74.750 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
74.750 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
74.750 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
74.750 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.750 * [backup-simplify]: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (- (/ 1 lambda1) (/ 1 lambda2))) into (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)
74.750 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))
74.750 * [backup-simplify]: Simplify (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))
74.751 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))
74.751 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3)
74.751 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in phi1
74.751 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in phi1
74.751 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in phi1
74.751 * [taylor]: Taking taylor expansion of 1/3 in phi1
74.751 * [backup-simplify]: Simplify 1/3 into 1/3
74.751 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in phi1
74.751 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in phi1
74.751 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
74.751 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
74.751 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
74.751 * [taylor]: Taking taylor expansion of 1/2 in phi1
74.751 * [backup-simplify]: Simplify 1/2 into 1/2
74.751 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
74.751 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
74.751 * [taylor]: Taking taylor expansion of phi1 in phi1
74.751 * [backup-simplify]: Simplify 0 into 0
74.751 * [backup-simplify]: Simplify 1 into 1
74.751 * [backup-simplify]: Simplify (/ 1 1) into 1
74.751 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
74.751 * [taylor]: Taking taylor expansion of phi2 in phi1
74.751 * [backup-simplify]: Simplify phi2 into phi2
74.751 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.752 * [backup-simplify]: Simplify (+ 1 0) into 1
74.752 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
74.752 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.752 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in phi1
74.752 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1
74.752 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1
74.752 * [taylor]: Taking taylor expansion of lambda1 in phi1
74.752 * [backup-simplify]: Simplify lambda1 into lambda1
74.752 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
74.752 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1
74.752 * [taylor]: Taking taylor expansion of lambda2 in phi1
74.752 * [backup-simplify]: Simplify lambda2 into lambda2
74.752 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
74.752 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
74.752 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2))
74.753 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.753 * [backup-simplify]: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (- (/ 1 lambda1) (/ 1 lambda2))) into (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)
74.753 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))
74.753 * [backup-simplify]: Simplify (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))
74.753 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))
74.753 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3)
74.753 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in lambda2
74.753 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in lambda2
74.753 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in lambda2
74.753 * [taylor]: Taking taylor expansion of 1/3 in lambda2
74.753 * [backup-simplify]: Simplify 1/3 into 1/3
74.753 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in lambda2
74.754 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda2
74.754 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
74.754 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
74.754 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
74.754 * [taylor]: Taking taylor expansion of 1/2 in lambda2
74.754 * [backup-simplify]: Simplify 1/2 into 1/2
74.754 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
74.754 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
74.754 * [taylor]: Taking taylor expansion of phi1 in lambda2
74.754 * [backup-simplify]: Simplify phi1 into phi1
74.754 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.754 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
74.754 * [taylor]: Taking taylor expansion of phi2 in lambda2
74.754 * [backup-simplify]: Simplify phi2 into phi2
74.754 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.754 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
74.754 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
74.754 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.754 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.754 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.754 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
74.754 * [backup-simplify]: Simplify (- 0) into 0
74.755 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.755 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda2
74.755 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
74.755 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
74.755 * [taylor]: Taking taylor expansion of lambda1 in lambda2
74.755 * [backup-simplify]: Simplify lambda1 into lambda1
74.755 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
74.755 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
74.755 * [taylor]: Taking taylor expansion of lambda2 in lambda2
74.755 * [backup-simplify]: Simplify 0 into 0
74.755 * [backup-simplify]: Simplify 1 into 1
74.755 * [backup-simplify]: Simplify (/ 1 1) into 1
74.755 * [backup-simplify]: Simplify (- 1) into -1
74.755 * [backup-simplify]: Simplify (+ 0 -1) into -1
74.756 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.756 * [backup-simplify]: Simplify (* -1 -1) into 1
74.756 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.756 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.757 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))
74.757 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))
74.757 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))))
74.757 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in lambda1
74.757 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in lambda1
74.757 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in lambda1
74.757 * [taylor]: Taking taylor expansion of 1/3 in lambda1
74.757 * [backup-simplify]: Simplify 1/3 into 1/3
74.757 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in lambda1
74.757 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1
74.757 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
74.757 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
74.757 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
74.757 * [taylor]: Taking taylor expansion of 1/2 in lambda1
74.757 * [backup-simplify]: Simplify 1/2 into 1/2
74.757 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
74.757 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
74.757 * [taylor]: Taking taylor expansion of phi1 in lambda1
74.757 * [backup-simplify]: Simplify phi1 into phi1
74.757 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.757 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
74.757 * [taylor]: Taking taylor expansion of phi2 in lambda1
74.757 * [backup-simplify]: Simplify phi2 into phi2
74.757 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.757 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
74.757 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
74.757 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.758 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.758 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.758 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
74.758 * [backup-simplify]: Simplify (- 0) into 0
74.758 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.758 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda1
74.758 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
74.758 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
74.758 * [taylor]: Taking taylor expansion of lambda1 in lambda1
74.758 * [backup-simplify]: Simplify 0 into 0
74.758 * [backup-simplify]: Simplify 1 into 1
74.758 * [backup-simplify]: Simplify (/ 1 1) into 1
74.758 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
74.758 * [taylor]: Taking taylor expansion of lambda2 in lambda1
74.758 * [backup-simplify]: Simplify lambda2 into lambda2
74.758 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
74.759 * [backup-simplify]: Simplify (+ 1 0) into 1
74.759 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.759 * [backup-simplify]: Simplify (* 1 1) into 1
74.759 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.759 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.760 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.760 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.760 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.760 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in lambda1
74.760 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in lambda1
74.760 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in lambda1
74.760 * [taylor]: Taking taylor expansion of 1/3 in lambda1
74.760 * [backup-simplify]: Simplify 1/3 into 1/3
74.760 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in lambda1
74.760 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1
74.760 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
74.760 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
74.760 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
74.760 * [taylor]: Taking taylor expansion of 1/2 in lambda1
74.760 * [backup-simplify]: Simplify 1/2 into 1/2
74.760 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
74.760 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
74.760 * [taylor]: Taking taylor expansion of phi1 in lambda1
74.760 * [backup-simplify]: Simplify phi1 into phi1
74.760 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.760 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
74.760 * [taylor]: Taking taylor expansion of phi2 in lambda1
74.760 * [backup-simplify]: Simplify phi2 into phi2
74.760 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.761 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
74.761 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
74.761 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.761 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.761 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.761 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
74.761 * [backup-simplify]: Simplify (- 0) into 0
74.761 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.761 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda1
74.761 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
74.761 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
74.761 * [taylor]: Taking taylor expansion of lambda1 in lambda1
74.761 * [backup-simplify]: Simplify 0 into 0
74.761 * [backup-simplify]: Simplify 1 into 1
74.762 * [backup-simplify]: Simplify (/ 1 1) into 1
74.762 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
74.762 * [taylor]: Taking taylor expansion of lambda2 in lambda1
74.762 * [backup-simplify]: Simplify lambda2 into lambda2
74.762 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
74.762 * [backup-simplify]: Simplify (+ 1 0) into 1
74.762 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.763 * [backup-simplify]: Simplify (* 1 1) into 1
74.763 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.763 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.763 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.763 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.764 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.764 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2
74.764 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2
74.764 * [taylor]: Taking taylor expansion of 1/3 in lambda2
74.764 * [backup-simplify]: Simplify 1/3 into 1/3
74.764 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2
74.764 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2
74.764 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
74.764 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
74.764 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
74.764 * [taylor]: Taking taylor expansion of 1/2 in lambda2
74.764 * [backup-simplify]: Simplify 1/2 into 1/2
74.764 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
74.764 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
74.764 * [taylor]: Taking taylor expansion of phi1 in lambda2
74.764 * [backup-simplify]: Simplify phi1 into phi1
74.764 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.764 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
74.764 * [taylor]: Taking taylor expansion of phi2 in lambda2
74.764 * [backup-simplify]: Simplify phi2 into phi2
74.764 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.764 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
74.764 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
74.764 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.764 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.764 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.764 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
74.765 * [backup-simplify]: Simplify (- 0) into 0
74.765 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.765 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.765 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.765 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2
74.765 * [taylor]: Taking taylor expansion of 2 in lambda2
74.765 * [backup-simplify]: Simplify 2 into 2
74.765 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2
74.765 * [taylor]: Taking taylor expansion of lambda1 in lambda2
74.765 * [backup-simplify]: Simplify lambda1 into lambda1
74.765 * [backup-simplify]: Simplify (log lambda1) into (log lambda1)
74.765 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
74.765 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
74.765 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.766 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.766 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.766 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1
74.766 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1
74.766 * [taylor]: Taking taylor expansion of 1/3 in phi1
74.766 * [backup-simplify]: Simplify 1/3 into 1/3
74.766 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1
74.766 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1
74.766 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
74.766 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
74.766 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
74.766 * [taylor]: Taking taylor expansion of 1/2 in phi1
74.766 * [backup-simplify]: Simplify 1/2 into 1/2
74.766 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
74.766 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
74.766 * [taylor]: Taking taylor expansion of phi1 in phi1
74.766 * [backup-simplify]: Simplify 0 into 0
74.766 * [backup-simplify]: Simplify 1 into 1
74.766 * [backup-simplify]: Simplify (/ 1 1) into 1
74.766 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
74.766 * [taylor]: Taking taylor expansion of phi2 in phi1
74.766 * [backup-simplify]: Simplify phi2 into phi2
74.766 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.767 * [backup-simplify]: Simplify (+ 1 0) into 1
74.767 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
74.767 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.767 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.767 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.767 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1
74.767 * [taylor]: Taking taylor expansion of 2 in phi1
74.767 * [backup-simplify]: Simplify 2 into 2
74.767 * [taylor]: Taking taylor expansion of (log lambda1) in phi1
74.767 * [taylor]: Taking taylor expansion of lambda1 in phi1
74.767 * [backup-simplify]: Simplify lambda1 into lambda1
74.767 * [backup-simplify]: Simplify (log lambda1) into (log lambda1)
74.767 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
74.768 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
74.768 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.768 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.768 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.768 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2
74.768 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2
74.768 * [taylor]: Taking taylor expansion of 1/3 in phi2
74.768 * [backup-simplify]: Simplify 1/3 into 1/3
74.768 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2
74.768 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2
74.768 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
74.768 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
74.768 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
74.768 * [taylor]: Taking taylor expansion of 1/2 in phi2
74.768 * [backup-simplify]: Simplify 1/2 into 1/2
74.768 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
74.768 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
74.768 * [taylor]: Taking taylor expansion of phi1 in phi2
74.768 * [backup-simplify]: Simplify phi1 into phi1
74.768 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.768 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
74.768 * [taylor]: Taking taylor expansion of phi2 in phi2
74.768 * [backup-simplify]: Simplify 0 into 0
74.768 * [backup-simplify]: Simplify 1 into 1
74.769 * [backup-simplify]: Simplify (/ 1 1) into 1
74.769 * [backup-simplify]: Simplify (+ 0 1) into 1
74.769 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
74.769 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.769 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.770 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.770 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi2
74.770 * [taylor]: Taking taylor expansion of 2 in phi2
74.770 * [backup-simplify]: Simplify 2 into 2
74.770 * [taylor]: Taking taylor expansion of (log lambda1) in phi2
74.770 * [taylor]: Taking taylor expansion of lambda1 in phi2
74.770 * [backup-simplify]: Simplify lambda1 into lambda1
74.770 * [backup-simplify]: Simplify (log lambda1) into (log lambda1)
74.770 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
74.770 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
74.770 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.770 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.770 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.770 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
74.771 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2))
74.771 * [backup-simplify]: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2))
74.771 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 lambda2))) (* (- (/ 1 lambda2)) 1)) into (- (* 2 (/ 1 lambda2)))
74.771 * [backup-simplify]: Simplify (+ 0) into 0
74.772 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
74.772 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
74.772 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
74.772 * [backup-simplify]: Simplify (+ 0 0) into 0
74.773 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
74.773 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
74.773 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
74.774 * [backup-simplify]: Simplify (- 0) into 0
74.774 * [backup-simplify]: Simplify (+ 0 0) into 0
74.774 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
74.775 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (- (* 2 (/ 1 lambda2)))) (* 0 1)) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
74.775 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2)
74.775 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.776 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2)))
74.776 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2))
74.776 * [taylor]: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2
74.776 * [taylor]: Taking taylor expansion of -2/3 in lambda2
74.776 * [backup-simplify]: Simplify -2/3 into -2/3
74.776 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2
74.776 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2
74.776 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2
74.776 * [taylor]: Taking taylor expansion of 1/3 in lambda2
74.776 * [backup-simplify]: Simplify 1/3 into 1/3
74.776 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2
74.776 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2
74.776 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
74.776 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
74.776 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
74.776 * [taylor]: Taking taylor expansion of 1/2 in lambda2
74.776 * [backup-simplify]: Simplify 1/2 into 1/2
74.776 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
74.776 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
74.776 * [taylor]: Taking taylor expansion of phi1 in lambda2
74.776 * [backup-simplify]: Simplify phi1 into phi1
74.776 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.776 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
74.776 * [taylor]: Taking taylor expansion of phi2 in lambda2
74.776 * [backup-simplify]: Simplify phi2 into phi2
74.776 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.776 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
74.776 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
74.776 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.777 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.777 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.777 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
74.777 * [backup-simplify]: Simplify (- 0) into 0
74.777 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.777 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.777 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.777 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2
74.777 * [taylor]: Taking taylor expansion of 2 in lambda2
74.777 * [backup-simplify]: Simplify 2 into 2
74.777 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2
74.777 * [taylor]: Taking taylor expansion of lambda1 in lambda2
74.777 * [backup-simplify]: Simplify lambda1 into lambda1
74.777 * [backup-simplify]: Simplify (log lambda1) into (log lambda1)
74.777 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
74.778 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
74.778 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.778 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.778 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.778 * [taylor]: Taking taylor expansion of lambda2 in lambda2
74.778 * [backup-simplify]: Simplify 0 into 0
74.778 * [backup-simplify]: Simplify 1 into 1
74.779 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.779 * [backup-simplify]: Simplify (+ 0) into 0
74.780 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
74.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
74.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
74.781 * [backup-simplify]: Simplify (+ 0 0) into 0
74.781 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
74.782 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
74.782 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
74.783 * [backup-simplify]: Simplify (- 0) into 0
74.783 * [backup-simplify]: Simplify (+ 0 0) into 0
74.783 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
74.784 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
74.785 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
74.786 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
74.786 * [backup-simplify]: Simplify (- 0) into 0
74.786 * [backup-simplify]: Simplify (+ 0 0) into 0
74.787 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
74.788 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
74.789 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0
74.790 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into 0
74.790 * [taylor]: Taking taylor expansion of 0 in phi1
74.790 * [backup-simplify]: Simplify 0 into 0
74.790 * [taylor]: Taking taylor expansion of 0 in phi2
74.790 * [backup-simplify]: Simplify 0 into 0
74.790 * [backup-simplify]: Simplify 0 into 0
74.790 * [backup-simplify]: Simplify (+ 0) into 0
74.791 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
74.791 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
74.791 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
74.791 * [backup-simplify]: Simplify (+ 0 0) into 0
74.791 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
74.792 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
74.792 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
74.794 * [backup-simplify]: Simplify (- 0) into 0
74.795 * [backup-simplify]: Simplify (+ 0 0) into 0
74.795 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
74.795 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
74.796 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
74.796 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
74.797 * [backup-simplify]: Simplify (- 0) into 0
74.797 * [backup-simplify]: Simplify (+ 0 0) into 0
74.797 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
74.798 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
74.798 * [taylor]: Taking taylor expansion of 0 in phi1
74.798 * [backup-simplify]: Simplify 0 into 0
74.798 * [taylor]: Taking taylor expansion of 0 in phi2
74.798 * [backup-simplify]: Simplify 0 into 0
74.798 * [backup-simplify]: Simplify 0 into 0
74.798 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
74.799 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
74.799 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
74.800 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
74.800 * [backup-simplify]: Simplify (- 0) into 0
74.800 * [backup-simplify]: Simplify (+ 0 0) into 0
74.801 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
74.801 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
74.801 * [taylor]: Taking taylor expansion of 0 in phi2
74.801 * [backup-simplify]: Simplify 0 into 0
74.801 * [backup-simplify]: Simplify 0 into 0
74.801 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
74.802 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
74.803 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
74.803 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
74.803 * [backup-simplify]: Simplify (- 0) into 0
74.803 * [backup-simplify]: Simplify (+ 0 0) into 0
74.804 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
74.804 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
74.805 * [backup-simplify]: Simplify 0 into 0
74.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
74.805 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
74.805 * [backup-simplify]: Simplify (- 0) into 0
74.806 * [backup-simplify]: Simplify (+ 0 0) into 0
74.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) (- (/ 1 lambda2))) (* 0 1))) into (/ 1 (pow lambda2 2))
74.807 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
74.807 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
74.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
74.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
74.808 * [backup-simplify]: Simplify (+ 0 0) into 0
74.808 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
74.809 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
74.809 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
74.810 * [backup-simplify]: Simplify (- 0) into 0
74.810 * [backup-simplify]: Simplify (+ 0 0) into 0
74.810 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
74.811 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 1 (pow lambda2 2))) (+ (* 0 (- (* 2 (/ 1 lambda2)))) (* 0 1))) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
74.811 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2))
74.812 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.812 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2))))
74.813 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)))
74.813 * [taylor]: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) in lambda2
74.813 * [taylor]: Taking taylor expansion of -1/9 in lambda2
74.813 * [backup-simplify]: Simplify -1/9 into -1/9
74.813 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)) in lambda2
74.813 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2
74.813 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2
74.813 * [taylor]: Taking taylor expansion of 1/3 in lambda2
74.813 * [backup-simplify]: Simplify 1/3 into 1/3
74.813 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2
74.813 * [taylor]: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2
74.813 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
74.813 * [taylor]: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
74.813 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
74.813 * [taylor]: Taking taylor expansion of 1/2 in lambda2
74.813 * [backup-simplify]: Simplify 1/2 into 1/2
74.813 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
74.813 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
74.813 * [taylor]: Taking taylor expansion of phi1 in lambda2
74.813 * [backup-simplify]: Simplify phi1 into phi1
74.813 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.813 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
74.813 * [taylor]: Taking taylor expansion of phi2 in lambda2
74.813 * [backup-simplify]: Simplify phi2 into phi2
74.813 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.813 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
74.813 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))
74.813 * [backup-simplify]: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.814 * [backup-simplify]: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.814 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.814 * [backup-simplify]: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
74.814 * [backup-simplify]: Simplify (- 0) into 0
74.814 * [backup-simplify]: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.814 * [backup-simplify]: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.814 * [backup-simplify]: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.814 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2
74.814 * [taylor]: Taking taylor expansion of 2 in lambda2
74.814 * [backup-simplify]: Simplify 2 into 2
74.815 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2
74.815 * [taylor]: Taking taylor expansion of lambda1 in lambda2
74.815 * [backup-simplify]: Simplify lambda1 into lambda1
74.815 * [backup-simplify]: Simplify (log lambda1) into (log lambda1)
74.815 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
74.815 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
74.815 * [backup-simplify]: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.815 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.815 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.815 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2
74.815 * [taylor]: Taking taylor expansion of lambda2 in lambda2
74.815 * [backup-simplify]: Simplify 0 into 0
74.815 * [backup-simplify]: Simplify 1 into 1
74.815 * [backup-simplify]: Simplify (* 1 1) into 1
74.816 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.816 * [backup-simplify]: Simplify (+ 0) into 0
74.817 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
74.817 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
74.817 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
74.818 * [backup-simplify]: Simplify (+ 0 0) into 0
74.818 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
74.819 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
74.819 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
74.819 * [backup-simplify]: Simplify (- 0) into 0
74.819 * [backup-simplify]: Simplify (+ 0 0) into 0
74.820 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
74.820 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
74.821 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
74.821 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
74.822 * [backup-simplify]: Simplify (- 0) into 0
74.822 * [backup-simplify]: Simplify (+ 0 0) into 0
74.822 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
74.823 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
74.823 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
74.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
74.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
74.824 * [backup-simplify]: Simplify (+ 0 0) into 0
74.824 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
74.825 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
74.825 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
74.825 * [backup-simplify]: Simplify (- 0) into 0
74.826 * [backup-simplify]: Simplify (+ 0 0) into 0
74.826 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
74.828 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0
74.830 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0
74.831 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0
74.831 * [backup-simplify]: Simplify (- 0) into 0
74.831 * [backup-simplify]: Simplify (+ 0 0) into 0
74.833 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0
74.834 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
74.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
74.836 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
74.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
74.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0
74.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
74.841 * [backup-simplify]: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0
74.841 * [taylor]: Taking taylor expansion of 0 in phi1
74.841 * [backup-simplify]: Simplify 0 into 0
74.841 * [taylor]: Taking taylor expansion of 0 in phi2
74.841 * [backup-simplify]: Simplify 0 into 0
74.841 * [backup-simplify]: Simplify 0 into 0
74.842 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
74.843 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
74.843 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
74.843 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
74.844 * [backup-simplify]: Simplify (+ 0 0) into 0
74.844 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
74.845 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
74.846 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
74.846 * [backup-simplify]: Simplify (- 0) into 0
74.847 * [backup-simplify]: Simplify (+ 0 0) into 0
74.847 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
74.849 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0
74.851 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0
74.851 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0
74.852 * [backup-simplify]: Simplify (- 0) into 0
74.852 * [backup-simplify]: Simplify (+ 0 0) into 0
74.853 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0
74.855 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
74.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
74.858 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0
74.858 * [taylor]: Taking taylor expansion of 0 in phi1
74.858 * [backup-simplify]: Simplify 0 into 0
74.858 * [taylor]: Taking taylor expansion of 0 in phi2
74.858 * [backup-simplify]: Simplify 0 into 0
74.858 * [backup-simplify]: Simplify 0 into 0
74.858 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) 2)) (* 2 (log (/ 1 lambda1)))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ 1 lambda1))))))
74.859 * [backup-simplify]: Simplify (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3)
74.859 * [approximate]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in (lambda1 lambda2 phi1 phi2) around 0
74.859 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in phi2
74.859 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in phi2
74.859 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in phi2
74.859 * [taylor]: Taking taylor expansion of 1/3 in phi2
74.859 * [backup-simplify]: Simplify 1/3 into 1/3
74.859 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in phi2
74.859 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in phi2
74.859 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
74.859 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
74.859 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
74.859 * [taylor]: Taking taylor expansion of -1/2 in phi2
74.859 * [backup-simplify]: Simplify -1/2 into -1/2
74.859 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
74.860 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
74.860 * [taylor]: Taking taylor expansion of phi1 in phi2
74.860 * [backup-simplify]: Simplify phi1 into phi1
74.860 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.860 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
74.860 * [taylor]: Taking taylor expansion of phi2 in phi2
74.860 * [backup-simplify]: Simplify 0 into 0
74.860 * [backup-simplify]: Simplify 1 into 1
74.860 * [backup-simplify]: Simplify (/ 1 1) into 1
74.861 * [backup-simplify]: Simplify (+ 0 1) into 1
74.861 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
74.861 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.861 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in phi2
74.861 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2
74.861 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2
74.861 * [taylor]: Taking taylor expansion of lambda2 in phi2
74.861 * [backup-simplify]: Simplify lambda2 into lambda2
74.861 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
74.862 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2
74.862 * [taylor]: Taking taylor expansion of lambda1 in phi2
74.862 * [backup-simplify]: Simplify lambda1 into lambda1
74.862 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
74.862 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1))
74.862 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1))
74.862 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.862 * [backup-simplify]: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (- (/ 1 lambda2) (/ 1 lambda1))) into (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)
74.863 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))
74.863 * [backup-simplify]: Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))
74.864 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))
74.864 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3)
74.864 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in phi1
74.864 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in phi1
74.864 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in phi1
74.864 * [taylor]: Taking taylor expansion of 1/3 in phi1
74.864 * [backup-simplify]: Simplify 1/3 into 1/3
74.864 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in phi1
74.864 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in phi1
74.864 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
74.864 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
74.864 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
74.864 * [taylor]: Taking taylor expansion of -1/2 in phi1
74.864 * [backup-simplify]: Simplify -1/2 into -1/2
74.864 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
74.864 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
74.864 * [taylor]: Taking taylor expansion of phi1 in phi1
74.864 * [backup-simplify]: Simplify 0 into 0
74.864 * [backup-simplify]: Simplify 1 into 1
74.865 * [backup-simplify]: Simplify (/ 1 1) into 1
74.865 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
74.865 * [taylor]: Taking taylor expansion of phi2 in phi1
74.865 * [backup-simplify]: Simplify phi2 into phi2
74.865 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.865 * [backup-simplify]: Simplify (+ 1 0) into 1
74.866 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
74.866 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.866 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in phi1
74.866 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1
74.866 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1
74.866 * [taylor]: Taking taylor expansion of lambda2 in phi1
74.866 * [backup-simplify]: Simplify lambda2 into lambda2
74.866 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
74.866 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1
74.866 * [taylor]: Taking taylor expansion of lambda1 in phi1
74.866 * [backup-simplify]: Simplify lambda1 into lambda1
74.866 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
74.866 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1))
74.867 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1))
74.867 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.867 * [backup-simplify]: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (- (/ 1 lambda2) (/ 1 lambda1))) into (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)
74.867 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))
74.868 * [backup-simplify]: Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))
74.868 * [backup-simplify]: Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))
74.868 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3)
74.868 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in lambda2
74.868 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in lambda2
74.868 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in lambda2
74.868 * [taylor]: Taking taylor expansion of 1/3 in lambda2
74.868 * [backup-simplify]: Simplify 1/3 into 1/3
74.868 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in lambda2
74.869 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda2
74.869 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
74.869 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
74.869 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
74.869 * [taylor]: Taking taylor expansion of -1/2 in lambda2
74.869 * [backup-simplify]: Simplify -1/2 into -1/2
74.869 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
74.869 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
74.869 * [taylor]: Taking taylor expansion of phi1 in lambda2
74.869 * [backup-simplify]: Simplify phi1 into phi1
74.869 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.869 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
74.869 * [taylor]: Taking taylor expansion of phi2 in lambda2
74.869 * [backup-simplify]: Simplify phi2 into phi2
74.869 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.869 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
74.869 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
74.869 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.869 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.870 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.870 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
74.870 * [backup-simplify]: Simplify (- 0) into 0
74.870 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.870 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda2
74.870 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2
74.871 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
74.871 * [taylor]: Taking taylor expansion of lambda2 in lambda2
74.871 * [backup-simplify]: Simplify 0 into 0
74.871 * [backup-simplify]: Simplify 1 into 1
74.871 * [backup-simplify]: Simplify (/ 1 1) into 1
74.871 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
74.871 * [taylor]: Taking taylor expansion of lambda1 in lambda2
74.871 * [backup-simplify]: Simplify lambda1 into lambda1
74.871 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
74.872 * [backup-simplify]: Simplify (+ 1 0) into 1
74.872 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.872 * [backup-simplify]: Simplify (* 1 1) into 1
74.873 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.873 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.873 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))
74.874 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))
74.874 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))))
74.874 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in lambda1
74.874 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in lambda1
74.874 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in lambda1
74.874 * [taylor]: Taking taylor expansion of 1/3 in lambda1
74.874 * [backup-simplify]: Simplify 1/3 into 1/3
74.874 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in lambda1
74.874 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda1
74.874 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
74.874 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
74.874 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
74.874 * [taylor]: Taking taylor expansion of -1/2 in lambda1
74.874 * [backup-simplify]: Simplify -1/2 into -1/2
74.874 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
74.874 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
74.875 * [taylor]: Taking taylor expansion of phi1 in lambda1
74.875 * [backup-simplify]: Simplify phi1 into phi1
74.875 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.875 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
74.875 * [taylor]: Taking taylor expansion of phi2 in lambda1
74.875 * [backup-simplify]: Simplify phi2 into phi2
74.875 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.875 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
74.875 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
74.875 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.875 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.875 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.876 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
74.876 * [backup-simplify]: Simplify (- 0) into 0
74.876 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.876 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda1
74.876 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1
74.876 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
74.876 * [taylor]: Taking taylor expansion of lambda2 in lambda1
74.876 * [backup-simplify]: Simplify lambda2 into lambda2
74.876 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
74.876 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
74.876 * [taylor]: Taking taylor expansion of lambda1 in lambda1
74.876 * [backup-simplify]: Simplify 0 into 0
74.876 * [backup-simplify]: Simplify 1 into 1
74.877 * [backup-simplify]: Simplify (/ 1 1) into 1
74.877 * [backup-simplify]: Simplify (- 1) into -1
74.878 * [backup-simplify]: Simplify (+ 0 -1) into -1
74.878 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.878 * [backup-simplify]: Simplify (* -1 -1) into 1
74.879 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.879 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.879 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.880 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.880 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.880 * [taylor]: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in lambda1
74.880 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in lambda1
74.880 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in lambda1
74.880 * [taylor]: Taking taylor expansion of 1/3 in lambda1
74.880 * [backup-simplify]: Simplify 1/3 into 1/3
74.880 * [taylor]: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in lambda1
74.880 * [taylor]: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda1
74.880 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1
74.880 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1
74.880 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1
74.880 * [taylor]: Taking taylor expansion of -1/2 in lambda1
74.880 * [backup-simplify]: Simplify -1/2 into -1/2
74.880 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1
74.880 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1
74.880 * [taylor]: Taking taylor expansion of phi1 in lambda1
74.880 * [backup-simplify]: Simplify phi1 into phi1
74.880 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.880 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1
74.880 * [taylor]: Taking taylor expansion of phi2 in lambda1
74.880 * [backup-simplify]: Simplify phi2 into phi2
74.881 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.881 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
74.881 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
74.881 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.881 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.881 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.881 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
74.882 * [backup-simplify]: Simplify (- 0) into 0
74.882 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.882 * [taylor]: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda1
74.882 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1
74.882 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
74.882 * [taylor]: Taking taylor expansion of lambda2 in lambda1
74.882 * [backup-simplify]: Simplify lambda2 into lambda2
74.882 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
74.882 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
74.882 * [taylor]: Taking taylor expansion of lambda1 in lambda1
74.882 * [backup-simplify]: Simplify 0 into 0
74.882 * [backup-simplify]: Simplify 1 into 1
74.883 * [backup-simplify]: Simplify (/ 1 1) into 1
74.883 * [backup-simplify]: Simplify (- 1) into -1
74.883 * [backup-simplify]: Simplify (+ 0 -1) into -1
74.884 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.884 * [backup-simplify]: Simplify (* -1 -1) into 1
74.884 * [backup-simplify]: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.884 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.885 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.885 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.886 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.886 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2
74.886 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2
74.886 * [taylor]: Taking taylor expansion of 1/3 in lambda2
74.886 * [backup-simplify]: Simplify 1/3 into 1/3
74.886 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2
74.886 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2
74.886 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
74.886 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
74.886 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
74.886 * [taylor]: Taking taylor expansion of -1/2 in lambda2
74.886 * [backup-simplify]: Simplify -1/2 into -1/2
74.886 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
74.886 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
74.886 * [taylor]: Taking taylor expansion of phi1 in lambda2
74.886 * [backup-simplify]: Simplify phi1 into phi1
74.886 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.886 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
74.886 * [taylor]: Taking taylor expansion of phi2 in lambda2
74.886 * [backup-simplify]: Simplify phi2 into phi2
74.886 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.886 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
74.886 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
74.886 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.886 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.886 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.887 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
74.887 * [backup-simplify]: Simplify (- 0) into 0
74.887 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.887 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.887 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.887 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2
74.887 * [taylor]: Taking taylor expansion of 2 in lambda2
74.887 * [backup-simplify]: Simplify 2 into 2
74.887 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2
74.887 * [taylor]: Taking taylor expansion of lambda1 in lambda2
74.887 * [backup-simplify]: Simplify lambda1 into lambda1
74.887 * [backup-simplify]: Simplify (log lambda1) into (log lambda1)
74.887 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
74.887 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
74.888 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.888 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.888 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.888 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1
74.888 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1
74.888 * [taylor]: Taking taylor expansion of 1/3 in phi1
74.888 * [backup-simplify]: Simplify 1/3 into 1/3
74.888 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1
74.888 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1
74.888 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1
74.888 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1
74.888 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1
74.888 * [taylor]: Taking taylor expansion of -1/2 in phi1
74.888 * [backup-simplify]: Simplify -1/2 into -1/2
74.888 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1
74.888 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
74.888 * [taylor]: Taking taylor expansion of phi1 in phi1
74.888 * [backup-simplify]: Simplify 0 into 0
74.888 * [backup-simplify]: Simplify 1 into 1
74.888 * [backup-simplify]: Simplify (/ 1 1) into 1
74.888 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
74.888 * [taylor]: Taking taylor expansion of phi2 in phi1
74.888 * [backup-simplify]: Simplify phi2 into phi2
74.888 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.889 * [backup-simplify]: Simplify (+ 1 0) into 1
74.889 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
74.889 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.889 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.889 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.889 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi1
74.889 * [taylor]: Taking taylor expansion of 2 in phi1
74.889 * [backup-simplify]: Simplify 2 into 2
74.889 * [taylor]: Taking taylor expansion of (log lambda1) in phi1
74.889 * [taylor]: Taking taylor expansion of lambda1 in phi1
74.889 * [backup-simplify]: Simplify lambda1 into lambda1
74.889 * [backup-simplify]: Simplify (log lambda1) into (log lambda1)
74.890 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
74.890 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
74.890 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.890 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.890 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.890 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2
74.890 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2
74.890 * [taylor]: Taking taylor expansion of 1/3 in phi2
74.890 * [backup-simplify]: Simplify 1/3 into 1/3
74.890 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2
74.890 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2
74.890 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2
74.890 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2
74.890 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2
74.890 * [taylor]: Taking taylor expansion of -1/2 in phi2
74.890 * [backup-simplify]: Simplify -1/2 into -1/2
74.890 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2
74.890 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
74.890 * [taylor]: Taking taylor expansion of phi1 in phi2
74.890 * [backup-simplify]: Simplify phi1 into phi1
74.890 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.890 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
74.890 * [taylor]: Taking taylor expansion of phi2 in phi2
74.890 * [backup-simplify]: Simplify 0 into 0
74.890 * [backup-simplify]: Simplify 1 into 1
74.891 * [backup-simplify]: Simplify (/ 1 1) into 1
74.891 * [backup-simplify]: Simplify (+ 0 1) into 1
74.891 * [backup-simplify]: Simplify (* -1/2 1) into -1/2
74.891 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.891 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.892 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.892 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in phi2
74.892 * [taylor]: Taking taylor expansion of 2 in phi2
74.892 * [backup-simplify]: Simplify 2 into 2
74.892 * [taylor]: Taking taylor expansion of (log lambda1) in phi2
74.892 * [taylor]: Taking taylor expansion of lambda1 in phi2
74.892 * [backup-simplify]: Simplify lambda1 into lambda1
74.892 * [backup-simplify]: Simplify (log lambda1) into (log lambda1)
74.892 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
74.892 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
74.892 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.892 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.892 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.892 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
74.893 * [backup-simplify]: Simplify (- 0) into 0
74.893 * [backup-simplify]: Simplify (+ (/ 1 lambda2) 0) into (/ 1 lambda2)
74.893 * [backup-simplify]: Simplify (+ (* -1 (/ 1 lambda2)) (* (/ 1 lambda2) -1)) into (- (* 2 (/ 1 lambda2)))
74.894 * [backup-simplify]: Simplify (+ 0) into 0
74.894 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
74.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
74.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
74.894 * [backup-simplify]: Simplify (+ 0 0) into 0
74.895 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
74.895 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
74.895 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
74.896 * [backup-simplify]: Simplify (- 0) into 0
74.896 * [backup-simplify]: Simplify (+ 0 0) into 0
74.896 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
74.897 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (- (* 2 (/ 1 lambda2)))) (* 0 1)) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))
74.897 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2)
74.897 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.897 * [backup-simplify]: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2)))
74.898 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2))
74.898 * [taylor]: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2
74.898 * [taylor]: Taking taylor expansion of -2/3 in lambda2
74.898 * [backup-simplify]: Simplify -2/3 into -2/3
74.898 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2
74.898 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2
74.898 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2
74.898 * [taylor]: Taking taylor expansion of 1/3 in lambda2
74.898 * [backup-simplify]: Simplify 1/3 into 1/3
74.898 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2
74.898 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2
74.898 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
74.898 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
74.898 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
74.898 * [taylor]: Taking taylor expansion of -1/2 in lambda2
74.898 * [backup-simplify]: Simplify -1/2 into -1/2
74.898 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
74.898 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
74.898 * [taylor]: Taking taylor expansion of phi1 in lambda2
74.898 * [backup-simplify]: Simplify phi1 into phi1
74.898 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.898 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
74.898 * [taylor]: Taking taylor expansion of phi2 in lambda2
74.898 * [backup-simplify]: Simplify phi2 into phi2
74.898 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.898 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
74.898 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
74.898 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.898 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.899 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.899 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
74.899 * [backup-simplify]: Simplify (- 0) into 0
74.899 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.899 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.899 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.899 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2
74.899 * [taylor]: Taking taylor expansion of 2 in lambda2
74.899 * [backup-simplify]: Simplify 2 into 2
74.899 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2
74.899 * [taylor]: Taking taylor expansion of lambda1 in lambda2
74.899 * [backup-simplify]: Simplify lambda1 into lambda1
74.899 * [backup-simplify]: Simplify (log lambda1) into (log lambda1)
74.899 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
74.899 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
74.900 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.900 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.900 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.900 * [taylor]: Taking taylor expansion of lambda2 in lambda2
74.900 * [backup-simplify]: Simplify 0 into 0
74.900 * [backup-simplify]: Simplify 1 into 1
74.900 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.900 * [backup-simplify]: Simplify (+ 0) into 0
74.901 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
74.901 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
74.901 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
74.901 * [backup-simplify]: Simplify (+ 0 0) into 0
74.902 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
74.902 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
74.902 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
74.903 * [backup-simplify]: Simplify (- 0) into 0
74.903 * [backup-simplify]: Simplify (+ 0 0) into 0
74.903 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
74.904 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
74.904 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
74.904 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
74.905 * [backup-simplify]: Simplify (- 0) into 0
74.905 * [backup-simplify]: Simplify (+ 0 0) into 0
74.905 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
74.906 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
74.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0
74.909 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into 0
74.909 * [taylor]: Taking taylor expansion of 0 in phi1
74.909 * [backup-simplify]: Simplify 0 into 0
74.909 * [taylor]: Taking taylor expansion of 0 in phi2
74.909 * [backup-simplify]: Simplify 0 into 0
74.909 * [backup-simplify]: Simplify 0 into 0
74.909 * [backup-simplify]: Simplify (+ 0) into 0
74.910 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
74.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
74.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
74.910 * [backup-simplify]: Simplify (+ 0 0) into 0
74.910 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
74.911 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
74.911 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
74.911 * [backup-simplify]: Simplify (- 0) into 0
74.912 * [backup-simplify]: Simplify (+ 0 0) into 0
74.912 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
74.912 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
74.913 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
74.914 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
74.914 * [backup-simplify]: Simplify (- 0) into 0
74.914 * [backup-simplify]: Simplify (+ 0 0) into 0
74.914 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
74.915 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
74.915 * [taylor]: Taking taylor expansion of 0 in phi1
74.915 * [backup-simplify]: Simplify 0 into 0
74.915 * [taylor]: Taking taylor expansion of 0 in phi2
74.915 * [backup-simplify]: Simplify 0 into 0
74.915 * [backup-simplify]: Simplify 0 into 0
74.915 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
74.916 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
74.916 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
74.917 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
74.917 * [backup-simplify]: Simplify (- 0) into 0
74.917 * [backup-simplify]: Simplify (+ 0 0) into 0
74.918 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
74.918 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
74.918 * [taylor]: Taking taylor expansion of 0 in phi2
74.919 * [backup-simplify]: Simplify 0 into 0
74.919 * [backup-simplify]: Simplify 0 into 0
74.919 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
74.919 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
74.920 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
74.920 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
74.920 * [backup-simplify]: Simplify (- 0) into 0
74.921 * [backup-simplify]: Simplify (+ 0 0) into 0
74.921 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
74.922 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
74.922 * [backup-simplify]: Simplify 0 into 0
74.922 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
74.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
74.923 * [backup-simplify]: Simplify (- 0) into 0
74.923 * [backup-simplify]: Simplify (+ 0 0) into 0
74.924 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) (/ 1 lambda2)) (* 0 -1))) into (/ 1 (pow lambda2 2))
74.924 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
74.925 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
74.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
74.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
74.925 * [backup-simplify]: Simplify (+ 0 0) into 0
74.926 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
74.926 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
74.927 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
74.927 * [backup-simplify]: Simplify (- 0) into 0
74.928 * [backup-simplify]: Simplify (+ 0 0) into 0
74.928 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
74.929 * [backup-simplify]: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 1 (pow lambda2 2))) (+ (* 0 (- (* 2 (/ 1 lambda2)))) (* 0 1))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))
74.931 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2))
74.931 * [backup-simplify]: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.932 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2))))
74.932 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)))
74.932 * [taylor]: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) in lambda2
74.932 * [taylor]: Taking taylor expansion of -1/9 in lambda2
74.932 * [backup-simplify]: Simplify -1/9 into -1/9
74.932 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)) in lambda2
74.932 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2
74.932 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2
74.932 * [taylor]: Taking taylor expansion of 1/3 in lambda2
74.933 * [backup-simplify]: Simplify 1/3 into 1/3
74.933 * [taylor]: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2
74.933 * [taylor]: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2
74.933 * [taylor]: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2
74.933 * [taylor]: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2
74.933 * [taylor]: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2
74.933 * [taylor]: Taking taylor expansion of -1/2 in lambda2
74.933 * [backup-simplify]: Simplify -1/2 into -1/2
74.933 * [taylor]: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2
74.933 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2
74.933 * [taylor]: Taking taylor expansion of phi1 in lambda2
74.933 * [backup-simplify]: Simplify phi1 into phi1
74.933 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
74.933 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2
74.933 * [taylor]: Taking taylor expansion of phi2 in lambda2
74.933 * [backup-simplify]: Simplify phi2 into phi2
74.933 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
74.933 * [backup-simplify]: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2))
74.933 * [backup-simplify]: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))
74.933 * [backup-simplify]: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.934 * [backup-simplify]: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.934 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.934 * [backup-simplify]: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0
74.934 * [backup-simplify]: Simplify (- 0) into 0
74.935 * [backup-simplify]: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))
74.935 * [backup-simplify]: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)
74.935 * [backup-simplify]: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))
74.935 * [taylor]: Taking taylor expansion of (* 2 (log lambda1)) in lambda2
74.935 * [taylor]: Taking taylor expansion of 2 in lambda2
74.935 * [backup-simplify]: Simplify 2 into 2
74.935 * [taylor]: Taking taylor expansion of (log lambda1) in lambda2
74.935 * [taylor]: Taking taylor expansion of lambda1 in lambda2
74.935 * [backup-simplify]: Simplify lambda1 into lambda1
74.935 * [backup-simplify]: Simplify (log lambda1) into (log lambda1)
74.935 * [backup-simplify]: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1))
74.935 * [backup-simplify]: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1)))
74.936 * [backup-simplify]: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))
74.936 * [backup-simplify]: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))
74.936 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.936 * [taylor]: Taking taylor expansion of (pow lambda2 2) in lambda2
74.936 * [taylor]: Taking taylor expansion of lambda2 in lambda2
74.936 * [backup-simplify]: Simplify 0 into 0
74.936 * [backup-simplify]: Simplify 1 into 1
74.937 * [backup-simplify]: Simplify (* 1 1) into 1
74.937 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))
74.938 * [backup-simplify]: Simplify (+ 0) into 0
74.938 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0
74.938 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
74.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
74.939 * [backup-simplify]: Simplify (+ 0 0) into 0
74.940 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0
74.940 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
74.941 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0
74.941 * [backup-simplify]: Simplify (- 0) into 0
74.942 * [backup-simplify]: Simplify (+ 0 0) into 0
74.942 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0
74.943 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0
74.944 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0
74.944 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0
74.945 * [backup-simplify]: Simplify (- 0) into 0
74.945 * [backup-simplify]: Simplify (+ 0 0) into 0
74.946 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0
74.947 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
74.947 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
74.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
74.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
74.948 * [backup-simplify]: Simplify (+ 0 0) into 0
74.949 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
74.950 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
74.950 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
74.951 * [backup-simplify]: Simplify (- 0) into 0
74.951 * [backup-simplify]: Simplify (+ 0 0) into 0
74.952 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
74.954 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0
74.955 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0
74.956 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0
74.956 * [backup-simplify]: Simplify (- 0) into 0
74.957 * [backup-simplify]: Simplify (+ 0 0) into 0
74.958 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0
74.959 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
74.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
74.961 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0
74.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
74.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0
74.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
74.966 * [backup-simplify]: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0
74.966 * [taylor]: Taking taylor expansion of 0 in phi1
74.966 * [backup-simplify]: Simplify 0 into 0
74.966 * [taylor]: Taking taylor expansion of 0 in phi2
74.966 * [backup-simplify]: Simplify 0 into 0
74.966 * [backup-simplify]: Simplify 0 into 0
74.967 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
74.968 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0
74.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
74.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
74.968 * [backup-simplify]: Simplify (+ 0 0) into 0
74.969 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0
74.970 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
74.971 * [backup-simplify]: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0
74.971 * [backup-simplify]: Simplify (- 0) into 0
74.972 * [backup-simplify]: Simplify (+ 0 0) into 0
74.972 * [backup-simplify]: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0
74.974 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0
74.976 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0
74.977 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0
74.977 * [backup-simplify]: Simplify (- 0) into 0
74.977 * [backup-simplify]: Simplify (+ 0 0) into 0
74.979 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0
74.980 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
74.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
74.983 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0
74.983 * [taylor]: Taking taylor expansion of 0 in phi1
74.983 * [backup-simplify]: Simplify 0 into 0
74.983 * [taylor]: Taking taylor expansion of 0 in phi2
74.983 * [backup-simplify]: Simplify 0 into 0
74.983 * [backup-simplify]: Simplify 0 into 0
74.983 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) 2)) (* 2 (log (/ 1 (- lambda1))))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ -1 lambda1))))))
74.984 * * * [progress]: simplifying candidates
74.984 * * * * [progress]: [ 1 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (pow (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))) 1/2)))>
74.984 * * * * [progress]: [ 2 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (pow (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))) 1)))>
74.984 * * * * [progress]: [ 3 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (exp (log (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))))>
74.984 * [simplify]: Simplifying (log (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))
74.985 * * [simplify]: iters left: 6 (19 enodes)
74.993 * * [simplify]: iters left: 5 (72 enodes)
75.014 * * [simplify]: iters left: 4 (123 enodes)
75.071 * * [simplify]: iters left: 3 (330 enodes)
75.280 * * [simplify]: Extracting #0: cost 1 inf + 0
75.280 * * [simplify]: Extracting #1: cost 3 inf + 0
75.280 * * [simplify]: Extracting #2: cost 5 inf + 0
75.280 * * [simplify]: Extracting #3: cost 21 inf + 0
75.281 * * [simplify]: Extracting #4: cost 149 inf + 0
75.282 * * [simplify]: Extracting #5: cost 213 inf + 46
75.284 * * [simplify]: Extracting #6: cost 217 inf + 1322
75.293 * * [simplify]: Extracting #7: cost 121 inf + 20900
75.310 * * [simplify]: Extracting #8: cost 13 inf + 55085
75.324 * * [simplify]: Extracting #9: cost 0 inf + 60712
75.338 * [simplify]: Simplified to (log (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))
75.338 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (exp (log (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))))
75.339 * * * * [progress]: [ 4 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (log (exp (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))))>
75.339 * [simplify]: Simplifying (exp (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))
75.339 * * [simplify]: iters left: 6 (19 enodes)
75.348 * * [simplify]: iters left: 5 (72 enodes)
75.366 * * [simplify]: iters left: 4 (123 enodes)
75.401 * * [simplify]: iters left: 3 (330 enodes)
75.541 * * [simplify]: Extracting #0: cost 1 inf + 0
75.541 * * [simplify]: Extracting #1: cost 3 inf + 0
75.541 * * [simplify]: Extracting #2: cost 5 inf + 0
75.541 * * [simplify]: Extracting #3: cost 21 inf + 0
75.542 * * [simplify]: Extracting #4: cost 149 inf + 0
75.543 * * [simplify]: Extracting #5: cost 213 inf + 46
75.544 * * [simplify]: Extracting #6: cost 217 inf + 1322
75.548 * * [simplify]: Extracting #7: cost 121 inf + 20900
75.560 * * [simplify]: Extracting #8: cost 13 inf + 55085
75.578 * * [simplify]: Extracting #9: cost 0 inf + 60712
75.605 * [simplify]: Simplified to (exp (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))
75.605 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (log (exp (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))))
75.605 * * * * [progress]: [ 5 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (* (* (cbrt (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))))>
75.606 * [simplify]: Simplifying (* (cbrt (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))
75.606 * * [simplify]: iters left: 6 (20 enodes)
75.615 * * [simplify]: iters left: 5 (75 enodes)
75.639 * * [simplify]: iters left: 4 (126 enodes)
75.678 * * [simplify]: iters left: 3 (333 enodes)
75.834 * * [simplify]: Extracting #0: cost 1 inf + 0
75.834 * * [simplify]: Extracting #1: cost 3 inf + 0
75.834 * * [simplify]: Extracting #2: cost 5 inf + 0
75.834 * * [simplify]: Extracting #3: cost 7 inf + 0
75.834 * * [simplify]: Extracting #4: cost 23 inf + 0
75.835 * * [simplify]: Extracting #5: cost 151 inf + 0
75.836 * * [simplify]: Extracting #6: cost 214 inf + 86
75.838 * * [simplify]: Extracting #7: cost 212 inf + 2416
75.844 * * [simplify]: Extracting #8: cost 148 inf + 13838
75.863 * * [simplify]: Extracting #9: cost 20 inf + 54814
75.877 * * [simplify]: Extracting #10: cost 1 inf + 61599
75.892 * * [simplify]: Extracting #11: cost 0 inf + 62144
75.921 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))
75.921 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (* (cbrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (cbrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))) (cbrt (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))))
75.922 * [simplify]: Simplifying (cbrt (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))
75.922 * * [simplify]: iters left: 6 (19 enodes)
75.929 * * [simplify]: iters left: 5 (72 enodes)
75.940 * * [simplify]: iters left: 4 (123 enodes)
75.986 * * [simplify]: iters left: 3 (330 enodes)
76.173 * * [simplify]: Extracting #0: cost 1 inf + 0
76.173 * * [simplify]: Extracting #1: cost 3 inf + 0
76.173 * * [simplify]: Extracting #2: cost 5 inf + 0
76.173 * * [simplify]: Extracting #3: cost 21 inf + 0
76.174 * * [simplify]: Extracting #4: cost 149 inf + 0
76.175 * * [simplify]: Extracting #5: cost 213 inf + 46
76.177 * * [simplify]: Extracting #6: cost 217 inf + 1322
76.186 * * [simplify]: Extracting #7: cost 121 inf + 20900
76.205 * * [simplify]: Extracting #8: cost 13 inf + 55095
76.229 * * [simplify]: Extracting #9: cost 0 inf + 60732
76.254 * [simplify]: Simplified to (cbrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))
76.254 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (* (cbrt (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) (cbrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))))
76.255 * * * * [progress]: [ 6 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (cbrt (* (* (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))))>
76.255 * [simplify]: Simplifying (* (* (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))
76.256 * * [simplify]: iters left: 6 (20 enodes)
76.264 * * [simplify]: iters left: 5 (74 enodes)
76.285 * * [simplify]: iters left: 4 (135 enodes)
76.331 * * [simplify]: iters left: 3 (376 enodes)
76.507 * * [simplify]: Extracting #0: cost 1 inf + 0
76.507 * * [simplify]: Extracting #1: cost 14 inf + 0
76.507 * * [simplify]: Extracting #2: cost 91 inf + 1
76.508 * * [simplify]: Extracting #3: cost 240 inf + 3
76.509 * * [simplify]: Extracting #4: cost 274 inf + 832
76.510 * * [simplify]: Extracting #5: cost 237 inf + 4698
76.517 * * [simplify]: Extracting #6: cost 171 inf + 19714
76.529 * * [simplify]: Extracting #7: cost 52 inf + 61047
76.556 * * [simplify]: Extracting #8: cost 2 inf + 86202
76.584 * * [simplify]: Extracting #9: cost 0 inf + 87543
76.604 * [simplify]: Simplified to (* (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))
76.604 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (cbrt (* (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))))
76.605 * * * * [progress]: [ 7 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))))>
76.605 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))
76.605 * * [simplify]: iters left: 6 (20 enodes)
76.610 * * [simplify]: iters left: 5 (76 enodes)
76.624 * * [simplify]: iters left: 4 (127 enodes)
76.680 * * [simplify]: iters left: 3 (334 enodes)
76.852 * * [simplify]: Extracting #0: cost 1 inf + 0
76.852 * * [simplify]: Extracting #1: cost 4 inf + 0
76.852 * * [simplify]: Extracting #2: cost 7 inf + 0
76.852 * * [simplify]: Extracting #3: cost 24 inf + 0
76.853 * * [simplify]: Extracting #4: cost 150 inf + 0
76.853 * * [simplify]: Extracting #5: cost 212 inf + 46
76.854 * * [simplify]: Extracting #6: cost 214 inf + 1524
76.857 * * [simplify]: Extracting #7: cost 141 inf + 14917
76.871 * * [simplify]: Extracting #8: cost 12 inf + 56183
76.896 * * [simplify]: Extracting #9: cost 1 inf + 59986
76.916 * * [simplify]: Extracting #10: cost 0 inf + 60542
76.932 * [simplify]: Simplified to (fabs (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))
76.932 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (fabs (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (cbrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))))
76.932 * [simplify]: Simplifying (sqrt (cbrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))
76.932 * * [simplify]: iters left: 6 (19 enodes)
76.937 * * [simplify]: iters left: 5 (72 enodes)
76.959 * * [simplify]: iters left: 4 (123 enodes)
77.001 * * [simplify]: iters left: 3 (330 enodes)
77.157 * * [simplify]: Extracting #0: cost 1 inf + 0
77.157 * * [simplify]: Extracting #1: cost 3 inf + 0
77.157 * * [simplify]: Extracting #2: cost 5 inf + 0
77.157 * * [simplify]: Extracting #3: cost 21 inf + 0
77.158 * * [simplify]: Extracting #4: cost 149 inf + 0
77.159 * * [simplify]: Extracting #5: cost 213 inf + 46
77.161 * * [simplify]: Extracting #6: cost 217 inf + 1322
77.169 * * [simplify]: Extracting #7: cost 121 inf + 20900
77.191 * * [simplify]: Extracting #8: cost 13 inf + 55135
77.219 * * [simplify]: Extracting #9: cost 0 inf + 60812
77.247 * [simplify]: Simplified to (sqrt (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))
77.247 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (* (cbrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))))
77.247 * * * * [progress]: [ 8 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))))>
77.248 * [simplify]: Simplifying (sqrt (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))
77.248 * * [simplify]: iters left: 6 (19 enodes)
77.257 * * [simplify]: iters left: 5 (72 enodes)
77.280 * * [simplify]: iters left: 4 (123 enodes)
77.316 * * [simplify]: iters left: 3 (330 enodes)
77.484 * * [simplify]: Extracting #0: cost 1 inf + 0
77.484 * * [simplify]: Extracting #1: cost 3 inf + 0
77.484 * * [simplify]: Extracting #2: cost 5 inf + 0
77.484 * * [simplify]: Extracting #3: cost 21 inf + 0
77.485 * * [simplify]: Extracting #4: cost 149 inf + 0
77.486 * * [simplify]: Extracting #5: cost 213 inf + 46
77.488 * * [simplify]: Extracting #6: cost 217 inf + 1322
77.496 * * [simplify]: Extracting #7: cost 121 inf + 20900
77.519 * * [simplify]: Extracting #8: cost 13 inf + 55055
77.549 * * [simplify]: Extracting #9: cost 0 inf + 60652
77.576 * [simplify]: Simplified to (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))
77.577 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))))
77.577 * [simplify]: Simplifying (sqrt (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))
77.578 * * [simplify]: iters left: 6 (19 enodes)
77.587 * * [simplify]: iters left: 5 (72 enodes)
77.599 * * [simplify]: iters left: 4 (123 enodes)
77.634 * * [simplify]: iters left: 3 (330 enodes)
77.772 * * [simplify]: Extracting #0: cost 1 inf + 0
77.772 * * [simplify]: Extracting #1: cost 3 inf + 0
77.773 * * [simplify]: Extracting #2: cost 5 inf + 0
77.773 * * [simplify]: Extracting #3: cost 21 inf + 0
77.773 * * [simplify]: Extracting #4: cost 149 inf + 0
77.774 * * [simplify]: Extracting #5: cost 213 inf + 46
77.776 * * [simplify]: Extracting #6: cost 217 inf + 1322
77.784 * * [simplify]: Extracting #7: cost 121 inf + 20900
77.800 * * [simplify]: Extracting #8: cost 13 inf + 55055
77.813 * * [simplify]: Extracting #9: cost 0 inf + 60652
77.835 * [simplify]: Simplified to (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))
77.835 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))))
77.835 * * * * [progress]: [ 9 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt 1) (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))))>
77.835 * [simplify]: Simplifying (sqrt 1)
77.836 * * [simplify]: iters left: 1 (2 enodes)
77.839 * * [simplify]: Extracting #0: cost 1 inf + 0
77.839 * * [simplify]: Extracting #1: cost 0 inf + 1
77.839 * [simplify]: Simplified to 1
77.839 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* 1 (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))))
77.839 * [simplify]: Simplifying (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))
77.840 * * [simplify]: iters left: 6 (18 enodes)
77.848 * * [simplify]: iters left: 5 (69 enodes)
77.869 * * [simplify]: iters left: 4 (120 enodes)
77.922 * * [simplify]: iters left: 3 (327 enodes)
78.078 * * [simplify]: Extracting #0: cost 1 inf + 0
78.078 * * [simplify]: Extracting #1: cost 3 inf + 0
78.078 * * [simplify]: Extracting #2: cost 19 inf + 0
78.078 * * [simplify]: Extracting #3: cost 144 inf + 0
78.079 * * [simplify]: Extracting #4: cost 210 inf + 46
78.080 * * [simplify]: Extracting #5: cost 207 inf + 3100
78.084 * * [simplify]: Extracting #6: cost 144 inf + 14224
78.101 * * [simplify]: Extracting #7: cost 14 inf + 54475
78.124 * * [simplify]: Extracting #8: cost 0 inf + 59884
78.137 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))
78.137 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* 1 (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))))))
78.137 * * * * [progress]: [ 10 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
78.138 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
78.138 * * [simplify]: iters left: 6 (40 enodes)
78.149 * * [simplify]: iters left: 5 (189 enodes)
78.201 * * [simplify]: Extracting #0: cost 1 inf + 0
78.201 * * [simplify]: Extracting #1: cost 3 inf + 0
78.201 * * [simplify]: Extracting #2: cost 6 inf + 0
78.201 * * [simplify]: Extracting #3: cost 44 inf + 0
78.202 * * [simplify]: Extracting #4: cost 103 inf + 0
78.202 * * [simplify]: Extracting #5: cost 154 inf + 1
78.203 * * [simplify]: Extracting #6: cost 208 inf + 632
78.205 * * [simplify]: Extracting #7: cost 200 inf + 4043
78.212 * * [simplify]: Extracting #8: cost 107 inf + 27728
78.235 * * [simplify]: Extracting #9: cost 23 inf + 64138
78.265 * * [simplify]: Extracting #10: cost 2 inf + 79552
78.287 * * [simplify]: Extracting #11: cost 0 inf + 79852
78.307 * * [simplify]: Extracting #12: cost 0 inf + 79551
78.329 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))
78.329 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
78.330 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
78.330 * * [simplify]: iters left: 6 (21 enodes)
78.338 * * [simplify]: iters left: 5 (95 enodes)
78.376 * * [simplify]: iters left: 4 (302 enodes)
78.638 * * [simplify]: Extracting #0: cost 1 inf + 0
78.638 * * [simplify]: Extracting #1: cost 3 inf + 0
78.639 * * [simplify]: Extracting #2: cost 33 inf + 0
78.640 * * [simplify]: Extracting #3: cost 258 inf + 0
78.643 * * [simplify]: Extracting #4: cost 453 inf + 774
78.658 * * [simplify]: Extracting #5: cost 297 inf + 39012
78.713 * * [simplify]: Extracting #6: cost 53 inf + 118764
78.791 * * [simplify]: Extracting #7: cost 1 inf + 140278
78.840 * * [simplify]: Extracting #8: cost 0 inf + 138402
78.886 * * [simplify]: Extracting #9: cost 0 inf + 138322
78.938 * [simplify]: Simplified to (sqrt (* (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))
78.938 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (sqrt (* (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))))
78.939 * * * * [progress]: [ 11 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
78.939 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
78.939 * * [simplify]: iters left: 6 (41 enodes)
78.953 * * [simplify]: iters left: 5 (198 enodes)
79.012 * * [simplify]: Extracting #0: cost 1 inf + 0
79.012 * * [simplify]: Extracting #1: cost 3 inf + 0
79.012 * * [simplify]: Extracting #2: cost 6 inf + 0
79.012 * * [simplify]: Extracting #3: cost 48 inf + 0
79.013 * * [simplify]: Extracting #4: cost 126 inf + 0
79.013 * * [simplify]: Extracting #5: cost 168 inf + 45
79.015 * * [simplify]: Extracting #6: cost 208 inf + 2052
79.018 * * [simplify]: Extracting #7: cost 177 inf + 10874
79.027 * * [simplify]: Extracting #8: cost 107 inf + 30647
79.039 * * [simplify]: Extracting #9: cost 37 inf + 59040
79.053 * * [simplify]: Extracting #10: cost 18 inf + 72586
79.084 * * [simplify]: Extracting #11: cost 3 inf + 80988
79.116 * * [simplify]: Extracting #12: cost 0 inf + 81288
79.152 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))
79.152 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
79.154 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
79.154 * * [simplify]: iters left: 6 (22 enodes)
79.161 * * [simplify]: iters left: 5 (99 enodes)
79.181 * * [simplify]: iters left: 4 (299 enodes)
79.367 * * [simplify]: Extracting #0: cost 1 inf + 0
79.368 * * [simplify]: Extracting #1: cost 3 inf + 0
79.368 * * [simplify]: Extracting #2: cost 55 inf + 0
79.369 * * [simplify]: Extracting #3: cost 268 inf + 0
79.372 * * [simplify]: Extracting #4: cost 387 inf + 415
79.386 * * [simplify]: Extracting #5: cost 267 inf + 31196
79.429 * * [simplify]: Extracting #6: cost 58 inf + 98256
79.503 * * [simplify]: Extracting #7: cost 0 inf + 123230
79.535 * * [simplify]: Extracting #8: cost 0 inf + 120550
79.576 * [simplify]: Simplified to (sqrt (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))
79.576 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (sqrt (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))))
79.576 * * * * [progress]: [ 12 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
79.577 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
79.577 * * [simplify]: iters left: 6 (41 enodes)
79.589 * * [simplify]: iters left: 5 (198 enodes)
79.644 * * [simplify]: Extracting #0: cost 1 inf + 0
79.644 * * [simplify]: Extracting #1: cost 3 inf + 0
79.644 * * [simplify]: Extracting #2: cost 6 inf + 0
79.644 * * [simplify]: Extracting #3: cost 50 inf + 0
79.644 * * [simplify]: Extracting #4: cost 124 inf + 0
79.645 * * [simplify]: Extracting #5: cost 164 inf + 45
79.647 * * [simplify]: Extracting #6: cost 204 inf + 2482
79.651 * * [simplify]: Extracting #7: cost 170 inf + 11939
79.657 * * [simplify]: Extracting #8: cost 117 inf + 19457
79.673 * * [simplify]: Extracting #9: cost 57 inf + 44757
79.706 * * [simplify]: Extracting #10: cost 2 inf + 79635
79.726 * * [simplify]: Extracting #11: cost 0 inf + 79080
79.751 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))
79.751 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
79.753 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
79.753 * * [simplify]: iters left: 6 (22 enodes)
79.761 * * [simplify]: iters left: 5 (99 enodes)
79.780 * * [simplify]: iters left: 4 (297 enodes)
79.965 * * [simplify]: Extracting #0: cost 1 inf + 0
79.965 * * [simplify]: Extracting #1: cost 3 inf + 0
79.965 * * [simplify]: Extracting #2: cost 49 inf + 0
79.966 * * [simplify]: Extracting #3: cost 251 inf + 0
79.967 * * [simplify]: Extracting #4: cost 364 inf + 667
79.973 * * [simplify]: Extracting #5: cost 242 inf + 29050
80.005 * * [simplify]: Extracting #6: cost 47 inf + 93086
80.045 * * [simplify]: Extracting #7: cost 0 inf + 112313
80.096 * * [simplify]: Extracting #8: cost 0 inf + 109873
80.129 * [simplify]: Simplified to (sqrt (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1))))
80.129 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)))))))
80.130 * * * * [progress]: [ 13 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
80.131 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
80.131 * * [simplify]: iters left: 6 (35 enodes)
80.150 * * [simplify]: iters left: 5 (162 enodes)
80.215 * * [simplify]: iters left: 4 (440 enodes)
80.412 * * [simplify]: Extracting #0: cost 1 inf + 0
80.412 * * [simplify]: Extracting #1: cost 3 inf + 0
80.412 * * [simplify]: Extracting #2: cost 16 inf + 0
80.412 * * [simplify]: Extracting #3: cost 130 inf + 0
80.413 * * [simplify]: Extracting #4: cost 328 inf + 86
80.415 * * [simplify]: Extracting #5: cost 404 inf + 5935
80.424 * * [simplify]: Extracting #6: cost 452 inf + 17591
80.432 * * [simplify]: Extracting #7: cost 332 inf + 41472
80.467 * * [simplify]: Extracting #8: cost 166 inf + 108446
80.512 * * [simplify]: Extracting #9: cost 21 inf + 178355
80.593 * * [simplify]: Extracting #10: cost 0 inf + 187933
80.642 * * [simplify]: Extracting #11: cost 0 inf + 187893
80.703 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ phi2 phi1)))))
80.703 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
80.704 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))
80.704 * * [simplify]: iters left: 6 (17 enodes)
80.708 * * [simplify]: iters left: 5 (77 enodes)
80.736 * * [simplify]: iters left: 4 (227 enodes)
80.876 * * [simplify]: Extracting #0: cost 1 inf + 0
80.876 * * [simplify]: Extracting #1: cost 3 inf + 0
80.876 * * [simplify]: Extracting #2: cost 23 inf + 0
80.877 * * [simplify]: Extracting #3: cost 129 inf + 0
80.879 * * [simplify]: Extracting #4: cost 212 inf + 821
80.884 * * [simplify]: Extracting #5: cost 159 inf + 12893
80.902 * * [simplify]: Extracting #6: cost 44 inf + 38961
80.926 * * [simplify]: Extracting #7: cost 4 inf + 53424
80.944 * * [simplify]: Extracting #8: cost 0 inf + 54200
80.961 * * [simplify]: Extracting #9: cost 0 inf + 53480
80.989 * [simplify]: Simplified to (sqrt (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))
80.989 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ phi2 phi1))))) (sqrt (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))
80.990 * * * * [progress]: [ 14 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
80.990 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
80.991 * * [simplify]: iters left: 6 (40 enodes)
81.012 * * [simplify]: iters left: 5 (190 enodes)
81.093 * * [simplify]: iters left: 4 (494 enodes)
81.287 * * [simplify]: Extracting #0: cost 1 inf + 0
81.287 * * [simplify]: Extracting #1: cost 3 inf + 0
81.287 * * [simplify]: Extracting #2: cost 18 inf + 0
81.287 * * [simplify]: Extracting #3: cost 128 inf + 0
81.288 * * [simplify]: Extracting #4: cost 335 inf + 85
81.290 * * [simplify]: Extracting #5: cost 469 inf + 2271
81.294 * * [simplify]: Extracting #6: cost 488 inf + 23257
81.308 * * [simplify]: Extracting #7: cost 270 inf + 88267
81.342 * * [simplify]: Extracting #8: cost 93 inf + 162417
81.400 * * [simplify]: Extracting #9: cost 18 inf + 209821
81.489 * * [simplify]: Extracting #10: cost 0 inf + 223082
81.550 * * [simplify]: Extracting #11: cost 0 inf + 223042
81.624 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2)))))
81.624 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
81.625 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
81.625 * * [simplify]: iters left: 6 (20 enodes)
81.635 * * [simplify]: iters left: 5 (90 enodes)
81.670 * * [simplify]: iters left: 4 (238 enodes)
81.774 * * [simplify]: Extracting #0: cost 1 inf + 0
81.774 * * [simplify]: Extracting #1: cost 3 inf + 0
81.774 * * [simplify]: Extracting #2: cost 22 inf + 0
81.774 * * [simplify]: Extracting #3: cost 100 inf + 0
81.776 * * [simplify]: Extracting #4: cost 200 inf + 495
81.780 * * [simplify]: Extracting #5: cost 155 inf + 9777
81.797 * * [simplify]: Extracting #6: cost 38 inf + 40363
81.830 * * [simplify]: Extracting #7: cost 4 inf + 52318
81.855 * * [simplify]: Extracting #8: cost 0 inf + 53174
81.871 * * [simplify]: Extracting #9: cost 0 inf + 52294
81.891 * [simplify]: Simplified to (sqrt (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))
81.891 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))) (- phi1 phi2))))) (sqrt (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))
81.891 * * * * [progress]: [ 15 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
81.892 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
81.892 * * [simplify]: iters left: 6 (35 enodes)
81.911 * * [simplify]: iters left: 5 (162 enodes)
81.976 * * [simplify]: iters left: 4 (421 enodes)
82.167 * * [simplify]: Extracting #0: cost 1 inf + 0
82.168 * * [simplify]: Extracting #1: cost 3 inf + 0
82.168 * * [simplify]: Extracting #2: cost 13 inf + 0
82.168 * * [simplify]: Extracting #3: cost 90 inf + 0
82.169 * * [simplify]: Extracting #4: cost 257 inf + 85
82.172 * * [simplify]: Extracting #5: cost 382 inf + 2530
82.179 * * [simplify]: Extracting #6: cost 442 inf + 11881
82.189 * * [simplify]: Extracting #7: cost 307 inf + 41637
82.209 * * [simplify]: Extracting #8: cost 146 inf + 96442
82.244 * * [simplify]: Extracting #9: cost 29 inf + 153174
82.292 * * [simplify]: Extracting #10: cost 1 inf + 168495
82.328 * * [simplify]: Extracting #11: cost 0 inf + 169360
82.374 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))
82.375 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
82.376 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
82.376 * * [simplify]: iters left: 6 (16 enodes)
82.383 * * [simplify]: iters left: 5 (72 enodes)
82.404 * * [simplify]: iters left: 4 (181 enodes)
82.477 * * [simplify]: Extracting #0: cost 1 inf + 0
82.477 * * [simplify]: Extracting #1: cost 3 inf + 0
82.477 * * [simplify]: Extracting #2: cost 12 inf + 0
82.478 * * [simplify]: Extracting #3: cost 57 inf + 0
82.478 * * [simplify]: Extracting #4: cost 139 inf + 87
82.480 * * [simplify]: Extracting #5: cost 141 inf + 1517
82.486 * * [simplify]: Extracting #6: cost 45 inf + 19750
82.496 * * [simplify]: Extracting #7: cost 3 inf + 29941
82.504 * * [simplify]: Extracting #8: cost 0 inf + 30312
82.512 * * [simplify]: Extracting #9: cost 0 inf + 30192
82.521 * [simplify]: Simplified to (sqrt (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ phi2 phi1)))
82.521 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ phi2 phi1))))))
82.521 * * * * [progress]: [ 16 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
82.521 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
82.522 * * [simplify]: iters left: 6 (40 enodes)
82.532 * * [simplify]: iters left: 5 (190 enodes)
82.587 * * [simplify]: iters left: 4 (494 enodes)
82.866 * * [simplify]: Extracting #0: cost 1 inf + 0
82.866 * * [simplify]: Extracting #1: cost 3 inf + 0
82.866 * * [simplify]: Extracting #2: cost 18 inf + 0
82.867 * * [simplify]: Extracting #3: cost 112 inf + 0
82.868 * * [simplify]: Extracting #4: cost 298 inf + 44
82.877 * * [simplify]: Extracting #5: cost 464 inf + 2168
82.884 * * [simplify]: Extracting #6: cost 516 inf + 14373
82.906 * * [simplify]: Extracting #7: cost 313 inf + 73993
82.968 * * [simplify]: Extracting #8: cost 81 inf + 177858
83.049 * * [simplify]: Extracting #9: cost 1 inf + 221033
83.114 * * [simplify]: Extracting #10: cost 0 inf + 221637
83.185 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2)))))))
83.185 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
83.186 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
83.187 * * [simplify]: iters left: 6 (20 enodes)
83.196 * * [simplify]: iters left: 5 (90 enodes)
83.223 * * [simplify]: iters left: 4 (238 enodes)
83.295 * * [simplify]: Extracting #0: cost 1 inf + 0
83.295 * * [simplify]: Extracting #1: cost 3 inf + 0
83.295 * * [simplify]: Extracting #2: cost 22 inf + 0
83.295 * * [simplify]: Extracting #3: cost 100 inf + 0
83.296 * * [simplify]: Extracting #4: cost 200 inf + 495
83.298 * * [simplify]: Extracting #5: cost 155 inf + 9777
83.315 * * [simplify]: Extracting #6: cost 38 inf + 40363
83.330 * * [simplify]: Extracting #7: cost 4 inf + 52318
83.350 * * [simplify]: Extracting #8: cost 0 inf + 53174
83.366 * * [simplify]: Extracting #9: cost 0 inf + 52294
83.381 * [simplify]: Simplified to (sqrt (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))
83.381 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* phi2 (* phi2 phi2))))))) (sqrt (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))
83.382 * * * * [progress]: [ 17 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
83.382 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
83.382 * * [simplify]: iters left: 6 (35 enodes)
83.392 * * [simplify]: iters left: 5 (162 enodes)
83.432 * * [simplify]: iters left: 4 (421 enodes)
83.692 * * [simplify]: Extracting #0: cost 1 inf + 0
83.692 * * [simplify]: Extracting #1: cost 3 inf + 0
83.692 * * [simplify]: Extracting #2: cost 13 inf + 0
83.692 * * [simplify]: Extracting #3: cost 87 inf + 0
83.694 * * [simplify]: Extracting #4: cost 261 inf + 209
83.697 * * [simplify]: Extracting #5: cost 376 inf + 3988
83.704 * * [simplify]: Extracting #6: cost 450 inf + 10800
83.722 * * [simplify]: Extracting #7: cost 285 inf + 51049
83.768 * * [simplify]: Extracting #8: cost 98 inf + 124352
83.815 * * [simplify]: Extracting #9: cost 12 inf + 165106
83.862 * * [simplify]: Extracting #10: cost 0 inf + 170850
83.916 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))
83.916 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
83.917 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
83.917 * * [simplify]: iters left: 6 (16 enodes)
83.921 * * [simplify]: iters left: 5 (72 enodes)
83.948 * * [simplify]: iters left: 4 (181 enodes)
84.013 * * [simplify]: Extracting #0: cost 1 inf + 0
84.013 * * [simplify]: Extracting #1: cost 3 inf + 0
84.013 * * [simplify]: Extracting #2: cost 12 inf + 0
84.013 * * [simplify]: Extracting #3: cost 57 inf + 0
84.014 * * [simplify]: Extracting #4: cost 139 inf + 87
84.016 * * [simplify]: Extracting #5: cost 141 inf + 1517
84.022 * * [simplify]: Extracting #6: cost 45 inf + 19750
84.040 * * [simplify]: Extracting #7: cost 3 inf + 29941
84.056 * * [simplify]: Extracting #8: cost 0 inf + 30312
84.074 * * [simplify]: Extracting #9: cost 0 inf + 30192
84.090 * [simplify]: Simplified to (sqrt (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ phi2 phi1)))
84.090 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ phi2 phi1))))))
84.091 * * * * [progress]: [ 18 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
84.091 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
84.092 * * [simplify]: iters left: 6 (47 enodes)
84.116 * * [simplify]: iters left: 5 (231 enodes)
84.204 * * [simplify]: Extracting #0: cost 1 inf + 0
84.204 * * [simplify]: Extracting #1: cost 3 inf + 0
84.204 * * [simplify]: Extracting #2: cost 6 inf + 0
84.204 * * [simplify]: Extracting #3: cost 52 inf + 0
84.204 * * [simplify]: Extracting #4: cost 118 inf + 0
84.205 * * [simplify]: Extracting #5: cost 189 inf + 0
84.205 * * [simplify]: Extracting #6: cost 270 inf + 1136
84.207 * * [simplify]: Extracting #7: cost 238 inf + 9719
84.211 * * [simplify]: Extracting #8: cost 144 inf + 27155
84.219 * * [simplify]: Extracting #9: cost 82 inf + 47152
84.240 * * [simplify]: Extracting #10: cost 42 inf + 67451
84.276 * * [simplify]: Extracting #11: cost 7 inf + 99406
84.320 * * [simplify]: Extracting #12: cost 0 inf + 108141
84.350 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))
84.350 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
84.351 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
84.351 * * [simplify]: iters left: 6 (24 enodes)
84.356 * * [simplify]: iters left: 5 (113 enodes)
84.396 * * [simplify]: iters left: 4 (369 enodes)
84.680 * * [simplify]: Extracting #0: cost 1 inf + 0
84.680 * * [simplify]: Extracting #1: cost 3 inf + 0
84.681 * * [simplify]: Extracting #2: cost 38 inf + 0
84.682 * * [simplify]: Extracting #3: cost 277 inf + 0
84.685 * * [simplify]: Extracting #4: cost 456 inf + 166
84.692 * * [simplify]: Extracting #5: cost 470 inf + 10481
84.718 * * [simplify]: Extracting #6: cost 228 inf + 107208
84.812 * * [simplify]: Extracting #7: cost 11 inf + 209093
84.925 * * [simplify]: Extracting #8: cost 0 inf + 203965
85.008 * * [simplify]: Extracting #9: cost 0 inf + 203485
85.065 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))
85.065 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))))))
85.065 * * * * [progress]: [ 19 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
85.066 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
85.066 * * [simplify]: iters left: 6 (48 enodes)
85.079 * * [simplify]: iters left: 5 (240 enodes)
85.140 * * [simplify]: Extracting #0: cost 1 inf + 0
85.140 * * [simplify]: Extracting #1: cost 3 inf + 0
85.140 * * [simplify]: Extracting #2: cost 6 inf + 0
85.140 * * [simplify]: Extracting #3: cost 56 inf + 0
85.141 * * [simplify]: Extracting #4: cost 141 inf + 0
85.141 * * [simplify]: Extracting #5: cost 200 inf + 249
85.142 * * [simplify]: Extracting #6: cost 259 inf + 3288
85.145 * * [simplify]: Extracting #7: cost 230 inf + 11749
85.150 * * [simplify]: Extracting #8: cost 132 inf + 32416
85.163 * * [simplify]: Extracting #9: cost 56 inf + 63303
85.206 * * [simplify]: Extracting #10: cost 3 inf + 108003
85.252 * * [simplify]: Extracting #11: cost 0 inf + 111598
85.299 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))))
85.300 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
85.301 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
85.301 * * [simplify]: iters left: 6 (25 enodes)
85.314 * * [simplify]: iters left: 5 (117 enodes)
85.350 * * [simplify]: iters left: 4 (366 enodes)
85.541 * * [simplify]: Extracting #0: cost 1 inf + 0
85.541 * * [simplify]: Extracting #1: cost 3 inf + 0
85.541 * * [simplify]: Extracting #2: cost 63 inf + 0
85.542 * * [simplify]: Extracting #3: cost 292 inf + 0
85.544 * * [simplify]: Extracting #4: cost 403 inf + 331
85.546 * * [simplify]: Extracting #5: cost 441 inf + 5518
85.566 * * [simplify]: Extracting #6: cost 233 inf + 93030
85.665 * * [simplify]: Extracting #7: cost 6 inf + 193260
85.735 * * [simplify]: Extracting #8: cost 0 inf + 184676
85.816 * * [simplify]: Extracting #9: cost 0 inf + 184476
85.879 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))
85.880 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))))))
85.880 * * * * [progress]: [ 20 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
85.881 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
85.881 * * [simplify]: iters left: 6 (48 enodes)
85.896 * * [simplify]: iters left: 5 (240 enodes)
85.976 * * [simplify]: Extracting #0: cost 1 inf + 0
85.976 * * [simplify]: Extracting #1: cost 3 inf + 0
85.976 * * [simplify]: Extracting #2: cost 6 inf + 0
85.976 * * [simplify]: Extracting #3: cost 58 inf + 0
85.977 * * [simplify]: Extracting #4: cost 139 inf + 0
85.978 * * [simplify]: Extracting #5: cost 196 inf + 169
85.980 * * [simplify]: Extracting #6: cost 253 inf + 4575
85.985 * * [simplify]: Extracting #7: cost 223 inf + 13340
85.995 * * [simplify]: Extracting #8: cost 141 inf + 29740
86.016 * * [simplify]: Extracting #9: cost 57 inf + 62606
86.057 * * [simplify]: Extracting #10: cost 8 inf + 100070
86.101 * * [simplify]: Extracting #11: cost 1 inf + 107445
86.132 * * [simplify]: Extracting #12: cost 0 inf + 109270
86.159 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))
86.159 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
86.160 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
86.160 * * [simplify]: iters left: 6 (25 enodes)
86.165 * * [simplify]: iters left: 5 (117 enodes)
86.192 * * [simplify]: iters left: 4 (364 enodes)
86.422 * * [simplify]: Extracting #0: cost 1 inf + 0
86.422 * * [simplify]: Extracting #1: cost 3 inf + 0
86.422 * * [simplify]: Extracting #2: cost 57 inf + 0
86.423 * * [simplify]: Extracting #3: cost 271 inf + 0
86.426 * * [simplify]: Extracting #4: cost 371 inf + 373
86.428 * * [simplify]: Extracting #5: cost 414 inf + 4593
86.446 * * [simplify]: Extracting #6: cost 203 inf + 86804
86.525 * * [simplify]: Extracting #7: cost 12 inf + 170925
86.589 * * [simplify]: Extracting #8: cost 0 inf + 167325
86.654 * * [simplify]: Extracting #9: cost 0 inf + 166605
86.709 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
86.709 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))))
86.709 * * * * [progress]: [ 21 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
86.710 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
86.710 * * [simplify]: iters left: 6 (42 enodes)
86.722 * * [simplify]: iters left: 5 (204 enodes)
86.781 * * [simplify]: Extracting #0: cost 1 inf + 0
86.782 * * [simplify]: Extracting #1: cost 3 inf + 0
86.782 * * [simplify]: Extracting #2: cost 6 inf + 0
86.782 * * [simplify]: Extracting #3: cost 50 inf + 0
86.782 * * [simplify]: Extracting #4: cost 107 inf + 0
86.782 * * [simplify]: Extracting #5: cost 147 inf + 44
86.783 * * [simplify]: Extracting #6: cost 215 inf + 1554
86.784 * * [simplify]: Extracting #7: cost 213 inf + 3307
86.788 * * [simplify]: Extracting #8: cost 141 inf + 21222
86.804 * * [simplify]: Extracting #9: cost 49 inf + 58569
86.824 * * [simplify]: Extracting #10: cost 9 inf + 83213
86.849 * * [simplify]: Extracting #11: cost 0 inf + 89249
86.885 * * [simplify]: Extracting #12: cost 0 inf + 87809
86.924 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))
86.924 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
86.925 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))
86.926 * * [simplify]: iters left: 6 (20 enodes)
86.935 * * [simplify]: iters left: 5 (95 enodes)
86.969 * * [simplify]: iters left: 4 (294 enodes)
87.099 * * [simplify]: Extracting #0: cost 1 inf + 0
87.099 * * [simplify]: Extracting #1: cost 3 inf + 0
87.100 * * [simplify]: Extracting #2: cost 29 inf + 0
87.100 * * [simplify]: Extracting #3: cost 133 inf + 0
87.106 * * [simplify]: Extracting #4: cost 204 inf + 250
87.109 * * [simplify]: Extracting #5: cost 253 inf + 3904
87.122 * * [simplify]: Extracting #6: cost 159 inf + 31383
87.156 * * [simplify]: Extracting #7: cost 8 inf + 87161
87.187 * * [simplify]: Extracting #8: cost 0 inf + 83142
87.216 * * [simplify]: Extracting #9: cost 0 inf + 82662
87.257 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))))
87.257 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))))))
87.258 * * * * [progress]: [ 22 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
87.259 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
87.260 * * [simplify]: iters left: 6 (47 enodes)
87.285 * * [simplify]: iters left: 5 (232 enodes)
87.384 * * [simplify]: Extracting #0: cost 1 inf + 0
87.384 * * [simplify]: Extracting #1: cost 3 inf + 0
87.384 * * [simplify]: Extracting #2: cost 10 inf + 0
87.384 * * [simplify]: Extracting #3: cost 70 inf + 0
87.385 * * [simplify]: Extracting #4: cost 124 inf + 42
87.386 * * [simplify]: Extracting #5: cost 166 inf + 331
87.387 * * [simplify]: Extracting #6: cost 236 inf + 2365
87.394 * * [simplify]: Extracting #7: cost 226 inf + 8449
87.398 * * [simplify]: Extracting #8: cost 153 inf + 25658
87.406 * * [simplify]: Extracting #9: cost 72 inf + 52530
87.426 * * [simplify]: Extracting #10: cost 14 inf + 93701
87.469 * * [simplify]: Extracting #11: cost 0 inf + 106660
87.508 * * [simplify]: Extracting #12: cost 0 inf + 105940
87.531 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))
87.531 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
87.532 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
87.532 * * [simplify]: iters left: 6 (23 enodes)
87.539 * * [simplify]: iters left: 5 (108 enodes)
87.562 * * [simplify]: iters left: 4 (311 enodes)
87.688 * * [simplify]: Extracting #0: cost 1 inf + 0
87.688 * * [simplify]: Extracting #1: cost 3 inf + 0
87.689 * * [simplify]: Extracting #2: cost 28 inf + 0
87.689 * * [simplify]: Extracting #3: cost 112 inf + 0
87.690 * * [simplify]: Extracting #4: cost 209 inf + 85
87.691 * * [simplify]: Extracting #5: cost 278 inf + 700
87.705 * * [simplify]: Extracting #6: cost 182 inf + 32841
87.752 * * [simplify]: Extracting #7: cost 9 inf + 95074
87.782 * * [simplify]: Extracting #8: cost 0 inf + 91699
87.824 * * [simplify]: Extracting #9: cost 0 inf + 91179
87.853 * [simplify]: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))
87.854 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))))
87.854 * * * * [progress]: [ 23 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
87.855 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
87.855 * * [simplify]: iters left: 6 (42 enodes)
87.866 * * [simplify]: iters left: 5 (204 enodes)
87.910 * * [simplify]: Extracting #0: cost 1 inf + 0
87.910 * * [simplify]: Extracting #1: cost 3 inf + 0
87.910 * * [simplify]: Extracting #2: cost 10 inf + 0
87.910 * * [simplify]: Extracting #3: cost 62 inf + 0
87.911 * * [simplify]: Extracting #4: cost 104 inf + 86
87.911 * * [simplify]: Extracting #5: cost 129 inf + 1392
87.912 * * [simplify]: Extracting #6: cost 203 inf + 2932
87.913 * * [simplify]: Extracting #7: cost 210 inf + 3467
87.915 * * [simplify]: Extracting #8: cost 174 inf + 8336
87.921 * * [simplify]: Extracting #9: cost 102 inf + 27547
87.939 * * [simplify]: Extracting #10: cost 53 inf + 47219
87.955 * * [simplify]: Extracting #11: cost 12 inf + 76311
87.973 * * [simplify]: Extracting #12: cost 1 inf + 83994
87.999 * * [simplify]: Extracting #13: cost 0 inf + 85539
88.020 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1)))))
88.020 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
88.021 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))
88.021 * * [simplify]: iters left: 6 (19 enodes)
88.026 * * [simplify]: iters left: 5 (90 enodes)
88.050 * * [simplify]: iters left: 4 (254 enodes)
88.155 * * [simplify]: Extracting #0: cost 1 inf + 0
88.155 * * [simplify]: Extracting #1: cost 3 inf + 0
88.156 * * [simplify]: Extracting #2: cost 18 inf + 0
88.156 * * [simplify]: Extracting #3: cost 48 inf + 0
88.156 * * [simplify]: Extracting #4: cost 112 inf + 44
88.157 * * [simplify]: Extracting #5: cost 185 inf + 86
88.159 * * [simplify]: Extracting #6: cost 125 inf + 14782
88.171 * * [simplify]: Extracting #7: cost 10 inf + 47685
88.185 * * [simplify]: Extracting #8: cost 0 inf + 47629
88.203 * * [simplify]: Extracting #9: cost 0 inf + 46949
88.228 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (+ phi1 phi2)))
88.228 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (+ phi1 phi2))))))
88.228 * * * * [progress]: [ 24 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
88.229 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
88.229 * * [simplify]: iters left: 6 (47 enodes)
88.244 * * [simplify]: iters left: 5 (232 enodes)
88.300 * * [simplify]: Extracting #0: cost 1 inf + 0
88.300 * * [simplify]: Extracting #1: cost 3 inf + 0
88.300 * * [simplify]: Extracting #2: cost 10 inf + 0
88.300 * * [simplify]: Extracting #3: cost 70 inf + 0
88.300 * * [simplify]: Extracting #4: cost 124 inf + 42
88.301 * * [simplify]: Extracting #5: cost 166 inf + 332
88.302 * * [simplify]: Extracting #6: cost 231 inf + 3616
88.304 * * [simplify]: Extracting #7: cost 225 inf + 8731
88.310 * * [simplify]: Extracting #8: cost 155 inf + 25232
88.326 * * [simplify]: Extracting #9: cost 71 inf + 53374
88.358 * * [simplify]: Extracting #10: cost 14 inf + 94021
88.382 * * [simplify]: Extracting #11: cost 0 inf + 107620
88.416 * * [simplify]: Extracting #12: cost 0 inf + 106900
88.452 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))
88.453 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
88.453 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
88.454 * * [simplify]: iters left: 6 (23 enodes)
88.459 * * [simplify]: iters left: 5 (108 enodes)
88.489 * * [simplify]: iters left: 4 (311 enodes)
88.619 * * [simplify]: Extracting #0: cost 1 inf + 0
88.619 * * [simplify]: Extracting #1: cost 3 inf + 0
88.619 * * [simplify]: Extracting #2: cost 28 inf + 0
88.620 * * [simplify]: Extracting #3: cost 112 inf + 0
88.621 * * [simplify]: Extracting #4: cost 209 inf + 85
88.624 * * [simplify]: Extracting #5: cost 278 inf + 700
88.636 * * [simplify]: Extracting #6: cost 182 inf + 32841
88.665 * * [simplify]: Extracting #7: cost 9 inf + 95074
88.708 * * [simplify]: Extracting #8: cost 0 inf + 91699
88.747 * * [simplify]: Extracting #9: cost 0 inf + 91179
88.773 * [simplify]: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))
88.773 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))))
88.774 * * * * [progress]: [ 25 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
88.774 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
88.774 * * [simplify]: iters left: 6 (42 enodes)
88.793 * * [simplify]: iters left: 5 (204 enodes)
88.849 * * [simplify]: Extracting #0: cost 1 inf + 0
88.849 * * [simplify]: Extracting #1: cost 3 inf + 0
88.849 * * [simplify]: Extracting #2: cost 10 inf + 0
88.849 * * [simplify]: Extracting #3: cost 61 inf + 0
88.850 * * [simplify]: Extracting #4: cost 105 inf + 44
88.851 * * [simplify]: Extracting #5: cost 133 inf + 1104
88.852 * * [simplify]: Extracting #6: cost 203 inf + 3012
88.855 * * [simplify]: Extracting #7: cost 211 inf + 3426
88.858 * * [simplify]: Extracting #8: cost 179 inf + 7369
88.862 * * [simplify]: Extracting #9: cost 103 inf + 27042
88.870 * * [simplify]: Extracting #10: cost 55 inf + 46133
88.894 * * [simplify]: Extracting #11: cost 10 inf + 78620
88.918 * * [simplify]: Extracting #12: cost 0 inf + 85779
88.938 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1)))))
88.938 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
88.939 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))
88.939 * * [simplify]: iters left: 6 (19 enodes)
88.943 * * [simplify]: iters left: 5 (90 enodes)
88.973 * * [simplify]: iters left: 4 (254 enodes)
89.087 * * [simplify]: Extracting #0: cost 1 inf + 0
89.087 * * [simplify]: Extracting #1: cost 3 inf + 0
89.087 * * [simplify]: Extracting #2: cost 18 inf + 0
89.088 * * [simplify]: Extracting #3: cost 48 inf + 0
89.088 * * [simplify]: Extracting #4: cost 112 inf + 44
89.089 * * [simplify]: Extracting #5: cost 185 inf + 86
89.092 * * [simplify]: Extracting #6: cost 125 inf + 14782
89.104 * * [simplify]: Extracting #7: cost 10 inf + 47685
89.120 * * [simplify]: Extracting #8: cost 0 inf + 47629
89.138 * * [simplify]: Extracting #9: cost 0 inf + 46949
89.163 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (+ phi1 phi2)))
89.164 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (+ phi1 phi2))))))
89.165 * * * * [progress]: [ 26 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
89.165 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
89.166 * * [simplify]: iters left: 6 (47 enodes)
89.190 * * [simplify]: iters left: 5 (230 enodes)
89.291 * * [simplify]: Extracting #0: cost 1 inf + 0
89.291 * * [simplify]: Extracting #1: cost 3 inf + 0
89.291 * * [simplify]: Extracting #2: cost 6 inf + 0
89.291 * * [simplify]: Extracting #3: cost 52 inf + 0
89.291 * * [simplify]: Extracting #4: cost 118 inf + 0
89.292 * * [simplify]: Extracting #5: cost 191 inf + 0
89.294 * * [simplify]: Extracting #6: cost 265 inf + 1138
89.297 * * [simplify]: Extracting #7: cost 234 inf + 9128
89.304 * * [simplify]: Extracting #8: cost 150 inf + 23350
89.316 * * [simplify]: Extracting #9: cost 108 inf + 36733
89.327 * * [simplify]: Extracting #10: cost 80 inf + 48845
89.340 * * [simplify]: Extracting #11: cost 38 inf + 69703
89.362 * * [simplify]: Extracting #12: cost 4 inf + 101633
89.397 * * [simplify]: Extracting #13: cost 0 inf + 107613
89.422 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))
89.422 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
89.423 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
89.423 * * [simplify]: iters left: 6 (24 enodes)
89.429 * * [simplify]: iters left: 5 (113 enodes)
89.453 * * [simplify]: iters left: 4 (367 enodes)
89.687 * * [simplify]: Extracting #0: cost 1 inf + 0
89.687 * * [simplify]: Extracting #1: cost 3 inf + 0
89.687 * * [simplify]: Extracting #2: cost 37 inf + 0
89.688 * * [simplify]: Extracting #3: cost 278 inf + 0
89.691 * * [simplify]: Extracting #4: cost 448 inf + 207
89.697 * * [simplify]: Extracting #5: cost 486 inf + 6893
89.732 * * [simplify]: Extracting #6: cost 230 inf + 106813
89.821 * * [simplify]: Extracting #7: cost 9 inf + 207585
89.898 * * [simplify]: Extracting #8: cost 0 inf + 200931
89.975 * * [simplify]: Extracting #9: cost 0 inf + 200371
90.039 * * [simplify]: Extracting #10: cost 0 inf + 200291
90.120 * * [simplify]: Extracting #11: cost 0 inf + 200251
90.182 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))
90.182 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))))))
90.183 * * * * [progress]: [ 27 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
90.183 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
90.183 * * [simplify]: iters left: 6 (48 enodes)
90.205 * * [simplify]: iters left: 5 (239 enodes)
90.312 * * [simplify]: Extracting #0: cost 1 inf + 0
90.312 * * [simplify]: Extracting #1: cost 3 inf + 0
90.312 * * [simplify]: Extracting #2: cost 6 inf + 0
90.312 * * [simplify]: Extracting #3: cost 56 inf + 0
90.312 * * [simplify]: Extracting #4: cost 141 inf + 0
90.313 * * [simplify]: Extracting #5: cost 201 inf + 289
90.314 * * [simplify]: Extracting #6: cost 252 inf + 4067
90.316 * * [simplify]: Extracting #7: cost 226 inf + 10668
90.321 * * [simplify]: Extracting #8: cost 129 inf + 31978
90.331 * * [simplify]: Extracting #9: cost 57 inf + 62315
90.360 * * [simplify]: Extracting #10: cost 11 inf + 103382
90.386 * * [simplify]: Extracting #11: cost 0 inf + 113550
90.432 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))
90.432 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
90.433 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
90.434 * * [simplify]: iters left: 6 (25 enodes)
90.445 * * [simplify]: iters left: 5 (117 enodes)
90.491 * * [simplify]: iters left: 4 (364 enodes)
90.747 * * [simplify]: Extracting #0: cost 1 inf + 0
90.747 * * [simplify]: Extracting #1: cost 3 inf + 0
90.747 * * [simplify]: Extracting #2: cost 63 inf + 0
90.748 * * [simplify]: Extracting #3: cost 293 inf + 0
90.749 * * [simplify]: Extracting #4: cost 394 inf + 251
90.752 * * [simplify]: Extracting #5: cost 433 inf + 8299
90.774 * * [simplify]: Extracting #6: cost 226 inf + 99463
90.842 * * [simplify]: Extracting #7: cost 7 inf + 193509
90.908 * * [simplify]: Extracting #8: cost 0 inf + 183563
90.980 * [simplify]: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))
90.980 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))))))
90.981 * * * * [progress]: [ 28 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
90.982 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
90.982 * * [simplify]: iters left: 6 (48 enodes)
91.008 * * [simplify]: iters left: 5 (239 enodes)
91.088 * * [simplify]: Extracting #0: cost 1 inf + 0
91.088 * * [simplify]: Extracting #1: cost 3 inf + 0
91.088 * * [simplify]: Extracting #2: cost 6 inf + 0
91.088 * * [simplify]: Extracting #3: cost 58 inf + 0
91.088 * * [simplify]: Extracting #4: cost 139 inf + 0
91.089 * * [simplify]: Extracting #5: cost 197 inf + 210
91.090 * * [simplify]: Extracting #6: cost 246 inf + 3713
91.093 * * [simplify]: Extracting #7: cost 223 inf + 11218
91.098 * * [simplify]: Extracting #8: cost 127 inf + 33864
91.108 * * [simplify]: Extracting #9: cost 55 inf + 61656
91.141 * * [simplify]: Extracting #10: cost 10 inf + 99277
91.164 * * [simplify]: Extracting #11: cost 0 inf + 108342
91.197 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (+ phi2 phi1)))))))
91.197 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
91.198 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
91.198 * * [simplify]: iters left: 6 (25 enodes)
91.206 * * [simplify]: iters left: 5 (117 enodes)
91.239 * * [simplify]: iters left: 4 (362 enodes)
91.444 * * [simplify]: Extracting #0: cost 1 inf + 0
91.444 * * [simplify]: Extracting #1: cost 3 inf + 0
91.444 * * [simplify]: Extracting #2: cost 57 inf + 0
91.445 * * [simplify]: Extracting #3: cost 270 inf + 0
91.448 * * [simplify]: Extracting #4: cost 361 inf + 414
91.453 * * [simplify]: Extracting #5: cost 412 inf + 6246
91.484 * * [simplify]: Extracting #6: cost 238 inf + 77051
91.569 * * [simplify]: Extracting #7: cost 2 inf + 175444
91.656 * * [simplify]: Extracting #8: cost 0 inf + 165610
91.713 * * [simplify]: Extracting #9: cost 0 inf + 165570
91.787 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
91.787 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))))
91.788 * * * * [progress]: [ 29 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
91.789 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
91.789 * * [simplify]: iters left: 6 (42 enodes)
91.809 * * [simplify]: iters left: 5 (203 enodes)
91.865 * * [simplify]: Extracting #0: cost 1 inf + 0
91.865 * * [simplify]: Extracting #1: cost 3 inf + 0
91.866 * * [simplify]: Extracting #2: cost 6 inf + 0
91.866 * * [simplify]: Extracting #3: cost 50 inf + 0
91.866 * * [simplify]: Extracting #4: cost 107 inf + 0
91.867 * * [simplify]: Extracting #5: cost 149 inf + 44
91.868 * * [simplify]: Extracting #6: cost 210 inf + 1557
91.871 * * [simplify]: Extracting #7: cost 210 inf + 3305
91.874 * * [simplify]: Extracting #8: cost 166 inf + 9312
91.885 * * [simplify]: Extracting #9: cost 103 inf + 28214
91.917 * * [simplify]: Extracting #10: cost 8 inf + 82769
91.943 * * [simplify]: Extracting #11: cost 0 inf + 87561
91.970 * * [simplify]: Extracting #12: cost 0 inf + 87041
91.994 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))
91.995 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
91.995 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))
91.996 * * [simplify]: iters left: 6 (20 enodes)
92.000 * * [simplify]: iters left: 5 (95 enodes)
92.033 * * [simplify]: iters left: 4 (292 enodes)
92.165 * * [simplify]: Extracting #0: cost 1 inf + 0
92.165 * * [simplify]: Extracting #1: cost 3 inf + 0
92.165 * * [simplify]: Extracting #2: cost 29 inf + 0
92.166 * * [simplify]: Extracting #3: cost 138 inf + 0
92.166 * * [simplify]: Extracting #4: cost 202 inf + 209
92.168 * * [simplify]: Extracting #5: cost 264 inf + 3904
92.179 * * [simplify]: Extracting #6: cost 184 inf + 30604
92.223 * * [simplify]: Extracting #7: cost 14 inf + 87220
92.269 * * [simplify]: Extracting #8: cost 0 inf + 85214
92.316 * * [simplify]: Extracting #9: cost 0 inf + 84574
92.362 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))
92.362 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))))
92.363 * * * * [progress]: [ 30 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
92.364 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
92.364 * * [simplify]: iters left: 6 (47 enodes)
92.389 * * [simplify]: iters left: 5 (231 enodes)
92.442 * * [simplify]: Extracting #0: cost 1 inf + 0
92.442 * * [simplify]: Extracting #1: cost 3 inf + 0
92.442 * * [simplify]: Extracting #2: cost 10 inf + 0
92.442 * * [simplify]: Extracting #3: cost 70 inf + 0
92.442 * * [simplify]: Extracting #4: cost 124 inf + 42
92.443 * * [simplify]: Extracting #5: cost 169 inf + 290
92.444 * * [simplify]: Extracting #6: cost 233 inf + 2323
92.448 * * [simplify]: Extracting #7: cost 222 inf + 8137
92.452 * * [simplify]: Extracting #8: cost 142 inf + 23747
92.460 * * [simplify]: Extracting #9: cost 86 inf + 45262
92.478 * * [simplify]: Extracting #10: cost 36 inf + 69234
92.511 * * [simplify]: Extracting #11: cost 7 inf + 93317
92.547 * * [simplify]: Extracting #12: cost 0 inf + 101972
92.583 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))
92.583 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
92.584 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
92.584 * * [simplify]: iters left: 6 (23 enodes)
92.595 * * [simplify]: iters left: 5 (108 enodes)
92.632 * * [simplify]: iters left: 4 (309 enodes)
92.800 * * [simplify]: Extracting #0: cost 1 inf + 0
92.800 * * [simplify]: Extracting #1: cost 3 inf + 0
92.801 * * [simplify]: Extracting #2: cost 28 inf + 0
92.801 * * [simplify]: Extracting #3: cost 112 inf + 0
92.802 * * [simplify]: Extracting #4: cost 200 inf + 43
92.805 * * [simplify]: Extracting #5: cost 279 inf + 494
92.810 * * [simplify]: Extracting #6: cost 233 inf + 8795
92.827 * * [simplify]: Extracting #7: cost 77 inf + 55383
92.856 * * [simplify]: Extracting #8: cost 3 inf + 96004
92.894 * * [simplify]: Extracting #9: cost 0 inf + 90455
92.925 * * [simplify]: Extracting #10: cost 0 inf + 90135
92.953 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))
92.953 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))))
92.954 * * * * [progress]: [ 31 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
92.954 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
92.955 * * [simplify]: iters left: 6 (42 enodes)
92.968 * * [simplify]: iters left: 5 (203 enodes)
93.032 * * [simplify]: Extracting #0: cost 1 inf + 0
93.032 * * [simplify]: Extracting #1: cost 3 inf + 0
93.032 * * [simplify]: Extracting #2: cost 10 inf + 0
93.032 * * [simplify]: Extracting #3: cost 62 inf + 0
93.032 * * [simplify]: Extracting #4: cost 104 inf + 86
93.033 * * [simplify]: Extracting #5: cost 129 inf + 1716
93.034 * * [simplify]: Extracting #6: cost 199 inf + 2932
93.035 * * [simplify]: Extracting #7: cost 208 inf + 3344
93.037 * * [simplify]: Extracting #8: cost 154 inf + 16712
93.045 * * [simplify]: Extracting #9: cost 69 inf + 43229
93.060 * * [simplify]: Extracting #10: cost 29 inf + 67396
93.082 * * [simplify]: Extracting #11: cost 8 inf + 78722
93.100 * * [simplify]: Extracting #12: cost 0 inf + 84171
93.130 * * [simplify]: Extracting #13: cost 0 inf + 84131
93.166 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))
93.167 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
93.169 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
93.169 * * [simplify]: iters left: 6 (19 enodes)
93.178 * * [simplify]: iters left: 5 (90 enodes)
93.214 * * [simplify]: iters left: 4 (252 enodes)
93.349 * * [simplify]: Extracting #0: cost 1 inf + 0
93.349 * * [simplify]: Extracting #1: cost 3 inf + 0
93.349 * * [simplify]: Extracting #2: cost 18 inf + 0
93.349 * * [simplify]: Extracting #3: cost 48 inf + 0
93.350 * * [simplify]: Extracting #4: cost 102 inf + 44
93.351 * * [simplify]: Extracting #5: cost 187 inf + 86
93.358 * * [simplify]: Extracting #6: cost 112 inf + 17374
93.382 * * [simplify]: Extracting #7: cost 7 inf + 47134
93.407 * * [simplify]: Extracting #8: cost 0 inf + 46272
93.424 * * [simplify]: Extracting #9: cost 0 inf + 45952
93.437 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ phi1 phi2))))
93.437 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ phi1 phi2)))))))
93.438 * * * * [progress]: [ 32 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
93.438 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
93.439 * * [simplify]: iters left: 6 (47 enodes)
93.460 * * [simplify]: iters left: 5 (231 enodes)
93.564 * * [simplify]: Extracting #0: cost 1 inf + 0
93.564 * * [simplify]: Extracting #1: cost 3 inf + 0
93.564 * * [simplify]: Extracting #2: cost 10 inf + 0
93.564 * * [simplify]: Extracting #3: cost 70 inf + 0
93.565 * * [simplify]: Extracting #4: cost 124 inf + 42
93.566 * * [simplify]: Extracting #5: cost 168 inf + 332
93.568 * * [simplify]: Extracting #6: cost 229 inf + 3292
93.570 * * [simplify]: Extracting #7: cost 221 inf + 8389
93.574 * * [simplify]: Extracting #8: cost 142 inf + 24220
93.582 * * [simplify]: Extracting #9: cost 88 inf + 45253
93.597 * * [simplify]: Extracting #10: cost 36 inf + 70034
93.629 * * [simplify]: Extracting #11: cost 7 inf + 94117
93.651 * * [simplify]: Extracting #12: cost 0 inf + 102772
93.683 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))
93.683 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
93.684 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
93.684 * * [simplify]: iters left: 6 (23 enodes)
93.695 * * [simplify]: iters left: 5 (108 enodes)
93.737 * * [simplify]: iters left: 4 (309 enodes)
93.899 * * [simplify]: Extracting #0: cost 1 inf + 0
93.899 * * [simplify]: Extracting #1: cost 3 inf + 0
93.899 * * [simplify]: Extracting #2: cost 28 inf + 0
93.900 * * [simplify]: Extracting #3: cost 112 inf + 0
93.901 * * [simplify]: Extracting #4: cost 200 inf + 43
93.903 * * [simplify]: Extracting #5: cost 279 inf + 494
93.908 * * [simplify]: Extracting #6: cost 233 inf + 8795
93.931 * * [simplify]: Extracting #7: cost 77 inf + 55383
93.981 * * [simplify]: Extracting #8: cost 3 inf + 96004
94.018 * * [simplify]: Extracting #9: cost 0 inf + 90455
94.059 * * [simplify]: Extracting #10: cost 0 inf + 90135
94.088 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))
94.088 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))))
94.089 * * * * [progress]: [ 33 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
94.089 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
94.090 * * [simplify]: iters left: 6 (42 enodes)
94.111 * * [simplify]: iters left: 5 (203 enodes)
94.169 * * [simplify]: Extracting #0: cost 1 inf + 0
94.170 * * [simplify]: Extracting #1: cost 3 inf + 0
94.170 * * [simplify]: Extracting #2: cost 10 inf + 0
94.170 * * [simplify]: Extracting #3: cost 61 inf + 0
94.170 * * [simplify]: Extracting #4: cost 105 inf + 44
94.170 * * [simplify]: Extracting #5: cost 136 inf + 942
94.171 * * [simplify]: Extracting #6: cost 199 inf + 2932
94.173 * * [simplify]: Extracting #7: cost 208 inf + 3344
94.175 * * [simplify]: Extracting #8: cost 151 inf + 16756
94.183 * * [simplify]: Extracting #9: cost 68 inf + 42791
94.205 * * [simplify]: Extracting #10: cost 28 inf + 66861
94.237 * * [simplify]: Extracting #11: cost 5 inf + 80373
94.260 * * [simplify]: Extracting #12: cost 0 inf + 84371
94.278 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))
94.278 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
94.279 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
94.280 * * [simplify]: iters left: 6 (19 enodes)
94.288 * * [simplify]: iters left: 5 (90 enodes)
94.320 * * [simplify]: iters left: 4 (252 enodes)
94.405 * * [simplify]: Extracting #0: cost 1 inf + 0
94.405 * * [simplify]: Extracting #1: cost 3 inf + 0
94.405 * * [simplify]: Extracting #2: cost 18 inf + 0
94.405 * * [simplify]: Extracting #3: cost 48 inf + 0
94.405 * * [simplify]: Extracting #4: cost 102 inf + 44
94.407 * * [simplify]: Extracting #5: cost 187 inf + 86
94.412 * * [simplify]: Extracting #6: cost 112 inf + 17374
94.424 * * [simplify]: Extracting #7: cost 7 inf + 47134
94.439 * * [simplify]: Extracting #8: cost 0 inf + 46272
94.459 * * [simplify]: Extracting #9: cost 0 inf + 45952
94.484 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ phi1 phi2))))
94.484 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ phi1 phi2)))))))
94.485 * * * * [progress]: [ 34 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
94.486 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
94.486 * * [simplify]: iters left: 6 (47 enodes)
94.511 * * [simplify]: iters left: 5 (231 enodes)
94.610 * * [simplify]: Extracting #0: cost 1 inf + 0
94.610 * * [simplify]: Extracting #1: cost 3 inf + 0
94.610 * * [simplify]: Extracting #2: cost 6 inf + 0
94.611 * * [simplify]: Extracting #3: cost 52 inf + 0
94.611 * * [simplify]: Extracting #4: cost 118 inf + 0
94.612 * * [simplify]: Extracting #5: cost 187 inf + 0
94.613 * * [simplify]: Extracting #6: cost 263 inf + 805
94.617 * * [simplify]: Extracting #7: cost 224 inf + 8206
94.625 * * [simplify]: Extracting #8: cost 142 inf + 24667
94.641 * * [simplify]: Extracting #9: cost 80 inf + 48421
94.654 * * [simplify]: Extracting #10: cost 42 inf + 64995
94.672 * * [simplify]: Extracting #11: cost 9 inf + 94540
94.705 * * [simplify]: Extracting #12: cost 0 inf + 104285
94.738 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
94.738 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
94.739 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
94.739 * * [simplify]: iters left: 6 (24 enodes)
94.745 * * [simplify]: iters left: 5 (112 enodes)
94.774 * * [simplify]: iters left: 4 (335 enodes)
95.602 * * [simplify]: Extracting #0: cost 1 inf + 0
95.602 * * [simplify]: Extracting #1: cost 3 inf + 0
95.602 * * [simplify]: Extracting #2: cost 37 inf + 0
95.603 * * [simplify]: Extracting #3: cost 284 inf + 0
95.606 * * [simplify]: Extracting #4: cost 458 inf + 126
95.613 * * [simplify]: Extracting #5: cost 560 inf + 8022
95.638 * * [simplify]: Extracting #6: cost 385 inf + 50006
95.697 * * [simplify]: Extracting #7: cost 106 inf + 149036
95.761 * * [simplify]: Extracting #8: cost 3 inf + 209568
95.856 * * [simplify]: Extracting #9: cost 0 inf + 211500
95.918 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))
95.919 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))))
95.919 * * * * [progress]: [ 35 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
95.920 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
95.921 * * [simplify]: iters left: 6 (48 enodes)
95.936 * * [simplify]: iters left: 5 (240 enodes)
96.025 * * [simplify]: Extracting #0: cost 1 inf + 0
96.025 * * [simplify]: Extracting #1: cost 3 inf + 0
96.026 * * [simplify]: Extracting #2: cost 6 inf + 0
96.026 * * [simplify]: Extracting #3: cost 56 inf + 0
96.026 * * [simplify]: Extracting #4: cost 141 inf + 0
96.027 * * [simplify]: Extracting #5: cost 195 inf + 493
96.030 * * [simplify]: Extracting #6: cost 231 inf + 6980
96.039 * * [simplify]: Extracting #7: cost 204 inf + 15162
96.047 * * [simplify]: Extracting #8: cost 146 inf + 24075
96.062 * * [simplify]: Extracting #9: cost 92 inf + 45752
96.082 * * [simplify]: Extracting #10: cost 42 inf + 68654
96.100 * * [simplify]: Extracting #11: cost 6 inf + 101072
96.129 * * [simplify]: Extracting #12: cost 0 inf + 108582
96.172 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))
96.172 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
96.174 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
96.174 * * [simplify]: iters left: 6 (25 enodes)
96.187 * * [simplify]: iters left: 5 (116 enodes)
96.232 * * [simplify]: iters left: 4 (331 enodes)
96.444 * * [simplify]: Extracting #0: cost 1 inf + 0
96.444 * * [simplify]: Extracting #1: cost 3 inf + 0
96.444 * * [simplify]: Extracting #2: cost 65 inf + 0
96.445 * * [simplify]: Extracting #3: cost 297 inf + 0
96.448 * * [simplify]: Extracting #4: cost 398 inf + 695
96.452 * * [simplify]: Extracting #5: cost 491 inf + 7413
96.460 * * [simplify]: Extracting #6: cost 369 inf + 37083
96.489 * * [simplify]: Extracting #7: cost 126 inf + 118217
96.559 * * [simplify]: Extracting #8: cost 3 inf + 186381
96.643 * * [simplify]: Extracting #9: cost 0 inf + 188313
96.713 * [simplify]: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))
96.713 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))))
96.713 * * * * [progress]: [ 36 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
96.714 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
96.714 * * [simplify]: iters left: 6 (48 enodes)
96.726 * * [simplify]: iters left: 5 (240 enodes)
96.797 * * [simplify]: Extracting #0: cost 1 inf + 0
96.797 * * [simplify]: Extracting #1: cost 3 inf + 0
96.797 * * [simplify]: Extracting #2: cost 6 inf + 0
96.797 * * [simplify]: Extracting #3: cost 58 inf + 0
96.797 * * [simplify]: Extracting #4: cost 139 inf + 0
96.798 * * [simplify]: Extracting #5: cost 193 inf + 290
96.799 * * [simplify]: Extracting #6: cost 235 inf + 5086
96.801 * * [simplify]: Extracting #7: cost 215 inf + 11470
96.805 * * [simplify]: Extracting #8: cost 153 inf + 23689
96.813 * * [simplify]: Extracting #9: cost 87 inf + 47156
96.825 * * [simplify]: Extracting #10: cost 43 inf + 66301
96.844 * * [simplify]: Extracting #11: cost 10 inf + 93164
96.868 * * [simplify]: Extracting #12: cost 0 inf + 103454
96.908 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))
96.908 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
96.909 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
96.909 * * [simplify]: iters left: 6 (25 enodes)
96.915 * * [simplify]: iters left: 5 (116 enodes)
96.937 * * [simplify]: iters left: 4 (329 enodes)
97.177 * * [simplify]: Extracting #0: cost 1 inf + 0
97.177 * * [simplify]: Extracting #1: cost 3 inf + 0
97.177 * * [simplify]: Extracting #2: cost 57 inf + 0
97.179 * * [simplify]: Extracting #3: cost 274 inf + 0
97.182 * * [simplify]: Extracting #4: cost 365 inf + 455
97.185 * * [simplify]: Extracting #5: cost 455 inf + 6739
97.192 * * [simplify]: Extracting #6: cost 359 inf + 28423
97.222 * * [simplify]: Extracting #7: cost 97 inf + 117131
97.272 * * [simplify]: Extracting #8: cost 2 inf + 168383
97.340 * * [simplify]: Extracting #9: cost 0 inf + 169470
97.408 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))
97.408 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))))
97.409 * * * * [progress]: [ 37 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
97.409 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
97.409 * * [simplify]: iters left: 6 (42 enodes)
97.420 * * [simplify]: iters left: 5 (204 enodes)
97.500 * * [simplify]: Extracting #0: cost 1 inf + 0
97.500 * * [simplify]: Extracting #1: cost 3 inf + 0
97.500 * * [simplify]: Extracting #2: cost 6 inf + 0
97.500 * * [simplify]: Extracting #3: cost 50 inf + 0
97.500 * * [simplify]: Extracting #4: cost 107 inf + 0
97.501 * * [simplify]: Extracting #5: cost 144 inf + 85
97.501 * * [simplify]: Extracting #6: cost 207 inf + 1353
97.503 * * [simplify]: Extracting #7: cost 201 inf + 3548
97.505 * * [simplify]: Extracting #8: cost 140 inf + 14232
97.511 * * [simplify]: Extracting #9: cost 87 inf + 34309
97.524 * * [simplify]: Extracting #10: cost 33 inf + 57554
97.544 * * [simplify]: Extracting #11: cost 7 inf + 76258
97.562 * * [simplify]: Extracting #12: cost 1 inf + 82048
97.582 * * [simplify]: Extracting #13: cost 0 inf + 83593
97.607 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))))
97.607 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
97.608 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))
97.608 * * [simplify]: iters left: 6 (20 enodes)
97.613 * * [simplify]: iters left: 5 (94 enodes)
97.634 * * [simplify]: iters left: 4 (260 enodes)
97.725 * * [simplify]: Extracting #0: cost 1 inf + 0
97.725 * * [simplify]: Extracting #1: cost 3 inf + 0
97.726 * * [simplify]: Extracting #2: cost 33 inf + 0
97.727 * * [simplify]: Extracting #3: cost 144 inf + 0
97.727 * * [simplify]: Extracting #4: cost 197 inf + 209
97.729 * * [simplify]: Extracting #5: cost 299 inf + 3011
97.731 * * [simplify]: Extracting #6: cost 304 inf + 9842
97.744 * * [simplify]: Extracting #7: cost 111 inf + 65657
97.788 * * [simplify]: Extracting #8: cost 0 inf + 100557
97.835 * * [simplify]: Extracting #9: cost 0 inf + 96437
97.879 * * [simplify]: Extracting #10: cost 0 inf + 96317
97.909 * * [simplify]: Extracting #11: cost 0 inf + 96237
97.939 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))
97.939 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))))
97.940 * * * * [progress]: [ 38 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
97.941 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
97.942 * * [simplify]: iters left: 6 (47 enodes)
97.966 * * [simplify]: iters left: 5 (232 enodes)
98.044 * * [simplify]: Extracting #0: cost 1 inf + 0
98.044 * * [simplify]: Extracting #1: cost 3 inf + 0
98.044 * * [simplify]: Extracting #2: cost 10 inf + 0
98.044 * * [simplify]: Extracting #3: cost 70 inf + 0
98.044 * * [simplify]: Extracting #4: cost 124 inf + 42
98.045 * * [simplify]: Extracting #5: cost 165 inf + 290
98.045 * * [simplify]: Extracting #6: cost 229 inf + 2162
98.049 * * [simplify]: Extracting #7: cost 203 inf + 9382
98.056 * * [simplify]: Extracting #8: cost 142 inf + 21689
98.069 * * [simplify]: Extracting #9: cost 82 inf + 45058
98.090 * * [simplify]: Extracting #10: cost 40 inf + 63804
98.123 * * [simplify]: Extracting #11: cost 5 inf + 93559
98.149 * * [simplify]: Extracting #12: cost 1 inf + 98579
98.178 * * [simplify]: Extracting #13: cost 0 inf + 100364
98.210 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))
98.210 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
98.211 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
98.211 * * [simplify]: iters left: 6 (23 enodes)
98.217 * * [simplify]: iters left: 5 (107 enodes)
98.247 * * [simplify]: iters left: 4 (276 enodes)
98.368 * * [simplify]: Extracting #0: cost 1 inf + 0
98.368 * * [simplify]: Extracting #1: cost 3 inf + 0
98.368 * * [simplify]: Extracting #2: cost 28 inf + 0
98.369 * * [simplify]: Extracting #3: cost 112 inf + 0
98.370 * * [simplify]: Extracting #4: cost 203 inf + 85
98.372 * * [simplify]: Extracting #5: cost 338 inf + 780
98.376 * * [simplify]: Extracting #6: cost 312 inf + 7485
98.395 * * [simplify]: Extracting #7: cost 121 inf + 63970
98.421 * * [simplify]: Extracting #8: cost 0 inf + 104820
98.452 * * [simplify]: Extracting #9: cost 0 inf + 99980
98.479 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))
98.479 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))))
98.480 * * * * [progress]: [ 39 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
98.481 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
98.481 * * [simplify]: iters left: 6 (42 enodes)
98.503 * * [simplify]: iters left: 5 (204 enodes)
98.553 * * [simplify]: Extracting #0: cost 1 inf + 0
98.553 * * [simplify]: Extracting #1: cost 3 inf + 0
98.553 * * [simplify]: Extracting #2: cost 10 inf + 0
98.553 * * [simplify]: Extracting #3: cost 62 inf + 0
98.553 * * [simplify]: Extracting #4: cost 104 inf + 86
98.554 * * [simplify]: Extracting #5: cost 133 inf + 661
98.555 * * [simplify]: Extracting #6: cost 197 inf + 2608
98.556 * * [simplify]: Extracting #7: cost 202 inf + 3382
98.559 * * [simplify]: Extracting #8: cost 140 inf + 16505
98.565 * * [simplify]: Extracting #9: cost 68 inf + 39840
98.576 * * [simplify]: Extracting #10: cost 37 inf + 55057
98.592 * * [simplify]: Extracting #11: cost 8 inf + 73769
98.611 * * [simplify]: Extracting #12: cost 0 inf + 80683
98.642 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1)))))
98.643 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
98.644 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))
98.644 * * [simplify]: iters left: 6 (19 enodes)
98.653 * * [simplify]: iters left: 5 (89 enodes)
98.670 * * [simplify]: iters left: 4 (220 enodes)
98.758 * * [simplify]: Extracting #0: cost 1 inf + 0
98.758 * * [simplify]: Extracting #1: cost 3 inf + 0
98.758 * * [simplify]: Extracting #2: cost 18 inf + 0
98.758 * * [simplify]: Extracting #3: cost 48 inf + 0
98.758 * * [simplify]: Extracting #4: cost 104 inf + 2
98.759 * * [simplify]: Extracting #5: cost 244 inf + 44
98.762 * * [simplify]: Extracting #6: cost 197 inf + 14793
98.773 * * [simplify]: Extracting #7: cost 18 inf + 53942
98.787 * * [simplify]: Extracting #8: cost 0 inf + 55821
98.800 * * [simplify]: Extracting #9: cost 0 inf + 55701
98.816 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (+ phi1 phi2))))
98.816 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (+ phi1 phi2)))))))
98.816 * * * * [progress]: [ 40 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
98.817 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
98.817 * * [simplify]: iters left: 6 (47 enodes)
98.830 * * [simplify]: iters left: 5 (232 enodes)
98.909 * * [simplify]: Extracting #0: cost 1 inf + 0
98.909 * * [simplify]: Extracting #1: cost 3 inf + 0
98.909 * * [simplify]: Extracting #2: cost 10 inf + 0
98.909 * * [simplify]: Extracting #3: cost 70 inf + 0
98.910 * * [simplify]: Extracting #4: cost 124 inf + 42
98.911 * * [simplify]: Extracting #5: cost 164 inf + 332
98.913 * * [simplify]: Extracting #6: cost 224 inf + 3333
98.916 * * [simplify]: Extracting #7: cost 201 inf + 9625
98.922 * * [simplify]: Extracting #8: cost 143 inf + 21386
98.929 * * [simplify]: Extracting #9: cost 82 inf + 44777
98.940 * * [simplify]: Extracting #10: cost 40 inf + 64764
98.961 * * [simplify]: Extracting #11: cost 5 inf + 94519
98.994 * * [simplify]: Extracting #12: cost 1 inf + 99539
99.015 * * [simplify]: Extracting #13: cost 0 inf + 101324
99.054 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))
99.054 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
99.056 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
99.056 * * [simplify]: iters left: 6 (23 enodes)
99.067 * * [simplify]: iters left: 5 (107 enodes)
99.107 * * [simplify]: iters left: 4 (276 enodes)
99.236 * * [simplify]: Extracting #0: cost 1 inf + 0
99.236 * * [simplify]: Extracting #1: cost 3 inf + 0
99.237 * * [simplify]: Extracting #2: cost 28 inf + 0
99.237 * * [simplify]: Extracting #3: cost 112 inf + 0
99.238 * * [simplify]: Extracting #4: cost 203 inf + 85
99.241 * * [simplify]: Extracting #5: cost 338 inf + 780
99.245 * * [simplify]: Extracting #6: cost 312 inf + 7485
99.270 * * [simplify]: Extracting #7: cost 121 inf + 63970
99.305 * * [simplify]: Extracting #8: cost 0 inf + 104820
99.340 * * [simplify]: Extracting #9: cost 0 inf + 99980
99.387 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))
99.387 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))))
99.388 * * * * [progress]: [ 41 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
99.388 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
99.389 * * [simplify]: iters left: 6 (42 enodes)
99.411 * * [simplify]: iters left: 5 (204 enodes)
99.480 * * [simplify]: Extracting #0: cost 1 inf + 0
99.480 * * [simplify]: Extracting #1: cost 3 inf + 0
99.480 * * [simplify]: Extracting #2: cost 10 inf + 0
99.480 * * [simplify]: Extracting #3: cost 61 inf + 0
99.480 * * [simplify]: Extracting #4: cost 105 inf + 44
99.481 * * [simplify]: Extracting #5: cost 132 inf + 862
99.482 * * [simplify]: Extracting #6: cost 195 inf + 3012
99.483 * * [simplify]: Extracting #7: cost 203 inf + 3180
99.485 * * [simplify]: Extracting #8: cost 142 inf + 16525
99.492 * * [simplify]: Extracting #9: cost 67 inf + 40052
99.503 * * [simplify]: Extracting #10: cost 35 inf + 55983
99.518 * * [simplify]: Extracting #11: cost 8 inf + 74009
99.536 * * [simplify]: Extracting #12: cost 0 inf + 81083
99.553 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1)))))
99.553 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
99.554 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))
99.554 * * [simplify]: iters left: 6 (19 enodes)
99.559 * * [simplify]: iters left: 5 (89 enodes)
99.577 * * [simplify]: iters left: 4 (220 enodes)
99.677 * * [simplify]: Extracting #0: cost 1 inf + 0
99.677 * * [simplify]: Extracting #1: cost 3 inf + 0
99.677 * * [simplify]: Extracting #2: cost 18 inf + 0
99.677 * * [simplify]: Extracting #3: cost 48 inf + 0
99.678 * * [simplify]: Extracting #4: cost 104 inf + 2
99.679 * * [simplify]: Extracting #5: cost 244 inf + 44
99.685 * * [simplify]: Extracting #6: cost 197 inf + 14793
99.706 * * [simplify]: Extracting #7: cost 18 inf + 53942
99.733 * * [simplify]: Extracting #8: cost 0 inf + 55821
99.747 * * [simplify]: Extracting #9: cost 0 inf + 55701
99.762 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (+ phi1 phi2))))
99.762 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (+ phi1 phi2)))))))
99.763 * * * * [progress]: [ 42 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
99.763 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
99.764 * * [simplify]: iters left: 6 (45 enodes)
99.784 * * [simplify]: iters left: 5 (215 enodes)
99.845 * * [simplify]: Extracting #0: cost 1 inf + 0
99.845 * * [simplify]: Extracting #1: cost 3 inf + 0
99.845 * * [simplify]: Extracting #2: cost 6 inf + 0
99.845 * * [simplify]: Extracting #3: cost 52 inf + 0
99.846 * * [simplify]: Extracting #4: cost 118 inf + 0
99.847 * * [simplify]: Extracting #5: cost 185 inf + 0
99.848 * * [simplify]: Extracting #6: cost 249 inf + 250
99.851 * * [simplify]: Extracting #7: cost 220 inf + 6473
99.860 * * [simplify]: Extracting #8: cost 138 inf + 23319
99.873 * * [simplify]: Extracting #9: cost 86 inf + 42640
99.905 * * [simplify]: Extracting #10: cost 19 inf + 86515
99.944 * * [simplify]: Extracting #11: cost 0 inf + 102014
99.969 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))
99.969 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
99.970 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
99.970 * * [simplify]: iters left: 6 (22 enodes)
99.975 * * [simplify]: iters left: 5 (100 enodes)
100.004 * * [simplify]: iters left: 4 (315 enodes)
100.189 * * [simplify]: Extracting #0: cost 1 inf + 0
100.189 * * [simplify]: Extracting #1: cost 3 inf + 0
100.189 * * [simplify]: Extracting #2: cost 39 inf + 0
100.190 * * [simplify]: Extracting #3: cost 282 inf + 0
100.191 * * [simplify]: Extracting #4: cost 442 inf + 126
100.194 * * [simplify]: Extracting #5: cost 460 inf + 10526
100.224 * * [simplify]: Extracting #6: cost 192 inf + 118088
100.320 * * [simplify]: Extracting #7: cost 3 inf + 196806
100.418 * * [simplify]: Extracting #8: cost 0 inf + 192938
100.506 * * [simplify]: Extracting #9: cost 0 inf + 192578
100.574 * * [simplify]: Extracting #10: cost 0 inf + 192538
100.655 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))
100.655 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (sqrt (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))))))
100.656 * * * * [progress]: [ 43 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
100.656 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
100.657 * * [simplify]: iters left: 6 (46 enodes)
100.669 * * [simplify]: iters left: 5 (224 enodes)
100.733 * * [simplify]: Extracting #0: cost 1 inf + 0
100.733 * * [simplify]: Extracting #1: cost 3 inf + 0
100.733 * * [simplify]: Extracting #2: cost 6 inf + 0
100.733 * * [simplify]: Extracting #3: cost 56 inf + 0
100.734 * * [simplify]: Extracting #4: cost 141 inf + 0
100.734 * * [simplify]: Extracting #5: cost 198 inf + 126
100.735 * * [simplify]: Extracting #6: cost 236 inf + 6011
100.740 * * [simplify]: Extracting #7: cost 198 inf + 14454
100.744 * * [simplify]: Extracting #8: cost 145 inf + 23348
100.752 * * [simplify]: Extracting #9: cost 84 inf + 44654
100.764 * * [simplify]: Extracting #10: cost 35 inf + 70436
100.799 * * [simplify]: Extracting #11: cost 3 inf + 100596
100.845 * * [simplify]: Extracting #12: cost 0 inf + 105071
100.876 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
100.876 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
100.877 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
100.877 * * [simplify]: iters left: 6 (23 enodes)
100.882 * * [simplify]: iters left: 5 (104 enodes)
100.904 * * [simplify]: iters left: 4 (312 enodes)
101.098 * * [simplify]: Extracting #0: cost 1 inf + 0
101.098 * * [simplify]: Extracting #1: cost 3 inf + 0
101.098 * * [simplify]: Extracting #2: cost 65 inf + 0
101.099 * * [simplify]: Extracting #3: cost 297 inf + 0
101.101 * * [simplify]: Extracting #4: cost 385 inf + 250
101.103 * * [simplify]: Extracting #5: cost 419 inf + 7575
101.126 * * [simplify]: Extracting #6: cost 210 inf + 93963
101.216 * * [simplify]: Extracting #7: cost 8 inf + 178175
101.272 * * [simplify]: Extracting #8: cost 0 inf + 175161
101.353 * * [simplify]: Extracting #9: cost 0 inf + 174961
101.415 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))))
101.415 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))))))
101.416 * * * * [progress]: [ 44 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
101.417 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
101.418 * * [simplify]: iters left: 6 (46 enodes)
101.442 * * [simplify]: iters left: 5 (224 enodes)
101.539 * * [simplify]: Extracting #0: cost 1 inf + 0
101.539 * * [simplify]: Extracting #1: cost 3 inf + 0
101.539 * * [simplify]: Extracting #2: cost 6 inf + 0
101.539 * * [simplify]: Extracting #3: cost 58 inf + 0
101.540 * * [simplify]: Extracting #4: cost 139 inf + 0
101.541 * * [simplify]: Extracting #5: cost 194 inf + 126
101.543 * * [simplify]: Extracting #6: cost 232 inf + 5522
101.547 * * [simplify]: Extracting #7: cost 197 inf + 15113
101.555 * * [simplify]: Extracting #8: cost 130 inf + 27936
101.570 * * [simplify]: Extracting #9: cost 68 inf + 49796
101.600 * * [simplify]: Extracting #10: cost 12 inf + 93655
101.641 * * [simplify]: Extracting #11: cost 0 inf + 102823
101.685 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
101.685 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
101.686 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
101.686 * * [simplify]: iters left: 6 (23 enodes)
101.692 * * [simplify]: iters left: 5 (104 enodes)
101.712 * * [simplify]: iters left: 4 (310 enodes)
101.929 * * [simplify]: Extracting #0: cost 1 inf + 0
101.929 * * [simplify]: Extracting #1: cost 3 inf + 0
101.930 * * [simplify]: Extracting #2: cost 57 inf + 0
101.931 * * [simplify]: Extracting #3: cost 278 inf + 0
101.933 * * [simplify]: Extracting #4: cost 355 inf + 454
101.940 * * [simplify]: Extracting #5: cost 380 inf + 8882
101.967 * * [simplify]: Extracting #6: cost 209 inf + 80599
102.023 * * [simplify]: Extracting #7: cost 13 inf + 159898
102.067 * * [simplify]: Extracting #8: cost 0 inf + 158940
102.127 * * [simplify]: Extracting #9: cost 0 inf + 158580
102.184 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))))
102.184 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))))))))
102.185 * * * * [progress]: [ 45 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
102.185 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
102.186 * * [simplify]: iters left: 6 (40 enodes)
102.196 * * [simplify]: iters left: 5 (188 enodes)
102.239 * * [simplify]: Extracting #0: cost 1 inf + 0
102.239 * * [simplify]: Extracting #1: cost 3 inf + 0
102.239 * * [simplify]: Extracting #2: cost 6 inf + 0
102.239 * * [simplify]: Extracting #3: cost 50 inf + 0
102.239 * * [simplify]: Extracting #4: cost 107 inf + 0
102.240 * * [simplify]: Extracting #5: cost 143 inf + 44
102.241 * * [simplify]: Extracting #6: cost 186 inf + 2005
102.242 * * [simplify]: Extracting #7: cost 184 inf + 3307
102.244 * * [simplify]: Extracting #8: cost 131 inf + 15450
102.251 * * [simplify]: Extracting #9: cost 69 inf + 36557
102.264 * * [simplify]: Extracting #10: cost 19 inf + 64657
102.288 * * [simplify]: Extracting #11: cost 2 inf + 78392
102.305 * * [simplify]: Extracting #12: cost 0 inf + 81402
102.323 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))))))
102.323 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
102.323 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
102.324 * * [simplify]: iters left: 6 (18 enodes)
102.328 * * [simplify]: iters left: 5 (82 enodes)
102.346 * * [simplify]: iters left: 4 (240 enodes)
102.461 * * [simplify]: Extracting #0: cost 1 inf + 0
102.461 * * [simplify]: Extracting #1: cost 3 inf + 0
102.461 * * [simplify]: Extracting #2: cost 30 inf + 0
102.462 * * [simplify]: Extracting #3: cost 139 inf + 0
102.462 * * [simplify]: Extracting #4: cost 186 inf + 292
102.464 * * [simplify]: Extracting #5: cost 239 inf + 3984
102.468 * * [simplify]: Extracting #6: cost 186 inf + 23805
102.491 * * [simplify]: Extracting #7: cost 25 inf + 74720
102.522 * * [simplify]: Extracting #8: cost 0 inf + 78989
102.545 * * [simplify]: Extracting #9: cost 0 inf + 78389
102.566 * * [simplify]: Extracting #10: cost 0 inf + 78349
102.598 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))
102.598 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))))
102.599 * * * * [progress]: [ 46 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
102.599 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
102.600 * * [simplify]: iters left: 6 (45 enodes)
102.611 * * [simplify]: iters left: 5 (216 enodes)
102.678 * * [simplify]: Extracting #0: cost 1 inf + 0
102.678 * * [simplify]: Extracting #1: cost 3 inf + 0
102.679 * * [simplify]: Extracting #2: cost 10 inf + 0
102.679 * * [simplify]: Extracting #3: cost 70 inf + 0
102.679 * * [simplify]: Extracting #4: cost 125 inf + 1
102.679 * * [simplify]: Extracting #5: cost 164 inf + 289
102.680 * * [simplify]: Extracting #6: cost 224 inf + 1076
102.681 * * [simplify]: Extracting #7: cost 202 inf + 7099
102.684 * * [simplify]: Extracting #8: cost 136 inf + 19231
102.691 * * [simplify]: Extracting #9: cost 64 inf + 45780
102.701 * * [simplify]: Extracting #10: cost 36 inf + 61833
102.732 * * [simplify]: Extracting #11: cost 5 inf + 90288
102.751 * * [simplify]: Extracting #12: cost 0 inf + 96093
102.782 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))
102.782 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
102.784 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
102.784 * * [simplify]: iters left: 6 (21 enodes)
102.794 * * [simplify]: iters left: 5 (95 enodes)
102.831 * * [simplify]: iters left: 4 (257 enodes)
102.950 * * [simplify]: Extracting #0: cost 1 inf + 0
102.950 * * [simplify]: Extracting #1: cost 3 inf + 0
102.950 * * [simplify]: Extracting #2: cost 28 inf + 0
102.950 * * [simplify]: Extracting #3: cost 112 inf + 0
102.951 * * [simplify]: Extracting #4: cost 182 inf + 372
102.952 * * [simplify]: Extracting #5: cost 255 inf + 986
102.957 * * [simplify]: Extracting #6: cost 171 inf + 24184
102.975 * * [simplify]: Extracting #7: cost 18 inf + 75618
103.017 * * [simplify]: Extracting #8: cost 0 inf + 83878
103.063 * * [simplify]: Extracting #9: cost 0 inf + 83798
103.109 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))
103.109 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))
103.110 * * * * [progress]: [ 47 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
103.111 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
103.111 * * [simplify]: iters left: 6 (40 enodes)
103.133 * * [simplify]: iters left: 5 (188 enodes)
103.180 * * [simplify]: Extracting #0: cost 1 inf + 0
103.180 * * [simplify]: Extracting #1: cost 3 inf + 0
103.180 * * [simplify]: Extracting #2: cost 10 inf + 0
103.180 * * [simplify]: Extracting #3: cost 62 inf + 0
103.180 * * [simplify]: Extracting #4: cost 104 inf + 86
103.181 * * [simplify]: Extracting #5: cost 127 inf + 1229
103.182 * * [simplify]: Extracting #6: cost 179 inf + 2932
103.183 * * [simplify]: Extracting #7: cost 181 inf + 3387
103.186 * * [simplify]: Extracting #8: cost 109 inf + 21634
103.193 * * [simplify]: Extracting #9: cost 54 inf + 43644
103.207 * * [simplify]: Extracting #10: cost 14 inf + 67029
103.223 * * [simplify]: Extracting #11: cost 0 inf + 78132
103.240 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
103.240 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
103.240 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
103.241 * * [simplify]: iters left: 6 (17 enodes)
103.247 * * [simplify]: iters left: 5 (77 enodes)
103.261 * * [simplify]: iters left: 4 (200 enodes)
103.337 * * [simplify]: Extracting #0: cost 1 inf + 0
103.337 * * [simplify]: Extracting #1: cost 3 inf + 0
103.337 * * [simplify]: Extracting #2: cost 18 inf + 0
103.337 * * [simplify]: Extracting #3: cost 48 inf + 0
103.337 * * [simplify]: Extracting #4: cost 90 inf + 2
103.338 * * [simplify]: Extracting #5: cost 168 inf + 44
103.340 * * [simplify]: Extracting #6: cost 146 inf + 5510
103.346 * * [simplify]: Extracting #7: cost 45 inf + 28178
103.360 * * [simplify]: Extracting #8: cost 2 inf + 41090
103.383 * * [simplify]: Extracting #9: cost 0 inf + 41775
103.402 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))
103.402 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ phi1 phi2) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))
103.403 * * * * [progress]: [ 48 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
103.403 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
103.403 * * [simplify]: iters left: 6 (45 enodes)
103.415 * * [simplify]: iters left: 5 (216 enodes)
103.495 * * [simplify]: Extracting #0: cost 1 inf + 0
103.495 * * [simplify]: Extracting #1: cost 3 inf + 0
103.496 * * [simplify]: Extracting #2: cost 10 inf + 0
103.496 * * [simplify]: Extracting #3: cost 70 inf + 0
103.496 * * [simplify]: Extracting #4: cost 125 inf + 1
103.497 * * [simplify]: Extracting #5: cost 164 inf + 289
103.499 * * [simplify]: Extracting #6: cost 220 inf + 2147
103.502 * * [simplify]: Extracting #7: cost 196 inf + 8934
103.507 * * [simplify]: Extracting #8: cost 132 inf + 21590
103.519 * * [simplify]: Extracting #9: cost 61 inf + 48274
103.530 * * [simplify]: Extracting #10: cost 36 inf + 62793
103.546 * * [simplify]: Extracting #11: cost 5 inf + 91248
103.569 * * [simplify]: Extracting #12: cost 0 inf + 97053
103.604 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))
103.604 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
103.606 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
103.606 * * [simplify]: iters left: 6 (21 enodes)
103.613 * * [simplify]: iters left: 5 (95 enodes)
103.630 * * [simplify]: iters left: 4 (257 enodes)
103.744 * * [simplify]: Extracting #0: cost 1 inf + 0
103.744 * * [simplify]: Extracting #1: cost 3 inf + 0
103.744 * * [simplify]: Extracting #2: cost 28 inf + 0
103.744 * * [simplify]: Extracting #3: cost 112 inf + 0
103.745 * * [simplify]: Extracting #4: cost 182 inf + 372
103.746 * * [simplify]: Extracting #5: cost 255 inf + 986
103.750 * * [simplify]: Extracting #6: cost 171 inf + 24184
103.785 * * [simplify]: Extracting #7: cost 18 inf + 75618
103.815 * * [simplify]: Extracting #8: cost 0 inf + 83878
103.845 * * [simplify]: Extracting #9: cost 0 inf + 83798
103.869 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))
103.869 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))
103.870 * * * * [progress]: [ 49 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
103.870 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
103.871 * * [simplify]: iters left: 6 (40 enodes)
103.892 * * [simplify]: iters left: 5 (188 enodes)
103.943 * * [simplify]: Extracting #0: cost 1 inf + 0
103.943 * * [simplify]: Extracting #1: cost 3 inf + 0
103.943 * * [simplify]: Extracting #2: cost 10 inf + 0
103.943 * * [simplify]: Extracting #3: cost 61 inf + 0
103.943 * * [simplify]: Extracting #4: cost 104 inf + 86
103.944 * * [simplify]: Extracting #5: cost 121 inf + 2160
103.945 * * [simplify]: Extracting #6: cost 179 inf + 2932
103.946 * * [simplify]: Extracting #7: cost 182 inf + 3346
103.949 * * [simplify]: Extracting #8: cost 115 inf + 20761
103.965 * * [simplify]: Extracting #9: cost 49 inf + 47769
103.991 * * [simplify]: Extracting #10: cost 13 inf + 68145
104.012 * * [simplify]: Extracting #11: cost 0 inf + 78372
104.032 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
104.032 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
104.033 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
104.034 * * [simplify]: iters left: 6 (17 enodes)
104.041 * * [simplify]: iters left: 5 (77 enodes)
104.060 * * [simplify]: iters left: 4 (200 enodes)
104.120 * * [simplify]: Extracting #0: cost 1 inf + 0
104.120 * * [simplify]: Extracting #1: cost 3 inf + 0
104.120 * * [simplify]: Extracting #2: cost 18 inf + 0
104.120 * * [simplify]: Extracting #3: cost 48 inf + 0
104.120 * * [simplify]: Extracting #4: cost 90 inf + 2
104.121 * * [simplify]: Extracting #5: cost 168 inf + 44
104.122 * * [simplify]: Extracting #6: cost 146 inf + 5510
104.129 * * [simplify]: Extracting #7: cost 45 inf + 28178
104.142 * * [simplify]: Extracting #8: cost 2 inf + 41090
104.154 * * [simplify]: Extracting #9: cost 0 inf + 41775
104.166 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))
104.167 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (+ phi1 phi2) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))
104.167 * * * * [progress]: [ 50 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
104.167 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
104.168 * * [simplify]: iters left: 6 (48 enodes)
104.180 * * [simplify]: iters left: 5 (229 enodes)
104.253 * * [simplify]: Extracting #0: cost 1 inf + 0
104.253 * * [simplify]: Extracting #1: cost 3 inf + 0
104.253 * * [simplify]: Extracting #2: cost 6 inf + 0
104.253 * * [simplify]: Extracting #3: cost 52 inf + 0
104.254 * * [simplify]: Extracting #4: cost 118 inf + 0
104.255 * * [simplify]: Extracting #5: cost 184 inf + 0
104.256 * * [simplify]: Extracting #6: cost 253 inf + 1215
104.258 * * [simplify]: Extracting #7: cost 212 inf + 11596
104.264 * * [simplify]: Extracting #8: cost 111 inf + 39072
104.274 * * [simplify]: Extracting #9: cost 42 inf + 62379
104.298 * * [simplify]: Extracting #10: cost 5 inf + 100024
104.337 * * [simplify]: Extracting #11: cost 0 inf + 106629
104.358 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))
104.359 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
104.359 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
104.359 * * [simplify]: iters left: 6 (23 enodes)
104.368 * * [simplify]: iters left: 5 (103 enodes)
104.391 * * [simplify]: iters left: 4 (309 enodes)
104.579 * * [simplify]: Extracting #0: cost 1 inf + 0
104.579 * * [simplify]: Extracting #1: cost 3 inf + 0
104.579 * * [simplify]: Extracting #2: cost 38 inf + 0
104.580 * * [simplify]: Extracting #3: cost 277 inf + 0
104.583 * * [simplify]: Extracting #4: cost 431 inf + 248
104.587 * * [simplify]: Extracting #5: cost 408 inf + 17506
104.618 * * [simplify]: Extracting #6: cost 159 inf + 108650
104.704 * * [simplify]: Extracting #7: cost 2 inf + 181082
104.788 * * [simplify]: Extracting #8: cost 0 inf + 181326
104.865 * * [simplify]: Extracting #9: cost 0 inf + 181246
104.934 * [simplify]: Simplified to (sqrt (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))
104.934 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))))
104.935 * * * * [progress]: [ 51 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
104.936 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
104.936 * * [simplify]: iters left: 6 (49 enodes)
104.958 * * [simplify]: iters left: 5 (238 enodes)
105.033 * * [simplify]: Extracting #0: cost 1 inf + 0
105.033 * * [simplify]: Extracting #1: cost 3 inf + 0
105.033 * * [simplify]: Extracting #2: cost 6 inf + 0
105.033 * * [simplify]: Extracting #3: cost 56 inf + 0
105.033 * * [simplify]: Extracting #4: cost 141 inf + 0
105.034 * * [simplify]: Extracting #5: cost 198 inf + 44
105.040 * * [simplify]: Extracting #6: cost 241 inf + 3826
105.045 * * [simplify]: Extracting #7: cost 194 inf + 15502
105.052 * * [simplify]: Extracting #8: cost 138 inf + 30007
105.060 * * [simplify]: Extracting #9: cost 87 inf + 49033
105.071 * * [simplify]: Extracting #10: cost 48 inf + 62846
105.089 * * [simplify]: Extracting #11: cost 5 inf + 102761
105.120 * * [simplify]: Extracting #12: cost 0 inf + 109206
105.147 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))))))
105.147 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
105.148 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
105.148 * * [simplify]: iters left: 6 (24 enodes)
105.155 * * [simplify]: iters left: 5 (107 enodes)
105.186 * * [simplify]: iters left: 4 (306 enodes)
105.357 * * [simplify]: Extracting #0: cost 1 inf + 0
105.357 * * [simplify]: Extracting #1: cost 3 inf + 0
105.358 * * [simplify]: Extracting #2: cost 63 inf + 0
105.358 * * [simplify]: Extracting #3: cost 293 inf + 0
105.360 * * [simplify]: Extracting #4: cost 379 inf + 208
105.363 * * [simplify]: Extracting #5: cost 374 inf + 15016
105.387 * * [simplify]: Extracting #6: cost 169 inf + 92401
105.443 * * [simplify]: Extracting #7: cost 4 inf + 161029
105.525 * * [simplify]: Extracting #8: cost 0 inf + 163323
105.605 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (+ lambda1 lambda2))))
105.605 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (+ lambda1 lambda2)))))))
105.606 * * * * [progress]: [ 52 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
105.607 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
105.607 * * [simplify]: iters left: 6 (49 enodes)
105.624 * * [simplify]: iters left: 5 (238 enodes)
105.680 * * [simplify]: Extracting #0: cost 1 inf + 0
105.680 * * [simplify]: Extracting #1: cost 3 inf + 0
105.680 * * [simplify]: Extracting #2: cost 6 inf + 0
105.680 * * [simplify]: Extracting #3: cost 58 inf + 0
105.681 * * [simplify]: Extracting #4: cost 139 inf + 0
105.682 * * [simplify]: Extracting #5: cost 192 inf + 166
105.685 * * [simplify]: Extracting #6: cost 220 inf + 6545
105.690 * * [simplify]: Extracting #7: cost 192 inf + 15023
105.705 * * [simplify]: Extracting #8: cost 114 inf + 36020
105.727 * * [simplify]: Extracting #9: cost 39 inf + 68623
105.761 * * [simplify]: Extracting #10: cost 4 inf + 102058
105.802 * * [simplify]: Extracting #11: cost 0 inf + 107038
105.824 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))))))
105.824 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
105.825 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
105.825 * * [simplify]: iters left: 6 (24 enodes)
105.830 * * [simplify]: iters left: 5 (107 enodes)
105.856 * * [simplify]: iters left: 4 (304 enodes)
106.015 * * [simplify]: Extracting #0: cost 1 inf + 0
106.015 * * [simplify]: Extracting #1: cost 3 inf + 0
106.015 * * [simplify]: Extracting #2: cost 55 inf + 0
106.016 * * [simplify]: Extracting #3: cost 272 inf + 0
106.017 * * [simplify]: Extracting #4: cost 345 inf + 695
106.020 * * [simplify]: Extracting #5: cost 346 inf + 12656
106.046 * * [simplify]: Extracting #6: cost 177 inf + 73703
106.094 * * [simplify]: Extracting #7: cost 4 inf + 144598
106.144 * * [simplify]: Extracting #8: cost 0 inf + 146128
106.188 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (+ phi1 phi2))))
106.188 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (+ phi1 phi2)))))))
106.189 * * * * [progress]: [ 53 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
106.190 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
106.190 * * [simplify]: iters left: 6 (43 enodes)
106.211 * * [simplify]: iters left: 5 (202 enodes)
106.274 * * [simplify]: Extracting #0: cost 1 inf + 0
106.274 * * [simplify]: Extracting #1: cost 3 inf + 0
106.274 * * [simplify]: Extracting #2: cost 6 inf + 0
106.274 * * [simplify]: Extracting #3: cost 50 inf + 0
106.275 * * [simplify]: Extracting #4: cost 107 inf + 0
106.275 * * [simplify]: Extracting #5: cost 141 inf + 126
106.276 * * [simplify]: Extracting #6: cost 197 inf + 1805
106.277 * * [simplify]: Extracting #7: cost 185 inf + 5178
106.280 * * [simplify]: Extracting #8: cost 139 inf + 13269
106.285 * * [simplify]: Extracting #9: cost 85 inf + 33312
106.307 * * [simplify]: Extracting #10: cost 11 inf + 75260
106.341 * * [simplify]: Extracting #11: cost 0 inf + 84577
106.376 * * [simplify]: Extracting #12: cost 0 inf + 84257
106.410 * * [simplify]: Extracting #13: cost 0 inf + 84217
106.428 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
106.428 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
106.429 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))
106.429 * * [simplify]: iters left: 6 (19 enodes)
106.433 * * [simplify]: iters left: 5 (85 enodes)
106.459 * * [simplify]: iters left: 4 (234 enodes)
106.538 * * [simplify]: Extracting #0: cost 1 inf + 0
106.538 * * [simplify]: Extracting #1: cost 3 inf + 0
106.538 * * [simplify]: Extracting #2: cost 31 inf + 0
106.538 * * [simplify]: Extracting #3: cost 140 inf + 0
106.539 * * [simplify]: Extracting #4: cost 186 inf + 290
106.541 * * [simplify]: Extracting #5: cost 223 inf + 5292
106.544 * * [simplify]: Extracting #6: cost 165 inf + 19635
106.564 * * [simplify]: Extracting #7: cost 42 inf + 56393
106.596 * * [simplify]: Extracting #8: cost 4 inf + 72800
106.616 * * [simplify]: Extracting #9: cost 0 inf + 74853
106.647 * [simplify]: Simplified to (sqrt (* (* (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (+ lambda1 lambda2))))
106.647 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (+ lambda1 lambda2)))))))
106.649 * * * * [progress]: [ 54 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
106.649 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
106.650 * * [simplify]: iters left: 6 (48 enodes)
106.676 * * [simplify]: iters left: 5 (230 enodes)
106.775 * * [simplify]: Extracting #0: cost 1 inf + 0
106.775 * * [simplify]: Extracting #1: cost 3 inf + 0
106.775 * * [simplify]: Extracting #2: cost 10 inf + 0
106.775 * * [simplify]: Extracting #3: cost 70 inf + 0
106.776 * * [simplify]: Extracting #4: cost 124 inf + 42
106.777 * * [simplify]: Extracting #5: cost 164 inf + 207
106.778 * * [simplify]: Extracting #6: cost 222 inf + 2166
106.781 * * [simplify]: Extracting #7: cost 198 inf + 8422
106.786 * * [simplify]: Extracting #8: cost 152 inf + 17400
106.797 * * [simplify]: Extracting #9: cost 94 inf + 37153
106.810 * * [simplify]: Extracting #10: cost 43 inf + 59313
106.827 * * [simplify]: Extracting #11: cost 7 inf + 90413
106.859 * * [simplify]: Extracting #12: cost 1 inf + 97403
106.885 * * [simplify]: Extracting #13: cost 0 inf + 98828
106.914 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))
106.914 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
106.915 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
106.915 * * [simplify]: iters left: 6 (22 enodes)
106.926 * * [simplify]: iters left: 5 (98 enodes)
106.950 * * [simplify]: iters left: 4 (251 enodes)
107.048 * * [simplify]: Extracting #0: cost 1 inf + 0
107.048 * * [simplify]: Extracting #1: cost 3 inf + 0
107.048 * * [simplify]: Extracting #2: cost 28 inf + 0
107.049 * * [simplify]: Extracting #3: cost 110 inf + 0
107.050 * * [simplify]: Extracting #4: cost 176 inf + 454
107.052 * * [simplify]: Extracting #5: cost 231 inf + 2616
107.066 * * [simplify]: Extracting #6: cost 125 inf + 34132
107.097 * * [simplify]: Extracting #7: cost 2 inf + 77040
107.132 * * [simplify]: Extracting #8: cost 0 inf + 78368
107.180 * * [simplify]: Extracting #9: cost 0 inf + 78288
107.220 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))
107.221 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))))
107.222 * * * * [progress]: [ 55 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
107.222 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
107.223 * * [simplify]: iters left: 6 (43 enodes)
107.245 * * [simplify]: iters left: 5 (202 enodes)
107.320 * * [simplify]: Extracting #0: cost 1 inf + 0
107.320 * * [simplify]: Extracting #1: cost 3 inf + 0
107.320 * * [simplify]: Extracting #2: cost 10 inf + 0
107.320 * * [simplify]: Extracting #3: cost 62 inf + 0
107.320 * * [simplify]: Extracting #4: cost 104 inf + 86
107.321 * * [simplify]: Extracting #5: cost 124 inf + 1472
107.323 * * [simplify]: Extracting #6: cost 188 inf + 2934
107.325 * * [simplify]: Extracting #7: cost 190 inf + 4442
107.327 * * [simplify]: Extracting #8: cost 141 inf + 12542
107.332 * * [simplify]: Extracting #9: cost 97 inf + 27307
107.340 * * [simplify]: Extracting #10: cost 36 inf + 51907
107.358 * * [simplify]: Extracting #11: cost 5 inf + 74822
107.383 * * [simplify]: Extracting #12: cost 0 inf + 80227
107.415 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
107.415 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
107.416 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
107.416 * * [simplify]: iters left: 6 (18 enodes)
107.425 * * [simplify]: iters left: 5 (80 enodes)
107.453 * * [simplify]: iters left: 4 (194 enodes)
107.547 * * [simplify]: Extracting #0: cost 1 inf + 0
107.547 * * [simplify]: Extracting #1: cost 3 inf + 0
107.547 * * [simplify]: Extracting #2: cost 18 inf + 0
107.547 * * [simplify]: Extracting #3: cost 48 inf + 0
107.548 * * [simplify]: Extracting #4: cost 86 inf + 44
107.549 * * [simplify]: Extracting #5: cost 157 inf + 88
107.551 * * [simplify]: Extracting #6: cost 138 inf + 3707
107.562 * * [simplify]: Extracting #7: cost 33 inf + 29870
107.581 * * [simplify]: Extracting #8: cost 0 inf + 38909
107.600 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))))
107.600 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ phi1 phi2) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))))))
107.601 * * * * [progress]: [ 56 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
107.601 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
107.602 * * [simplify]: iters left: 6 (48 enodes)
107.626 * * [simplify]: iters left: 5 (230 enodes)
107.720 * * [simplify]: Extracting #0: cost 1 inf + 0
107.720 * * [simplify]: Extracting #1: cost 3 inf + 0
107.721 * * [simplify]: Extracting #2: cost 10 inf + 0
107.721 * * [simplify]: Extracting #3: cost 70 inf + 0
107.721 * * [simplify]: Extracting #4: cost 124 inf + 42
107.722 * * [simplify]: Extracting #5: cost 163 inf + 249
107.724 * * [simplify]: Extracting #6: cost 225 inf + 1762
107.726 * * [simplify]: Extracting #7: cost 198 inf + 8975
107.729 * * [simplify]: Extracting #8: cost 152 inf + 18092
107.735 * * [simplify]: Extracting #9: cost 93 inf + 37337
107.745 * * [simplify]: Extracting #10: cost 42 inf + 60418
107.771 * * [simplify]: Extracting #11: cost 7 inf + 91013
107.799 * * [simplify]: Extracting #12: cost 0 inf + 99788
107.826 * * [simplify]: Extracting #13: cost 0 inf + 99468
107.866 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))
107.866 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
107.867 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
107.867 * * [simplify]: iters left: 6 (22 enodes)
107.873 * * [simplify]: iters left: 5 (98 enodes)
107.891 * * [simplify]: iters left: 4 (251 enodes)
108.032 * * [simplify]: Extracting #0: cost 1 inf + 0
108.032 * * [simplify]: Extracting #1: cost 3 inf + 0
108.032 * * [simplify]: Extracting #2: cost 28 inf + 0
108.033 * * [simplify]: Extracting #3: cost 110 inf + 0
108.034 * * [simplify]: Extracting #4: cost 176 inf + 454
108.036 * * [simplify]: Extracting #5: cost 231 inf + 2616
108.048 * * [simplify]: Extracting #6: cost 125 inf + 34132
108.083 * * [simplify]: Extracting #7: cost 2 inf + 77040
108.123 * * [simplify]: Extracting #8: cost 0 inf + 78368
108.161 * * [simplify]: Extracting #9: cost 0 inf + 78288
108.184 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))
108.184 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))))
108.185 * * * * [progress]: [ 57 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
108.185 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
108.185 * * [simplify]: iters left: 6 (43 enodes)
108.206 * * [simplify]: iters left: 5 (202 enodes)
108.257 * * [simplify]: Extracting #0: cost 1 inf + 0
108.257 * * [simplify]: Extracting #1: cost 3 inf + 0
108.257 * * [simplify]: Extracting #2: cost 10 inf + 0
108.258 * * [simplify]: Extracting #3: cost 61 inf + 0
108.258 * * [simplify]: Extracting #4: cost 105 inf + 44
108.259 * * [simplify]: Extracting #5: cost 131 inf + 659
108.261 * * [simplify]: Extracting #6: cost 187 inf + 2856
108.262 * * [simplify]: Extracting #7: cost 182 inf + 5296
108.265 * * [simplify]: Extracting #8: cost 142 inf + 12500
108.270 * * [simplify]: Extracting #9: cost 99 inf + 26390
108.281 * * [simplify]: Extracting #10: cost 36 inf + 51766
108.298 * * [simplify]: Extracting #11: cost 5 inf + 75222
108.322 * * [simplify]: Extracting #12: cost 0 inf + 80627
108.339 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
108.339 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
108.340 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
108.340 * * [simplify]: iters left: 6 (18 enodes)
108.344 * * [simplify]: iters left: 5 (80 enodes)
108.367 * * [simplify]: iters left: 4 (194 enodes)
108.433 * * [simplify]: Extracting #0: cost 1 inf + 0
108.433 * * [simplify]: Extracting #1: cost 3 inf + 0
108.433 * * [simplify]: Extracting #2: cost 18 inf + 0
108.434 * * [simplify]: Extracting #3: cost 48 inf + 0
108.434 * * [simplify]: Extracting #4: cost 86 inf + 44
108.435 * * [simplify]: Extracting #5: cost 157 inf + 88
108.437 * * [simplify]: Extracting #6: cost 138 inf + 3707
108.444 * * [simplify]: Extracting #7: cost 33 inf + 29870
108.455 * * [simplify]: Extracting #8: cost 0 inf + 38909
108.465 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))))
108.465 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (+ phi1 phi2) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))))))
108.466 * * * * [progress]: [ 58 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
108.467 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
108.468 * * [simplify]: iters left: 6 (45 enodes)
108.496 * * [simplify]: iters left: 5 (216 enodes)
108.559 * * [simplify]: Extracting #0: cost 1 inf + 0
108.559 * * [simplify]: Extracting #1: cost 3 inf + 0
108.559 * * [simplify]: Extracting #2: cost 6 inf + 0
108.559 * * [simplify]: Extracting #3: cost 52 inf + 0
108.560 * * [simplify]: Extracting #4: cost 118 inf + 0
108.561 * * [simplify]: Extracting #5: cost 184 inf + 0
108.562 * * [simplify]: Extracting #6: cost 249 inf + 251
108.566 * * [simplify]: Extracting #7: cost 201 inf + 12178
108.573 * * [simplify]: Extracting #8: cost 144 inf + 20190
108.584 * * [simplify]: Extracting #9: cost 96 inf + 35294
108.607 * * [simplify]: Extracting #10: cost 44 inf + 60724
108.635 * * [simplify]: Extracting #11: cost 8 inf + 94294
108.657 * * [simplify]: Extracting #12: cost 0 inf + 102334
108.698 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))
108.698 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
108.699 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
108.700 * * [simplify]: iters left: 6 (22 enodes)
108.710 * * [simplify]: iters left: 5 (100 enodes)
108.749 * * [simplify]: iters left: 4 (315 enodes)
108.945 * * [simplify]: Extracting #0: cost 1 inf + 0
108.945 * * [simplify]: Extracting #1: cost 3 inf + 0
108.945 * * [simplify]: Extracting #2: cost 39 inf + 0
108.946 * * [simplify]: Extracting #3: cost 282 inf + 0
108.949 * * [simplify]: Extracting #4: cost 442 inf + 126
108.955 * * [simplify]: Extracting #5: cost 460 inf + 10526
108.998 * * [simplify]: Extracting #6: cost 192 inf + 118088
109.080 * * [simplify]: Extracting #7: cost 3 inf + 196806
109.141 * * [simplify]: Extracting #8: cost 0 inf + 192938
109.206 * * [simplify]: Extracting #9: cost 0 inf + 192578
109.267 * * [simplify]: Extracting #10: cost 0 inf + 192538
109.331 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))
109.331 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))))))
109.333 * * * * [progress]: [ 59 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
109.333 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
109.334 * * [simplify]: iters left: 6 (46 enodes)
109.361 * * [simplify]: iters left: 5 (225 enodes)
109.422 * * [simplify]: Extracting #0: cost 1 inf + 0
109.422 * * [simplify]: Extracting #1: cost 3 inf + 0
109.422 * * [simplify]: Extracting #2: cost 6 inf + 0
109.422 * * [simplify]: Extracting #3: cost 56 inf + 0
109.423 * * [simplify]: Extracting #4: cost 141 inf + 0
109.424 * * [simplify]: Extracting #5: cost 197 inf + 126
109.426 * * [simplify]: Extracting #6: cost 240 inf + 5276
109.428 * * [simplify]: Extracting #7: cost 191 inf + 15839
109.437 * * [simplify]: Extracting #8: cost 131 inf + 28883
109.445 * * [simplify]: Extracting #9: cost 68 inf + 51244
109.461 * * [simplify]: Extracting #10: cost 17 inf + 89238
109.497 * * [simplify]: Extracting #11: cost 0 inf + 105391
109.519 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
109.519 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
109.520 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
109.520 * * [simplify]: iters left: 6 (23 enodes)
109.525 * * [simplify]: iters left: 5 (104 enodes)
109.553 * * [simplify]: iters left: 4 (312 enodes)
109.737 * * [simplify]: Extracting #0: cost 1 inf + 0
109.737 * * [simplify]: Extracting #1: cost 3 inf + 0
109.737 * * [simplify]: Extracting #2: cost 65 inf + 0
109.738 * * [simplify]: Extracting #3: cost 297 inf + 0
109.739 * * [simplify]: Extracting #4: cost 385 inf + 250
109.742 * * [simplify]: Extracting #5: cost 419 inf + 7575
109.772 * * [simplify]: Extracting #6: cost 210 inf + 93963
109.836 * * [simplify]: Extracting #7: cost 8 inf + 178175
109.903 * * [simplify]: Extracting #8: cost 0 inf + 175161
109.974 * * [simplify]: Extracting #9: cost 0 inf + 174961
110.042 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))))
110.042 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))))))
110.043 * * * * [progress]: [ 60 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
110.044 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
110.045 * * [simplify]: iters left: 6 (46 enodes)
110.068 * * [simplify]: iters left: 5 (225 enodes)
110.165 * * [simplify]: Extracting #0: cost 1 inf + 0
110.166 * * [simplify]: Extracting #1: cost 3 inf + 0
110.166 * * [simplify]: Extracting #2: cost 6 inf + 0
110.166 * * [simplify]: Extracting #3: cost 58 inf + 0
110.166 * * [simplify]: Extracting #4: cost 139 inf + 0
110.167 * * [simplify]: Extracting #5: cost 193 inf + 126
110.169 * * [simplify]: Extracting #6: cost 236 inf + 4604
110.174 * * [simplify]: Extracting #7: cost 194 inf + 14094
110.180 * * [simplify]: Extracting #8: cost 148 inf + 21805
110.191 * * [simplify]: Extracting #9: cost 101 inf + 34075
110.204 * * [simplify]: Extracting #10: cost 49 inf + 59672
110.223 * * [simplify]: Extracting #11: cost 1 inf + 101238
110.256 * * [simplify]: Extracting #12: cost 0 inf + 102983
110.298 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
110.298 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
110.300 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
110.300 * * [simplify]: iters left: 6 (23 enodes)
110.306 * * [simplify]: iters left: 5 (104 enodes)
110.326 * * [simplify]: iters left: 4 (310 enodes)
110.570 * * [simplify]: Extracting #0: cost 1 inf + 0
110.571 * * [simplify]: Extracting #1: cost 3 inf + 0
110.571 * * [simplify]: Extracting #2: cost 57 inf + 0
110.572 * * [simplify]: Extracting #3: cost 278 inf + 0
110.574 * * [simplify]: Extracting #4: cost 355 inf + 454
110.581 * * [simplify]: Extracting #5: cost 380 inf + 8882
110.610 * * [simplify]: Extracting #6: cost 209 inf + 80599
110.651 * * [simplify]: Extracting #7: cost 13 inf + 159898
110.715 * * [simplify]: Extracting #8: cost 0 inf + 158940
110.798 * * [simplify]: Extracting #9: cost 0 inf + 158580
110.853 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))))
110.853 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))))))))
110.854 * * * * [progress]: [ 61 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
110.855 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
110.855 * * [simplify]: iters left: 6 (40 enodes)
110.876 * * [simplify]: iters left: 5 (189 enodes)
110.929 * * [simplify]: Extracting #0: cost 1 inf + 0
110.929 * * [simplify]: Extracting #1: cost 3 inf + 0
110.929 * * [simplify]: Extracting #2: cost 6 inf + 0
110.929 * * [simplify]: Extracting #3: cost 50 inf + 0
110.930 * * [simplify]: Extracting #4: cost 107 inf + 0
110.930 * * [simplify]: Extracting #5: cost 142 inf + 44
110.932 * * [simplify]: Extracting #6: cost 186 inf + 2083
110.934 * * [simplify]: Extracting #7: cost 183 inf + 3268
110.939 * * [simplify]: Extracting #8: cost 106 inf + 22250
110.948 * * [simplify]: Extracting #9: cost 54 inf + 45401
110.964 * * [simplify]: Extracting #10: cost 8 inf + 76859
110.994 * * [simplify]: Extracting #11: cost 0 inf + 81722
111.014 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))))) (* (cbrt (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))))))
111.014 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))))) (* (cbrt (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
111.015 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
111.015 * * [simplify]: iters left: 6 (18 enodes)
111.019 * * [simplify]: iters left: 5 (82 enodes)
111.040 * * [simplify]: iters left: 4 (240 enodes)
111.144 * * [simplify]: Extracting #0: cost 1 inf + 0
111.144 * * [simplify]: Extracting #1: cost 3 inf + 0
111.145 * * [simplify]: Extracting #2: cost 30 inf + 0
111.145 * * [simplify]: Extracting #3: cost 139 inf + 0
111.146 * * [simplify]: Extracting #4: cost 186 inf + 292
111.149 * * [simplify]: Extracting #5: cost 239 inf + 3984
111.158 * * [simplify]: Extracting #6: cost 186 inf + 23805
111.192 * * [simplify]: Extracting #7: cost 25 inf + 74720
111.235 * * [simplify]: Extracting #8: cost 0 inf + 78989
111.274 * * [simplify]: Extracting #9: cost 0 inf + 78389
111.307 * * [simplify]: Extracting #10: cost 0 inf + 78349
111.331 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))
111.331 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))))
111.332 * * * * [progress]: [ 62 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
111.332 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
111.333 * * [simplify]: iters left: 6 (45 enodes)
111.357 * * [simplify]: iters left: 5 (217 enodes)
111.422 * * [simplify]: Extracting #0: cost 1 inf + 0
111.422 * * [simplify]: Extracting #1: cost 3 inf + 0
111.422 * * [simplify]: Extracting #2: cost 10 inf + 0
111.422 * * [simplify]: Extracting #3: cost 70 inf + 0
111.422 * * [simplify]: Extracting #4: cost 125 inf + 1
111.423 * * [simplify]: Extracting #5: cost 166 inf + 124
111.424 * * [simplify]: Extracting #6: cost 225 inf + 1043
111.427 * * [simplify]: Extracting #7: cost 201 inf + 7933
111.433 * * [simplify]: Extracting #8: cost 116 inf + 28462
111.446 * * [simplify]: Extracting #9: cost 45 inf + 58597
111.463 * * [simplify]: Extracting #10: cost 2 inf + 94643
111.494 * * [simplify]: Extracting #11: cost 0 inf + 96413
111.532 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))
111.532 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
111.533 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
111.533 * * [simplify]: iters left: 6 (21 enodes)
111.543 * * [simplify]: iters left: 5 (95 enodes)
111.589 * * [simplify]: iters left: 4 (257 enodes)
111.690 * * [simplify]: Extracting #0: cost 1 inf + 0
111.690 * * [simplify]: Extracting #1: cost 3 inf + 0
111.690 * * [simplify]: Extracting #2: cost 28 inf + 0
111.691 * * [simplify]: Extracting #3: cost 112 inf + 0
111.691 * * [simplify]: Extracting #4: cost 182 inf + 372
111.692 * * [simplify]: Extracting #5: cost 255 inf + 986
111.697 * * [simplify]: Extracting #6: cost 171 inf + 24184
111.722 * * [simplify]: Extracting #7: cost 18 inf + 75618
111.752 * * [simplify]: Extracting #8: cost 0 inf + 83878
111.793 * * [simplify]: Extracting #9: cost 0 inf + 83798
111.837 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))
111.838 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))
111.839 * * * * [progress]: [ 63 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
111.839 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
111.840 * * [simplify]: iters left: 6 (40 enodes)
111.858 * * [simplify]: iters left: 5 (189 enodes)
111.908 * * [simplify]: Extracting #0: cost 1 inf + 0
111.908 * * [simplify]: Extracting #1: cost 3 inf + 0
111.908 * * [simplify]: Extracting #2: cost 10 inf + 0
111.908 * * [simplify]: Extracting #3: cost 62 inf + 0
111.909 * * [simplify]: Extracting #4: cost 104 inf + 86
111.910 * * [simplify]: Extracting #5: cost 118 inf + 2364
111.912 * * [simplify]: Extracting #6: cost 179 inf + 2932
111.914 * * [simplify]: Extracting #7: cost 183 inf + 3223
111.920 * * [simplify]: Extracting #8: cost 108 inf + 21015
111.933 * * [simplify]: Extracting #9: cost 54 inf + 44196
111.957 * * [simplify]: Extracting #10: cost 12 inf + 68175
111.986 * * [simplify]: Extracting #11: cost 0 inf + 79252
112.017 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))
112.017 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
112.019 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
112.019 * * [simplify]: iters left: 6 (17 enodes)
112.026 * * [simplify]: iters left: 5 (77 enodes)
112.042 * * [simplify]: iters left: 4 (200 enodes)
112.128 * * [simplify]: Extracting #0: cost 1 inf + 0
112.128 * * [simplify]: Extracting #1: cost 3 inf + 0
112.128 * * [simplify]: Extracting #2: cost 18 inf + 0
112.128 * * [simplify]: Extracting #3: cost 48 inf + 0
112.129 * * [simplify]: Extracting #4: cost 90 inf + 2
112.130 * * [simplify]: Extracting #5: cost 168 inf + 44
112.132 * * [simplify]: Extracting #6: cost 146 inf + 5510
112.142 * * [simplify]: Extracting #7: cost 45 inf + 28178
112.163 * * [simplify]: Extracting #8: cost 2 inf + 41090
112.186 * * [simplify]: Extracting #9: cost 0 inf + 41775
112.208 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))
112.208 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ phi1 phi2) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))
112.209 * * * * [progress]: [ 64 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
112.209 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
112.210 * * [simplify]: iters left: 6 (45 enodes)
112.233 * * [simplify]: iters left: 5 (217 enodes)
112.323 * * [simplify]: Extracting #0: cost 1 inf + 0
112.323 * * [simplify]: Extracting #1: cost 3 inf + 0
112.323 * * [simplify]: Extracting #2: cost 10 inf + 0
112.323 * * [simplify]: Extracting #3: cost 70 inf + 0
112.324 * * [simplify]: Extracting #4: cost 125 inf + 1
112.325 * * [simplify]: Extracting #5: cost 163 inf + 289
112.326 * * [simplify]: Extracting #6: cost 218 inf + 2521
112.329 * * [simplify]: Extracting #7: cost 200 inf + 8137
112.337 * * [simplify]: Extracting #8: cost 116 inf + 28806
112.356 * * [simplify]: Extracting #9: cost 44 inf + 60382
112.383 * * [simplify]: Extracting #10: cost 2 inf + 95443
112.403 * * [simplify]: Extracting #11: cost 0 inf + 97373
112.434 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))
112.435 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
112.436 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
112.436 * * [simplify]: iters left: 6 (21 enodes)
112.446 * * [simplify]: iters left: 5 (95 enodes)
112.486 * * [simplify]: iters left: 4 (257 enodes)
112.635 * * [simplify]: Extracting #0: cost 1 inf + 0
112.636 * * [simplify]: Extracting #1: cost 3 inf + 0
112.636 * * [simplify]: Extracting #2: cost 28 inf + 0
112.636 * * [simplify]: Extracting #3: cost 112 inf + 0
112.637 * * [simplify]: Extracting #4: cost 182 inf + 372
112.640 * * [simplify]: Extracting #5: cost 255 inf + 986
112.648 * * [simplify]: Extracting #6: cost 171 inf + 24184
112.668 * * [simplify]: Extracting #7: cost 18 inf + 75618
112.694 * * [simplify]: Extracting #8: cost 0 inf + 83878
112.730 * * [simplify]: Extracting #9: cost 0 inf + 83798
112.765 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))
112.765 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))
112.766 * * * * [progress]: [ 65 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
112.766 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
112.767 * * [simplify]: iters left: 6 (40 enodes)
112.777 * * [simplify]: iters left: 5 (189 enodes)
112.824 * * [simplify]: Extracting #0: cost 1 inf + 0
112.824 * * [simplify]: Extracting #1: cost 3 inf + 0
112.824 * * [simplify]: Extracting #2: cost 10 inf + 0
112.824 * * [simplify]: Extracting #3: cost 61 inf + 0
112.825 * * [simplify]: Extracting #4: cost 104 inf + 86
112.825 * * [simplify]: Extracting #5: cost 119 inf + 2242
112.826 * * [simplify]: Extracting #6: cost 179 inf + 2932
112.827 * * [simplify]: Extracting #7: cost 184 inf + 3182
112.830 * * [simplify]: Extracting #8: cost 108 inf + 20511
112.839 * * [simplify]: Extracting #9: cost 54 inf + 44537
112.867 * * [simplify]: Extracting #10: cost 10 inf + 70052
112.900 * * [simplify]: Extracting #11: cost 0 inf + 79652
112.933 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))))
112.933 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
112.935 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
112.935 * * [simplify]: iters left: 6 (17 enodes)
112.943 * * [simplify]: iters left: 5 (77 enodes)
112.972 * * [simplify]: iters left: 4 (200 enodes)
113.042 * * [simplify]: Extracting #0: cost 1 inf + 0
113.042 * * [simplify]: Extracting #1: cost 3 inf + 0
113.042 * * [simplify]: Extracting #2: cost 18 inf + 0
113.042 * * [simplify]: Extracting #3: cost 48 inf + 0
113.042 * * [simplify]: Extracting #4: cost 90 inf + 2
113.043 * * [simplify]: Extracting #5: cost 168 inf + 44
113.045 * * [simplify]: Extracting #6: cost 146 inf + 5510
113.052 * * [simplify]: Extracting #7: cost 45 inf + 28178
113.077 * * [simplify]: Extracting #8: cost 2 inf + 41090
113.099 * * [simplify]: Extracting #9: cost 0 inf + 41775
113.112 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))
113.112 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (+ phi1 phi2) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))
113.113 * * * * [progress]: [ 66 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
113.113 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
113.113 * * [simplify]: iters left: 6 (48 enodes)
113.126 * * [simplify]: iters left: 5 (229 enodes)
113.207 * * [simplify]: Extracting #0: cost 1 inf + 0
113.207 * * [simplify]: Extracting #1: cost 3 inf + 0
113.207 * * [simplify]: Extracting #2: cost 6 inf + 0
113.207 * * [simplify]: Extracting #3: cost 52 inf + 0
113.207 * * [simplify]: Extracting #4: cost 118 inf + 0
113.207 * * [simplify]: Extracting #5: cost 185 inf + 0
113.208 * * [simplify]: Extracting #6: cost 253 inf + 1134
113.209 * * [simplify]: Extracting #7: cost 218 inf + 10033
113.215 * * [simplify]: Extracting #8: cost 117 inf + 37144
113.235 * * [simplify]: Extracting #9: cost 42 inf + 62859
113.260 * * [simplify]: Extracting #10: cost 5 inf + 100504
113.289 * * [simplify]: Extracting #11: cost 0 inf + 107109
113.335 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))
113.335 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
113.336 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
113.336 * * [simplify]: iters left: 6 (23 enodes)
113.347 * * [simplify]: iters left: 5 (103 enodes)
113.385 * * [simplify]: iters left: 4 (309 enodes)
113.597 * * [simplify]: Extracting #0: cost 1 inf + 0
113.597 * * [simplify]: Extracting #1: cost 3 inf + 0
113.597 * * [simplify]: Extracting #2: cost 38 inf + 0
113.598 * * [simplify]: Extracting #3: cost 277 inf + 0
113.601 * * [simplify]: Extracting #4: cost 431 inf + 248
113.610 * * [simplify]: Extracting #5: cost 408 inf + 17506
113.654 * * [simplify]: Extracting #6: cost 159 inf + 108650
113.713 * * [simplify]: Extracting #7: cost 2 inf + 181082
113.790 * * [simplify]: Extracting #8: cost 0 inf + 181326
113.852 * * [simplify]: Extracting #9: cost 0 inf + 181246
113.925 * [simplify]: Simplified to (sqrt (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))
113.925 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))))
113.926 * * * * [progress]: [ 67 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
113.927 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
113.928 * * [simplify]: iters left: 6 (49 enodes)
113.946 * * [simplify]: iters left: 5 (238 enodes)
114.009 * * [simplify]: Extracting #0: cost 1 inf + 0
114.009 * * [simplify]: Extracting #1: cost 3 inf + 0
114.009 * * [simplify]: Extracting #2: cost 6 inf + 0
114.009 * * [simplify]: Extracting #3: cost 56 inf + 0
114.009 * * [simplify]: Extracting #4: cost 141 inf + 0
114.010 * * [simplify]: Extracting #5: cost 197 inf + 207
114.011 * * [simplify]: Extracting #6: cost 227 inf + 5660
114.014 * * [simplify]: Extracting #7: cost 198 inf + 13297
114.020 * * [simplify]: Extracting #8: cost 120 inf + 32425
114.033 * * [simplify]: Extracting #9: cost 49 inf + 61323
114.053 * * [simplify]: Extracting #10: cost 5 inf + 101601
114.094 * * [simplify]: Extracting #11: cost 0 inf + 108006
114.135 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1))))))
114.135 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
114.137 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
114.137 * * [simplify]: iters left: 6 (24 enodes)
114.149 * * [simplify]: iters left: 5 (107 enodes)
114.169 * * [simplify]: iters left: 4 (306 enodes)
114.361 * * [simplify]: Extracting #0: cost 1 inf + 0
114.361 * * [simplify]: Extracting #1: cost 3 inf + 0
114.361 * * [simplify]: Extracting #2: cost 63 inf + 0
114.362 * * [simplify]: Extracting #3: cost 293 inf + 0
114.365 * * [simplify]: Extracting #4: cost 379 inf + 208
114.371 * * [simplify]: Extracting #5: cost 374 inf + 15016
114.390 * * [simplify]: Extracting #6: cost 169 inf + 92401
114.432 * * [simplify]: Extracting #7: cost 4 inf + 161029
114.507 * * [simplify]: Extracting #8: cost 0 inf + 163323
114.586 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (+ lambda1 lambda2))))
114.586 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (+ lambda1 lambda2)))))))
114.587 * * * * [progress]: [ 68 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
114.587 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
114.588 * * [simplify]: iters left: 6 (49 enodes)
114.613 * * [simplify]: iters left: 5 (238 enodes)
114.700 * * [simplify]: Extracting #0: cost 1 inf + 0
114.700 * * [simplify]: Extracting #1: cost 3 inf + 0
114.700 * * [simplify]: Extracting #2: cost 6 inf + 0
114.700 * * [simplify]: Extracting #3: cost 58 inf + 0
114.701 * * [simplify]: Extracting #4: cost 139 inf + 0
114.701 * * [simplify]: Extracting #5: cost 194 inf + 85
114.703 * * [simplify]: Extracting #6: cost 225 inf + 5618
114.705 * * [simplify]: Extracting #7: cost 193 inf + 14934
114.711 * * [simplify]: Extracting #8: cost 119 inf + 34433
114.728 * * [simplify]: Extracting #9: cost 40 inf + 66318
114.762 * * [simplify]: Extracting #10: cost 6 inf + 97728
114.799 * * [simplify]: Extracting #11: cost 0 inf + 105518
114.821 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1))))))
114.821 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
114.822 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
114.822 * * [simplify]: iters left: 6 (24 enodes)
114.829 * * [simplify]: iters left: 5 (107 enodes)
114.864 * * [simplify]: iters left: 4 (304 enodes)
115.028 * * [simplify]: Extracting #0: cost 1 inf + 0
115.028 * * [simplify]: Extracting #1: cost 3 inf + 0
115.029 * * [simplify]: Extracting #2: cost 55 inf + 0
115.030 * * [simplify]: Extracting #3: cost 272 inf + 0
115.032 * * [simplify]: Extracting #4: cost 345 inf + 695
115.039 * * [simplify]: Extracting #5: cost 346 inf + 12656
115.070 * * [simplify]: Extracting #6: cost 177 inf + 73703
115.106 * * [simplify]: Extracting #7: cost 4 inf + 144598
115.142 * * [simplify]: Extracting #8: cost 0 inf + 146128
115.211 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (+ phi1 phi2))))
115.211 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (+ phi1 phi2)))))))
115.212 * * * * [progress]: [ 69 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
115.212 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
115.213 * * [simplify]: iters left: 6 (43 enodes)
115.229 * * [simplify]: iters left: 5 (202 enodes)
115.282 * * [simplify]: Extracting #0: cost 1 inf + 0
115.282 * * [simplify]: Extracting #1: cost 3 inf + 0
115.282 * * [simplify]: Extracting #2: cost 6 inf + 0
115.283 * * [simplify]: Extracting #3: cost 50 inf + 0
115.283 * * [simplify]: Extracting #4: cost 107 inf + 0
115.284 * * [simplify]: Extracting #5: cost 142 inf + 126
115.285 * * [simplify]: Extracting #6: cost 197 inf + 1724
115.288 * * [simplify]: Extracting #7: cost 181 inf + 5544
115.295 * * [simplify]: Extracting #8: cost 114 inf + 21680
115.317 * * [simplify]: Extracting #9: cost 30 inf + 66644
115.334 * * [simplify]: Extracting #10: cost 2 inf + 84723
115.363 * * [simplify]: Extracting #11: cost 0 inf + 85377
115.397 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1)))))))
115.397 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
115.399 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))
115.399 * * [simplify]: iters left: 6 (19 enodes)
115.408 * * [simplify]: iters left: 5 (85 enodes)
115.424 * * [simplify]: iters left: 4 (234 enodes)
115.536 * * [simplify]: Extracting #0: cost 1 inf + 0
115.536 * * [simplify]: Extracting #1: cost 3 inf + 0
115.536 * * [simplify]: Extracting #2: cost 31 inf + 0
115.537 * * [simplify]: Extracting #3: cost 140 inf + 0
115.540 * * [simplify]: Extracting #4: cost 186 inf + 290
115.541 * * [simplify]: Extracting #5: cost 223 inf + 5292
115.545 * * [simplify]: Extracting #6: cost 165 inf + 19635
115.557 * * [simplify]: Extracting #7: cost 42 inf + 56393
115.575 * * [simplify]: Extracting #8: cost 4 inf + 72800
115.594 * * [simplify]: Extracting #9: cost 0 inf + 74853
115.614 * [simplify]: Simplified to (sqrt (* (* (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (+ lambda1 lambda2))))
115.614 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (cbrt (+ lambda1 lambda2)))))))
115.616 * * * * [progress]: [ 70 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
115.616 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
115.617 * * [simplify]: iters left: 6 (48 enodes)
115.644 * * [simplify]: iters left: 5 (230 enodes)
115.704 * * [simplify]: Extracting #0: cost 1 inf + 0
115.704 * * [simplify]: Extracting #1: cost 3 inf + 0
115.704 * * [simplify]: Extracting #2: cost 10 inf + 0
115.704 * * [simplify]: Extracting #3: cost 70 inf + 0
115.704 * * [simplify]: Extracting #4: cost 124 inf + 42
115.705 * * [simplify]: Extracting #5: cost 165 inf + 207
115.705 * * [simplify]: Extracting #6: cost 221 inf + 2169
115.707 * * [simplify]: Extracting #7: cost 198 inf + 8724
115.710 * * [simplify]: Extracting #8: cost 150 inf + 18164
115.716 * * [simplify]: Extracting #9: cost 94 inf + 38376
115.726 * * [simplify]: Extracting #10: cost 38 inf + 62278
115.745 * * [simplify]: Extracting #11: cost 6 inf + 92598
115.778 * * [simplify]: Extracting #12: cost 0 inf + 99788
115.812 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))
115.812 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
115.813 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
115.813 * * [simplify]: iters left: 6 (22 enodes)
115.818 * * [simplify]: iters left: 5 (98 enodes)
115.837 * * [simplify]: iters left: 4 (251 enodes)
115.933 * * [simplify]: Extracting #0: cost 1 inf + 0
115.933 * * [simplify]: Extracting #1: cost 3 inf + 0
115.933 * * [simplify]: Extracting #2: cost 28 inf + 0
115.934 * * [simplify]: Extracting #3: cost 110 inf + 0
115.934 * * [simplify]: Extracting #4: cost 176 inf + 454
115.935 * * [simplify]: Extracting #5: cost 231 inf + 2616
115.941 * * [simplify]: Extracting #6: cost 125 inf + 34132
115.972 * * [simplify]: Extracting #7: cost 2 inf + 77040
116.014 * * [simplify]: Extracting #8: cost 0 inf + 78368
116.036 * * [simplify]: Extracting #9: cost 0 inf + 78288
116.064 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))
116.064 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))))
116.066 * * * * [progress]: [ 71 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
116.066 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
116.067 * * [simplify]: iters left: 6 (43 enodes)
116.089 * * [simplify]: iters left: 5 (202 enodes)
116.145 * * [simplify]: Extracting #0: cost 1 inf + 0
116.145 * * [simplify]: Extracting #1: cost 3 inf + 0
116.145 * * [simplify]: Extracting #2: cost 10 inf + 0
116.145 * * [simplify]: Extracting #3: cost 62 inf + 0
116.146 * * [simplify]: Extracting #4: cost 104 inf + 86
116.147 * * [simplify]: Extracting #5: cost 130 inf + 742
116.148 * * [simplify]: Extracting #6: cost 187 inf + 2976
116.151 * * [simplify]: Extracting #7: cost 191 inf + 3877
116.155 * * [simplify]: Extracting #8: cost 144 inf + 13137
116.166 * * [simplify]: Extracting #9: cost 79 inf + 36084
116.179 * * [simplify]: Extracting #10: cost 27 inf + 57338
116.194 * * [simplify]: Extracting #11: cost 4 inf + 76247
116.216 * * [simplify]: Extracting #12: cost 0 inf + 80787
116.249 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1)))))
116.249 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
116.251 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
116.251 * * [simplify]: iters left: 6 (18 enodes)
116.259 * * [simplify]: iters left: 5 (80 enodes)
116.287 * * [simplify]: iters left: 4 (194 enodes)
116.351 * * [simplify]: Extracting #0: cost 1 inf + 0
116.351 * * [simplify]: Extracting #1: cost 3 inf + 0
116.351 * * [simplify]: Extracting #2: cost 18 inf + 0
116.352 * * [simplify]: Extracting #3: cost 48 inf + 0
116.352 * * [simplify]: Extracting #4: cost 86 inf + 44
116.352 * * [simplify]: Extracting #5: cost 157 inf + 88
116.353 * * [simplify]: Extracting #6: cost 138 inf + 3707
116.361 * * [simplify]: Extracting #7: cost 33 inf + 29870
116.380 * * [simplify]: Extracting #8: cost 0 inf + 38909
116.398 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))))
116.398 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ phi1 phi2) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))))))
116.399 * * * * [progress]: [ 72 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
116.399 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
116.400 * * [simplify]: iters left: 6 (48 enodes)
116.427 * * [simplify]: iters left: 5 (230 enodes)
116.520 * * [simplify]: Extracting #0: cost 1 inf + 0
116.520 * * [simplify]: Extracting #1: cost 3 inf + 0
116.521 * * [simplify]: Extracting #2: cost 10 inf + 0
116.521 * * [simplify]: Extracting #3: cost 70 inf + 0
116.521 * * [simplify]: Extracting #4: cost 124 inf + 42
116.522 * * [simplify]: Extracting #5: cost 164 inf + 249
116.524 * * [simplify]: Extracting #6: cost 225 inf + 1683
116.526 * * [simplify]: Extracting #7: cost 213 inf + 6245
116.531 * * [simplify]: Extracting #8: cost 155 inf + 16320
116.543 * * [simplify]: Extracting #9: cost 94 inf + 38073
116.567 * * [simplify]: Extracting #10: cost 38 inf + 62998
116.599 * * [simplify]: Extracting #11: cost 6 inf + 93238
116.639 * * [simplify]: Extracting #12: cost 0 inf + 100428
116.669 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))
116.669 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
116.670 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
116.670 * * [simplify]: iters left: 6 (22 enodes)
116.675 * * [simplify]: iters left: 5 (98 enodes)
116.692 * * [simplify]: iters left: 4 (251 enodes)
116.791 * * [simplify]: Extracting #0: cost 1 inf + 0
116.791 * * [simplify]: Extracting #1: cost 3 inf + 0
116.791 * * [simplify]: Extracting #2: cost 28 inf + 0
116.791 * * [simplify]: Extracting #3: cost 110 inf + 0
116.792 * * [simplify]: Extracting #4: cost 176 inf + 454
116.793 * * [simplify]: Extracting #5: cost 231 inf + 2616
116.803 * * [simplify]: Extracting #6: cost 125 inf + 34132
116.834 * * [simplify]: Extracting #7: cost 2 inf + 77040
116.871 * * [simplify]: Extracting #8: cost 0 inf + 78368
116.902 * * [simplify]: Extracting #9: cost 0 inf + 78288
116.938 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))
116.938 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))))
116.939 * * * * [progress]: [ 73 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
116.940 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
116.941 * * [simplify]: iters left: 6 (43 enodes)
116.966 * * [simplify]: iters left: 5 (202 enodes)
117.021 * * [simplify]: Extracting #0: cost 1 inf + 0
117.021 * * [simplify]: Extracting #1: cost 3 inf + 0
117.022 * * [simplify]: Extracting #2: cost 10 inf + 0
117.022 * * [simplify]: Extracting #3: cost 61 inf + 0
117.022 * * [simplify]: Extracting #4: cost 105 inf + 44
117.023 * * [simplify]: Extracting #5: cost 129 inf + 984
117.025 * * [simplify]: Extracting #6: cost 185 inf + 3060
117.027 * * [simplify]: Extracting #7: cost 183 inf + 5015
117.032 * * [simplify]: Extracting #8: cost 142 inf + 12421
117.041 * * [simplify]: Extracting #9: cost 98 inf + 26135
117.060 * * [simplify]: Extracting #10: cost 37 inf + 51682
117.075 * * [simplify]: Extracting #11: cost 3 inf + 77512
117.103 * * [simplify]: Extracting #12: cost 0 inf + 81187
117.136 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))
117.136 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
117.138 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
117.138 * * [simplify]: iters left: 6 (18 enodes)
117.146 * * [simplify]: iters left: 5 (80 enodes)
117.174 * * [simplify]: iters left: 4 (194 enodes)
117.234 * * [simplify]: Extracting #0: cost 1 inf + 0
117.234 * * [simplify]: Extracting #1: cost 3 inf + 0
117.234 * * [simplify]: Extracting #2: cost 18 inf + 0
117.234 * * [simplify]: Extracting #3: cost 48 inf + 0
117.235 * * [simplify]: Extracting #4: cost 86 inf + 44
117.236 * * [simplify]: Extracting #5: cost 157 inf + 88
117.238 * * [simplify]: Extracting #6: cost 138 inf + 3707
117.249 * * [simplify]: Extracting #7: cost 33 inf + 29870
117.259 * * [simplify]: Extracting #8: cost 0 inf + 38909
117.270 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))))
117.270 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (+ phi1 phi2) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))))))
117.270 * * * * [progress]: [ 74 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
117.271 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
117.271 * * [simplify]: iters left: 6 (47 enodes)
117.286 * * [simplify]: iters left: 5 (229 enodes)
117.350 * * [simplify]: Extracting #0: cost 1 inf + 0
117.350 * * [simplify]: Extracting #1: cost 3 inf + 0
117.350 * * [simplify]: Extracting #2: cost 6 inf + 0
117.350 * * [simplify]: Extracting #3: cost 48 inf + 0
117.350 * * [simplify]: Extracting #4: cost 112 inf + 0
117.351 * * [simplify]: Extracting #5: cost 183 inf + 0
117.351 * * [simplify]: Extracting #6: cost 267 inf + 210
117.353 * * [simplify]: Extracting #7: cost 242 inf + 6825
117.356 * * [simplify]: Extracting #8: cost 166 inf + 19672
117.362 * * [simplify]: Extracting #9: cost 91 inf + 42045
117.378 * * [simplify]: Extracting #10: cost 37 inf + 70495
117.412 * * [simplify]: Extracting #11: cost 11 inf + 95461
117.435 * * [simplify]: Extracting #12: cost 0 inf + 109376
117.468 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))))
117.469 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
117.469 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
117.470 * * [simplify]: iters left: 6 (24 enodes)
117.475 * * [simplify]: iters left: 5 (112 enodes)
117.499 * * [simplify]: iters left: 4 (363 enodes)
117.769 * * [simplify]: Extracting #0: cost 1 inf + 0
117.769 * * [simplify]: Extracting #1: cost 3 inf + 0
117.769 * * [simplify]: Extracting #2: cost 36 inf + 0
117.771 * * [simplify]: Extracting #3: cost 258 inf + 0
117.773 * * [simplify]: Extracting #4: cost 449 inf + 85
117.779 * * [simplify]: Extracting #5: cost 475 inf + 7619
117.803 * * [simplify]: Extracting #6: cost 278 inf + 62703
117.863 * * [simplify]: Extracting #7: cost 72 inf + 165302
117.928 * * [simplify]: Extracting #8: cost 1 inf + 204851
118.000 * * [simplify]: Extracting #9: cost 0 inf + 197935
118.090 * * [simplify]: Extracting #10: cost 0 inf + 197775
118.155 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
118.155 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))))
118.157 * * * * [progress]: [ 75 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
118.157 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
118.158 * * [simplify]: iters left: 6 (48 enodes)
118.184 * * [simplify]: iters left: 5 (238 enodes)
118.272 * * [simplify]: Extracting #0: cost 1 inf + 0
118.272 * * [simplify]: Extracting #1: cost 3 inf + 0
118.272 * * [simplify]: Extracting #2: cost 6 inf + 0
118.272 * * [simplify]: Extracting #3: cost 52 inf + 0
118.272 * * [simplify]: Extracting #4: cost 135 inf + 0
118.273 * * [simplify]: Extracting #5: cost 191 inf + 534
118.274 * * [simplify]: Extracting #6: cost 234 inf + 6500
118.277 * * [simplify]: Extracting #7: cost 220 inf + 12338
118.281 * * [simplify]: Extracting #8: cost 152 inf + 28166
118.294 * * [simplify]: Extracting #9: cost 74 inf + 50773
118.322 * * [simplify]: Extracting #10: cost 20 inf + 87943
118.344 * * [simplify]: Extracting #11: cost 1 inf + 106008
118.387 * * [simplify]: Extracting #12: cost 0 inf + 107833
118.431 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
118.432 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
118.433 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
118.433 * * [simplify]: iters left: 6 (25 enodes)
118.445 * * [simplify]: iters left: 5 (116 enodes)
118.490 * * [simplify]: iters left: 4 (360 enodes)
118.710 * * [simplify]: Extracting #0: cost 1 inf + 0
118.710 * * [simplify]: Extracting #1: cost 3 inf + 0
118.710 * * [simplify]: Extracting #2: cost 59 inf + 0
118.711 * * [simplify]: Extracting #3: cost 265 inf + 0
118.712 * * [simplify]: Extracting #4: cost 378 inf + 454
118.715 * * [simplify]: Extracting #5: cost 414 inf + 5725
118.740 * * [simplify]: Extracting #6: cost 197 inf + 99533
118.808 * * [simplify]: Extracting #7: cost 3 inf + 180579
118.865 * * [simplify]: Extracting #8: cost 0 inf + 173309
118.934 * * [simplify]: Extracting #9: cost 0 inf + 172989
119.018 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (+ phi2 phi1)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))
119.018 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (+ phi2 phi1)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))))
119.019 * * * * [progress]: [ 76 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
119.019 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
119.020 * * [simplify]: iters left: 6 (48 enodes)
119.040 * * [simplify]: iters left: 5 (238 enodes)
119.119 * * [simplify]: Extracting #0: cost 1 inf + 0
119.119 * * [simplify]: Extracting #1: cost 3 inf + 0
119.119 * * [simplify]: Extracting #2: cost 6 inf + 0
119.119 * * [simplify]: Extracting #3: cost 54 inf + 0
119.119 * * [simplify]: Extracting #4: cost 133 inf + 0
119.120 * * [simplify]: Extracting #5: cost 190 inf + 169
119.121 * * [simplify]: Extracting #6: cost 252 inf + 3121
119.123 * * [simplify]: Extracting #7: cost 222 inf + 13014
119.127 * * [simplify]: Extracting #8: cost 136 inf + 32781
119.137 * * [simplify]: Extracting #9: cost 53 inf + 61705
119.166 * * [simplify]: Extracting #10: cost 16 inf + 94776
119.195 * * [simplify]: Extracting #11: cost 0 inf + 109785
119.235 * * [simplify]: Extracting #12: cost 0 inf + 108585
119.280 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1)))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
119.280 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1)))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
119.282 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
119.282 * * [simplify]: iters left: 6 (25 enodes)
119.294 * * [simplify]: iters left: 5 (116 enodes)
119.342 * * [simplify]: iters left: 4 (358 enodes)
119.531 * * [simplify]: Extracting #0: cost 1 inf + 0
119.531 * * [simplify]: Extracting #1: cost 3 inf + 0
119.531 * * [simplify]: Extracting #2: cost 53 inf + 0
119.532 * * [simplify]: Extracting #3: cost 256 inf + 0
119.533 * * [simplify]: Extracting #4: cost 357 inf + 414
119.536 * * [simplify]: Extracting #5: cost 384 inf + 7663
119.554 * * [simplify]: Extracting #6: cost 196 inf + 87544
119.624 * * [simplify]: Extracting #7: cost 1 inf + 167949
119.672 * * [simplify]: Extracting #8: cost 0 inf + 159191
119.748 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
119.749 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1)))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))))
119.750 * * * * [progress]: [ 77 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
119.750 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
119.751 * * [simplify]: iters left: 6 (42 enodes)
119.773 * * [simplify]: iters left: 5 (203 enodes)
119.856 * * [simplify]: Extracting #0: cost 1 inf + 0
119.856 * * [simplify]: Extracting #1: cost 3 inf + 0
119.856 * * [simplify]: Extracting #2: cost 6 inf + 0
119.856 * * [simplify]: Extracting #3: cost 46 inf + 0
119.856 * * [simplify]: Extracting #4: cost 101 inf + 0
119.857 * * [simplify]: Extracting #5: cost 141 inf + 44
119.859 * * [simplify]: Extracting #6: cost 208 inf + 1675
119.861 * * [simplify]: Extracting #7: cost 210 inf + 3101
119.867 * * [simplify]: Extracting #8: cost 130 inf + 20883
119.882 * * [simplify]: Extracting #9: cost 70 inf + 40296
119.906 * * [simplify]: Extracting #10: cost 34 inf + 63140
119.940 * * [simplify]: Extracting #11: cost 3 inf + 88893
119.977 * * [simplify]: Extracting #12: cost 0 inf + 88924
120.015 * * [simplify]: Extracting #13: cost 0 inf + 88364
120.046 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
120.047 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
120.047 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))
120.047 * * [simplify]: iters left: 6 (20 enodes)
120.052 * * [simplify]: iters left: 5 (94 enodes)
120.071 * * [simplify]: iters left: 4 (288 enodes)
120.202 * * [simplify]: Extracting #0: cost 1 inf + 0
120.202 * * [simplify]: Extracting #1: cost 3 inf + 0
120.202 * * [simplify]: Extracting #2: cost 28 inf + 0
120.202 * * [simplify]: Extracting #3: cost 127 inf + 0
120.203 * * [simplify]: Extracting #4: cost 201 inf + 373
120.205 * * [simplify]: Extracting #5: cost 250 inf + 3984
120.211 * * [simplify]: Extracting #6: cost 152 inf + 32877
120.232 * * [simplify]: Extracting #7: cost 12 inf + 82979
120.256 * * [simplify]: Extracting #8: cost 0 inf + 82295
120.279 * * [simplify]: Extracting #9: cost 0 inf + 81655
120.313 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))
120.313 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))))
120.314 * * * * [progress]: [ 78 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
120.314 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
120.315 * * [simplify]: iters left: 6 (47 enodes)
120.339 * * [simplify]: iters left: 5 (231 enodes)
120.431 * * [simplify]: Extracting #0: cost 1 inf + 0
120.431 * * [simplify]: Extracting #1: cost 3 inf + 0
120.431 * * [simplify]: Extracting #2: cost 10 inf + 0
120.431 * * [simplify]: Extracting #3: cost 62 inf + 0
120.432 * * [simplify]: Extracting #4: cost 115 inf + 42
120.432 * * [simplify]: Extracting #5: cost 158 inf + 290
120.433 * * [simplify]: Extracting #6: cost 226 inf + 2768
120.435 * * [simplify]: Extracting #7: cost 217 inf + 7796
120.438 * * [simplify]: Extracting #8: cost 149 inf + 23535
120.447 * * [simplify]: Extracting #9: cost 60 inf + 55784
120.470 * * [simplify]: Extracting #10: cost 9 inf + 90527
120.509 * * [simplify]: Extracting #11: cost 0 inf + 98580
120.550 * * [simplify]: Extracting #12: cost 0 inf + 97700
120.572 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))
120.572 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
120.573 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
120.573 * * [simplify]: iters left: 6 (23 enodes)
120.578 * * [simplify]: iters left: 5 (107 enodes)
120.610 * * [simplify]: iters left: 4 (299 enodes)
120.750 * * [simplify]: Extracting #0: cost 1 inf + 0
120.750 * * [simplify]: Extracting #1: cost 3 inf + 0
120.750 * * [simplify]: Extracting #2: cost 27 inf + 0
120.750 * * [simplify]: Extracting #3: cost 108 inf + 0
120.751 * * [simplify]: Extracting #4: cost 199 inf + 85
120.752 * * [simplify]: Extracting #5: cost 268 inf + 618
120.759 * * [simplify]: Extracting #6: cost 195 inf + 26230
120.800 * * [simplify]: Extracting #7: cost 18 inf + 84204
120.835 * * [simplify]: Extracting #8: cost 0 inf + 86981
120.867 * * [simplify]: Extracting #9: cost 0 inf + 86421
120.891 * [simplify]: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
120.891 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))))
120.892 * * * * [progress]: [ 79 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
120.892 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
120.893 * * [simplify]: iters left: 6 (42 enodes)
120.909 * * [simplify]: iters left: 5 (204 enodes)
120.961 * * [simplify]: Extracting #0: cost 1 inf + 0
120.961 * * [simplify]: Extracting #1: cost 3 inf + 0
120.961 * * [simplify]: Extracting #2: cost 10 inf + 0
120.961 * * [simplify]: Extracting #3: cost 54 inf + 0
120.961 * * [simplify]: Extracting #4: cost 95 inf + 86
120.962 * * [simplify]: Extracting #5: cost 119 inf + 1675
120.963 * * [simplify]: Extracting #6: cost 195 inf + 2770
120.965 * * [simplify]: Extracting #7: cost 204 inf + 3182
120.968 * * [simplify]: Extracting #8: cost 168 inf + 7773
120.976 * * [simplify]: Extracting #9: cost 94 inf + 29047
120.989 * * [simplify]: Extracting #10: cost 23 inf + 66697
121.010 * * [simplify]: Extracting #11: cost 1 inf + 81914
121.044 * * [simplify]: Extracting #12: cost 0 inf + 83499
121.077 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ phi2 phi1) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))))
121.077 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ phi2 phi1) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
121.078 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
121.078 * * [simplify]: iters left: 6 (19 enodes)
121.086 * * [simplify]: iters left: 5 (89 enodes)
121.109 * * [simplify]: iters left: 4 (242 enodes)
121.186 * * [simplify]: Extracting #0: cost 1 inf + 0
121.186 * * [simplify]: Extracting #1: cost 3 inf + 0
121.186 * * [simplify]: Extracting #2: cost 17 inf + 0
121.186 * * [simplify]: Extracting #3: cost 49 inf + 0
121.187 * * [simplify]: Extracting #4: cost 109 inf + 44
121.188 * * [simplify]: Extracting #5: cost 184 inf + 86
121.195 * * [simplify]: Extracting #6: cost 117 inf + 16881
121.220 * * [simplify]: Extracting #7: cost 7 inf + 46249
121.233 * * [simplify]: Extracting #8: cost 0 inf + 45543
121.246 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
121.246 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))))
121.247 * * * * [progress]: [ 80 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
121.247 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
121.247 * * [simplify]: iters left: 6 (47 enodes)
121.262 * * [simplify]: iters left: 5 (231 enodes)
121.333 * * [simplify]: Extracting #0: cost 1 inf + 0
121.333 * * [simplify]: Extracting #1: cost 3 inf + 0
121.333 * * [simplify]: Extracting #2: cost 10 inf + 0
121.333 * * [simplify]: Extracting #3: cost 62 inf + 0
121.333 * * [simplify]: Extracting #4: cost 115 inf + 42
121.334 * * [simplify]: Extracting #5: cost 156 inf + 494
121.335 * * [simplify]: Extracting #6: cost 223 inf + 3333
121.336 * * [simplify]: Extracting #7: cost 216 inf + 8048
121.340 * * [simplify]: Extracting #8: cost 149 inf + 24107
121.349 * * [simplify]: Extracting #9: cost 58 inf + 56790
121.375 * * [simplify]: Extracting #10: cost 10 inf + 90243
121.399 * * [simplify]: Extracting #11: cost 0 inf + 99620
121.424 * * [simplify]: Extracting #12: cost 0 inf + 98580
121.445 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))
121.445 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
121.446 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
121.446 * * [simplify]: iters left: 6 (23 enodes)
121.451 * * [simplify]: iters left: 5 (107 enodes)
121.478 * * [simplify]: iters left: 4 (299 enodes)
121.672 * * [simplify]: Extracting #0: cost 1 inf + 0
121.672 * * [simplify]: Extracting #1: cost 3 inf + 0
121.672 * * [simplify]: Extracting #2: cost 27 inf + 0
121.673 * * [simplify]: Extracting #3: cost 108 inf + 0
121.674 * * [simplify]: Extracting #4: cost 199 inf + 85
121.676 * * [simplify]: Extracting #5: cost 268 inf + 618
121.686 * * [simplify]: Extracting #6: cost 195 inf + 26230
121.708 * * [simplify]: Extracting #7: cost 18 inf + 84204
121.747 * * [simplify]: Extracting #8: cost 0 inf + 86981
121.772 * * [simplify]: Extracting #9: cost 0 inf + 86421
121.812 * [simplify]: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
121.812 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))))
121.813 * * * * [progress]: [ 81 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
121.813 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
121.814 * * [simplify]: iters left: 6 (42 enodes)
121.824 * * [simplify]: iters left: 5 (204 enodes)
121.890 * * [simplify]: Extracting #0: cost 1 inf + 0
121.890 * * [simplify]: Extracting #1: cost 3 inf + 0
121.890 * * [simplify]: Extracting #2: cost 10 inf + 0
121.891 * * [simplify]: Extracting #3: cost 53 inf + 0
121.891 * * [simplify]: Extracting #4: cost 96 inf + 44
121.891 * * [simplify]: Extracting #5: cost 124 inf + 1104
121.892 * * [simplify]: Extracting #6: cost 194 inf + 2932
121.893 * * [simplify]: Extracting #7: cost 203 inf + 3264
121.897 * * [simplify]: Extracting #8: cost 167 inf + 7854
121.901 * * [simplify]: Extracting #9: cost 95 inf + 28502
121.915 * * [simplify]: Extracting #10: cost 22 inf + 68602
121.943 * * [simplify]: Extracting #11: cost 0 inf + 83819
121.977 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ phi2 phi1) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))))
121.977 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ phi2 phi1) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
121.978 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
121.978 * * [simplify]: iters left: 6 (19 enodes)
121.987 * * [simplify]: iters left: 5 (89 enodes)
122.008 * * [simplify]: iters left: 4 (242 enodes)
122.088 * * [simplify]: Extracting #0: cost 1 inf + 0
122.088 * * [simplify]: Extracting #1: cost 3 inf + 0
122.088 * * [simplify]: Extracting #2: cost 17 inf + 0
122.088 * * [simplify]: Extracting #3: cost 49 inf + 0
122.088 * * [simplify]: Extracting #4: cost 109 inf + 44
122.091 * * [simplify]: Extracting #5: cost 184 inf + 86
122.095 * * [simplify]: Extracting #6: cost 117 inf + 16881
122.107 * * [simplify]: Extracting #7: cost 7 inf + 46249
122.126 * * [simplify]: Extracting #8: cost 0 inf + 45543
122.151 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
122.151 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))))
122.152 * * * * [progress]: [ 82 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
122.153 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
122.154 * * [simplify]: iters left: 6 (47 enodes)
122.178 * * [simplify]: iters left: 5 (233 enodes)
122.279 * * [simplify]: Extracting #0: cost 1 inf + 0
122.279 * * [simplify]: Extracting #1: cost 3 inf + 0
122.279 * * [simplify]: Extracting #2: cost 6 inf + 0
122.279 * * [simplify]: Extracting #3: cost 54 inf + 0
122.280 * * [simplify]: Extracting #4: cost 120 inf + 0
122.281 * * [simplify]: Extracting #5: cost 191 inf + 0
122.282 * * [simplify]: Extracting #6: cost 273 inf + 845
122.283 * * [simplify]: Extracting #7: cost 241 inf + 9435
122.287 * * [simplify]: Extracting #8: cost 158 inf + 27905
122.295 * * [simplify]: Extracting #9: cost 88 inf + 49665
122.307 * * [simplify]: Extracting #10: cost 51 inf + 63775
122.327 * * [simplify]: Extracting #11: cost 35 inf + 76135
122.360 * * [simplify]: Extracting #12: cost 7 inf + 105835
122.394 * * [simplify]: Extracting #13: cost 0 inf + 115890
122.440 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))
122.440 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
122.442 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
122.442 * * [simplify]: iters left: 6 (24 enodes)
122.453 * * [simplify]: iters left: 5 (114 enodes)
122.501 * * [simplify]: iters left: 4 (371 enodes)
122.714 * * [simplify]: Extracting #0: cost 1 inf + 0
122.714 * * [simplify]: Extracting #1: cost 3 inf + 0
122.714 * * [simplify]: Extracting #2: cost 36 inf + 0
122.714 * * [simplify]: Extracting #3: cost 284 inf + 0
122.716 * * [simplify]: Extracting #4: cost 462 inf + 166
122.719 * * [simplify]: Extracting #5: cost 489 inf + 7700
122.749 * * [simplify]: Extracting #6: cost 203 inf + 124910
122.827 * * [simplify]: Extracting #7: cost 1 inf + 215667
122.898 * * [simplify]: Extracting #8: cost 0 inf + 205229
122.973 * * [simplify]: Extracting #9: cost 0 inf + 205149
123.060 * * [simplify]: Extracting #10: cost 0 inf + 205069
123.125 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))
123.125 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))))
123.126 * * * * [progress]: [ 83 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
123.126 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
123.127 * * [simplify]: iters left: 6 (48 enodes)
123.153 * * [simplify]: iters left: 5 (242 enodes)
123.236 * * [simplify]: Extracting #0: cost 1 inf + 0
123.236 * * [simplify]: Extracting #1: cost 3 inf + 0
123.236 * * [simplify]: Extracting #2: cost 6 inf + 0
123.236 * * [simplify]: Extracting #3: cost 58 inf + 0
123.237 * * [simplify]: Extracting #4: cost 143 inf + 0
123.238 * * [simplify]: Extracting #5: cost 201 inf + 290
123.241 * * [simplify]: Extracting #6: cost 243 inf + 6378
123.246 * * [simplify]: Extracting #7: cost 227 inf + 13532
123.249 * * [simplify]: Extracting #8: cost 184 inf + 18975
123.255 * * [simplify]: Extracting #9: cost 120 inf + 33813
123.264 * * [simplify]: Extracting #10: cost 67 inf + 56056
123.285 * * [simplify]: Extracting #11: cost 32 inf + 85016
123.326 * * [simplify]: Extracting #12: cost 2 inf + 114457
123.352 * * [simplify]: Extracting #13: cost 0 inf + 116587
123.381 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))))))
123.381 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
123.382 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
123.382 * * [simplify]: iters left: 6 (25 enodes)
123.388 * * [simplify]: iters left: 5 (118 enodes)
123.419 * * [simplify]: iters left: 4 (368 enodes)
123.619 * * [simplify]: Extracting #0: cost 1 inf + 0
123.619 * * [simplify]: Extracting #1: cost 3 inf + 0
123.620 * * [simplify]: Extracting #2: cost 62 inf + 0
123.621 * * [simplify]: Extracting #3: cost 297 inf + 0
123.624 * * [simplify]: Extracting #4: cost 398 inf + 1221
123.630 * * [simplify]: Extracting #5: cost 426 inf + 8827
123.667 * * [simplify]: Extracting #6: cost 186 inf + 119132
123.722 * * [simplify]: Extracting #7: cost 5 inf + 192421
123.806 * * [simplify]: Extracting #8: cost 0 inf + 184799
123.873 * * [simplify]: Extracting #9: cost 0 inf + 184519
123.954 * [simplify]: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))))
123.954 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))))))
123.955 * * * * [progress]: [ 84 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
123.955 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
123.955 * * [simplify]: iters left: 6 (48 enodes)
123.969 * * [simplify]: iters left: 5 (242 enodes)
124.069 * * [simplify]: Extracting #0: cost 1 inf + 0
124.069 * * [simplify]: Extracting #1: cost 3 inf + 0
124.069 * * [simplify]: Extracting #2: cost 6 inf + 0
124.069 * * [simplify]: Extracting #3: cost 60 inf + 0
124.070 * * [simplify]: Extracting #4: cost 141 inf + 0
124.071 * * [simplify]: Extracting #5: cost 199 inf + 127
124.073 * * [simplify]: Extracting #6: cost 264 inf + 2463
124.075 * * [simplify]: Extracting #7: cost 231 inf + 12669
124.084 * * [simplify]: Extracting #8: cost 143 inf + 31580
124.093 * * [simplify]: Extracting #9: cost 70 inf + 55962
124.112 * * [simplify]: Extracting #10: cost 41 inf + 76324
124.151 * * [simplify]: Extracting #11: cost 9 inf + 106674
124.185 * * [simplify]: Extracting #12: cost 0 inf + 115539
124.218 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
124.219 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
124.220 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
124.222 * * [simplify]: iters left: 6 (25 enodes)
124.234 * * [simplify]: iters left: 5 (118 enodes)
124.257 * * [simplify]: iters left: 4 (366 enodes)
124.515 * * [simplify]: Extracting #0: cost 1 inf + 0
124.515 * * [simplify]: Extracting #1: cost 3 inf + 0
124.515 * * [simplify]: Extracting #2: cost 56 inf + 0
124.516 * * [simplify]: Extracting #3: cost 281 inf + 0
124.519 * * [simplify]: Extracting #4: cost 378 inf + 575
124.528 * * [simplify]: Extracting #5: cost 402 inf + 7831
124.540 * * [simplify]: Extracting #6: cost 328 inf + 25450
124.567 * * [simplify]: Extracting #7: cost 121 inf + 103328
124.633 * * [simplify]: Extracting #8: cost 5 inf + 168257
124.712 * * [simplify]: Extracting #9: cost 0 inf + 170717
124.772 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))
124.772 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))))))
124.774 * * * * [progress]: [ 85 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
124.774 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
124.775 * * [simplify]: iters left: 6 (42 enodes)
124.796 * * [simplify]: iters left: 5 (206 enodes)
124.857 * * [simplify]: Extracting #0: cost 1 inf + 0
124.857 * * [simplify]: Extracting #1: cost 3 inf + 0
124.857 * * [simplify]: Extracting #2: cost 6 inf + 0
124.857 * * [simplify]: Extracting #3: cost 52 inf + 0
124.857 * * [simplify]: Extracting #4: cost 109 inf + 0
124.858 * * [simplify]: Extracting #5: cost 149 inf + 44
124.860 * * [simplify]: Extracting #6: cost 219 inf + 1111
124.862 * * [simplify]: Extracting #7: cost 217 inf + 3022
124.866 * * [simplify]: Extracting #8: cost 168 inf + 10039
124.875 * * [simplify]: Extracting #9: cost 108 inf + 25927
124.893 * * [simplify]: Extracting #10: cost 46 inf + 54595
124.918 * * [simplify]: Extracting #11: cost 23 inf + 70583
124.955 * * [simplify]: Extracting #12: cost 1 inf + 92573
124.996 * * [simplify]: Extracting #13: cost 0 inf + 94198
125.035 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
125.035 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
125.037 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))
125.037 * * [simplify]: iters left: 6 (20 enodes)
125.042 * * [simplify]: iters left: 5 (96 enodes)
125.062 * * [simplify]: iters left: 4 (296 enodes)
125.197 * * [simplify]: Extracting #0: cost 1 inf + 0
125.198 * * [simplify]: Extracting #1: cost 3 inf + 0
125.198 * * [simplify]: Extracting #2: cost 29 inf + 0
125.198 * * [simplify]: Extracting #3: cost 132 inf + 0
125.199 * * [simplify]: Extracting #4: cost 202 inf + 210
125.200 * * [simplify]: Extracting #5: cost 248 inf + 3904
125.206 * * [simplify]: Extracting #6: cost 164 inf + 30442
125.235 * * [simplify]: Extracting #7: cost 20 inf + 81280
125.259 * * [simplify]: Extracting #8: cost 0 inf + 82049
125.302 * * [simplify]: Extracting #9: cost 0 inf + 81329
125.324 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (+ phi1 phi2)))))
125.324 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (+ phi1 phi2))))))))
125.325 * * * * [progress]: [ 86 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
125.325 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
125.325 * * [simplify]: iters left: 6 (47 enodes)
125.345 * * [simplify]: iters left: 5 (234 enodes)
125.446 * * [simplify]: Extracting #0: cost 1 inf + 0
125.446 * * [simplify]: Extracting #1: cost 3 inf + 0
125.446 * * [simplify]: Extracting #2: cost 10 inf + 0
125.447 * * [simplify]: Extracting #3: cost 72 inf + 0
125.447 * * [simplify]: Extracting #4: cost 126 inf + 42
125.448 * * [simplify]: Extracting #5: cost 169 inf + 290
125.450 * * [simplify]: Extracting #6: cost 238 inf + 2526
125.453 * * [simplify]: Extracting #7: cost 227 inf + 7506
125.462 * * [simplify]: Extracting #8: cost 142 inf + 29707
125.478 * * [simplify]: Extracting #9: cost 88 inf + 44768
125.502 * * [simplify]: Extracting #10: cost 43 inf + 67934
125.536 * * [simplify]: Extracting #11: cost 8 inf + 96369
125.578 * * [simplify]: Extracting #12: cost 0 inf + 106449
125.607 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))
125.607 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
125.608 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
125.608 * * [simplify]: iters left: 6 (23 enodes)
125.613 * * [simplify]: iters left: 5 (109 enodes)
125.650 * * [simplify]: iters left: 4 (313 enodes)
125.811 * * [simplify]: Extracting #0: cost 1 inf + 0
125.811 * * [simplify]: Extracting #1: cost 3 inf + 0
125.811 * * [simplify]: Extracting #2: cost 28 inf + 0
125.812 * * [simplify]: Extracting #3: cost 107 inf + 0
125.813 * * [simplify]: Extracting #4: cost 203 inf + 126
125.815 * * [simplify]: Extracting #5: cost 272 inf + 780
125.828 * * [simplify]: Extracting #6: cost 188 inf + 33148
125.871 * * [simplify]: Extracting #7: cost 11 inf + 91292
125.900 * * [simplify]: Extracting #8: cost 0 inf + 89321
125.934 * * [simplify]: Extracting #9: cost 0 inf + 88801
125.961 * * [simplify]: Extracting #10: cost 0 inf + 88761
126.009 * [simplify]: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))
126.009 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))))
126.010 * * * * [progress]: [ 87 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
126.011 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
126.011 * * [simplify]: iters left: 6 (42 enodes)
126.032 * * [simplify]: iters left: 5 (206 enodes)
126.081 * * [simplify]: Extracting #0: cost 1 inf + 0
126.082 * * [simplify]: Extracting #1: cost 3 inf + 0
126.082 * * [simplify]: Extracting #2: cost 10 inf + 0
126.082 * * [simplify]: Extracting #3: cost 64 inf + 0
126.082 * * [simplify]: Extracting #4: cost 106 inf + 86
126.083 * * [simplify]: Extracting #5: cost 133 inf + 1188
126.085 * * [simplify]: Extracting #6: cost 205 inf + 2932
126.087 * * [simplify]: Extracting #7: cost 216 inf + 3139
126.094 * * [simplify]: Extracting #8: cost 154 inf + 18551
126.113 * * [simplify]: Extracting #9: cost 63 inf + 55788
126.136 * * [simplify]: Extracting #10: cost 36 inf + 66559
126.166 * * [simplify]: Extracting #11: cost 5 inf + 86148
126.186 * * [simplify]: Extracting #12: cost 0 inf + 91088
126.217 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1)))))
126.217 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
126.218 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))
126.219 * * [simplify]: iters left: 6 (19 enodes)
126.227 * * [simplify]: iters left: 5 (91 enodes)
126.244 * * [simplify]: iters left: 4 (256 enodes)
126.349 * * [simplify]: Extracting #0: cost 1 inf + 0
126.349 * * [simplify]: Extracting #1: cost 3 inf + 0
126.349 * * [simplify]: Extracting #2: cost 18 inf + 0
126.349 * * [simplify]: Extracting #3: cost 44 inf + 0
126.349 * * [simplify]: Extracting #4: cost 107 inf + 86
126.350 * * [simplify]: Extracting #5: cost 184 inf + 86
126.353 * * [simplify]: Extracting #6: cost 118 inf + 15470
126.364 * * [simplify]: Extracting #7: cost 11 inf + 44993
126.378 * * [simplify]: Extracting #8: cost 0 inf + 45703
126.407 * * [simplify]: Extracting #9: cost 0 inf + 45263
126.432 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (+ phi1 phi2)))
126.432 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (+ phi1 phi2))))))
126.433 * * * * [progress]: [ 88 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
126.433 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
126.434 * * [simplify]: iters left: 6 (47 enodes)
126.459 * * [simplify]: iters left: 5 (234 enodes)
126.559 * * [simplify]: Extracting #0: cost 1 inf + 0
126.559 * * [simplify]: Extracting #1: cost 3 inf + 0
126.559 * * [simplify]: Extracting #2: cost 10 inf + 0
126.559 * * [simplify]: Extracting #3: cost 72 inf + 0
126.559 * * [simplify]: Extracting #4: cost 126 inf + 42
126.560 * * [simplify]: Extracting #5: cost 168 inf + 332
126.561 * * [simplify]: Extracting #6: cost 236 inf + 3051
126.563 * * [simplify]: Extracting #7: cost 226 inf + 7678
126.567 * * [simplify]: Extracting #8: cost 140 inf + 30662
126.575 * * [simplify]: Extracting #9: cost 82 inf + 49011
126.587 * * [simplify]: Extracting #10: cost 43 inf + 67774
126.617 * * [simplify]: Extracting #11: cost 8 inf + 97329
126.660 * * [simplify]: Extracting #12: cost 0 inf + 107409
126.707 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))
126.707 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
126.709 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
126.709 * * [simplify]: iters left: 6 (23 enodes)
126.720 * * [simplify]: iters left: 5 (109 enodes)
126.747 * * [simplify]: iters left: 4 (313 enodes)
126.936 * * [simplify]: Extracting #0: cost 1 inf + 0
126.936 * * [simplify]: Extracting #1: cost 3 inf + 0
126.936 * * [simplify]: Extracting #2: cost 28 inf + 0
126.936 * * [simplify]: Extracting #3: cost 107 inf + 0
126.937 * * [simplify]: Extracting #4: cost 203 inf + 126
126.938 * * [simplify]: Extracting #5: cost 272 inf + 780
126.944 * * [simplify]: Extracting #6: cost 188 inf + 33148
126.967 * * [simplify]: Extracting #7: cost 11 inf + 91292
127.013 * * [simplify]: Extracting #8: cost 0 inf + 89321
127.049 * * [simplify]: Extracting #9: cost 0 inf + 88801
127.087 * * [simplify]: Extracting #10: cost 0 inf + 88761
127.135 * [simplify]: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))
127.136 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))))
127.137 * * * * [progress]: [ 89 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
127.137 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
127.138 * * [simplify]: iters left: 6 (42 enodes)
127.159 * * [simplify]: iters left: 5 (206 enodes)
127.242 * * [simplify]: Extracting #0: cost 1 inf + 0
127.242 * * [simplify]: Extracting #1: cost 3 inf + 0
127.242 * * [simplify]: Extracting #2: cost 10 inf + 0
127.242 * * [simplify]: Extracting #3: cost 63 inf + 0
127.243 * * [simplify]: Extracting #4: cost 107 inf + 44
127.244 * * [simplify]: Extracting #5: cost 135 inf + 1024
127.246 * * [simplify]: Extracting #6: cost 205 inf + 3012
127.248 * * [simplify]: Extracting #7: cost 216 inf + 3139
127.254 * * [simplify]: Extracting #8: cost 156 inf + 18308
127.275 * * [simplify]: Extracting #9: cost 63 inf + 55788
127.301 * * [simplify]: Extracting #10: cost 35 inf + 66851
127.334 * * [simplify]: Extracting #11: cost 6 inf + 86104
127.371 * * [simplify]: Extracting #12: cost 0 inf + 91488
127.411 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1)))))
127.411 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
127.412 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))
127.413 * * [simplify]: iters left: 6 (19 enodes)
127.422 * * [simplify]: iters left: 5 (91 enodes)
127.456 * * [simplify]: iters left: 4 (256 enodes)
127.564 * * [simplify]: Extracting #0: cost 1 inf + 0
127.565 * * [simplify]: Extracting #1: cost 3 inf + 0
127.565 * * [simplify]: Extracting #2: cost 18 inf + 0
127.565 * * [simplify]: Extracting #3: cost 44 inf + 0
127.565 * * [simplify]: Extracting #4: cost 107 inf + 86
127.566 * * [simplify]: Extracting #5: cost 184 inf + 86
127.572 * * [simplify]: Extracting #6: cost 118 inf + 15470
127.594 * * [simplify]: Extracting #7: cost 11 inf + 44993
127.620 * * [simplify]: Extracting #8: cost 0 inf + 45703
127.637 * * [simplify]: Extracting #9: cost 0 inf + 45263
127.651 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (+ phi1 phi2)))
127.652 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (+ phi1 phi2))))))
127.652 * * * * [progress]: [ 90 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
127.653 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
127.653 * * [simplify]: iters left: 6 (51 enodes)
127.679 * * [simplify]: iters left: 5 (252 enodes)
127.787 * * [simplify]: Extracting #0: cost 1 inf + 0
127.787 * * [simplify]: Extracting #1: cost 3 inf + 0
127.787 * * [simplify]: Extracting #2: cost 6 inf + 0
127.787 * * [simplify]: Extracting #3: cost 56 inf + 0
127.787 * * [simplify]: Extracting #4: cost 125 inf + 0
127.788 * * [simplify]: Extracting #5: cost 194 inf + 0
127.789 * * [simplify]: Extracting #6: cost 288 inf + 763
127.791 * * [simplify]: Extracting #7: cost 237 inf + 12000
127.795 * * [simplify]: Extracting #8: cost 150 inf + 28505
127.804 * * [simplify]: Extracting #9: cost 86 inf + 50845
127.824 * * [simplify]: Extracting #10: cost 34 inf + 87876
127.870 * * [simplify]: Extracting #11: cost 4 inf + 116276
127.922 * * [simplify]: Extracting #12: cost 1 inf + 119751
127.971 * * [simplify]: Extracting #13: cost 0 inf + 121576
128.019 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))
128.020 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
128.021 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
128.022 * * [simplify]: iters left: 6 (26 enodes)
128.030 * * [simplify]: iters left: 5 (125 enodes)
128.057 * * [simplify]: iters left: 4 (403 enodes)
128.299 * * [simplify]: Extracting #0: cost 1 inf + 0
128.299 * * [simplify]: Extracting #1: cost 3 inf + 0
128.299 * * [simplify]: Extracting #2: cost 42 inf + 0
128.300 * * [simplify]: Extracting #3: cost 289 inf + 0
128.307 * * [simplify]: Extracting #4: cost 477 inf + 44
128.312 * * [simplify]: Extracting #5: cost 526 inf + 4512
128.335 * * [simplify]: Extracting #6: cost 249 inf + 115801
128.408 * * [simplify]: Extracting #7: cost 8 inf + 220534
128.494 * * [simplify]: Extracting #8: cost 0 inf + 210560
128.564 * * [simplify]: Extracting #9: cost 0 inf + 209760
128.632 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))
128.632 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))))))))
128.633 * * * * [progress]: [ 91 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
128.633 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
128.634 * * [simplify]: iters left: 6 (52 enodes)
128.661 * * [simplify]: iters left: 5 (261 enodes)
128.742 * * [simplify]: Extracting #0: cost 1 inf + 0
128.743 * * [simplify]: Extracting #1: cost 3 inf + 0
128.743 * * [simplify]: Extracting #2: cost 6 inf + 0
128.743 * * [simplify]: Extracting #3: cost 60 inf + 0
128.743 * * [simplify]: Extracting #4: cost 148 inf + 0
128.744 * * [simplify]: Extracting #5: cost 206 inf + 126
128.747 * * [simplify]: Extracting #6: cost 264 inf + 4644
128.751 * * [simplify]: Extracting #7: cost 246 inf + 11320
128.759 * * [simplify]: Extracting #8: cost 172 inf + 24961
128.770 * * [simplify]: Extracting #9: cost 119 inf + 38810
128.782 * * [simplify]: Extracting #10: cost 64 inf + 66817
128.811 * * [simplify]: Extracting #11: cost 10 inf + 113583
128.858 * * [simplify]: Extracting #12: cost 1 inf + 121408
128.907 * * [simplify]: Extracting #13: cost 0 inf + 123273
128.957 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))
128.957 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
128.958 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
128.958 * * [simplify]: iters left: 6 (27 enodes)
128.971 * * [simplify]: iters left: 5 (129 enodes)
129.009 * * [simplify]: iters left: 4 (401 enodes)
129.304 * * [simplify]: Extracting #0: cost 1 inf + 0
129.305 * * [simplify]: Extracting #1: cost 3 inf + 0
129.305 * * [simplify]: Extracting #2: cost 63 inf + 0
129.305 * * [simplify]: Extracting #3: cost 283 inf + 0
129.307 * * [simplify]: Extracting #4: cost 415 inf + 86
129.309 * * [simplify]: Extracting #5: cost 471 inf + 3096
129.338 * * [simplify]: Extracting #6: cost 225 inf + 101366
129.404 * * [simplify]: Extracting #7: cost 10 inf + 195361
129.505 * * [simplify]: Extracting #8: cost 0 inf + 189357
129.600 * * [simplify]: Extracting #9: cost 0 inf + 188637
129.697 * [simplify]: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))
129.698 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (sqrt (* (* (+ phi2 phi1) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))))))
129.699 * * * * [progress]: [ 92 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
129.699 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
129.700 * * [simplify]: iters left: 6 (52 enodes)
129.721 * * [simplify]: iters left: 5 (261 enodes)
129.799 * * [simplify]: Extracting #0: cost 1 inf + 0
129.799 * * [simplify]: Extracting #1: cost 3 inf + 0
129.799 * * [simplify]: Extracting #2: cost 6 inf + 0
129.799 * * [simplify]: Extracting #3: cost 62 inf + 0
129.799 * * [simplify]: Extracting #4: cost 146 inf + 0
129.800 * * [simplify]: Extracting #5: cost 204 inf + 44
129.801 * * [simplify]: Extracting #6: cost 277 inf + 2673
129.804 * * [simplify]: Extracting #7: cost 248 inf + 11114
129.811 * * [simplify]: Extracting #8: cost 186 inf + 21937
129.823 * * [simplify]: Extracting #9: cost 125 inf + 37107
129.853 * * [simplify]: Extracting #10: cost 38 inf + 89294
129.899 * * [simplify]: Extracting #11: cost 3 inf + 115390
129.925 * * [simplify]: Extracting #12: cost 0 inf + 120945
129.953 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))
129.953 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
129.954 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
129.954 * * [simplify]: iters left: 6 (27 enodes)
129.960 * * [simplify]: iters left: 5 (129 enodes)
130.001 * * [simplify]: iters left: 4 (399 enodes)
130.208 * * [simplify]: Extracting #0: cost 1 inf + 0
130.208 * * [simplify]: Extracting #1: cost 3 inf + 0
130.208 * * [simplify]: Extracting #2: cost 56 inf + 0
130.208 * * [simplify]: Extracting #3: cost 269 inf + 0
130.210 * * [simplify]: Extracting #4: cost 377 inf + 696
130.215 * * [simplify]: Extracting #5: cost 419 inf + 6260
130.231 * * [simplify]: Extracting #6: cost 233 inf + 80438
130.275 * * [simplify]: Extracting #7: cost 9 inf + 178096
130.333 * * [simplify]: Extracting #8: cost 0 inf + 170244
130.391 * * [simplify]: Extracting #9: cost 0 inf + 169844
130.477 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))))
130.477 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))))))
130.477 * * * * [progress]: [ 93 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
130.478 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
130.478 * * [simplify]: iters left: 6 (46 enodes)
130.491 * * [simplify]: iters left: 5 (225 enodes)
130.559 * * [simplify]: Extracting #0: cost 1 inf + 0
130.559 * * [simplify]: Extracting #1: cost 3 inf + 0
130.559 * * [simplify]: Extracting #2: cost 6 inf + 0
130.559 * * [simplify]: Extracting #3: cost 54 inf + 0
130.559 * * [simplify]: Extracting #4: cost 113 inf + 0
130.560 * * [simplify]: Extracting #5: cost 150 inf + 126
130.560 * * [simplify]: Extracting #6: cost 232 inf + 990
130.562 * * [simplify]: Extracting #7: cost 236 inf + 2051
130.564 * * [simplify]: Extracting #8: cost 160 inf + 15511
130.571 * * [simplify]: Extracting #9: cost 86 inf + 39467
130.584 * * [simplify]: Extracting #10: cost 42 inf + 61528
130.614 * * [simplify]: Extracting #11: cost 1 inf + 94337
130.635 * * [simplify]: Extracting #12: cost 0 inf + 95122
130.656 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))
130.656 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
130.657 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))
130.657 * * [simplify]: iters left: 6 (22 enodes)
130.666 * * [simplify]: iters left: 5 (107 enodes)
130.698 * * [simplify]: iters left: 4 (328 enodes)
130.849 * * [simplify]: Extracting #0: cost 1 inf + 0
130.849 * * [simplify]: Extracting #1: cost 3 inf + 0
130.849 * * [simplify]: Extracting #2: cost 31 inf + 0
130.849 * * [simplify]: Extracting #3: cost 146 inf + 0
130.850 * * [simplify]: Extracting #4: cost 223 inf + 169
130.851 * * [simplify]: Extracting #5: cost 293 inf + 2403
130.858 * * [simplify]: Extracting #6: cost 191 inf + 32340
130.882 * * [simplify]: Extracting #7: cost 16 inf + 94059
130.907 * * [simplify]: Extracting #8: cost 0 inf + 92303
130.945 * * [simplify]: Extracting #9: cost 0 inf + 91263
130.976 * * [simplify]: Extracting #10: cost 0 inf + 91223
131.006 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))
131.006 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))))
131.006 * * * * [progress]: [ 94 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
131.007 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
131.007 * * [simplify]: iters left: 6 (51 enodes)
131.020 * * [simplify]: iters left: 5 (253 enodes)
131.107 * * [simplify]: Extracting #0: cost 1 inf + 0
131.107 * * [simplify]: Extracting #1: cost 3 inf + 0
131.107 * * [simplify]: Extracting #2: cost 10 inf + 0
131.107 * * [simplify]: Extracting #3: cost 71 inf + 0
131.108 * * [simplify]: Extracting #4: cost 133 inf + 42
131.108 * * [simplify]: Extracting #5: cost 175 inf + 249
131.109 * * [simplify]: Extracting #6: cost 255 inf + 2003
131.112 * * [simplify]: Extracting #7: cost 244 inf + 7206
131.118 * * [simplify]: Extracting #8: cost 172 inf + 20224
131.131 * * [simplify]: Extracting #9: cost 98 inf + 43524
131.154 * * [simplify]: Extracting #10: cost 52 inf + 66628
131.189 * * [simplify]: Extracting #11: cost 24 inf + 90968
131.233 * * [simplify]: Extracting #12: cost 1 inf + 114703
131.282 * * [simplify]: Extracting #13: cost 0 inf + 116488
131.321 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))
131.321 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
131.322 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
131.322 * * [simplify]: iters left: 6 (25 enodes)
131.328 * * [simplify]: iters left: 5 (120 enodes)
131.358 * * [simplify]: iters left: 4 (345 enodes)
131.536 * * [simplify]: Extracting #0: cost 1 inf + 0
131.536 * * [simplify]: Extracting #1: cost 3 inf + 0
131.536 * * [simplify]: Extracting #2: cost 33 inf + 0
131.536 * * [simplify]: Extracting #3: cost 138 inf + 0
131.537 * * [simplify]: Extracting #4: cost 242 inf + 85
131.539 * * [simplify]: Extracting #5: cost 320 inf + 697
131.551 * * [simplify]: Extracting #6: cost 226 inf + 31744
131.590 * * [simplify]: Extracting #7: cost 24 inf + 107477
131.639 * * [simplify]: Extracting #8: cost 0 inf + 107184
131.696 * * [simplify]: Extracting #9: cost 0 inf + 105104
131.751 * * [simplify]: Extracting #10: cost 0 inf + 105064
131.807 * [simplify]: Simplified to (sqrt (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))))
131.807 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))))))
131.808 * * * * [progress]: [ 95 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
131.809 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
131.810 * * [simplify]: iters left: 6 (46 enodes)
131.834 * * [simplify]: iters left: 5 (225 enodes)
131.888 * * [simplify]: Extracting #0: cost 1 inf + 0
131.888 * * [simplify]: Extracting #1: cost 3 inf + 0
131.888 * * [simplify]: Extracting #2: cost 10 inf + 0
131.888 * * [simplify]: Extracting #3: cost 64 inf + 0
131.888 * * [simplify]: Extracting #4: cost 116 inf + 44
131.889 * * [simplify]: Extracting #5: cost 144 inf + 740
131.890 * * [simplify]: Extracting #6: cost 224 inf + 2770
131.891 * * [simplify]: Extracting #7: cost 230 inf + 3587
131.895 * * [simplify]: Extracting #8: cost 147 inf + 23539
131.904 * * [simplify]: Extracting #9: cost 62 inf + 55642
131.927 * * [simplify]: Extracting #10: cost 24 inf + 76127
131.949 * * [simplify]: Extracting #11: cost 1 inf + 99449
131.981 * * [simplify]: Extracting #12: cost 0 inf + 101114
132.027 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (+ (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* lambda1 lambda1)) (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (+ (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* lambda1 lambda1)) (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))))))
132.027 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (+ (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* lambda1 lambda1)) (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (+ (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* lambda1 lambda1)) (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
132.028 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
132.029 * * [simplify]: iters left: 6 (21 enodes)
132.034 * * [simplify]: iters left: 5 (102 enodes)
132.054 * * [simplify]: iters left: 4 (288 enodes)
132.157 * * [simplify]: Extracting #0: cost 1 inf + 0
132.157 * * [simplify]: Extracting #1: cost 3 inf + 0
132.157 * * [simplify]: Extracting #2: cost 22 inf + 0
132.157 * * [simplify]: Extracting #3: cost 68 inf + 0
132.157 * * [simplify]: Extracting #4: cost 138 inf + 2
132.158 * * [simplify]: Extracting #5: cost 217 inf + 44
132.161 * * [simplify]: Extracting #6: cost 161 inf + 14657
132.191 * * [simplify]: Extracting #7: cost 12 inf + 58724
132.215 * * [simplify]: Extracting #8: cost 0 inf + 57753
132.231 * * [simplify]: Extracting #9: cost 0 inf + 57113
132.255 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ phi2 phi1))))
132.255 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ phi2 phi1)))))))
132.256 * * * * [progress]: [ 96 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
132.257 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
132.257 * * [simplify]: iters left: 6 (51 enodes)
132.276 * * [simplify]: iters left: 5 (253 enodes)
132.334 * * [simplify]: Extracting #0: cost 1 inf + 0
132.334 * * [simplify]: Extracting #1: cost 3 inf + 0
132.334 * * [simplify]: Extracting #2: cost 10 inf + 0
132.334 * * [simplify]: Extracting #3: cost 71 inf + 0
132.335 * * [simplify]: Extracting #4: cost 133 inf + 42
132.335 * * [simplify]: Extracting #5: cost 175 inf + 248
132.336 * * [simplify]: Extracting #6: cost 250 inf + 3293
132.338 * * [simplify]: Extracting #7: cost 241 inf + 7379
132.341 * * [simplify]: Extracting #8: cost 171 inf + 20304
132.354 * * [simplify]: Extracting #9: cost 101 inf + 42551
132.376 * * [simplify]: Extracting #10: cost 52 inf + 67588
132.411 * * [simplify]: Extracting #11: cost 24 inf + 91928
132.453 * * [simplify]: Extracting #12: cost 1 inf + 115663
132.499 * * [simplify]: Extracting #13: cost 0 inf + 117448
132.536 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))
132.536 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
132.537 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
132.537 * * [simplify]: iters left: 6 (25 enodes)
132.543 * * [simplify]: iters left: 5 (120 enodes)
132.567 * * [simplify]: iters left: 4 (345 enodes)
132.758 * * [simplify]: Extracting #0: cost 1 inf + 0
132.758 * * [simplify]: Extracting #1: cost 3 inf + 0
132.759 * * [simplify]: Extracting #2: cost 33 inf + 0
132.760 * * [simplify]: Extracting #3: cost 138 inf + 0
132.760 * * [simplify]: Extracting #4: cost 242 inf + 85
132.762 * * [simplify]: Extracting #5: cost 320 inf + 697
132.768 * * [simplify]: Extracting #6: cost 226 inf + 31744
132.806 * * [simplify]: Extracting #7: cost 24 inf + 107477
132.843 * * [simplify]: Extracting #8: cost 0 inf + 107184
132.901 * * [simplify]: Extracting #9: cost 0 inf + 105104
132.949 * * [simplify]: Extracting #10: cost 0 inf + 105064
132.980 * [simplify]: Simplified to (sqrt (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))))
132.980 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))))))
132.981 * * * * [progress]: [ 97 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
132.981 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
132.982 * * [simplify]: iters left: 6 (46 enodes)
132.995 * * [simplify]: iters left: 5 (225 enodes)
133.054 * * [simplify]: Extracting #0: cost 1 inf + 0
133.054 * * [simplify]: Extracting #1: cost 3 inf + 0
133.054 * * [simplify]: Extracting #2: cost 10 inf + 0
133.054 * * [simplify]: Extracting #3: cost 63 inf + 0
133.054 * * [simplify]: Extracting #4: cost 116 inf + 44
133.055 * * [simplify]: Extracting #5: cost 143 inf + 782
133.056 * * [simplify]: Extracting #6: cost 223 inf + 2932
133.057 * * [simplify]: Extracting #7: cost 231 inf + 3425
133.060 * * [simplify]: Extracting #8: cost 152 inf + 21335
133.078 * * [simplify]: Extracting #9: cost 62 inf + 55823
133.105 * * [simplify]: Extracting #10: cost 24 inf + 76569
133.144 * * [simplify]: Extracting #11: cost 3 inf + 94639
133.171 * * [simplify]: Extracting #12: cost 0 inf + 99354
133.200 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))
133.201 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
133.202 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
133.202 * * [simplify]: iters left: 6 (21 enodes)
133.212 * * [simplify]: iters left: 5 (102 enodes)
133.245 * * [simplify]: iters left: 4 (288 enodes)
133.368 * * [simplify]: Extracting #0: cost 1 inf + 0
133.368 * * [simplify]: Extracting #1: cost 3 inf + 0
133.368 * * [simplify]: Extracting #2: cost 22 inf + 0
133.368 * * [simplify]: Extracting #3: cost 68 inf + 0
133.369 * * [simplify]: Extracting #4: cost 138 inf + 2
133.371 * * [simplify]: Extracting #5: cost 217 inf + 44
133.377 * * [simplify]: Extracting #6: cost 161 inf + 14657
133.404 * * [simplify]: Extracting #7: cost 12 inf + 58724
133.435 * * [simplify]: Extracting #8: cost 0 inf + 57753
133.459 * * [simplify]: Extracting #9: cost 0 inf + 57113
133.475 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ phi2 phi1))))
133.475 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ phi2 phi1)))))))
133.477 * * * * [progress]: [ 98 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
133.478 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
133.478 * * [simplify]: iters left: 6 (51 enodes)
133.492 * * [simplify]: iters left: 5 (256 enodes)
133.591 * * [simplify]: Extracting #0: cost 1 inf + 0
133.591 * * [simplify]: Extracting #1: cost 3 inf + 0
133.592 * * [simplify]: Extracting #2: cost 6 inf + 0
133.592 * * [simplify]: Extracting #3: cost 56 inf + 0
133.592 * * [simplify]: Extracting #4: cost 130 inf + 0
133.592 * * [simplify]: Extracting #5: cost 213 inf + 0
133.593 * * [simplify]: Extracting #6: cost 309 inf + 763
133.595 * * [simplify]: Extracting #7: cost 261 inf + 11142
133.600 * * [simplify]: Extracting #8: cost 145 inf + 39279
133.619 * * [simplify]: Extracting #9: cost 59 inf + 70162
133.644 * * [simplify]: Extracting #10: cost 12 inf + 113702
133.681 * * [simplify]: Extracting #11: cost 1 inf + 129017
133.709 * * [simplify]: Extracting #12: cost 0 inf + 131082
133.761 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))
133.761 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
133.763 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
133.763 * * [simplify]: iters left: 6 (26 enodes)
133.776 * * [simplify]: iters left: 5 (126 enodes)
133.813 * * [simplify]: iters left: 4 (401 enodes)
134.077 * * [simplify]: Extracting #0: cost 1 inf + 0
134.077 * * [simplify]: Extracting #1: cost 3 inf + 0
134.078 * * [simplify]: Extracting #2: cost 45 inf + 0
134.079 * * [simplify]: Extracting #3: cost 318 inf + 0
134.082 * * [simplify]: Extracting #4: cost 525 inf + 44
134.089 * * [simplify]: Extracting #5: cost 553 inf + 7931
134.128 * * [simplify]: Extracting #6: cost 271 inf + 112581
134.219 * * [simplify]: Extracting #7: cost 16 inf + 245130
134.296 * * [simplify]: Extracting #8: cost 0 inf + 241621
134.387 * * [simplify]: Extracting #9: cost 0 inf + 240901
134.500 * [simplify]: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))
134.500 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))))
134.501 * * * * [progress]: [ 99 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
134.502 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
134.502 * * [simplify]: iters left: 6 (52 enodes)
134.530 * * [simplify]: iters left: 5 (265 enodes)
134.648 * * [simplify]: Extracting #0: cost 1 inf + 0
134.648 * * [simplify]: Extracting #1: cost 3 inf + 0
134.648 * * [simplify]: Extracting #2: cost 6 inf + 0
134.648 * * [simplify]: Extracting #3: cost 60 inf + 0
134.649 * * [simplify]: Extracting #4: cost 153 inf + 0
134.649 * * [simplify]: Extracting #5: cost 226 inf + 85
134.651 * * [simplify]: Extracting #6: cost 288 inf + 4880
134.653 * * [simplify]: Extracting #7: cost 254 inf + 12419
134.659 * * [simplify]: Extracting #8: cost 147 inf + 39204
134.671 * * [simplify]: Extracting #9: cost 65 inf + 70601
134.693 * * [simplify]: Extracting #10: cost 13 inf + 116157
134.724 * * [simplify]: Extracting #11: cost 0 inf + 132699
134.752 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))
134.752 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
134.754 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
134.754 * * [simplify]: iters left: 6 (27 enodes)
134.767 * * [simplify]: iters left: 5 (130 enodes)
134.820 * * [simplify]: iters left: 4 (398 enodes)
135.055 * * [simplify]: Extracting #0: cost 1 inf + 0
135.055 * * [simplify]: Extracting #1: cost 3 inf + 0
135.055 * * [simplify]: Extracting #2: cost 68 inf + 0
135.057 * * [simplify]: Extracting #3: cost 329 inf + 0
135.060 * * [simplify]: Extracting #4: cost 463 inf + 86
135.065 * * [simplify]: Extracting #5: cost 506 inf + 3738
135.105 * * [simplify]: Extracting #6: cost 249 inf + 108249
135.177 * * [simplify]: Extracting #7: cost 13 inf + 220531
135.259 * * [simplify]: Extracting #8: cost 0 inf + 218254
135.330 * * [simplify]: Extracting #9: cost 0 inf + 217614
135.405 * [simplify]: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
135.405 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ phi2 phi1) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
135.406 * * * * [progress]: [ 100 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
135.407 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
135.408 * * [simplify]: iters left: 6 (52 enodes)
135.432 * * [simplify]: iters left: 5 (265 enodes)
135.510 * * [simplify]: Extracting #0: cost 1 inf + 0
135.510 * * [simplify]: Extracting #1: cost 3 inf + 0
135.510 * * [simplify]: Extracting #2: cost 6 inf + 0
135.510 * * [simplify]: Extracting #3: cost 62 inf + 0
135.510 * * [simplify]: Extracting #4: cost 151 inf + 0
135.513 * * [simplify]: Extracting #5: cost 217 inf + 451
135.514 * * [simplify]: Extracting #6: cost 287 inf + 3631
135.517 * * [simplify]: Extracting #7: cost 249 inf + 13725
135.521 * * [simplify]: Extracting #8: cost 176 inf + 26239
135.530 * * [simplify]: Extracting #9: cost 99 inf + 55168
135.554 * * [simplify]: Extracting #10: cost 49 inf + 81106
135.595 * * [simplify]: Extracting #11: cost 11 inf + 116616
135.640 * * [simplify]: Extracting #12: cost 0 inf + 131851
135.668 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (+ phi2 phi1) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))))))))
135.668 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (+ phi2 phi1) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
135.669 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
135.669 * * [simplify]: iters left: 6 (27 enodes)
135.675 * * [simplify]: iters left: 5 (130 enodes)
135.716 * * [simplify]: iters left: 4 (396 enodes)
135.936 * * [simplify]: Extracting #0: cost 1 inf + 0
135.936 * * [simplify]: Extracting #1: cost 3 inf + 0
135.936 * * [simplify]: Extracting #2: cost 60 inf + 0
135.937 * * [simplify]: Extracting #3: cost 300 inf + 0
135.939 * * [simplify]: Extracting #4: cost 416 inf + 413
135.942 * * [simplify]: Extracting #5: cost 446 inf + 5573
135.965 * * [simplify]: Extracting #6: cost 242 inf + 83435
136.035 * * [simplify]: Extracting #7: cost 4 inf + 199839
136.097 * * [simplify]: Extracting #8: cost 0 inf + 191091
136.169 * * [simplify]: Extracting #9: cost 0 inf + 190931
136.233 * [simplify]: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
136.233 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ phi2 phi1) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
136.234 * * * * [progress]: [ 101 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
136.234 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
136.234 * * [simplify]: iters left: 6 (46 enodes)
136.246 * * [simplify]: iters left: 5 (229 enodes)
136.336 * * [simplify]: Extracting #0: cost 1 inf + 0
136.336 * * [simplify]: Extracting #1: cost 3 inf + 0
136.337 * * [simplify]: Extracting #2: cost 6 inf + 0
136.337 * * [simplify]: Extracting #3: cost 54 inf + 0
136.337 * * [simplify]: Extracting #4: cost 119 inf + 0
136.338 * * [simplify]: Extracting #5: cost 168 inf + 249
136.340 * * [simplify]: Extracting #6: cost 246 inf + 2206
136.343 * * [simplify]: Extracting #7: cost 251 inf + 2898
136.348 * * [simplify]: Extracting #8: cost 158 inf + 22030
136.357 * * [simplify]: Extracting #9: cost 78 inf + 49661
136.374 * * [simplify]: Extracting #10: cost 35 inf + 83130
136.410 * * [simplify]: Extracting #11: cost 8 inf + 104739
136.459 * * [simplify]: Extracting #12: cost 0 inf + 111870
136.485 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (* (* lambda1 lambda1) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ phi2 phi1)))))
136.485 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (* (* lambda1 lambda1) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
136.486 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))
136.486 * * [simplify]: iters left: 6 (22 enodes)
136.493 * * [simplify]: iters left: 5 (108 enodes)
136.532 * * [simplify]: iters left: 4 (326 enodes)
136.682 * * [simplify]: Extracting #0: cost 1 inf + 0
136.682 * * [simplify]: Extracting #1: cost 3 inf + 0
136.682 * * [simplify]: Extracting #2: cost 34 inf + 0
136.682 * * [simplify]: Extracting #3: cost 158 inf + 0
136.683 * * [simplify]: Extracting #4: cost 261 inf + 169
136.685 * * [simplify]: Extracting #5: cost 406 inf + 3010
136.689 * * [simplify]: Extracting #6: cost 304 inf + 17500
136.706 * * [simplify]: Extracting #7: cost 81 inf + 81410
136.748 * * [simplify]: Extracting #8: cost 2 inf + 117462
136.780 * * [simplify]: Extracting #9: cost 0 inf + 118469
136.819 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1))))
136.819 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1)))))))
136.820 * * * * [progress]: [ 102 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
136.820 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
136.820 * * [simplify]: iters left: 6 (51 enodes)
136.834 * * [simplify]: iters left: 5 (257 enodes)
136.910 * * [simplify]: Extracting #0: cost 1 inf + 0
136.910 * * [simplify]: Extracting #1: cost 3 inf + 0
136.910 * * [simplify]: Extracting #2: cost 10 inf + 0
136.911 * * [simplify]: Extracting #3: cost 74 inf + 0
136.911 * * [simplify]: Extracting #4: cost 136 inf + 42
136.912 * * [simplify]: Extracting #5: cost 192 inf + 249
136.914 * * [simplify]: Extracting #6: cost 277 inf + 1679
136.918 * * [simplify]: Extracting #7: cost 254 inf + 8953
136.925 * * [simplify]: Extracting #8: cost 172 inf + 23351
136.936 * * [simplify]: Extracting #9: cost 98 inf + 49230
136.953 * * [simplify]: Extracting #10: cost 41 inf + 82216
136.975 * * [simplify]: Extracting #11: cost 5 inf + 115156
137.009 * * [simplify]: Extracting #12: cost 1 inf + 122296
137.043 * * [simplify]: Extracting #13: cost 0 inf + 124361
137.072 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))))
137.072 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
137.073 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
137.073 * * [simplify]: iters left: 6 (25 enodes)
137.085 * * [simplify]: iters left: 5 (121 enodes)
137.118 * * [simplify]: iters left: 4 (344 enodes)
137.295 * * [simplify]: Extracting #0: cost 1 inf + 0
137.295 * * [simplify]: Extracting #1: cost 3 inf + 0
137.295 * * [simplify]: Extracting #2: cost 33 inf + 0
137.296 * * [simplify]: Extracting #3: cost 145 inf + 0
137.296 * * [simplify]: Extracting #4: cost 269 inf + 85
137.298 * * [simplify]: Extracting #5: cost 427 inf + 861
137.301 * * [simplify]: Extracting #6: cost 324 inf + 15877
137.333 * * [simplify]: Extracting #7: cost 86 inf + 87799
137.394 * * [simplify]: Extracting #8: cost 4 inf + 128264
137.456 * * [simplify]: Extracting #9: cost 0 inf + 130559
137.510 * [simplify]: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))))
137.510 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))))))
137.510 * * * * [progress]: [ 103 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
137.511 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
137.511 * * [simplify]: iters left: 6 (46 enodes)
137.523 * * [simplify]: iters left: 5 (229 enodes)
137.573 * * [simplify]: Extracting #0: cost 1 inf + 0
137.574 * * [simplify]: Extracting #1: cost 3 inf + 0
137.574 * * [simplify]: Extracting #2: cost 10 inf + 0
137.574 * * [simplify]: Extracting #3: cost 66 inf + 0
137.574 * * [simplify]: Extracting #4: cost 117 inf + 44
137.574 * * [simplify]: Extracting #5: cost 160 inf + 618
137.575 * * [simplify]: Extracting #6: cost 241 inf + 2770
137.577 * * [simplify]: Extracting #7: cost 247 inf + 3259
137.582 * * [simplify]: Extracting #8: cost 160 inf + 22331
137.601 * * [simplify]: Extracting #9: cost 61 inf + 58370
137.631 * * [simplify]: Extracting #10: cost 20 inf + 86888
137.654 * * [simplify]: Extracting #11: cost 0 inf + 104000
137.682 * * [simplify]: Extracting #12: cost 0 inf + 103760
137.722 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))
137.722 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- phi1 phi2)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
137.724 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))
137.724 * * [simplify]: iters left: 6 (21 enodes)
137.732 * * [simplify]: iters left: 5 (103 enodes)
137.754 * * [simplify]: iters left: 4 (286 enodes)
137.897 * * [simplify]: Extracting #0: cost 1 inf + 0
137.897 * * [simplify]: Extracting #1: cost 3 inf + 0
137.897 * * [simplify]: Extracting #2: cost 23 inf + 0
137.897 * * [simplify]: Extracting #3: cost 70 inf + 0
137.897 * * [simplify]: Extracting #4: cost 163 inf + 2
137.898 * * [simplify]: Extracting #5: cost 332 inf + 44
137.900 * * [simplify]: Extracting #6: cost 294 inf + 4031
137.909 * * [simplify]: Extracting #7: cost 79 inf + 48166
137.934 * * [simplify]: Extracting #8: cost 2 inf + 75405
137.970 * * [simplify]: Extracting #9: cost 0 inf + 76531
138.001 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
138.001 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))))
138.002 * * * * [progress]: [ 104 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
138.002 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
138.002 * * [simplify]: iters left: 6 (51 enodes)
138.017 * * [simplify]: iters left: 5 (257 enodes)
138.085 * * [simplify]: Extracting #0: cost 1 inf + 0
138.085 * * [simplify]: Extracting #1: cost 3 inf + 0
138.085 * * [simplify]: Extracting #2: cost 10 inf + 0
138.085 * * [simplify]: Extracting #3: cost 74 inf + 0
138.085 * * [simplify]: Extracting #4: cost 136 inf + 42
138.086 * * [simplify]: Extracting #5: cost 193 inf + 207
138.087 * * [simplify]: Extracting #6: cost 277 inf + 1717
138.089 * * [simplify]: Extracting #7: cost 251 inf + 9840
138.092 * * [simplify]: Extracting #8: cost 174 inf + 22806
138.100 * * [simplify]: Extracting #9: cost 99 inf + 48763
138.122 * * [simplify]: Extracting #10: cost 40 inf + 83721
138.144 * * [simplify]: Extracting #11: cost 5 inf + 116116
138.183 * * [simplify]: Extracting #12: cost 1 inf + 123256
138.212 * * [simplify]: Extracting #13: cost 0 inf + 125321
138.246 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))))
138.246 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
138.247 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
138.248 * * [simplify]: iters left: 6 (25 enodes)
138.260 * * [simplify]: iters left: 5 (121 enodes)
138.298 * * [simplify]: iters left: 4 (344 enodes)
138.425 * * [simplify]: Extracting #0: cost 1 inf + 0
138.425 * * [simplify]: Extracting #1: cost 3 inf + 0
138.425 * * [simplify]: Extracting #2: cost 33 inf + 0
138.425 * * [simplify]: Extracting #3: cost 145 inf + 0
138.426 * * [simplify]: Extracting #4: cost 269 inf + 85
138.427 * * [simplify]: Extracting #5: cost 427 inf + 861
138.431 * * [simplify]: Extracting #6: cost 324 inf + 15877
138.450 * * [simplify]: Extracting #7: cost 86 inf + 87799
138.481 * * [simplify]: Extracting #8: cost 4 inf + 128264
138.530 * * [simplify]: Extracting #9: cost 0 inf + 130559
138.589 * [simplify]: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))))
138.589 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))))))
138.590 * * * * [progress]: [ 105 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
138.590 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
138.591 * * [simplify]: iters left: 6 (46 enodes)
138.612 * * [simplify]: iters left: 5 (229 enodes)
138.687 * * [simplify]: Extracting #0: cost 1 inf + 0
138.687 * * [simplify]: Extracting #1: cost 3 inf + 0
138.687 * * [simplify]: Extracting #2: cost 10 inf + 0
138.687 * * [simplify]: Extracting #3: cost 65 inf + 0
138.687 * * [simplify]: Extracting #4: cost 117 inf + 44
138.688 * * [simplify]: Extracting #5: cost 157 inf + 864
138.689 * * [simplify]: Extracting #6: cost 240 inf + 2932
138.690 * * [simplify]: Extracting #7: cost 247 inf + 3259
138.696 * * [simplify]: Extracting #8: cost 149 inf + 24233
138.714 * * [simplify]: Extracting #9: cost 61 inf + 58488
138.738 * * [simplify]: Extracting #10: cost 20 inf + 88594
138.760 * * [simplify]: Extracting #11: cost 0 inf + 104480
138.795 * * [simplify]: Extracting #12: cost 0 inf + 104240
138.829 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))
138.830 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
138.831 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))
138.831 * * [simplify]: iters left: 6 (21 enodes)
138.840 * * [simplify]: iters left: 5 (103 enodes)
138.862 * * [simplify]: iters left: 4 (286 enodes)
139.006 * * [simplify]: Extracting #0: cost 1 inf + 0
139.006 * * [simplify]: Extracting #1: cost 3 inf + 0
139.006 * * [simplify]: Extracting #2: cost 23 inf + 0
139.006 * * [simplify]: Extracting #3: cost 70 inf + 0
139.007 * * [simplify]: Extracting #4: cost 163 inf + 2
139.009 * * [simplify]: Extracting #5: cost 332 inf + 44
139.012 * * [simplify]: Extracting #6: cost 294 inf + 4031
139.025 * * [simplify]: Extracting #7: cost 79 inf + 48166
139.045 * * [simplify]: Extracting #8: cost 2 inf + 75405
139.076 * * [simplify]: Extracting #9: cost 0 inf + 76531
139.112 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
139.112 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))))
139.113 * * * * [progress]: [ 106 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
139.113 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
139.114 * * [simplify]: iters left: 6 (52 enodes)
139.141 * * [simplify]: iters left: 5 (254 enodes)
139.229 * * [simplify]: Extracting #0: cost 1 inf + 0
139.229 * * [simplify]: Extracting #1: cost 3 inf + 0
139.229 * * [simplify]: Extracting #2: cost 6 inf + 0
139.229 * * [simplify]: Extracting #3: cost 56 inf + 0
139.230 * * [simplify]: Extracting #4: cost 130 inf + 0
139.231 * * [simplify]: Extracting #5: cost 215 inf + 0
139.232 * * [simplify]: Extracting #6: cost 312 inf + 510
139.236 * * [simplify]: Extracting #7: cost 267 inf + 10727
139.245 * * [simplify]: Extracting #8: cost 151 inf + 36658
139.265 * * [simplify]: Extracting #9: cost 55 inf + 74128
139.286 * * [simplify]: Extracting #10: cost 12 inf + 117785
139.340 * * [simplify]: Extracting #11: cost 1 inf + 131140
139.394 * * [simplify]: Extracting #12: cost 0 inf + 133205
139.429 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
139.429 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
139.430 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
139.430 * * [simplify]: iters left: 6 (25 enodes)
139.443 * * [simplify]: iters left: 5 (117 enodes)
139.475 * * [simplify]: iters left: 4 (379 enodes)
139.695 * * [simplify]: Extracting #0: cost 1 inf + 0
139.695 * * [simplify]: Extracting #1: cost 3 inf + 0
139.695 * * [simplify]: Extracting #2: cost 44 inf + 0
139.696 * * [simplify]: Extracting #3: cost 310 inf + 0
139.697 * * [simplify]: Extracting #4: cost 508 inf + 126
139.701 * * [simplify]: Extracting #5: cost 517 inf + 11851
139.752 * * [simplify]: Extracting #6: cost 246 inf + 123576
139.866 * * [simplify]: Extracting #7: cost 8 inf + 242909
139.940 * * [simplify]: Extracting #8: cost 0 inf + 236615
140.008 * * [simplify]: Extracting #9: cost 0 inf + 236215
140.096 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))
140.096 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))))
140.097 * * * * [progress]: [ 107 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
140.097 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
140.098 * * [simplify]: iters left: 6 (53 enodes)
140.125 * * [simplify]: iters left: 5 (263 enodes)
140.238 * * [simplify]: Extracting #0: cost 1 inf + 0
140.238 * * [simplify]: Extracting #1: cost 3 inf + 0
140.238 * * [simplify]: Extracting #2: cost 6 inf + 0
140.239 * * [simplify]: Extracting #3: cost 60 inf + 0
140.240 * * [simplify]: Extracting #4: cost 153 inf + 0
140.241 * * [simplify]: Extracting #5: cost 228 inf + 85
140.243 * * [simplify]: Extracting #6: cost 288 inf + 4401
140.249 * * [simplify]: Extracting #7: cost 254 inf + 11663
140.257 * * [simplify]: Extracting #8: cost 188 inf + 24117
140.271 * * [simplify]: Extracting #9: cost 116 inf + 46622
140.296 * * [simplify]: Extracting #10: cost 54 inf + 76448
140.339 * * [simplify]: Extracting #11: cost 15 inf + 112847
140.389 * * [simplify]: Extracting #12: cost 0 inf + 131142
140.431 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
140.431 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
140.432 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
140.432 * * [simplify]: iters left: 6 (26 enodes)
140.440 * * [simplify]: iters left: 5 (121 enodes)
140.476 * * [simplify]: iters left: 4 (376 enodes)
140.664 * * [simplify]: Extracting #0: cost 1 inf + 0
140.664 * * [simplify]: Extracting #1: cost 3 inf + 0
140.664 * * [simplify]: Extracting #2: cost 67 inf + 0
140.665 * * [simplify]: Extracting #3: cost 320 inf + 0
140.669 * * [simplify]: Extracting #4: cost 446 inf + 412
140.675 * * [simplify]: Extracting #5: cost 476 inf + 8136
140.701 * * [simplify]: Extracting #6: cost 250 inf + 112869
140.773 * * [simplify]: Extracting #7: cost 13 inf + 215053
140.852 * * [simplify]: Extracting #8: cost 0 inf + 211535
140.916 * * [simplify]: Extracting #9: cost 0 inf + 210695
140.993 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))))
140.994 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)))))))
140.995 * * * * [progress]: [ 108 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
140.995 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
140.996 * * [simplify]: iters left: 6 (53 enodes)
141.018 * * [simplify]: iters left: 5 (263 enodes)
141.103 * * [simplify]: Extracting #0: cost 1 inf + 0
141.103 * * [simplify]: Extracting #1: cost 3 inf + 0
141.103 * * [simplify]: Extracting #2: cost 6 inf + 0
141.103 * * [simplify]: Extracting #3: cost 62 inf + 0
141.103 * * [simplify]: Extracting #4: cost 151 inf + 0
141.104 * * [simplify]: Extracting #5: cost 225 inf + 44
141.105 * * [simplify]: Extracting #6: cost 284 inf + 4723
141.108 * * [simplify]: Extracting #7: cost 258 inf + 10707
141.117 * * [simplify]: Extracting #8: cost 156 inf + 35786
141.140 * * [simplify]: Extracting #9: cost 59 inf + 72553
141.166 * * [simplify]: Extracting #10: cost 14 inf + 115224
141.197 * * [simplify]: Extracting #11: cost 0 inf + 132174
141.238 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
141.239 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
141.239 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
141.240 * * [simplify]: iters left: 6 (26 enodes)
141.246 * * [simplify]: iters left: 5 (121 enodes)
141.274 * * [simplify]: iters left: 4 (374 enodes)
141.499 * * [simplify]: Extracting #0: cost 1 inf + 0
141.499 * * [simplify]: Extracting #1: cost 3 inf + 0
141.500 * * [simplify]: Extracting #2: cost 61 inf + 0
141.501 * * [simplify]: Extracting #3: cost 304 inf + 0
141.504 * * [simplify]: Extracting #4: cost 409 inf + 860
141.510 * * [simplify]: Extracting #5: cost 441 inf + 7302
141.540 * * [simplify]: Extracting #6: cost 237 inf + 90120
141.600 * * [simplify]: Extracting #7: cost 10 inf + 198382
141.669 * * [simplify]: Extracting #8: cost 0 inf + 191774
141.721 * * [simplify]: Extracting #9: cost 0 inf + 191254
141.817 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
141.817 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
141.819 * * * * [progress]: [ 109 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
141.819 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
141.820 * * [simplify]: iters left: 6 (47 enodes)
141.844 * * [simplify]: iters left: 5 (227 enodes)
141.916 * * [simplify]: Extracting #0: cost 1 inf + 0
141.916 * * [simplify]: Extracting #1: cost 3 inf + 0
141.916 * * [simplify]: Extracting #2: cost 6 inf + 0
141.916 * * [simplify]: Extracting #3: cost 54 inf + 0
141.916 * * [simplify]: Extracting #4: cost 119 inf + 0
141.917 * * [simplify]: Extracting #5: cost 173 inf + 44
141.918 * * [simplify]: Extracting #6: cost 253 inf + 1314
141.919 * * [simplify]: Extracting #7: cost 237 inf + 4281
141.922 * * [simplify]: Extracting #8: cost 156 inf + 20978
141.930 * * [simplify]: Extracting #9: cost 91 inf + 46601
141.944 * * [simplify]: Extracting #10: cost 44 inf + 66186
141.977 * * [simplify]: Extracting #11: cost 11 inf + 95598
142.000 * * [simplify]: Extracting #12: cost 1 inf + 108368
142.026 * * [simplify]: Extracting #13: cost 0 inf + 110233
142.058 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))
142.058 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
142.059 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
142.059 * * [simplify]: iters left: 6 (21 enodes)
142.064 * * [simplify]: iters left: 5 (99 enodes)
142.084 * * [simplify]: iters left: 4 (304 enodes)
142.215 * * [simplify]: Extracting #0: cost 1 inf + 0
142.215 * * [simplify]: Extracting #1: cost 3 inf + 0
142.215 * * [simplify]: Extracting #2: cost 35 inf + 0
142.215 * * [simplify]: Extracting #3: cost 157 inf + 0
142.216 * * [simplify]: Extracting #4: cost 243 inf + 85
142.218 * * [simplify]: Extracting #5: cost 306 inf + 1308
142.224 * * [simplify]: Extracting #6: cost 204 inf + 29712
142.248 * * [simplify]: Extracting #7: cost 30 inf + 93637
142.279 * * [simplify]: Extracting #8: cost 0 inf + 101085
142.329 * * [simplify]: Extracting #9: cost 0 inf + 98765
142.356 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ phi1 phi2) (+ phi1 phi2))))
142.356 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
142.357 * * * * [progress]: [ 110 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
142.357 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
142.358 * * [simplify]: iters left: 6 (52 enodes)
142.384 * * [simplify]: iters left: 5 (255 enodes)
142.462 * * [simplify]: Extracting #0: cost 1 inf + 0
142.463 * * [simplify]: Extracting #1: cost 3 inf + 0
142.463 * * [simplify]: Extracting #2: cost 10 inf + 0
142.463 * * [simplify]: Extracting #3: cost 74 inf + 0
142.463 * * [simplify]: Extracting #4: cost 137 inf + 1
142.464 * * [simplify]: Extracting #5: cost 195 inf + 207
142.467 * * [simplify]: Extracting #6: cost 275 inf + 2564
142.470 * * [simplify]: Extracting #7: cost 255 inf + 7271
142.477 * * [simplify]: Extracting #8: cost 170 inf + 25158
142.492 * * [simplify]: Extracting #9: cost 104 inf + 48990
142.513 * * [simplify]: Extracting #10: cost 49 inf + 74259
142.537 * * [simplify]: Extracting #11: cost 6 inf + 116934
142.582 * * [simplify]: Extracting #12: cost 1 inf + 123099
142.609 * * [simplify]: Extracting #13: cost 0 inf + 125124
142.659 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
142.660 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
142.661 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
142.661 * * [simplify]: iters left: 6 (24 enodes)
142.672 * * [simplify]: iters left: 5 (112 enodes)
142.697 * * [simplify]: iters left: 4 (321 enodes)
142.831 * * [simplify]: Extracting #0: cost 1 inf + 0
142.831 * * [simplify]: Extracting #1: cost 3 inf + 0
142.831 * * [simplify]: Extracting #2: cost 33 inf + 0
142.831 * * [simplify]: Extracting #3: cost 142 inf + 0
142.832 * * [simplify]: Extracting #4: cost 248 inf + 290
142.834 * * [simplify]: Extracting #5: cost 315 inf + 1066
142.845 * * [simplify]: Extracting #6: cost 220 inf + 31306
142.891 * * [simplify]: Extracting #7: cost 25 inf + 107739
142.921 * * [simplify]: Extracting #8: cost 0 inf + 111776
142.966 * * [simplify]: Extracting #9: cost 0 inf + 110256
143.000 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))
143.000 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))))
143.001 * * * * [progress]: [ 111 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
143.002 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
143.002 * * [simplify]: iters left: 6 (47 enodes)
143.029 * * [simplify]: iters left: 5 (227 enodes)
143.113 * * [simplify]: Extracting #0: cost 1 inf + 0
143.113 * * [simplify]: Extracting #1: cost 3 inf + 0
143.113 * * [simplify]: Extracting #2: cost 10 inf + 0
143.114 * * [simplify]: Extracting #3: cost 66 inf + 0
143.114 * * [simplify]: Extracting #4: cost 117 inf + 44
143.114 * * [simplify]: Extracting #5: cost 158 inf + 1226
143.116 * * [simplify]: Extracting #6: cost 241 inf + 2972
143.117 * * [simplify]: Extracting #7: cost 238 inf + 3875
143.121 * * [simplify]: Extracting #8: cost 134 inf + 28476
143.132 * * [simplify]: Extracting #9: cost 49 inf + 61920
143.156 * * [simplify]: Extracting #10: cost 6 inf + 96613
143.181 * * [simplify]: Extracting #11: cost 1 inf + 103258
143.210 * * [simplify]: Extracting #12: cost 0 inf + 104963
143.232 * * [simplify]: Extracting #13: cost 0 inf + 104883
143.261 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))
143.262 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
143.262 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
143.262 * * [simplify]: iters left: 6 (20 enodes)
143.267 * * [simplify]: iters left: 5 (94 enodes)
143.284 * * [simplify]: iters left: 4 (264 enodes)
143.381 * * [simplify]: Extracting #0: cost 1 inf + 0
143.381 * * [simplify]: Extracting #1: cost 3 inf + 0
143.381 * * [simplify]: Extracting #2: cost 23 inf + 0
143.381 * * [simplify]: Extracting #3: cost 69 inf + 0
143.381 * * [simplify]: Extracting #4: cost 140 inf + 2
143.383 * * [simplify]: Extracting #5: cost 215 inf + 44
143.390 * * [simplify]: Extracting #6: cost 124 inf + 20438
143.413 * * [simplify]: Extracting #7: cost 13 inf + 54742
143.429 * * [simplify]: Extracting #8: cost 0 inf + 56896
143.450 * * [simplify]: Extracting #9: cost 0 inf + 56176
143.474 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))
143.474 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))))
143.475 * * * * [progress]: [ 112 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
143.475 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
143.476 * * [simplify]: iters left: 6 (52 enodes)
143.489 * * [simplify]: iters left: 5 (255 enodes)
143.558 * * [simplify]: Extracting #0: cost 1 inf + 0
143.558 * * [simplify]: Extracting #1: cost 3 inf + 0
143.558 * * [simplify]: Extracting #2: cost 10 inf + 0
143.558 * * [simplify]: Extracting #3: cost 74 inf + 0
143.558 * * [simplify]: Extracting #4: cost 137 inf + 1
143.559 * * [simplify]: Extracting #5: cost 195 inf + 207
143.560 * * [simplify]: Extracting #6: cost 272 inf + 3128
143.562 * * [simplify]: Extracting #7: cost 249 inf + 8842
143.566 * * [simplify]: Extracting #8: cost 168 inf + 26294
143.578 * * [simplify]: Extracting #9: cost 105 inf + 48825
143.600 * * [simplify]: Extracting #10: cost 50 inf + 74474
143.621 * * [simplify]: Extracting #11: cost 9 inf + 115219
143.669 * * [simplify]: Extracting #12: cost 1 inf + 124059
143.711 * * [simplify]: Extracting #13: cost 0 inf + 126084
143.737 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
143.737 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
143.738 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
143.738 * * [simplify]: iters left: 6 (24 enodes)
143.744 * * [simplify]: iters left: 5 (112 enodes)
143.780 * * [simplify]: iters left: 4 (321 enodes)
143.917 * * [simplify]: Extracting #0: cost 1 inf + 0
143.917 * * [simplify]: Extracting #1: cost 3 inf + 0
143.917 * * [simplify]: Extracting #2: cost 33 inf + 0
143.918 * * [simplify]: Extracting #3: cost 142 inf + 0
143.919 * * [simplify]: Extracting #4: cost 248 inf + 290
143.922 * * [simplify]: Extracting #5: cost 315 inf + 1066
143.932 * * [simplify]: Extracting #6: cost 220 inf + 31306
143.982 * * [simplify]: Extracting #7: cost 25 inf + 107739
144.025 * * [simplify]: Extracting #8: cost 0 inf + 111776
144.060 * * [simplify]: Extracting #9: cost 0 inf + 110256
144.088 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))
144.088 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))))
144.089 * * * * [progress]: [ 113 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
144.089 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
144.090 * * [simplify]: iters left: 6 (47 enodes)
144.104 * * [simplify]: iters left: 5 (227 enodes)
144.150 * * [simplify]: Extracting #0: cost 1 inf + 0
144.150 * * [simplify]: Extracting #1: cost 3 inf + 0
144.151 * * [simplify]: Extracting #2: cost 10 inf + 0
144.151 * * [simplify]: Extracting #3: cost 65 inf + 0
144.151 * * [simplify]: Extracting #4: cost 116 inf + 86
144.151 * * [simplify]: Extracting #5: cost 155 inf + 1432
144.153 * * [simplify]: Extracting #6: cost 241 inf + 2932
144.154 * * [simplify]: Extracting #7: cost 236 inf + 4279
144.158 * * [simplify]: Extracting #8: cost 138 inf + 25592
144.179 * * [simplify]: Extracting #9: cost 55 inf + 58094
144.210 * * [simplify]: Extracting #10: cost 11 inf + 93448
144.231 * * [simplify]: Extracting #11: cost 1 inf + 104738
144.253 * * [simplify]: Extracting #12: cost 0 inf + 106483
144.276 * * [simplify]: Extracting #13: cost 0 inf + 106403
144.298 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))))
144.298 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
144.299 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
144.300 * * [simplify]: iters left: 6 (20 enodes)
144.307 * * [simplify]: iters left: 5 (94 enodes)
144.337 * * [simplify]: iters left: 4 (264 enodes)
144.460 * * [simplify]: Extracting #0: cost 1 inf + 0
144.460 * * [simplify]: Extracting #1: cost 3 inf + 0
144.460 * * [simplify]: Extracting #2: cost 23 inf + 0
144.460 * * [simplify]: Extracting #3: cost 69 inf + 0
144.461 * * [simplify]: Extracting #4: cost 140 inf + 2
144.463 * * [simplify]: Extracting #5: cost 215 inf + 44
144.470 * * [simplify]: Extracting #6: cost 124 inf + 20438
144.492 * * [simplify]: Extracting #7: cost 13 inf + 54742
144.521 * * [simplify]: Extracting #8: cost 0 inf + 56896
144.554 * * [simplify]: Extracting #9: cost 0 inf + 56176
144.574 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))
144.574 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))))
144.575 * * * * [progress]: [ 114 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
144.576 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
144.576 * * [simplify]: iters left: 6 (52 enodes)
144.594 * * [simplify]: iters left: 5 (254 enodes)
144.680 * * [simplify]: Extracting #0: cost 1 inf + 0
144.680 * * [simplify]: Extracting #1: cost 3 inf + 0
144.681 * * [simplify]: Extracting #2: cost 6 inf + 0
144.681 * * [simplify]: Extracting #3: cost 56 inf + 0
144.681 * * [simplify]: Extracting #4: cost 130 inf + 0
144.682 * * [simplify]: Extracting #5: cost 210 inf + 0
144.683 * * [simplify]: Extracting #6: cost 301 inf + 882
144.687 * * [simplify]: Extracting #7: cost 255 inf + 11213
144.695 * * [simplify]: Extracting #8: cost 167 inf + 27711
144.708 * * [simplify]: Extracting #9: cost 120 inf + 40706
144.732 * * [simplify]: Extracting #10: cost 54 inf + 72331
144.774 * * [simplify]: Extracting #11: cost 7 inf + 120695
144.812 * * [simplify]: Extracting #12: cost 1 inf + 129045
144.855 * * [simplify]: Extracting #13: cost 0 inf + 131110
144.883 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))))
144.883 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
144.883 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
144.884 * * [simplify]: iters left: 6 (25 enodes)
144.893 * * [simplify]: iters left: 5 (117 enodes)
144.941 * * [simplify]: iters left: 4 (379 enodes)
145.230 * * [simplify]: Extracting #0: cost 1 inf + 0
145.230 * * [simplify]: Extracting #1: cost 3 inf + 0
145.230 * * [simplify]: Extracting #2: cost 44 inf + 0
145.231 * * [simplify]: Extracting #3: cost 310 inf + 0
145.234 * * [simplify]: Extracting #4: cost 504 inf + 126
145.243 * * [simplify]: Extracting #5: cost 481 inf + 19268
145.294 * * [simplify]: Extracting #6: cost 216 inf + 125782
145.369 * * [simplify]: Extracting #7: cost 4 inf + 226165
145.452 * * [simplify]: Extracting #8: cost 0 inf + 227775
145.540 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))
145.540 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))))
145.541 * * * * [progress]: [ 115 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
145.541 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
145.541 * * [simplify]: iters left: 6 (53 enodes)
145.555 * * [simplify]: iters left: 5 (263 enodes)
145.634 * * [simplify]: Extracting #0: cost 1 inf + 0
145.634 * * [simplify]: Extracting #1: cost 3 inf + 0
145.634 * * [simplify]: Extracting #2: cost 6 inf + 0
145.635 * * [simplify]: Extracting #3: cost 60 inf + 0
145.635 * * [simplify]: Extracting #4: cost 153 inf + 0
145.636 * * [simplify]: Extracting #5: cost 223 inf + 85
145.639 * * [simplify]: Extracting #6: cost 279 inf + 4609
145.644 * * [simplify]: Extracting #7: cost 243 inf + 13010
145.651 * * [simplify]: Extracting #8: cost 178 inf + 26457
145.665 * * [simplify]: Extracting #9: cost 117 inf + 44421
145.678 * * [simplify]: Extracting #10: cost 54 inf + 75740
145.706 * * [simplify]: Extracting #11: cost 13 inf + 116526
145.756 * * [simplify]: Extracting #12: cost 0 inf + 133847
145.808 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
145.808 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
145.809 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
145.809 * * [simplify]: iters left: 6 (26 enodes)
145.823 * * [simplify]: iters left: 5 (121 enodes)
145.877 * * [simplify]: iters left: 4 (376 enodes)
146.057 * * [simplify]: Extracting #0: cost 1 inf + 0
146.057 * * [simplify]: Extracting #1: cost 3 inf + 0
146.057 * * [simplify]: Extracting #2: cost 67 inf + 0
146.061 * * [simplify]: Extracting #3: cost 320 inf + 0
146.062 * * [simplify]: Extracting #4: cost 442 inf + 412
146.067 * * [simplify]: Extracting #5: cost 437 inf + 16006
146.092 * * [simplify]: Extracting #6: cost 213 inf + 109881
146.167 * * [simplify]: Extracting #7: cost 6 inf + 201281
146.225 * * [simplify]: Extracting #8: cost 0 inf + 202695
146.276 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))))
146.276 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)))))))
146.277 * * * * [progress]: [ 116 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
146.277 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
146.278 * * [simplify]: iters left: 6 (53 enodes)
146.293 * * [simplify]: iters left: 5 (263 enodes)
146.354 * * [simplify]: Extracting #0: cost 1 inf + 0
146.354 * * [simplify]: Extracting #1: cost 3 inf + 0
146.354 * * [simplify]: Extracting #2: cost 6 inf + 0
146.355 * * [simplify]: Extracting #3: cost 62 inf + 0
146.355 * * [simplify]: Extracting #4: cost 151 inf + 0
146.356 * * [simplify]: Extracting #5: cost 220 inf + 44
146.359 * * [simplify]: Extracting #6: cost 279 inf + 4284
146.366 * * [simplify]: Extracting #7: cost 233 inf + 15809
146.380 * * [simplify]: Extracting #8: cost 174 inf + 26757
146.396 * * [simplify]: Extracting #9: cost 96 inf + 56327
146.423 * * [simplify]: Extracting #10: cost 45 inf + 81714
146.462 * * [simplify]: Extracting #11: cost 15 inf + 113064
146.510 * * [simplify]: Extracting #12: cost 0 inf + 131359
146.561 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
146.561 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
146.564 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
146.564 * * [simplify]: iters left: 6 (26 enodes)
146.577 * * [simplify]: iters left: 5 (121 enodes)
146.625 * * [simplify]: iters left: 4 (374 enodes)
146.854 * * [simplify]: Extracting #0: cost 1 inf + 0
146.854 * * [simplify]: Extracting #1: cost 3 inf + 0
146.854 * * [simplify]: Extracting #2: cost 61 inf + 0
146.855 * * [simplify]: Extracting #3: cost 304 inf + 0
146.857 * * [simplify]: Extracting #4: cost 405 inf + 860
146.864 * * [simplify]: Extracting #5: cost 412 inf + 11494
146.882 * * [simplify]: Extracting #6: cost 195 inf + 96884
146.933 * * [simplify]: Extracting #7: cost 4 inf + 182086
147.618 * * [simplify]: Extracting #8: cost 0 inf + 182894
147.678 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
147.678 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
147.679 * * * * [progress]: [ 117 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
147.679 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
147.680 * * [simplify]: iters left: 6 (47 enodes)
147.691 * * [simplify]: iters left: 5 (227 enodes)
147.751 * * [simplify]: Extracting #0: cost 1 inf + 0
147.751 * * [simplify]: Extracting #1: cost 3 inf + 0
147.751 * * [simplify]: Extracting #2: cost 6 inf + 0
147.751 * * [simplify]: Extracting #3: cost 54 inf + 0
147.752 * * [simplify]: Extracting #4: cost 119 inf + 0
147.752 * * [simplify]: Extracting #5: cost 168 inf + 44
147.753 * * [simplify]: Extracting #6: cost 247 inf + 1357
147.754 * * [simplify]: Extracting #7: cost 227 inf + 5748
147.758 * * [simplify]: Extracting #8: cost 152 inf + 21789
147.770 * * [simplify]: Extracting #9: cost 94 inf + 44825
147.790 * * [simplify]: Extracting #10: cost 45 inf + 64426
147.807 * * [simplify]: Extracting #11: cost 12 inf + 93198
147.838 * * [simplify]: Extracting #12: cost 1 inf + 107313
147.870 * * [simplify]: Extracting #13: cost 0 inf + 109218
147.898 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))
147.899 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
147.900 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))
147.900 * * [simplify]: iters left: 6 (21 enodes)
147.910 * * [simplify]: iters left: 5 (99 enodes)
147.935 * * [simplify]: iters left: 4 (304 enodes)
148.071 * * [simplify]: Extracting #0: cost 1 inf + 0
148.072 * * [simplify]: Extracting #1: cost 3 inf + 0
148.072 * * [simplify]: Extracting #2: cost 35 inf + 0
148.073 * * [simplify]: Extracting #3: cost 157 inf + 0
148.074 * * [simplify]: Extracting #4: cost 239 inf + 85
148.077 * * [simplify]: Extracting #5: cost 288 inf + 2980
148.089 * * [simplify]: Extracting #6: cost 180 inf + 31987
148.126 * * [simplify]: Extracting #7: cost 17 inf + 89316
148.176 * * [simplify]: Extracting #8: cost 0 inf + 96965
148.222 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
148.222 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
148.223 * * * * [progress]: [ 118 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
148.224 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
148.224 * * [simplify]: iters left: 6 (52 enodes)
148.251 * * [simplify]: iters left: 5 (255 enodes)
148.333 * * [simplify]: Extracting #0: cost 1 inf + 0
148.333 * * [simplify]: Extracting #1: cost 3 inf + 0
148.334 * * [simplify]: Extracting #2: cost 10 inf + 0
148.334 * * [simplify]: Extracting #3: cost 74 inf + 0
148.334 * * [simplify]: Extracting #4: cost 137 inf + 1
148.335 * * [simplify]: Extracting #5: cost 190 inf + 207
148.337 * * [simplify]: Extracting #6: cost 265 inf + 2855
148.341 * * [simplify]: Extracting #7: cost 233 inf + 10835
148.349 * * [simplify]: Extracting #8: cost 160 inf + 26877
148.363 * * [simplify]: Extracting #9: cost 108 inf + 45097
148.386 * * [simplify]: Extracting #10: cost 52 inf + 70049
148.423 * * [simplify]: Extracting #11: cost 12 inf + 109529
148.471 * * [simplify]: Extracting #12: cost 1 inf + 122964
148.500 * * [simplify]: Extracting #13: cost 0 inf + 125069
148.550 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))
148.550 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
148.551 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
148.552 * * [simplify]: iters left: 6 (24 enodes)
148.563 * * [simplify]: iters left: 5 (112 enodes)
148.608 * * [simplify]: iters left: 4 (321 enodes)
148.796 * * [simplify]: Extracting #0: cost 1 inf + 0
148.796 * * [simplify]: Extracting #1: cost 3 inf + 0
148.796 * * [simplify]: Extracting #2: cost 33 inf + 0
148.796 * * [simplify]: Extracting #3: cost 142 inf + 0
148.797 * * [simplify]: Extracting #4: cost 244 inf + 290
148.798 * * [simplify]: Extracting #5: cost 302 inf + 2043
148.805 * * [simplify]: Extracting #6: cost 174 inf + 38037
148.842 * * [simplify]: Extracting #7: cost 15 inf + 101413
148.875 * * [simplify]: Extracting #8: cost 0 inf + 107776
148.910 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
148.910 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))))
148.910 * * * * [progress]: [ 119 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
148.911 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
148.911 * * [simplify]: iters left: 6 (47 enodes)
148.924 * * [simplify]: iters left: 5 (227 enodes)
148.994 * * [simplify]: Extracting #0: cost 1 inf + 0
148.994 * * [simplify]: Extracting #1: cost 3 inf + 0
148.994 * * [simplify]: Extracting #2: cost 10 inf + 0
148.995 * * [simplify]: Extracting #3: cost 66 inf + 0
148.995 * * [simplify]: Extracting #4: cost 117 inf + 44
148.995 * * [simplify]: Extracting #5: cost 153 inf + 1186
148.996 * * [simplify]: Extracting #6: cost 234 inf + 3016
148.998 * * [simplify]: Extracting #7: cost 220 inf + 6196
149.003 * * [simplify]: Extracting #8: cost 118 inf + 32496
149.014 * * [simplify]: Extracting #9: cost 50 inf + 63883
149.042 * * [simplify]: Extracting #10: cost 7 inf + 95439
149.082 * * [simplify]: Extracting #11: cost 1 inf + 101523
149.123 * * [simplify]: Extracting #12: cost 0 inf + 103308
149.165 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))
149.165 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
149.166 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
149.166 * * [simplify]: iters left: 6 (20 enodes)
149.175 * * [simplify]: iters left: 5 (94 enodes)
149.211 * * [simplify]: iters left: 4 (264 enodes)
149.355 * * [simplify]: Extracting #0: cost 1 inf + 0
149.355 * * [simplify]: Extracting #1: cost 3 inf + 0
149.355 * * [simplify]: Extracting #2: cost 23 inf + 0
149.355 * * [simplify]: Extracting #3: cost 69 inf + 0
149.355 * * [simplify]: Extracting #4: cost 136 inf + 2
149.356 * * [simplify]: Extracting #5: cost 206 inf + 88
149.359 * * [simplify]: Extracting #6: cost 124 inf + 18280
149.372 * * [simplify]: Extracting #7: cost 10 inf + 50709
149.386 * * [simplify]: Extracting #8: cost 0 inf + 54696
149.401 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2)))))
149.401 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))))))))
149.402 * * * * [progress]: [ 120 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
149.402 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
149.403 * * [simplify]: iters left: 6 (52 enodes)
149.416 * * [simplify]: iters left: 5 (255 enodes)
149.487 * * [simplify]: Extracting #0: cost 1 inf + 0
149.488 * * [simplify]: Extracting #1: cost 3 inf + 0
149.488 * * [simplify]: Extracting #2: cost 10 inf + 0
149.488 * * [simplify]: Extracting #3: cost 74 inf + 0
149.488 * * [simplify]: Extracting #4: cost 137 inf + 1
149.489 * * [simplify]: Extracting #5: cost 190 inf + 207
149.490 * * [simplify]: Extracting #6: cost 263 inf + 3177
149.492 * * [simplify]: Extracting #7: cost 229 inf + 12114
149.496 * * [simplify]: Extracting #8: cost 159 inf + 27189
149.504 * * [simplify]: Extracting #9: cost 107 inf + 46983
149.519 * * [simplify]: Extracting #10: cost 49 inf + 73284
149.561 * * [simplify]: Extracting #11: cost 7 inf + 116694
149.609 * * [simplify]: Extracting #12: cost 0 inf + 124829
149.644 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
149.644 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
149.645 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
149.645 * * [simplify]: iters left: 6 (24 enodes)
149.651 * * [simplify]: iters left: 5 (112 enodes)
149.683 * * [simplify]: iters left: 4 (321 enodes)
149.808 * * [simplify]: Extracting #0: cost 1 inf + 0
149.809 * * [simplify]: Extracting #1: cost 3 inf + 0
149.809 * * [simplify]: Extracting #2: cost 33 inf + 0
149.809 * * [simplify]: Extracting #3: cost 142 inf + 0
149.811 * * [simplify]: Extracting #4: cost 244 inf + 290
149.813 * * [simplify]: Extracting #5: cost 302 inf + 2043
149.825 * * [simplify]: Extracting #6: cost 174 inf + 38037
149.869 * * [simplify]: Extracting #7: cost 15 inf + 101413
149.914 * * [simplify]: Extracting #8: cost 0 inf + 107776
149.945 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
149.945 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))))
149.946 * * * * [progress]: [ 121 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
149.946 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
149.946 * * [simplify]: iters left: 6 (47 enodes)
149.968 * * [simplify]: iters left: 5 (227 enodes)
150.040 * * [simplify]: Extracting #0: cost 1 inf + 0
150.040 * * [simplify]: Extracting #1: cost 3 inf + 0
150.040 * * [simplify]: Extracting #2: cost 10 inf + 0
150.040 * * [simplify]: Extracting #3: cost 65 inf + 0
150.041 * * [simplify]: Extracting #4: cost 116 inf + 86
150.042 * * [simplify]: Extracting #5: cost 150 inf + 1432
150.044 * * [simplify]: Extracting #6: cost 234 inf + 2976
150.048 * * [simplify]: Extracting #7: cost 226 inf + 5502
150.060 * * [simplify]: Extracting #8: cost 122 inf + 32099
150.082 * * [simplify]: Extracting #9: cost 58 inf + 59412
150.114 * * [simplify]: Extracting #10: cost 7 inf + 96679
150.135 * * [simplify]: Extracting #11: cost 1 inf + 101843
150.167 * * [simplify]: Extracting #12: cost 0 inf + 103628
150.188 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))
150.189 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
150.189 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
150.189 * * [simplify]: iters left: 6 (20 enodes)
150.199 * * [simplify]: iters left: 5 (94 enodes)
150.230 * * [simplify]: iters left: 4 (264 enodes)
150.342 * * [simplify]: Extracting #0: cost 1 inf + 0
150.342 * * [simplify]: Extracting #1: cost 3 inf + 0
150.343 * * [simplify]: Extracting #2: cost 23 inf + 0
150.343 * * [simplify]: Extracting #3: cost 69 inf + 0
150.343 * * [simplify]: Extracting #4: cost 136 inf + 2
150.344 * * [simplify]: Extracting #5: cost 206 inf + 88
150.347 * * [simplify]: Extracting #6: cost 124 inf + 18280
150.365 * * [simplify]: Extracting #7: cost 10 inf + 50709
150.391 * * [simplify]: Extracting #8: cost 0 inf + 54696
150.417 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2)))))
150.417 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))))))))
150.418 * * * * [progress]: [ 122 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
150.419 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
150.420 * * [simplify]: iters left: 6 (52 enodes)
150.439 * * [simplify]: iters left: 5 (255 enodes)
150.521 * * [simplify]: Extracting #0: cost 1 inf + 0
150.521 * * [simplify]: Extracting #1: cost 3 inf + 0
150.521 * * [simplify]: Extracting #2: cost 6 inf + 0
150.522 * * [simplify]: Extracting #3: cost 56 inf + 0
150.522 * * [simplify]: Extracting #4: cost 130 inf + 0
150.522 * * [simplify]: Extracting #5: cost 214 inf + 0
150.523 * * [simplify]: Extracting #6: cost 311 inf + 722
150.525 * * [simplify]: Extracting #7: cost 277 inf + 5990
150.530 * * [simplify]: Extracting #8: cost 158 inf + 33737
150.542 * * [simplify]: Extracting #9: cost 80 inf + 56944
150.556 * * [simplify]: Extracting #10: cost 42 inf + 82980
150.579 * * [simplify]: Extracting #11: cost 7 inf + 123630
150.614 * * [simplify]: Extracting #12: cost 1 inf + 132580
150.642 * * [simplify]: Extracting #13: cost 0 inf + 134685
150.677 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
150.677 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
150.678 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
150.678 * * [simplify]: iters left: 6 (25 enodes)
150.687 * * [simplify]: iters left: 5 (117 enodes)
150.719 * * [simplify]: iters left: 4 (379 enodes)
151.026 * * [simplify]: Extracting #0: cost 1 inf + 0
151.026 * * [simplify]: Extracting #1: cost 3 inf + 0
151.026 * * [simplify]: Extracting #2: cost 44 inf + 0
151.028 * * [simplify]: Extracting #3: cost 310 inf + 0
151.031 * * [simplify]: Extracting #4: cost 508 inf + 126
151.038 * * [simplify]: Extracting #5: cost 517 inf + 11851
151.067 * * [simplify]: Extracting #6: cost 246 inf + 123576
151.155 * * [simplify]: Extracting #7: cost 8 inf + 242909
151.231 * * [simplify]: Extracting #8: cost 0 inf + 236615
151.325 * * [simplify]: Extracting #9: cost 0 inf + 236215
151.405 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))
151.405 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))))
151.407 * * * * [progress]: [ 123 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
151.407 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
151.408 * * [simplify]: iters left: 6 (53 enodes)
151.425 * * [simplify]: iters left: 5 (264 enodes)
151.500 * * [simplify]: Extracting #0: cost 1 inf + 0
151.500 * * [simplify]: Extracting #1: cost 3 inf + 0
151.500 * * [simplify]: Extracting #2: cost 6 inf + 0
151.501 * * [simplify]: Extracting #3: cost 60 inf + 0
151.501 * * [simplify]: Extracting #4: cost 153 inf + 0
151.507 * * [simplify]: Extracting #5: cost 228 inf + 44
151.508 * * [simplify]: Extracting #6: cost 293 inf + 3793
151.512 * * [simplify]: Extracting #7: cost 261 inf + 10008
151.520 * * [simplify]: Extracting #8: cost 193 inf + 21976
151.534 * * [simplify]: Extracting #9: cost 118 inf + 45959
151.570 * * [simplify]: Extracting #10: cost 33 inf + 102034
151.615 * * [simplify]: Extracting #11: cost 1 inf + 132557
151.648 * * [simplify]: Extracting #12: cost 0 inf + 134662
151.702 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
151.702 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
151.703 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
151.704 * * [simplify]: iters left: 6 (26 enodes)
151.716 * * [simplify]: iters left: 5 (121 enodes)
151.762 * * [simplify]: iters left: 4 (376 enodes)
152.030 * * [simplify]: Extracting #0: cost 1 inf + 0
152.030 * * [simplify]: Extracting #1: cost 3 inf + 0
152.030 * * [simplify]: Extracting #2: cost 67 inf + 0
152.032 * * [simplify]: Extracting #3: cost 320 inf + 0
152.035 * * [simplify]: Extracting #4: cost 446 inf + 412
152.042 * * [simplify]: Extracting #5: cost 476 inf + 8136
152.073 * * [simplify]: Extracting #6: cost 250 inf + 112869
152.144 * * [simplify]: Extracting #7: cost 13 inf + 215053
152.214 * * [simplify]: Extracting #8: cost 0 inf + 211535
152.291 * * [simplify]: Extracting #9: cost 0 inf + 210695
152.372 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))))
152.372 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)))))))
152.372 * * * * [progress]: [ 124 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
152.373 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
152.373 * * [simplify]: iters left: 6 (53 enodes)
152.388 * * [simplify]: iters left: 5 (264 enodes)
152.466 * * [simplify]: Extracting #0: cost 1 inf + 0
152.466 * * [simplify]: Extracting #1: cost 3 inf + 0
152.466 * * [simplify]: Extracting #2: cost 6 inf + 0
152.466 * * [simplify]: Extracting #3: cost 62 inf + 0
152.466 * * [simplify]: Extracting #4: cost 151 inf + 0
152.467 * * [simplify]: Extracting #5: cost 224 inf + 44
152.468 * * [simplify]: Extracting #6: cost 290 inf + 3951
152.472 * * [simplify]: Extracting #7: cost 258 inf + 11389
152.480 * * [simplify]: Extracting #8: cost 178 inf + 26982
152.500 * * [simplify]: Extracting #9: cost 69 inf + 70134
152.524 * * [simplify]: Extracting #10: cost 20 inf + 110337
152.569 * * [simplify]: Extracting #11: cost 0 inf + 135254
152.604 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)))) (* (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
152.604 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)))) (* (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
152.605 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
152.605 * * [simplify]: iters left: 6 (26 enodes)
152.613 * * [simplify]: iters left: 5 (121 enodes)
152.664 * * [simplify]: iters left: 4 (374 enodes)
152.887 * * [simplify]: Extracting #0: cost 1 inf + 0
152.887 * * [simplify]: Extracting #1: cost 3 inf + 0
152.887 * * [simplify]: Extracting #2: cost 61 inf + 0
152.888 * * [simplify]: Extracting #3: cost 304 inf + 0
152.890 * * [simplify]: Extracting #4: cost 409 inf + 860
152.893 * * [simplify]: Extracting #5: cost 441 inf + 7302
152.910 * * [simplify]: Extracting #6: cost 237 inf + 90120
152.964 * * [simplify]: Extracting #7: cost 10 inf + 198382
153.032 * * [simplify]: Extracting #8: cost 0 inf + 191774
153.082 * * [simplify]: Extracting #9: cost 0 inf + 191254
153.149 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
153.150 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
153.151 * * * * [progress]: [ 125 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
153.151 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
153.152 * * [simplify]: iters left: 6 (47 enodes)
153.167 * * [simplify]: iters left: 5 (228 enodes)
153.218 * * [simplify]: Extracting #0: cost 1 inf + 0
153.219 * * [simplify]: Extracting #1: cost 3 inf + 0
153.219 * * [simplify]: Extracting #2: cost 6 inf + 0
153.219 * * [simplify]: Extracting #3: cost 54 inf + 0
153.219 * * [simplify]: Extracting #4: cost 119 inf + 0
153.219 * * [simplify]: Extracting #5: cost 172 inf + 44
153.220 * * [simplify]: Extracting #6: cost 252 inf + 1355
153.222 * * [simplify]: Extracting #7: cost 244 inf + 3508
153.226 * * [simplify]: Extracting #8: cost 135 inf + 28504
153.236 * * [simplify]: Extracting #9: cost 67 inf + 55683
153.268 * * [simplify]: Extracting #10: cost 11 inf + 98605
153.309 * * [simplify]: Extracting #11: cost 1 inf + 107448
153.352 * * [simplify]: Extracting #12: cost 0 inf + 109153
153.395 * * [simplify]: Extracting #13: cost 0 inf + 109113
153.423 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))
153.423 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
153.424 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
153.424 * * [simplify]: iters left: 6 (21 enodes)
153.429 * * [simplify]: iters left: 5 (99 enodes)
153.464 * * [simplify]: iters left: 4 (304 enodes)
153.629 * * [simplify]: Extracting #0: cost 1 inf + 0
153.629 * * [simplify]: Extracting #1: cost 3 inf + 0
153.630 * * [simplify]: Extracting #2: cost 35 inf + 0
153.630 * * [simplify]: Extracting #3: cost 157 inf + 0
153.632 * * [simplify]: Extracting #4: cost 243 inf + 85
153.635 * * [simplify]: Extracting #5: cost 306 inf + 1308
153.649 * * [simplify]: Extracting #6: cost 204 inf + 29712
153.689 * * [simplify]: Extracting #7: cost 30 inf + 93637
153.739 * * [simplify]: Extracting #8: cost 0 inf + 101085
153.789 * * [simplify]: Extracting #9: cost 0 inf + 98765
153.841 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ phi1 phi2) (+ phi1 phi2))))
153.841 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
153.842 * * * * [progress]: [ 126 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
153.843 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
153.843 * * [simplify]: iters left: 6 (52 enodes)
153.869 * * [simplify]: iters left: 5 (256 enodes)
153.980 * * [simplify]: Extracting #0: cost 1 inf + 0
153.980 * * [simplify]: Extracting #1: cost 3 inf + 0
153.980 * * [simplify]: Extracting #2: cost 10 inf + 0
153.980 * * [simplify]: Extracting #3: cost 74 inf + 0
153.981 * * [simplify]: Extracting #4: cost 136 inf + 42
153.982 * * [simplify]: Extracting #5: cost 195 inf + 165
153.984 * * [simplify]: Extracting #6: cost 273 inf + 3048
153.988 * * [simplify]: Extracting #7: cost 249 inf + 8862
153.995 * * [simplify]: Extracting #8: cost 168 inf + 26483
154.008 * * [simplify]: Extracting #9: cost 111 inf + 43401
154.030 * * [simplify]: Extracting #10: cost 54 inf + 70256
154.069 * * [simplify]: Extracting #11: cost 13 inf + 112239
154.118 * * [simplify]: Extracting #12: cost 1 inf + 124819
154.171 * * [simplify]: Extracting #13: cost 0 inf + 126884
154.216 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))))
154.216 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
154.217 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
154.217 * * [simplify]: iters left: 6 (24 enodes)
154.223 * * [simplify]: iters left: 5 (112 enodes)
154.244 * * [simplify]: iters left: 4 (321 enodes)
154.387 * * [simplify]: Extracting #0: cost 1 inf + 0
154.388 * * [simplify]: Extracting #1: cost 3 inf + 0
154.388 * * [simplify]: Extracting #2: cost 33 inf + 0
154.388 * * [simplify]: Extracting #3: cost 142 inf + 0
154.390 * * [simplify]: Extracting #4: cost 248 inf + 290
154.393 * * [simplify]: Extracting #5: cost 315 inf + 1066
154.403 * * [simplify]: Extracting #6: cost 220 inf + 31306
154.450 * * [simplify]: Extracting #7: cost 25 inf + 107739
154.513 * * [simplify]: Extracting #8: cost 0 inf + 111776
154.569 * * [simplify]: Extracting #9: cost 0 inf + 110256
154.625 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))
154.625 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))))
154.626 * * * * [progress]: [ 127 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
154.627 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
154.627 * * [simplify]: iters left: 6 (47 enodes)
154.652 * * [simplify]: iters left: 5 (228 enodes)
154.744 * * [simplify]: Extracting #0: cost 1 inf + 0
154.744 * * [simplify]: Extracting #1: cost 3 inf + 0
154.744 * * [simplify]: Extracting #2: cost 10 inf + 0
154.744 * * [simplify]: Extracting #3: cost 66 inf + 0
154.745 * * [simplify]: Extracting #4: cost 117 inf + 44
154.746 * * [simplify]: Extracting #5: cost 157 inf + 1266
154.748 * * [simplify]: Extracting #6: cost 241 inf + 2972
154.751 * * [simplify]: Extracting #7: cost 235 inf + 4520
154.756 * * [simplify]: Extracting #8: cost 164 inf + 16864
154.768 * * [simplify]: Extracting #9: cost 102 inf + 40149
154.788 * * [simplify]: Extracting #10: cost 45 inf + 63306
154.818 * * [simplify]: Extracting #11: cost 14 inf + 90373
154.861 * * [simplify]: Extracting #12: cost 1 inf + 104818
154.893 * * [simplify]: Extracting #13: cost 0 inf + 106523
154.920 * * [simplify]: Extracting #14: cost 0 inf + 106403
154.962 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))
154.962 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
154.963 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
154.963 * * [simplify]: iters left: 6 (20 enodes)
154.972 * * [simplify]: iters left: 5 (94 enodes)
155.009 * * [simplify]: iters left: 4 (264 enodes)
155.128 * * [simplify]: Extracting #0: cost 1 inf + 0
155.128 * * [simplify]: Extracting #1: cost 3 inf + 0
155.128 * * [simplify]: Extracting #2: cost 23 inf + 0
155.128 * * [simplify]: Extracting #3: cost 69 inf + 0
155.128 * * [simplify]: Extracting #4: cost 140 inf + 2
155.129 * * [simplify]: Extracting #5: cost 215 inf + 44
155.133 * * [simplify]: Extracting #6: cost 124 inf + 20438
155.147 * * [simplify]: Extracting #7: cost 13 inf + 54742
155.163 * * [simplify]: Extracting #8: cost 0 inf + 56896
155.190 * * [simplify]: Extracting #9: cost 0 inf + 56176
155.219 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))
155.219 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))))
155.220 * * * * [progress]: [ 128 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
155.221 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
155.221 * * [simplify]: iters left: 6 (52 enodes)
155.246 * * [simplify]: iters left: 5 (256 enodes)
155.328 * * [simplify]: Extracting #0: cost 1 inf + 0
155.328 * * [simplify]: Extracting #1: cost 3 inf + 0
155.328 * * [simplify]: Extracting #2: cost 10 inf + 0
155.328 * * [simplify]: Extracting #3: cost 74 inf + 0
155.328 * * [simplify]: Extracting #4: cost 137 inf + 1
155.329 * * [simplify]: Extracting #5: cost 195 inf + 165
155.330 * * [simplify]: Extracting #6: cost 271 inf + 3571
155.332 * * [simplify]: Extracting #7: cost 247 inf + 9185
155.336 * * [simplify]: Extracting #8: cost 170 inf + 26119
155.342 * * [simplify]: Extracting #9: cost 111 inf + 43622
155.354 * * [simplify]: Extracting #10: cost 54 inf + 71056
155.387 * * [simplify]: Extracting #11: cost 11 inf + 116209
155.439 * * [simplify]: Extracting #12: cost 0 inf + 127844
155.498 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))))
155.498 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
155.500 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
155.500 * * [simplify]: iters left: 6 (24 enodes)
155.511 * * [simplify]: iters left: 5 (112 enodes)
155.557 * * [simplify]: iters left: 4 (321 enodes)
155.717 * * [simplify]: Extracting #0: cost 1 inf + 0
155.717 * * [simplify]: Extracting #1: cost 3 inf + 0
155.717 * * [simplify]: Extracting #2: cost 33 inf + 0
155.718 * * [simplify]: Extracting #3: cost 142 inf + 0
155.719 * * [simplify]: Extracting #4: cost 248 inf + 290
155.720 * * [simplify]: Extracting #5: cost 315 inf + 1066
155.726 * * [simplify]: Extracting #6: cost 220 inf + 31306
155.773 * * [simplify]: Extracting #7: cost 25 inf + 107739
155.812 * * [simplify]: Extracting #8: cost 0 inf + 111776
155.845 * * [simplify]: Extracting #9: cost 0 inf + 110256
155.887 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))
155.887 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))))
155.888 * * * * [progress]: [ 129 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
155.889 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
155.889 * * [simplify]: iters left: 6 (47 enodes)
155.919 * * [simplify]: iters left: 5 (228 enodes)
155.984 * * [simplify]: Extracting #0: cost 1 inf + 0
155.984 * * [simplify]: Extracting #1: cost 3 inf + 0
155.984 * * [simplify]: Extracting #2: cost 10 inf + 0
155.984 * * [simplify]: Extracting #3: cost 65 inf + 0
155.984 * * [simplify]: Extracting #4: cost 116 inf + 86
155.985 * * [simplify]: Extracting #5: cost 151 inf + 1958
155.986 * * [simplify]: Extracting #6: cost 241 inf + 2932
155.987 * * [simplify]: Extracting #7: cost 238 inf + 3875
155.990 * * [simplify]: Extracting #8: cost 163 inf + 16865
155.996 * * [simplify]: Extracting #9: cost 99 inf + 41857
156.008 * * [simplify]: Extracting #10: cost 40 inf + 67043
156.038 * * [simplify]: Extracting #11: cost 14 inf + 90773
156.069 * * [simplify]: Extracting #12: cost 1 inf + 105218
156.101 * * [simplify]: Extracting #13: cost 0 inf + 106923
156.144 * * [simplify]: Extracting #14: cost 0 inf + 106803
156.174 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))
156.174 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
156.175 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
156.175 * * [simplify]: iters left: 6 (20 enodes)
156.180 * * [simplify]: iters left: 5 (94 enodes)
156.201 * * [simplify]: iters left: 4 (264 enodes)
156.304 * * [simplify]: Extracting #0: cost 1 inf + 0
156.305 * * [simplify]: Extracting #1: cost 3 inf + 0
156.305 * * [simplify]: Extracting #2: cost 23 inf + 0
156.305 * * [simplify]: Extracting #3: cost 69 inf + 0
156.305 * * [simplify]: Extracting #4: cost 140 inf + 2
156.306 * * [simplify]: Extracting #5: cost 215 inf + 44
156.310 * * [simplify]: Extracting #6: cost 124 inf + 20438
156.332 * * [simplify]: Extracting #7: cost 13 inf + 54742
156.363 * * [simplify]: Extracting #8: cost 0 inf + 56896
156.393 * * [simplify]: Extracting #9: cost 0 inf + 56176
156.409 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))
156.409 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))))
156.409 * * * * [progress]: [ 130 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
156.410 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
156.410 * * [simplify]: iters left: 6 (52 enodes)
156.430 * * [simplify]: iters left: 5 (255 enodes)
156.492 * * [simplify]: Extracting #0: cost 1 inf + 0
156.492 * * [simplify]: Extracting #1: cost 3 inf + 0
156.492 * * [simplify]: Extracting #2: cost 6 inf + 0
156.493 * * [simplify]: Extracting #3: cost 56 inf + 0
156.493 * * [simplify]: Extracting #4: cost 130 inf + 0
156.493 * * [simplify]: Extracting #5: cost 210 inf + 0
156.494 * * [simplify]: Extracting #6: cost 302 inf + 931
156.496 * * [simplify]: Extracting #7: cost 260 inf + 8578
156.505 * * [simplify]: Extracting #8: cost 146 inf + 34723
156.518 * * [simplify]: Extracting #9: cost 78 inf + 57402
156.553 * * [simplify]: Extracting #10: cost 19 inf + 108921
156.579 * * [simplify]: Extracting #11: cost 1 inf + 130485
156.619 * * [simplify]: Extracting #12: cost 0 inf + 132590
156.646 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))))
156.647 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
156.647 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
156.648 * * [simplify]: iters left: 6 (25 enodes)
156.654 * * [simplify]: iters left: 5 (117 enodes)
156.699 * * [simplify]: iters left: 4 (379 enodes)
156.913 * * [simplify]: Extracting #0: cost 1 inf + 0
156.913 * * [simplify]: Extracting #1: cost 3 inf + 0
156.913 * * [simplify]: Extracting #2: cost 44 inf + 0
156.914 * * [simplify]: Extracting #3: cost 310 inf + 0
156.917 * * [simplify]: Extracting #4: cost 504 inf + 126
156.926 * * [simplify]: Extracting #5: cost 481 inf + 19268
156.951 * * [simplify]: Extracting #6: cost 216 inf + 125782
157.022 * * [simplify]: Extracting #7: cost 4 inf + 226165
157.089 * * [simplify]: Extracting #8: cost 0 inf + 227775
157.185 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))
157.185 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))))
157.186 * * * * [progress]: [ 131 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
157.187 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
157.187 * * [simplify]: iters left: 6 (53 enodes)
157.210 * * [simplify]: iters left: 5 (264 enodes)
157.273 * * [simplify]: Extracting #0: cost 1 inf + 0
157.273 * * [simplify]: Extracting #1: cost 3 inf + 0
157.273 * * [simplify]: Extracting #2: cost 6 inf + 0
157.273 * * [simplify]: Extracting #3: cost 60 inf + 0
157.273 * * [simplify]: Extracting #4: cost 153 inf + 0
157.275 * * [simplify]: Extracting #5: cost 224 inf + 44
157.277 * * [simplify]: Extracting #6: cost 286 inf + 3837
157.282 * * [simplify]: Extracting #7: cost 235 inf + 14277
157.291 * * [simplify]: Extracting #8: cost 174 inf + 27986
157.307 * * [simplify]: Extracting #9: cost 113 inf + 47292
157.324 * * [simplify]: Extracting #10: cost 47 inf + 83324
157.355 * * [simplify]: Extracting #11: cost 11 inf + 120812
157.412 * * [simplify]: Extracting #12: cost 0 inf + 135167
157.445 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
157.445 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
157.446 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
157.446 * * [simplify]: iters left: 6 (26 enodes)
157.452 * * [simplify]: iters left: 5 (121 enodes)
157.492 * * [simplify]: iters left: 4 (376 enodes)
157.719 * * [simplify]: Extracting #0: cost 1 inf + 0
157.719 * * [simplify]: Extracting #1: cost 3 inf + 0
157.720 * * [simplify]: Extracting #2: cost 67 inf + 0
157.720 * * [simplify]: Extracting #3: cost 320 inf + 0
157.722 * * [simplify]: Extracting #4: cost 442 inf + 412
157.726 * * [simplify]: Extracting #5: cost 437 inf + 16006
157.748 * * [simplify]: Extracting #6: cost 213 inf + 109881
157.810 * * [simplify]: Extracting #7: cost 6 inf + 201281
157.885 * * [simplify]: Extracting #8: cost 0 inf + 202695
157.952 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))))
157.952 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)))))))
157.953 * * * * [progress]: [ 132 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
157.953 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
157.954 * * [simplify]: iters left: 6 (53 enodes)
157.967 * * [simplify]: iters left: 5 (264 enodes)
158.075 * * [simplify]: Extracting #0: cost 1 inf + 0
158.075 * * [simplify]: Extracting #1: cost 3 inf + 0
158.075 * * [simplify]: Extracting #2: cost 6 inf + 0
158.075 * * [simplify]: Extracting #3: cost 62 inf + 0
158.076 * * [simplify]: Extracting #4: cost 151 inf + 0
158.077 * * [simplify]: Extracting #5: cost 220 inf + 44
158.080 * * [simplify]: Extracting #6: cost 278 inf + 4686
158.086 * * [simplify]: Extracting #7: cost 227 inf + 17383
158.095 * * [simplify]: Extracting #8: cost 162 inf + 30067
158.114 * * [simplify]: Extracting #9: cost 78 inf + 60410
158.143 * * [simplify]: Extracting #10: cost 40 inf + 83902
158.189 * * [simplify]: Extracting #11: cost 11 inf + 115724
158.220 * * [simplify]: Extracting #12: cost 0 inf + 131599
158.259 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
158.259 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
158.260 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
158.261 * * [simplify]: iters left: 6 (26 enodes)
158.273 * * [simplify]: iters left: 5 (121 enodes)
158.317 * * [simplify]: iters left: 4 (374 enodes)
158.532 * * [simplify]: Extracting #0: cost 1 inf + 0
158.532 * * [simplify]: Extracting #1: cost 3 inf + 0
158.532 * * [simplify]: Extracting #2: cost 61 inf + 0
158.533 * * [simplify]: Extracting #3: cost 304 inf + 0
158.534 * * [simplify]: Extracting #4: cost 405 inf + 860
158.538 * * [simplify]: Extracting #5: cost 412 inf + 11494
158.564 * * [simplify]: Extracting #6: cost 195 inf + 96884
158.609 * * [simplify]: Extracting #7: cost 4 inf + 182086
158.691 * * [simplify]: Extracting #8: cost 0 inf + 182894
158.747 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
158.747 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
158.748 * * * * [progress]: [ 133 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
158.748 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
158.749 * * [simplify]: iters left: 6 (47 enodes)
158.761 * * [simplify]: iters left: 5 (228 enodes)
158.843 * * [simplify]: Extracting #0: cost 1 inf + 0
158.843 * * [simplify]: Extracting #1: cost 3 inf + 0
158.843 * * [simplify]: Extracting #2: cost 6 inf + 0
158.844 * * [simplify]: Extracting #3: cost 54 inf + 0
158.848 * * [simplify]: Extracting #4: cost 119 inf + 0
158.849 * * [simplify]: Extracting #5: cost 168 inf + 44
158.850 * * [simplify]: Extracting #6: cost 246 inf + 1357
158.853 * * [simplify]: Extracting #7: cost 214 inf + 7293
158.862 * * [simplify]: Extracting #8: cost 129 inf + 29743
158.881 * * [simplify]: Extracting #9: cost 65 inf + 53897
158.913 * * [simplify]: Extracting #10: cost 13 inf + 94060
158.948 * * [simplify]: Extracting #11: cost 1 inf + 106513
158.973 * * [simplify]: Extracting #12: cost 0 inf + 108378
159.018 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))
159.018 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
159.019 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))
159.019 * * [simplify]: iters left: 6 (21 enodes)
159.029 * * [simplify]: iters left: 5 (99 enodes)
159.067 * * [simplify]: iters left: 4 (304 enodes)
159.241 * * [simplify]: Extracting #0: cost 1 inf + 0
159.241 * * [simplify]: Extracting #1: cost 3 inf + 0
159.242 * * [simplify]: Extracting #2: cost 35 inf + 0
159.242 * * [simplify]: Extracting #3: cost 157 inf + 0
159.243 * * [simplify]: Extracting #4: cost 239 inf + 85
159.244 * * [simplify]: Extracting #5: cost 288 inf + 2980
159.250 * * [simplify]: Extracting #6: cost 180 inf + 31987
159.277 * * [simplify]: Extracting #7: cost 17 inf + 89316
159.323 * * [simplify]: Extracting #8: cost 0 inf + 96965
159.350 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
159.350 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
159.351 * * * * [progress]: [ 134 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
159.351 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
159.352 * * [simplify]: iters left: 6 (52 enodes)
159.366 * * [simplify]: iters left: 5 (256 enodes)
159.442 * * [simplify]: Extracting #0: cost 1 inf + 0
159.442 * * [simplify]: Extracting #1: cost 3 inf + 0
159.442 * * [simplify]: Extracting #2: cost 10 inf + 0
159.443 * * [simplify]: Extracting #3: cost 74 inf + 0
159.443 * * [simplify]: Extracting #4: cost 136 inf + 42
159.444 * * [simplify]: Extracting #5: cost 190 inf + 207
159.446 * * [simplify]: Extracting #6: cost 261 inf + 3784
159.451 * * [simplify]: Extracting #7: cost 222 inf + 14471
159.463 * * [simplify]: Extracting #8: cost 163 inf + 25977
159.475 * * [simplify]: Extracting #9: cost 110 inf + 43470
159.486 * * [simplify]: Extracting #10: cost 56 inf + 67991
159.506 * * [simplify]: Extracting #11: cost 13 inf + 110424
159.547 * * [simplify]: Extracting #12: cost 1 inf + 123124
159.598 * * [simplify]: Extracting #13: cost 0 inf + 125229
159.651 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))))))))
159.651 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
159.652 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
159.653 * * [simplify]: iters left: 6 (24 enodes)
159.661 * * [simplify]: iters left: 5 (112 enodes)
159.682 * * [simplify]: iters left: 4 (321 enodes)
159.806 * * [simplify]: Extracting #0: cost 1 inf + 0
159.806 * * [simplify]: Extracting #1: cost 3 inf + 0
159.806 * * [simplify]: Extracting #2: cost 33 inf + 0
159.807 * * [simplify]: Extracting #3: cost 142 inf + 0
159.809 * * [simplify]: Extracting #4: cost 244 inf + 290
159.812 * * [simplify]: Extracting #5: cost 302 inf + 2043
159.825 * * [simplify]: Extracting #6: cost 174 inf + 38037
159.864 * * [simplify]: Extracting #7: cost 15 inf + 101413
159.892 * * [simplify]: Extracting #8: cost 0 inf + 107776
159.934 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
159.934 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))))))) (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))))
159.935 * * * * [progress]: [ 135 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
159.935 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
159.936 * * [simplify]: iters left: 6 (47 enodes)
159.948 * * [simplify]: iters left: 5 (228 enodes)
160.015 * * [simplify]: Extracting #0: cost 1 inf + 0
160.015 * * [simplify]: Extracting #1: cost 3 inf + 0
160.015 * * [simplify]: Extracting #2: cost 10 inf + 0
160.015 * * [simplify]: Extracting #3: cost 66 inf + 0
160.016 * * [simplify]: Extracting #4: cost 117 inf + 44
160.017 * * [simplify]: Extracting #5: cost 152 inf + 1388
160.019 * * [simplify]: Extracting #6: cost 234 inf + 3016
160.022 * * [simplify]: Extracting #7: cost 224 inf + 5908
160.028 * * [simplify]: Extracting #8: cost 158 inf + 20046
160.042 * * [simplify]: Extracting #9: cost 97 inf + 44205
160.064 * * [simplify]: Extracting #10: cost 39 inf + 66253
160.083 * * [simplify]: Extracting #11: cost 13 inf + 89743
160.106 * * [simplify]: Extracting #12: cost 1 inf + 103283
160.128 * * [simplify]: Extracting #13: cost 0 inf + 105028
160.153 * * [simplify]: Extracting #14: cost 0 inf + 104908
160.183 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))
160.183 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
160.184 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
160.185 * * [simplify]: iters left: 6 (20 enodes)
160.194 * * [simplify]: iters left: 5 (94 enodes)
160.228 * * [simplify]: iters left: 4 (264 enodes)
160.321 * * [simplify]: Extracting #0: cost 1 inf + 0
160.321 * * [simplify]: Extracting #1: cost 3 inf + 0
160.321 * * [simplify]: Extracting #2: cost 23 inf + 0
160.321 * * [simplify]: Extracting #3: cost 69 inf + 0
160.321 * * [simplify]: Extracting #4: cost 136 inf + 2
160.323 * * [simplify]: Extracting #5: cost 206 inf + 88
160.330 * * [simplify]: Extracting #6: cost 124 inf + 18280
160.352 * * [simplify]: Extracting #7: cost 10 inf + 50709
160.366 * * [simplify]: Extracting #8: cost 0 inf + 54696
160.380 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2)))))
160.380 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))))))))
160.381 * * * * [progress]: [ 136 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
160.381 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
160.381 * * [simplify]: iters left: 6 (52 enodes)
160.407 * * [simplify]: iters left: 5 (256 enodes)
160.469 * * [simplify]: Extracting #0: cost 1 inf + 0
160.469 * * [simplify]: Extracting #1: cost 3 inf + 0
160.469 * * [simplify]: Extracting #2: cost 10 inf + 0
160.469 * * [simplify]: Extracting #3: cost 74 inf + 0
160.469 * * [simplify]: Extracting #4: cost 137 inf + 1
160.470 * * [simplify]: Extracting #5: cost 190 inf + 207
160.471 * * [simplify]: Extracting #6: cost 260 inf + 3863
160.473 * * [simplify]: Extracting #7: cost 222 inf + 14269
160.477 * * [simplify]: Extracting #8: cost 162 inf + 26179
160.486 * * [simplify]: Extracting #9: cost 111 inf + 42807
160.503 * * [simplify]: Extracting #10: cost 55 inf + 69336
160.524 * * [simplify]: Extracting #11: cost 11 inf + 114434
160.575 * * [simplify]: Extracting #12: cost 0 inf + 126189
160.604 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))))))))
160.604 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
160.605 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
160.605 * * [simplify]: iters left: 6 (24 enodes)
160.617 * * [simplify]: iters left: 5 (112 enodes)
160.641 * * [simplify]: iters left: 4 (321 enodes)
160.787 * * [simplify]: Extracting #0: cost 1 inf + 0
160.788 * * [simplify]: Extracting #1: cost 3 inf + 0
160.788 * * [simplify]: Extracting #2: cost 33 inf + 0
160.788 * * [simplify]: Extracting #3: cost 142 inf + 0
160.789 * * [simplify]: Extracting #4: cost 244 inf + 290
160.790 * * [simplify]: Extracting #5: cost 302 inf + 2043
160.797 * * [simplify]: Extracting #6: cost 174 inf + 38037
160.820 * * [simplify]: Extracting #7: cost 15 inf + 101413
160.862 * * [simplify]: Extracting #8: cost 0 inf + 107776
160.891 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
160.891 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))))))) (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))))
160.892 * * * * [progress]: [ 137 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
160.892 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
160.893 * * [simplify]: iters left: 6 (47 enodes)
160.918 * * [simplify]: iters left: 5 (228 enodes)
160.992 * * [simplify]: Extracting #0: cost 1 inf + 0
160.992 * * [simplify]: Extracting #1: cost 3 inf + 0
160.992 * * [simplify]: Extracting #2: cost 10 inf + 0
160.992 * * [simplify]: Extracting #3: cost 65 inf + 0
160.992 * * [simplify]: Extracting #4: cost 116 inf + 86
160.993 * * [simplify]: Extracting #5: cost 148 inf + 1796
160.994 * * [simplify]: Extracting #6: cost 234 inf + 2976
160.996 * * [simplify]: Extracting #7: cost 228 inf + 5301
161.000 * * [simplify]: Extracting #8: cost 153 inf + 20895
161.008 * * [simplify]: Extracting #9: cost 98 inf + 43262
161.020 * * [simplify]: Extracting #10: cost 40 inf + 66601
161.035 * * [simplify]: Extracting #11: cost 13 inf + 90143
161.059 * * [simplify]: Extracting #12: cost 1 inf + 103683
161.088 * * [simplify]: Extracting #13: cost 0 inf + 105428
161.130 * * [simplify]: Extracting #14: cost 0 inf + 105308
161.171 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))
161.172 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
161.173 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
161.173 * * [simplify]: iters left: 6 (20 enodes)
161.183 * * [simplify]: iters left: 5 (94 enodes)
161.216 * * [simplify]: iters left: 4 (264 enodes)
161.350 * * [simplify]: Extracting #0: cost 1 inf + 0
161.350 * * [simplify]: Extracting #1: cost 3 inf + 0
161.350 * * [simplify]: Extracting #2: cost 23 inf + 0
161.351 * * [simplify]: Extracting #3: cost 69 inf + 0
161.351 * * [simplify]: Extracting #4: cost 136 inf + 2
161.353 * * [simplify]: Extracting #5: cost 206 inf + 88
161.360 * * [simplify]: Extracting #6: cost 124 inf + 18280
161.383 * * [simplify]: Extracting #7: cost 10 inf + 50709
161.412 * * [simplify]: Extracting #8: cost 0 inf + 54696
161.441 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2)))))
161.441 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))))))))
161.442 * * * * [progress]: [ 138 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
161.443 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
161.443 * * [simplify]: iters left: 6 (47 enodes)
161.468 * * [simplify]: iters left: 5 (228 enodes)
161.564 * * [simplify]: Extracting #0: cost 1 inf + 0
161.565 * * [simplify]: Extracting #1: cost 3 inf + 0
161.565 * * [simplify]: Extracting #2: cost 6 inf + 0
161.565 * * [simplify]: Extracting #3: cost 48 inf + 0
161.565 * * [simplify]: Extracting #4: cost 112 inf + 0
161.566 * * [simplify]: Extracting #5: cost 185 inf + 0
161.567 * * [simplify]: Extracting #6: cost 262 inf + 803
161.570 * * [simplify]: Extracting #7: cost 231 inf + 9835
161.578 * * [simplify]: Extracting #8: cost 136 inf + 30754
161.591 * * [simplify]: Extracting #9: cost 55 inf + 58645
161.611 * * [simplify]: Extracting #10: cost 9 inf + 94084
161.646 * * [simplify]: Extracting #11: cost 0 inf + 103968
161.668 * * [simplify]: Extracting #12: cost 0 inf + 103888
161.709 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))
161.709 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
161.711 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
161.711 * * [simplify]: iters left: 6 (24 enodes)
161.722 * * [simplify]: iters left: 5 (112 enodes)
161.749 * * [simplify]: iters left: 4 (361 enodes)
162.010 * * [simplify]: Extracting #0: cost 1 inf + 0
162.011 * * [simplify]: Extracting #1: cost 3 inf + 0
162.011 * * [simplify]: Extracting #2: cost 36 inf + 0
162.011 * * [simplify]: Extracting #3: cost 254 inf + 0
162.013 * * [simplify]: Extracting #4: cost 433 inf + 126
162.016 * * [simplify]: Extracting #5: cost 466 inf + 8187
162.055 * * [simplify]: Extracting #6: cost 210 inf + 107266
162.137 * * [simplify]: Extracting #7: cost 12 inf + 197671
162.214 * * [simplify]: Extracting #8: cost 0 inf + 195956
162.285 * * [simplify]: Extracting #9: cost 0 inf + 194356
162.373 * * [simplify]: Extracting #10: cost 0 inf + 194316
162.448 * [simplify]: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))
162.448 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))))))
162.450 * * * * [progress]: [ 139 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
162.450 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
162.451 * * [simplify]: iters left: 6 (48 enodes)
162.469 * * [simplify]: iters left: 5 (237 enodes)
162.550 * * [simplify]: Extracting #0: cost 1 inf + 0
162.550 * * [simplify]: Extracting #1: cost 3 inf + 0
162.550 * * [simplify]: Extracting #2: cost 6 inf + 0
162.550 * * [simplify]: Extracting #3: cost 52 inf + 0
162.550 * * [simplify]: Extracting #4: cost 135 inf + 0
162.551 * * [simplify]: Extracting #5: cost 194 inf + 412
162.553 * * [simplify]: Extracting #6: cost 231 inf + 6579
162.555 * * [simplify]: Extracting #7: cost 212 inf + 13616
162.561 * * [simplify]: Extracting #8: cost 120 inf + 33350
162.570 * * [simplify]: Extracting #9: cost 65 inf + 53069
162.590 * * [simplify]: Extracting #10: cost 21 inf + 88753
162.633 * * [simplify]: Extracting #11: cost 1 inf + 108560
162.681 * * [simplify]: Extracting #12: cost 0 inf + 110425
162.704 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
162.704 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
162.705 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
162.705 * * [simplify]: iters left: 6 (25 enodes)
162.717 * * [simplify]: iters left: 5 (116 enodes)
162.762 * * [simplify]: iters left: 4 (358 enodes)
162.962 * * [simplify]: Extracting #0: cost 1 inf + 0
162.962 * * [simplify]: Extracting #1: cost 3 inf + 0
162.962 * * [simplify]: Extracting #2: cost 61 inf + 0
162.963 * * [simplify]: Extracting #3: cost 273 inf + 0
162.964 * * [simplify]: Extracting #4: cost 381 inf + 209
162.967 * * [simplify]: Extracting #5: cost 424 inf + 7006
162.991 * * [simplify]: Extracting #6: cost 165 inf + 117755
163.062 * * [simplify]: Extracting #7: cost 1 inf + 184222
163.126 * * [simplify]: Extracting #8: cost 0 inf + 176024
163.174 * [simplify]: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))
163.174 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))))))
163.174 * * * * [progress]: [ 140 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
163.175 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
163.175 * * [simplify]: iters left: 6 (48 enodes)
163.194 * * [simplify]: iters left: 5 (237 enodes)
163.272 * * [simplify]: Extracting #0: cost 1 inf + 0
163.272 * * [simplify]: Extracting #1: cost 3 inf + 0
163.273 * * [simplify]: Extracting #2: cost 6 inf + 0
163.273 * * [simplify]: Extracting #3: cost 54 inf + 0
163.273 * * [simplify]: Extracting #4: cost 133 inf + 0
163.273 * * [simplify]: Extracting #5: cost 190 inf + 332
163.275 * * [simplify]: Extracting #6: cost 233 inf + 5647
163.277 * * [simplify]: Extracting #7: cost 219 inf + 11635
163.282 * * [simplify]: Extracting #8: cost 134 inf + 32077
163.301 * * [simplify]: Extracting #9: cost 53 inf + 62044
163.337 * * [simplify]: Extracting #10: cost 10 inf + 100247
163.377 * * [simplify]: Extracting #11: cost 0 inf + 109617
163.400 * * [simplify]: Extracting #12: cost 0 inf + 109577
163.424 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))
163.424 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
163.425 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
163.425 * * [simplify]: iters left: 6 (25 enodes)
163.431 * * [simplify]: iters left: 5 (116 enodes)
163.471 * * [simplify]: iters left: 4 (356 enodes)
163.715 * * [simplify]: Extracting #0: cost 1 inf + 0
163.715 * * [simplify]: Extracting #1: cost 3 inf + 0
163.715 * * [simplify]: Extracting #2: cost 53 inf + 0
163.716 * * [simplify]: Extracting #3: cost 259 inf + 0
163.719 * * [simplify]: Extracting #4: cost 351 inf + 333
163.724 * * [simplify]: Extracting #5: cost 411 inf + 3627
163.755 * * [simplify]: Extracting #6: cost 246 inf + 72686
163.827 * * [simplify]: Extracting #7: cost 7 inf + 168595
163.895 * * [simplify]: Extracting #8: cost 0 inf + 161053
163.953 * * [simplify]: Extracting #9: cost 0 inf + 160973
164.007 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
164.007 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))))
164.008 * * * * [progress]: [ 141 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
164.009 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
164.009 * * [simplify]: iters left: 6 (42 enodes)
164.032 * * [simplify]: iters left: 5 (202 enodes)
164.111 * * [simplify]: Extracting #0: cost 1 inf + 0
164.111 * * [simplify]: Extracting #1: cost 3 inf + 0
164.111 * * [simplify]: Extracting #2: cost 6 inf + 0
164.111 * * [simplify]: Extracting #3: cost 46 inf + 0
164.111 * * [simplify]: Extracting #4: cost 101 inf + 0
164.111 * * [simplify]: Extracting #5: cost 143 inf + 44
164.112 * * [simplify]: Extracting #6: cost 205 inf + 1354
164.113 * * [simplify]: Extracting #7: cost 206 inf + 3101
164.116 * * [simplify]: Extracting #8: cost 135 inf + 18608
164.124 * * [simplify]: Extracting #9: cost 62 inf + 44249
164.155 * * [simplify]: Extracting #10: cost 12 inf + 82393
164.191 * * [simplify]: Extracting #11: cost 0 inf + 87676
164.228 * * [simplify]: Extracting #12: cost 0 inf + 86476
164.270 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
164.270 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
164.272 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))
164.272 * * [simplify]: iters left: 6 (20 enodes)
164.282 * * [simplify]: iters left: 5 (94 enodes)
164.311 * * [simplify]: iters left: 4 (286 enodes)
164.436 * * [simplify]: Extracting #0: cost 1 inf + 0
164.436 * * [simplify]: Extracting #1: cost 3 inf + 0
164.437 * * [simplify]: Extracting #2: cost 28 inf + 0
164.437 * * [simplify]: Extracting #3: cost 128 inf + 0
164.438 * * [simplify]: Extracting #4: cost 197 inf + 43
164.440 * * [simplify]: Extracting #5: cost 273 inf + 620
164.451 * * [simplify]: Extracting #6: cost 169 inf + 29643
164.486 * * [simplify]: Extracting #7: cost 14 inf + 81657
164.510 * * [simplify]: Extracting #8: cost 0 inf + 81698
164.552 * * [simplify]: Extracting #9: cost 0 inf + 81058
164.589 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))
164.589 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))))
164.590 * * * * [progress]: [ 142 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
164.590 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
164.590 * * [simplify]: iters left: 6 (47 enodes)
164.604 * * [simplify]: iters left: 5 (230 enodes)
164.696 * * [simplify]: Extracting #0: cost 1 inf + 0
164.696 * * [simplify]: Extracting #1: cost 3 inf + 0
164.696 * * [simplify]: Extracting #2: cost 10 inf + 0
164.696 * * [simplify]: Extracting #3: cost 62 inf + 0
164.696 * * [simplify]: Extracting #4: cost 115 inf + 42
164.697 * * [simplify]: Extracting #5: cost 160 inf + 290
164.697 * * [simplify]: Extracting #6: cost 223 inf + 2325
164.699 * * [simplify]: Extracting #7: cost 214 inf + 6973
164.703 * * [simplify]: Extracting #8: cost 134 inf + 26526
164.711 * * [simplify]: Extracting #9: cost 81 inf + 44649
164.733 * * [simplify]: Extracting #10: cost 32 inf + 66292
164.764 * * [simplify]: Extracting #11: cost 10 inf + 85082
164.803 * * [simplify]: Extracting #12: cost 0 inf + 97012
164.835 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))
164.835 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
164.836 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
164.836 * * [simplify]: iters left: 6 (23 enodes)
164.841 * * [simplify]: iters left: 5 (107 enodes)
164.865 * * [simplify]: iters left: 4 (297 enodes)
165.007 * * [simplify]: Extracting #0: cost 1 inf + 0
165.007 * * [simplify]: Extracting #1: cost 3 inf + 0
165.008 * * [simplify]: Extracting #2: cost 27 inf + 0
165.008 * * [simplify]: Extracting #3: cost 110 inf + 0
165.009 * * [simplify]: Extracting #4: cost 194 inf + 43
165.011 * * [simplify]: Extracting #5: cost 277 inf + 820
165.022 * * [simplify]: Extracting #6: cost 181 inf + 30991
165.053 * * [simplify]: Extracting #7: cost 5 inf + 94072
165.086 * * [simplify]: Extracting #8: cost 0 inf + 87684
165.117 * * [simplify]: Extracting #9: cost 0 inf + 87564
165.148 * [simplify]: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
165.148 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))))
165.149 * * * * [progress]: [ 143 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
165.149 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
165.150 * * [simplify]: iters left: 6 (42 enodes)
165.163 * * [simplify]: iters left: 5 (203 enodes)
165.223 * * [simplify]: Extracting #0: cost 1 inf + 0
165.223 * * [simplify]: Extracting #1: cost 3 inf + 0
165.223 * * [simplify]: Extracting #2: cost 10 inf + 0
165.223 * * [simplify]: Extracting #3: cost 54 inf + 0
165.224 * * [simplify]: Extracting #4: cost 95 inf + 86
165.225 * * [simplify]: Extracting #5: cost 122 inf + 1432
165.227 * * [simplify]: Extracting #6: cost 190 inf + 2932
165.229 * * [simplify]: Extracting #7: cost 200 inf + 3181
165.234 * * [simplify]: Extracting #8: cost 127 inf + 19240
165.244 * * [simplify]: Extracting #9: cost 36 inf + 58210
165.260 * * [simplify]: Extracting #10: cost 4 inf + 80084
165.292 * * [simplify]: Extracting #11: cost 1 inf + 81386
165.311 * * [simplify]: Extracting #12: cost 0 inf + 82971
165.335 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))
165.335 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
165.336 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
165.336 * * [simplify]: iters left: 6 (19 enodes)
165.340 * * [simplify]: iters left: 5 (89 enodes)
165.357 * * [simplify]: iters left: 4 (240 enodes)
165.470 * * [simplify]: Extracting #0: cost 1 inf + 0
165.470 * * [simplify]: Extracting #1: cost 3 inf + 0
165.470 * * [simplify]: Extracting #2: cost 17 inf + 0
165.470 * * [simplify]: Extracting #3: cost 49 inf + 0
165.470 * * [simplify]: Extracting #4: cost 100 inf + 44
165.472 * * [simplify]: Extracting #5: cost 183 inf + 86
165.475 * * [simplify]: Extracting #6: cost 132 inf + 8351
165.491 * * [simplify]: Extracting #7: cost 23 inf + 35831
165.515 * * [simplify]: Extracting #8: cost 1 inf + 44297
165.540 * * [simplify]: Extracting #9: cost 0 inf + 43900
165.565 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
165.566 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
165.567 * * * * [progress]: [ 144 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
165.567 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
165.568 * * [simplify]: iters left: 6 (47 enodes)
165.586 * * [simplify]: iters left: 5 (230 enodes)
165.664 * * [simplify]: Extracting #0: cost 1 inf + 0
165.664 * * [simplify]: Extracting #1: cost 3 inf + 0
165.664 * * [simplify]: Extracting #2: cost 10 inf + 0
165.664 * * [simplify]: Extracting #3: cost 62 inf + 0
165.665 * * [simplify]: Extracting #4: cost 115 inf + 42
165.666 * * [simplify]: Extracting #5: cost 158 inf + 494
165.668 * * [simplify]: Extracting #6: cost 216 inf + 3939
165.671 * * [simplify]: Extracting #7: cost 212 inf + 7376
165.680 * * [simplify]: Extracting #8: cost 126 inf + 31717
165.703 * * [simplify]: Extracting #9: cost 36 inf + 67634
165.722 * * [simplify]: Extracting #10: cost 3 inf + 92937
165.754 * * [simplify]: Extracting #11: cost 0 inf + 97732
165.794 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))
165.794 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
165.796 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
165.796 * * [simplify]: iters left: 6 (23 enodes)
165.808 * * [simplify]: iters left: 5 (107 enodes)
165.851 * * [simplify]: iters left: 4 (297 enodes)
165.959 * * [simplify]: Extracting #0: cost 1 inf + 0
165.960 * * [simplify]: Extracting #1: cost 3 inf + 0
165.960 * * [simplify]: Extracting #2: cost 27 inf + 0
165.960 * * [simplify]: Extracting #3: cost 110 inf + 0
165.960 * * [simplify]: Extracting #4: cost 194 inf + 43
165.962 * * [simplify]: Extracting #5: cost 277 inf + 820
165.968 * * [simplify]: Extracting #6: cost 181 inf + 30991
166.001 * * [simplify]: Extracting #7: cost 5 inf + 94072
166.032 * * [simplify]: Extracting #8: cost 0 inf + 87684
166.079 * * [simplify]: Extracting #9: cost 0 inf + 87564
166.119 * [simplify]: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
166.119 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))))
166.120 * * * * [progress]: [ 145 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
166.120 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
166.120 * * [simplify]: iters left: 6 (42 enodes)
166.132 * * [simplify]: iters left: 5 (203 enodes)
166.198 * * [simplify]: Extracting #0: cost 1 inf + 0
166.198 * * [simplify]: Extracting #1: cost 3 inf + 0
166.198 * * [simplify]: Extracting #2: cost 10 inf + 0
166.199 * * [simplify]: Extracting #3: cost 53 inf + 0
166.199 * * [simplify]: Extracting #4: cost 96 inf + 44
166.200 * * [simplify]: Extracting #5: cost 127 inf + 862
166.201 * * [simplify]: Extracting #6: cost 190 inf + 2932
166.203 * * [simplify]: Extracting #7: cost 200 inf + 3181
166.209 * * [simplify]: Extracting #8: cost 128 inf + 19038
166.224 * * [simplify]: Extracting #9: cost 44 inf + 52544
166.244 * * [simplify]: Extracting #10: cost 7 inf + 80896
166.264 * * [simplify]: Extracting #11: cost 0 inf + 84051
166.299 * * [simplify]: Extracting #12: cost 0 inf + 83291
166.342 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))
166.342 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
166.343 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
166.344 * * [simplify]: iters left: 6 (19 enodes)
166.352 * * [simplify]: iters left: 5 (89 enodes)
166.392 * * [simplify]: iters left: 4 (240 enodes)
166.518 * * [simplify]: Extracting #0: cost 1 inf + 0
166.518 * * [simplify]: Extracting #1: cost 3 inf + 0
166.518 * * [simplify]: Extracting #2: cost 17 inf + 0
166.518 * * [simplify]: Extracting #3: cost 49 inf + 0
166.519 * * [simplify]: Extracting #4: cost 100 inf + 44
166.520 * * [simplify]: Extracting #5: cost 183 inf + 86
166.524 * * [simplify]: Extracting #6: cost 132 inf + 8351
166.539 * * [simplify]: Extracting #7: cost 23 inf + 35831
166.563 * * [simplify]: Extracting #8: cost 1 inf + 44297
166.586 * * [simplify]: Extracting #9: cost 0 inf + 43900
166.609 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
166.609 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
166.610 * * * * [progress]: [ 146 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
166.611 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
166.614 * * [simplify]: iters left: 6 (51 enodes)
166.642 * * [simplify]: iters left: 5 (252 enodes)
166.748 * * [simplify]: Extracting #0: cost 1 inf + 0
166.748 * * [simplify]: Extracting #1: cost 3 inf + 0
166.748 * * [simplify]: Extracting #2: cost 6 inf + 0
166.748 * * [simplify]: Extracting #3: cost 56 inf + 0
166.749 * * [simplify]: Extracting #4: cost 125 inf + 0
166.750 * * [simplify]: Extracting #5: cost 194 inf + 0
166.755 * * [simplify]: Extracting #6: cost 288 inf + 763
166.759 * * [simplify]: Extracting #7: cost 255 inf + 8377
166.769 * * [simplify]: Extracting #8: cost 140 inf + 35727
166.789 * * [simplify]: Extracting #9: cost 52 inf + 74867
166.828 * * [simplify]: Extracting #10: cost 4 inf + 117638
166.862 * * [simplify]: Extracting #11: cost 1 inf + 118951
166.897 * * [simplify]: Extracting #12: cost 0 inf + 120456
166.928 * * [simplify]: Extracting #13: cost 0 inf + 120336
166.964 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (* (* lambda1 lambda1) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (* (* lambda1 lambda1) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))
166.964 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (* (* lambda1 lambda1) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (* (* lambda1 lambda1) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
166.965 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
166.965 * * [simplify]: iters left: 6 (26 enodes)
166.971 * * [simplify]: iters left: 5 (125 enodes)
167.015 * * [simplify]: iters left: 4 (403 enodes)
167.333 * * [simplify]: Extracting #0: cost 1 inf + 0
167.334 * * [simplify]: Extracting #1: cost 3 inf + 0
167.334 * * [simplify]: Extracting #2: cost 42 inf + 0
167.335 * * [simplify]: Extracting #3: cost 289 inf + 0
167.338 * * [simplify]: Extracting #4: cost 477 inf + 44
167.343 * * [simplify]: Extracting #5: cost 523 inf + 6000
167.384 * * [simplify]: Extracting #6: cost 262 inf + 106108
167.442 * * [simplify]: Extracting #7: cost 11 inf + 218605
167.552 * * [simplify]: Extracting #8: cost 0 inf + 210803
167.625 * * [simplify]: Extracting #9: cost 0 inf + 209883
167.726 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))
167.727 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (* (* lambda1 lambda1) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (* (* lambda1 lambda1) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))))))))
167.728 * * * * [progress]: [ 147 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
167.729 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
167.729 * * [simplify]: iters left: 6 (52 enodes)
167.758 * * [simplify]: iters left: 5 (261 enodes)
167.842 * * [simplify]: Extracting #0: cost 1 inf + 0
167.842 * * [simplify]: Extracting #1: cost 3 inf + 0
167.842 * * [simplify]: Extracting #2: cost 6 inf + 0
167.842 * * [simplify]: Extracting #3: cost 60 inf + 0
167.842 * * [simplify]: Extracting #4: cost 148 inf + 0
167.843 * * [simplify]: Extracting #5: cost 206 inf + 126
167.846 * * [simplify]: Extracting #6: cost 266 inf + 4400
167.851 * * [simplify]: Extracting #7: cost 239 inf + 11875
167.860 * * [simplify]: Extracting #8: cost 149 inf + 32747
167.873 * * [simplify]: Extracting #9: cost 70 inf + 62036
167.894 * * [simplify]: Extracting #10: cost 14 inf + 111748
167.919 * * [simplify]: Extracting #11: cost 0 inf + 125393
167.961 * * [simplify]: Extracting #12: cost 0 inf + 124513
168.000 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))))))
168.000 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
168.001 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
168.001 * * [simplify]: iters left: 6 (27 enodes)
168.008 * * [simplify]: iters left: 5 (129 enodes)
168.043 * * [simplify]: iters left: 4 (401 enodes)
168.329 * * [simplify]: Extracting #0: cost 1 inf + 0
168.329 * * [simplify]: Extracting #1: cost 3 inf + 0
168.330 * * [simplify]: Extracting #2: cost 63 inf + 0
168.331 * * [simplify]: Extracting #3: cost 285 inf + 0
168.334 * * [simplify]: Extracting #4: cost 417 inf + 86
168.343 * * [simplify]: Extracting #5: cost 471 inf + 3620
168.354 * * [simplify]: Extracting #6: cost 390 inf + 18504
168.395 * * [simplify]: Extracting #7: cost 156 inf + 107507
168.484 * * [simplify]: Extracting #8: cost 6 inf + 187063
168.557 * * [simplify]: Extracting #9: cost 0 inf + 190487
168.634 * [simplify]: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))
168.634 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))))) (sqrt (* (* (+ phi2 phi1) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))))))
168.636 * * * * [progress]: [ 148 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
168.636 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
168.637 * * [simplify]: iters left: 6 (52 enodes)
168.664 * * [simplify]: iters left: 5 (261 enodes)
168.775 * * [simplify]: Extracting #0: cost 1 inf + 0
168.775 * * [simplify]: Extracting #1: cost 3 inf + 0
168.775 * * [simplify]: Extracting #2: cost 6 inf + 0
168.775 * * [simplify]: Extracting #3: cost 62 inf + 0
168.775 * * [simplify]: Extracting #4: cost 146 inf + 0
168.776 * * [simplify]: Extracting #5: cost 204 inf + 44
168.779 * * [simplify]: Extracting #6: cost 277 inf + 2543
168.784 * * [simplify]: Extracting #7: cost 244 inf + 12355
168.791 * * [simplify]: Extracting #8: cost 185 inf + 22702
168.806 * * [simplify]: Extracting #9: cost 125 inf + 35203
168.818 * * [simplify]: Extracting #10: cost 67 inf + 63725
168.840 * * [simplify]: Extracting #11: cost 12 inf + 107365
168.886 * * [simplify]: Extracting #12: cost 0 inf + 122345
168.936 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))))
168.936 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
168.937 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
168.938 * * [simplify]: iters left: 6 (27 enodes)
168.951 * * [simplify]: iters left: 5 (129 enodes)
168.992 * * [simplify]: iters left: 4 (399 enodes)
169.263 * * [simplify]: Extracting #0: cost 1 inf + 0
169.263 * * [simplify]: Extracting #1: cost 3 inf + 0
169.263 * * [simplify]: Extracting #2: cost 56 inf + 0
169.264 * * [simplify]: Extracting #3: cost 267 inf + 0
169.267 * * [simplify]: Extracting #4: cost 375 inf + 736
169.272 * * [simplify]: Extracting #5: cost 421 inf + 5732
169.307 * * [simplify]: Extracting #6: cost 231 inf + 85012
169.365 * * [simplify]: Extracting #7: cost 16 inf + 173185
169.443 * * [simplify]: Extracting #8: cost 0 inf + 169636
169.505 * * [simplify]: Extracting #9: cost 0 inf + 168836
169.557 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))))
169.557 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))))) (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))))))
169.558 * * * * [progress]: [ 149 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
169.558 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
169.559 * * [simplify]: iters left: 6 (46 enodes)
169.579 * * [simplify]: iters left: 5 (225 enodes)
169.648 * * [simplify]: Extracting #0: cost 1 inf + 0
169.648 * * [simplify]: Extracting #1: cost 3 inf + 0
169.648 * * [simplify]: Extracting #2: cost 6 inf + 0
169.648 * * [simplify]: Extracting #3: cost 54 inf + 0
169.649 * * [simplify]: Extracting #4: cost 113 inf + 0
169.650 * * [simplify]: Extracting #5: cost 150 inf + 126
169.651 * * [simplify]: Extracting #6: cost 233 inf + 908
169.653 * * [simplify]: Extracting #7: cost 238 inf + 1847
169.656 * * [simplify]: Extracting #8: cost 161 inf + 14590
169.662 * * [simplify]: Extracting #9: cost 90 inf + 37491
169.674 * * [simplify]: Extracting #10: cost 42 inf + 65071
169.703 * * [simplify]: Extracting #11: cost 1 inf + 99497
169.743 * * [simplify]: Extracting #12: cost 0 inf + 99122
169.783 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))
169.783 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
169.785 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))
169.785 * * [simplify]: iters left: 6 (22 enodes)
169.796 * * [simplify]: iters left: 5 (107 enodes)
169.818 * * [simplify]: iters left: 4 (328 enodes)
169.980 * * [simplify]: Extracting #0: cost 1 inf + 0
169.980 * * [simplify]: Extracting #1: cost 3 inf + 0
169.980 * * [simplify]: Extracting #2: cost 31 inf + 0
169.980 * * [simplify]: Extracting #3: cost 146 inf + 0
169.981 * * [simplify]: Extracting #4: cost 225 inf + 85
169.983 * * [simplify]: Extracting #5: cost 287 inf + 3092
169.988 * * [simplify]: Extracting #6: cost 209 inf + 27217
170.013 * * [simplify]: Extracting #7: cost 21 inf + 92445
170.057 * * [simplify]: Extracting #8: cost 0 inf + 92381
170.082 * * [simplify]: Extracting #9: cost 0 inf + 91381
170.113 * * [simplify]: Extracting #10: cost 0 inf + 91301
170.161 * * [simplify]: Extracting #11: cost 0 inf + 91261
170.206 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))
170.207 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))))
170.208 * * * * [progress]: [ 150 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
170.208 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
170.209 * * [simplify]: iters left: 6 (51 enodes)
170.236 * * [simplify]: iters left: 5 (253 enodes)
170.342 * * [simplify]: Extracting #0: cost 1 inf + 0
170.342 * * [simplify]: Extracting #1: cost 3 inf + 0
170.342 * * [simplify]: Extracting #2: cost 10 inf + 0
170.342 * * [simplify]: Extracting #3: cost 71 inf + 0
170.343 * * [simplify]: Extracting #4: cost 133 inf + 42
170.344 * * [simplify]: Extracting #5: cost 175 inf + 249
170.346 * * [simplify]: Extracting #6: cost 250 inf + 3253
170.349 * * [simplify]: Extracting #7: cost 242 inf + 7810
170.355 * * [simplify]: Extracting #8: cost 167 inf + 20879
170.368 * * [simplify]: Extracting #9: cost 105 inf + 40916
170.391 * * [simplify]: Extracting #10: cost 54 inf + 66180
170.426 * * [simplify]: Extracting #11: cost 22 inf + 92938
170.470 * * [simplify]: Extracting #12: cost 1 inf + 114703
170.507 * * [simplify]: Extracting #13: cost 0 inf + 116488
170.537 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))
170.537 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
170.539 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
170.539 * * [simplify]: iters left: 6 (25 enodes)
170.551 * * [simplify]: iters left: 5 (120 enodes)
170.602 * * [simplify]: iters left: 4 (345 enodes)
170.769 * * [simplify]: Extracting #0: cost 1 inf + 0
170.769 * * [simplify]: Extracting #1: cost 3 inf + 0
170.769 * * [simplify]: Extracting #2: cost 32 inf + 0
170.770 * * [simplify]: Extracting #3: cost 136 inf + 0
170.771 * * [simplify]: Extracting #4: cost 241 inf + 44
170.774 * * [simplify]: Extracting #5: cost 319 inf + 739
170.784 * * [simplify]: Extracting #6: cost 222 inf + 31429
170.809 * * [simplify]: Extracting #7: cost 22 inf + 107398
170.866 * * [simplify]: Extracting #8: cost 0 inf + 106177
170.917 * * [simplify]: Extracting #9: cost 0 inf + 104497
170.947 * * [simplify]: Extracting #10: cost 0 inf + 104457
170.994 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))
170.995 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))))
170.995 * * * * [progress]: [ 151 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
170.995 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
170.996 * * [simplify]: iters left: 6 (46 enodes)
171.008 * * [simplify]: iters left: 5 (225 enodes)
171.077 * * [simplify]: Extracting #0: cost 1 inf + 0
171.077 * * [simplify]: Extracting #1: cost 3 inf + 0
171.077 * * [simplify]: Extracting #2: cost 10 inf + 0
171.077 * * [simplify]: Extracting #3: cost 64 inf + 0
171.077 * * [simplify]: Extracting #4: cost 116 inf + 44
171.078 * * [simplify]: Extracting #5: cost 143 inf + 782
171.079 * * [simplify]: Extracting #6: cost 224 inf + 2770
171.080 * * [simplify]: Extracting #7: cost 229 inf + 3828
171.083 * * [simplify]: Extracting #8: cost 149 inf + 22384
171.094 * * [simplify]: Extracting #9: cost 61 inf + 56290
171.108 * * [simplify]: Extracting #10: cost 23 inf + 76712
171.141 * * [simplify]: Extracting #11: cost 1 inf + 97569
171.172 * * [simplify]: Extracting #12: cost 0 inf + 99114
171.192 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))))))
171.193 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
171.193 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))
171.194 * * [simplify]: iters left: 6 (21 enodes)
171.203 * * [simplify]: iters left: 5 (102 enodes)
171.237 * * [simplify]: iters left: 4 (288 enodes)
171.375 * * [simplify]: Extracting #0: cost 1 inf + 0
171.375 * * [simplify]: Extracting #1: cost 3 inf + 0
171.375 * * [simplify]: Extracting #2: cost 22 inf + 0
171.375 * * [simplify]: Extracting #3: cost 68 inf + 0
171.375 * * [simplify]: Extracting #4: cost 140 inf + 2
171.376 * * [simplify]: Extracting #5: cost 226 inf + 44
171.379 * * [simplify]: Extracting #6: cost 174 inf + 14010
171.396 * * [simplify]: Extracting #7: cost 12 inf + 59819
171.416 * * [simplify]: Extracting #8: cost 0 inf + 58890
171.448 * * [simplify]: Extracting #9: cost 0 inf + 57930
171.473 * [simplify]: Simplified to (sqrt (* (+ phi2 phi1) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))))
171.473 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ phi2 phi1) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))))))
171.473 * * * * [progress]: [ 152 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
171.474 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
171.474 * * [simplify]: iters left: 6 (51 enodes)
171.488 * * [simplify]: iters left: 5 (253 enodes)
171.557 * * [simplify]: Extracting #0: cost 1 inf + 0
171.557 * * [simplify]: Extracting #1: cost 3 inf + 0
171.557 * * [simplify]: Extracting #2: cost 10 inf + 0
171.558 * * [simplify]: Extracting #3: cost 71 inf + 0
171.558 * * [simplify]: Extracting #4: cost 133 inf + 42
171.559 * * [simplify]: Extracting #5: cost 175 inf + 248
171.561 * * [simplify]: Extracting #6: cost 253 inf + 2487
171.565 * * [simplify]: Extracting #7: cost 243 inf + 7307
171.571 * * [simplify]: Extracting #8: cost 168 inf + 21491
171.585 * * [simplify]: Extracting #9: cost 101 inf + 44252
171.611 * * [simplify]: Extracting #10: cost 53 inf + 67885
171.641 * * [simplify]: Extracting #11: cost 22 inf + 94778
171.665 * * [simplify]: Extracting #12: cost 1 inf + 115663
171.703 * * [simplify]: Extracting #13: cost 0 inf + 117448
171.736 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))
171.736 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
171.737 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
171.738 * * [simplify]: iters left: 6 (25 enodes)
171.750 * * [simplify]: iters left: 5 (120 enodes)
171.774 * * [simplify]: iters left: 4 (345 enodes)
171.958 * * [simplify]: Extracting #0: cost 1 inf + 0
171.958 * * [simplify]: Extracting #1: cost 3 inf + 0
171.958 * * [simplify]: Extracting #2: cost 32 inf + 0
171.958 * * [simplify]: Extracting #3: cost 136 inf + 0
171.960 * * [simplify]: Extracting #4: cost 241 inf + 44
171.963 * * [simplify]: Extracting #5: cost 319 inf + 739
171.974 * * [simplify]: Extracting #6: cost 222 inf + 31429
172.022 * * [simplify]: Extracting #7: cost 22 inf + 107398
172.081 * * [simplify]: Extracting #8: cost 0 inf + 106177
172.115 * * [simplify]: Extracting #9: cost 0 inf + 104497
172.147 * * [simplify]: Extracting #10: cost 0 inf + 104457
172.191 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))
172.191 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))))
172.192 * * * * [progress]: [ 153 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
172.192 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
172.193 * * [simplify]: iters left: 6 (46 enodes)
172.217 * * [simplify]: iters left: 5 (225 enodes)
172.280 * * [simplify]: Extracting #0: cost 1 inf + 0
172.280 * * [simplify]: Extracting #1: cost 3 inf + 0
172.280 * * [simplify]: Extracting #2: cost 10 inf + 0
172.281 * * [simplify]: Extracting #3: cost 63 inf + 0
172.281 * * [simplify]: Extracting #4: cost 116 inf + 44
172.282 * * [simplify]: Extracting #5: cost 143 inf + 782
172.288 * * [simplify]: Extracting #6: cost 223 inf + 2932
172.291 * * [simplify]: Extracting #7: cost 229 inf + 3828
172.297 * * [simplify]: Extracting #8: cost 149 inf + 22503
172.309 * * [simplify]: Extracting #9: cost 63 inf + 55421
172.324 * * [simplify]: Extracting #10: cost 24 inf + 77129
172.351 * * [simplify]: Extracting #11: cost 3 inf + 96439
172.375 * * [simplify]: Extracting #12: cost 0 inf + 101514
172.418 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (+ (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* lambda1 lambda1)) (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (+ (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* lambda1 lambda1)) (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))
172.418 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (+ (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* lambda1 lambda1)) (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (+ (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* lambda1 lambda1)) (* (* (+ (* (* lambda1 lambda1) lambda1) (* (- (* lambda2 lambda2)) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
172.419 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))
172.420 * * [simplify]: iters left: 6 (21 enodes)
172.431 * * [simplify]: iters left: 5 (102 enodes)
172.463 * * [simplify]: iters left: 4 (288 enodes)
172.587 * * [simplify]: Extracting #0: cost 1 inf + 0
172.587 * * [simplify]: Extracting #1: cost 3 inf + 0
172.587 * * [simplify]: Extracting #2: cost 22 inf + 0
172.587 * * [simplify]: Extracting #3: cost 68 inf + 0
172.588 * * [simplify]: Extracting #4: cost 140 inf + 2
172.588 * * [simplify]: Extracting #5: cost 226 inf + 44
172.592 * * [simplify]: Extracting #6: cost 174 inf + 14010
172.606 * * [simplify]: Extracting #7: cost 12 inf + 59819
172.629 * * [simplify]: Extracting #8: cost 0 inf + 58890
172.660 * * [simplify]: Extracting #9: cost 0 inf + 57930
172.692 * [simplify]: Simplified to (sqrt (* (+ phi2 phi1) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))))
172.692 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (+ phi2 phi1) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))))))
172.693 * * * * [progress]: [ 154 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
172.693 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
172.694 * * [simplify]: iters left: 6 (47 enodes)
172.718 * * [simplify]: iters left: 5 (232 enodes)
172.819 * * [simplify]: Extracting #0: cost 1 inf + 0
172.819 * * [simplify]: Extracting #1: cost 3 inf + 0
172.819 * * [simplify]: Extracting #2: cost 6 inf + 0
172.819 * * [simplify]: Extracting #3: cost 54 inf + 0
172.820 * * [simplify]: Extracting #4: cost 120 inf + 0
172.820 * * [simplify]: Extracting #5: cost 193 inf + 0
172.822 * * [simplify]: Extracting #6: cost 267 inf + 1771
172.825 * * [simplify]: Extracting #7: cost 233 inf + 11438
172.832 * * [simplify]: Extracting #8: cost 158 inf + 22276
172.840 * * [simplify]: Extracting #9: cost 92 inf + 44366
172.851 * * [simplify]: Extracting #10: cost 49 inf + 65640
172.876 * * [simplify]: Extracting #11: cost 9 inf + 102577
172.912 * * [simplify]: Extracting #12: cost 0 inf + 114082
172.961 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))
172.961 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
172.962 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
172.962 * * [simplify]: iters left: 6 (24 enodes)
172.967 * * [simplify]: iters left: 5 (114 enodes)
172.991 * * [simplify]: iters left: 4 (369 enodes)
173.216 * * [simplify]: Extracting #0: cost 1 inf + 0
173.216 * * [simplify]: Extracting #1: cost 3 inf + 0
173.216 * * [simplify]: Extracting #2: cost 36 inf + 0
173.217 * * [simplify]: Extracting #3: cost 275 inf + 0
173.220 * * [simplify]: Extracting #4: cost 443 inf + 166
173.228 * * [simplify]: Extracting #5: cost 470 inf + 10274
173.275 * * [simplify]: Extracting #6: cost 196 inf + 120725
173.357 * * [simplify]: Extracting #7: cost 10 inf + 202708
173.449 * * [simplify]: Extracting #8: cost 0 inf + 199386
173.529 * * [simplify]: Extracting #9: cost 0 inf + 198506
173.599 * * [simplify]: Extracting #10: cost 0 inf + 198386
173.671 * * [simplify]: Extracting #11: cost 0 inf + 198346
173.768 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))
173.768 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))))
173.769 * * * * [progress]: [ 155 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
173.769 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
173.770 * * [simplify]: iters left: 6 (48 enodes)
173.785 * * [simplify]: iters left: 5 (241 enodes)
173.854 * * [simplify]: Extracting #0: cost 1 inf + 0
173.854 * * [simplify]: Extracting #1: cost 3 inf + 0
173.854 * * [simplify]: Extracting #2: cost 6 inf + 0
173.854 * * [simplify]: Extracting #3: cost 58 inf + 0
173.854 * * [simplify]: Extracting #4: cost 143 inf + 0
173.855 * * [simplify]: Extracting #5: cost 202 inf + 412
173.856 * * [simplify]: Extracting #6: cost 237 inf + 6862
173.859 * * [simplify]: Extracting #7: cost 219 inf + 14509
173.863 * * [simplify]: Extracting #8: cost 153 inf + 26910
173.874 * * [simplify]: Extracting #9: cost 88 inf + 51994
173.902 * * [simplify]: Extracting #10: cost 35 inf + 80306
173.941 * * [simplify]: Extracting #11: cost 5 inf + 109934
173.987 * * [simplify]: Extracting #12: cost 0 inf + 115979
174.035 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
174.035 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
174.036 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
174.037 * * [simplify]: iters left: 6 (25 enodes)
174.046 * * [simplify]: iters left: 5 (118 enodes)
174.071 * * [simplify]: iters left: 4 (366 enodes)
174.291 * * [simplify]: Extracting #0: cost 1 inf + 0
174.291 * * [simplify]: Extracting #1: cost 3 inf + 0
174.291 * * [simplify]: Extracting #2: cost 62 inf + 0
174.293 * * [simplify]: Extracting #3: cost 291 inf + 0
174.295 * * [simplify]: Extracting #4: cost 389 inf + 209
174.301 * * [simplify]: Extracting #5: cost 438 inf + 6201
174.315 * * [simplify]: Extracting #6: cost 327 inf + 32816
174.344 * * [simplify]: Extracting #7: cost 114 inf + 118228
174.404 * * [simplify]: Extracting #8: cost 2 inf + 179774
174.466 * * [simplify]: Extracting #9: cost 0 inf + 180862
174.532 * [simplify]: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))
174.532 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))))))
174.533 * * * * [progress]: [ 156 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
174.534 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
174.534 * * [simplify]: iters left: 6 (48 enodes)
174.560 * * [simplify]: iters left: 5 (241 enodes)
174.642 * * [simplify]: Extracting #0: cost 1 inf + 0
174.642 * * [simplify]: Extracting #1: cost 3 inf + 0
174.642 * * [simplify]: Extracting #2: cost 6 inf + 0
174.642 * * [simplify]: Extracting #3: cost 60 inf + 0
174.642 * * [simplify]: Extracting #4: cost 141 inf + 0
174.643 * * [simplify]: Extracting #5: cost 199 inf + 210
174.644 * * [simplify]: Extracting #6: cost 247 inf + 4357
174.648 * * [simplify]: Extracting #7: cost 222 inf + 12733
174.656 * * [simplify]: Extracting #8: cost 171 inf + 23330
174.669 * * [simplify]: Extracting #9: cost 105 inf + 39847
174.685 * * [simplify]: Extracting #10: cost 57 inf + 63801
174.709 * * [simplify]: Extracting #11: cost 11 inf + 103976
174.753 * * [simplify]: Extracting #12: cost 0 inf + 115171
174.793 * * [simplify]: Extracting #13: cost 0 inf + 115091
174.817 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
174.817 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
174.818 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
174.818 * * [simplify]: iters left: 6 (25 enodes)
174.826 * * [simplify]: iters left: 5 (118 enodes)
174.877 * * [simplify]: iters left: 4 (364 enodes)
175.111 * * [simplify]: Extracting #0: cost 1 inf + 0
175.111 * * [simplify]: Extracting #1: cost 3 inf + 0
175.111 * * [simplify]: Extracting #2: cost 56 inf + 0
175.112 * * [simplify]: Extracting #3: cost 271 inf + 0
175.113 * * [simplify]: Extracting #4: cost 358 inf + 414
175.116 * * [simplify]: Extracting #5: cost 404 inf + 6212
175.135 * * [simplify]: Extracting #6: cost 221 inf + 80549
175.197 * * [simplify]: Extracting #7: cost 5 inf + 174144
175.253 * * [simplify]: Extracting #8: cost 0 inf + 164160
175.302 * * [simplify]: Extracting #9: cost 0 inf + 163920
175.386 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))))
175.386 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))))))
175.387 * * * * [progress]: [ 157 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
175.388 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
175.389 * * [simplify]: iters left: 6 (42 enodes)
175.411 * * [simplify]: iters left: 5 (205 enodes)
175.498 * * [simplify]: Extracting #0: cost 1 inf + 0
175.498 * * [simplify]: Extracting #1: cost 3 inf + 0
175.498 * * [simplify]: Extracting #2: cost 6 inf + 0
175.498 * * [simplify]: Extracting #3: cost 52 inf + 0
175.499 * * [simplify]: Extracting #4: cost 109 inf + 0
175.499 * * [simplify]: Extracting #5: cost 150 inf + 85
175.500 * * [simplify]: Extracting #6: cost 215 inf + 1030
175.501 * * [simplify]: Extracting #7: cost 212 inf + 3224
175.503 * * [simplify]: Extracting #8: cost 170 inf + 9147
175.507 * * [simplify]: Extracting #9: cost 109 inf + 25185
175.516 * * [simplify]: Extracting #10: cost 55 inf + 50649
175.535 * * [simplify]: Extracting #11: cost 24 inf + 69910
175.563 * * [simplify]: Extracting #12: cost 1 inf + 92045
175.585 * * [simplify]: Extracting #13: cost 0 inf + 93670
175.627 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))))
175.627 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
175.629 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))
175.629 * * [simplify]: iters left: 6 (20 enodes)
175.638 * * [simplify]: iters left: 5 (96 enodes)
175.671 * * [simplify]: iters left: 4 (294 enodes)
175.797 * * [simplify]: Extracting #0: cost 1 inf + 0
175.797 * * [simplify]: Extracting #1: cost 3 inf + 0
175.797 * * [simplify]: Extracting #2: cost 29 inf + 0
175.797 * * [simplify]: Extracting #3: cost 132 inf + 0
175.799 * * [simplify]: Extracting #4: cost 191 inf + 291
175.802 * * [simplify]: Extracting #5: cost 251 inf + 3418
175.808 * * [simplify]: Extracting #6: cost 154 inf + 32710
175.832 * * [simplify]: Extracting #7: cost 10 inf + 82702
175.864 * * [simplify]: Extracting #8: cost 0 inf + 80408
175.895 * * [simplify]: Extracting #9: cost 0 inf + 79648
175.918 * * [simplify]: Extracting #10: cost 0 inf + 79608
175.948 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ phi1 phi2)))))
175.948 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ phi1 phi2))))))))
175.949 * * * * [progress]: [ 158 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
175.949 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
175.950 * * [simplify]: iters left: 6 (47 enodes)
175.962 * * [simplify]: iters left: 5 (233 enodes)
176.044 * * [simplify]: Extracting #0: cost 1 inf + 0
176.044 * * [simplify]: Extracting #1: cost 3 inf + 0
176.044 * * [simplify]: Extracting #2: cost 10 inf + 0
176.044 * * [simplify]: Extracting #3: cost 72 inf + 0
176.044 * * [simplify]: Extracting #4: cost 126 inf + 42
176.045 * * [simplify]: Extracting #5: cost 170 inf + 332
176.046 * * [simplify]: Extracting #6: cost 232 inf + 2930
176.050 * * [simplify]: Extracting #7: cost 228 inf + 6005
176.056 * * [simplify]: Extracting #8: cost 161 inf + 18017
176.067 * * [simplify]: Extracting #9: cost 102 inf + 36059
176.078 * * [simplify]: Extracting #10: cost 51 inf + 62139
176.101 * * [simplify]: Extracting #11: cost 8 inf + 96161
176.124 * * [simplify]: Extracting #12: cost 0 inf + 105761
176.159 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))
176.159 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
176.160 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
176.160 * * [simplify]: iters left: 6 (23 enodes)
176.166 * * [simplify]: iters left: 5 (109 enodes)
176.207 * * [simplify]: iters left: 4 (311 enodes)
176.366 * * [simplify]: Extracting #0: cost 1 inf + 0
176.366 * * [simplify]: Extracting #1: cost 3 inf + 0
176.367 * * [simplify]: Extracting #2: cost 28 inf + 0
176.367 * * [simplify]: Extracting #3: cost 107 inf + 0
176.368 * * [simplify]: Extracting #4: cost 194 inf + 85
176.370 * * [simplify]: Extracting #5: cost 270 inf + 984
176.376 * * [simplify]: Extracting #6: cost 185 inf + 28688
176.400 * * [simplify]: Extracting #7: cost 13 inf + 90408
176.431 * * [simplify]: Extracting #8: cost 0 inf + 88160
176.465 * * [simplify]: Extracting #9: cost 0 inf + 87120
176.515 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
176.515 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))))
176.517 * * * * [progress]: [ 159 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
176.517 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
176.518 * * [simplify]: iters left: 6 (42 enodes)
176.543 * * [simplify]: iters left: 5 (205 enodes)
176.625 * * [simplify]: Extracting #0: cost 1 inf + 0
176.625 * * [simplify]: Extracting #1: cost 3 inf + 0
176.625 * * [simplify]: Extracting #2: cost 10 inf + 0
176.625 * * [simplify]: Extracting #3: cost 64 inf + 0
176.626 * * [simplify]: Extracting #4: cost 106 inf + 86
176.627 * * [simplify]: Extracting #5: cost 135 inf + 1228
176.628 * * [simplify]: Extracting #6: cost 201 inf + 2932
176.631 * * [simplify]: Extracting #7: cost 212 inf + 3100
176.636 * * [simplify]: Extracting #8: cost 141 inf + 19470
176.653 * * [simplify]: Extracting #9: cost 61 inf + 51418
176.669 * * [simplify]: Extracting #10: cost 22 inf + 76931
176.688 * * [simplify]: Extracting #11: cost 0 inf + 90560
176.716 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))))))
176.716 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
176.717 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
176.717 * * [simplify]: iters left: 6 (19 enodes)
176.726 * * [simplify]: iters left: 5 (91 enodes)
176.762 * * [simplify]: iters left: 4 (254 enodes)
176.856 * * [simplify]: Extracting #0: cost 1 inf + 0
176.856 * * [simplify]: Extracting #1: cost 3 inf + 0
176.856 * * [simplify]: Extracting #2: cost 18 inf + 0
176.856 * * [simplify]: Extracting #3: cost 44 inf + 0
176.856 * * [simplify]: Extracting #4: cost 99 inf + 2
176.857 * * [simplify]: Extracting #5: cost 182 inf + 44
176.859 * * [simplify]: Extracting #6: cost 119 inf + 10738
176.872 * * [simplify]: Extracting #7: cost 33 inf + 31640
176.893 * * [simplify]: Extracting #8: cost 9 inf + 40107
176.920 * * [simplify]: Extracting #9: cost 2 inf + 42770
176.947 * * [simplify]: Extracting #10: cost 0 inf + 43496
176.972 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (+ phi1 phi2)))
176.972 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (+ phi1 phi2))))))
176.973 * * * * [progress]: [ 160 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
176.974 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
176.974 * * [simplify]: iters left: 6 (47 enodes)
176.997 * * [simplify]: iters left: 5 (233 enodes)
177.064 * * [simplify]: Extracting #0: cost 1 inf + 0
177.064 * * [simplify]: Extracting #1: cost 3 inf + 0
177.064 * * [simplify]: Extracting #2: cost 10 inf + 0
177.064 * * [simplify]: Extracting #3: cost 72 inf + 0
177.065 * * [simplify]: Extracting #4: cost 126 inf + 42
177.066 * * [simplify]: Extracting #5: cost 170 inf + 332
177.068 * * [simplify]: Extracting #6: cost 230 inf + 3454
177.071 * * [simplify]: Extracting #7: cost 223 inf + 8189
177.077 * * [simplify]: Extracting #8: cost 159 inf + 19226
177.088 * * [simplify]: Extracting #9: cost 102 inf + 36661
177.108 * * [simplify]: Extracting #10: cost 51 inf + 62661
177.135 * * [simplify]: Extracting #11: cost 8 inf + 97041
177.156 * * [simplify]: Extracting #12: cost 0 inf + 106641
177.191 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))
177.191 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
177.193 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
177.193 * * [simplify]: iters left: 6 (23 enodes)
177.203 * * [simplify]: iters left: 5 (109 enodes)
177.240 * * [simplify]: iters left: 4 (311 enodes)
177.368 * * [simplify]: Extracting #0: cost 1 inf + 0
177.368 * * [simplify]: Extracting #1: cost 3 inf + 0
177.368 * * [simplify]: Extracting #2: cost 28 inf + 0
177.369 * * [simplify]: Extracting #3: cost 107 inf + 0
177.369 * * [simplify]: Extracting #4: cost 194 inf + 85
177.370 * * [simplify]: Extracting #5: cost 270 inf + 984
177.376 * * [simplify]: Extracting #6: cost 185 inf + 28688
177.412 * * [simplify]: Extracting #7: cost 13 inf + 90408
177.445 * * [simplify]: Extracting #8: cost 0 inf + 88160
177.481 * * [simplify]: Extracting #9: cost 0 inf + 87120
177.508 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
177.508 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))))
177.508 * * * * [progress]: [ 161 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
177.509 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
177.509 * * [simplify]: iters left: 6 (42 enodes)
177.522 * * [simplify]: iters left: 5 (205 enodes)
177.595 * * [simplify]: Extracting #0: cost 1 inf + 0
177.595 * * [simplify]: Extracting #1: cost 3 inf + 0
177.595 * * [simplify]: Extracting #2: cost 10 inf + 0
177.595 * * [simplify]: Extracting #3: cost 63 inf + 0
177.595 * * [simplify]: Extracting #4: cost 107 inf + 44
177.596 * * [simplify]: Extracting #5: cost 136 inf + 1186
177.597 * * [simplify]: Extracting #6: cost 201 inf + 2932
177.598 * * [simplify]: Extracting #7: cost 212 inf + 3100
177.601 * * [simplify]: Extracting #8: cost 138 inf + 20298
177.610 * * [simplify]: Extracting #9: cost 61 inf + 51418
177.640 * * [simplify]: Extracting #10: cost 22 inf + 77211
177.677 * * [simplify]: Extracting #11: cost 1 inf + 90436
177.708 * * [simplify]: Extracting #12: cost 0 inf + 90960
177.729 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))))))
177.729 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
177.731 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
177.731 * * [simplify]: iters left: 6 (19 enodes)
177.740 * * [simplify]: iters left: 5 (91 enodes)
177.769 * * [simplify]: iters left: 4 (254 enodes)
177.858 * * [simplify]: Extracting #0: cost 1 inf + 0
177.858 * * [simplify]: Extracting #1: cost 3 inf + 0
177.858 * * [simplify]: Extracting #2: cost 18 inf + 0
177.859 * * [simplify]: Extracting #3: cost 44 inf + 0
177.859 * * [simplify]: Extracting #4: cost 99 inf + 2
177.861 * * [simplify]: Extracting #5: cost 182 inf + 44
177.865 * * [simplify]: Extracting #6: cost 119 inf + 10738
177.880 * * [simplify]: Extracting #7: cost 33 inf + 31640
177.896 * * [simplify]: Extracting #8: cost 9 inf + 40107
177.910 * * [simplify]: Extracting #9: cost 2 inf + 42770
177.923 * * [simplify]: Extracting #10: cost 0 inf + 43496
177.947 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (+ phi1 phi2)))
177.948 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (+ phi1 phi2))))))
177.949 * * * * [progress]: [ 162 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
177.949 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
177.950 * * [simplify]: iters left: 6 (51 enodes)
177.976 * * [simplify]: iters left: 5 (256 enodes)
178.063 * * [simplify]: Extracting #0: cost 1 inf + 0
178.063 * * [simplify]: Extracting #1: cost 3 inf + 0
178.063 * * [simplify]: Extracting #2: cost 6 inf + 0
178.063 * * [simplify]: Extracting #3: cost 56 inf + 0
178.064 * * [simplify]: Extracting #4: cost 130 inf + 0
178.064 * * [simplify]: Extracting #5: cost 214 inf + 0
178.065 * * [simplify]: Extracting #6: cost 304 inf + 551
178.067 * * [simplify]: Extracting #7: cost 258 inf + 11769
178.073 * * [simplify]: Extracting #8: cost 132 inf + 43484
178.086 * * [simplify]: Extracting #9: cost 53 inf + 74523
178.128 * * [simplify]: Extracting #10: cost 11 inf + 114315
178.177 * * [simplify]: Extracting #11: cost 1 inf + 128325
178.215 * * [simplify]: Extracting #12: cost 0 inf + 130390
178.252 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))
178.252 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
178.254 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
178.254 * * [simplify]: iters left: 6 (26 enodes)
178.266 * * [simplify]: iters left: 5 (126 enodes)
178.320 * * [simplify]: iters left: 4 (399 enodes)
178.621 * * [simplify]: Extracting #0: cost 1 inf + 0
178.621 * * [simplify]: Extracting #1: cost 3 inf + 0
178.621 * * [simplify]: Extracting #2: cost 43 inf + 0
178.622 * * [simplify]: Extracting #3: cost 308 inf + 0
178.624 * * [simplify]: Extracting #4: cost 504 inf + 2
178.630 * * [simplify]: Extracting #5: cost 553 inf + 4941
178.663 * * [simplify]: Extracting #6: cost 253 inf + 119189
178.745 * * [simplify]: Extracting #7: cost 11 inf + 240215
178.844 * * [simplify]: Extracting #8: cost 0 inf + 233683
178.952 * * [simplify]: Extracting #9: cost 0 inf + 233443
179.029 * [simplify]: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))
179.029 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))))
179.030 * * * * [progress]: [ 163 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
179.030 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
179.031 * * [simplify]: iters left: 6 (52 enodes)
179.055 * * [simplify]: iters left: 5 (265 enodes)
179.173 * * [simplify]: Extracting #0: cost 1 inf + 0
179.173 * * [simplify]: Extracting #1: cost 3 inf + 0
179.173 * * [simplify]: Extracting #2: cost 6 inf + 0
179.174 * * [simplify]: Extracting #3: cost 60 inf + 0
179.174 * * [simplify]: Extracting #4: cost 153 inf + 0
179.175 * * [simplify]: Extracting #5: cost 226 inf + 127
179.178 * * [simplify]: Extracting #6: cost 278 inf + 5088
179.183 * * [simplify]: Extracting #7: cost 251 inf + 12656
179.194 * * [simplify]: Extracting #8: cost 146 inf + 35707
179.205 * * [simplify]: Extracting #9: cost 70 inf + 65005
179.226 * * [simplify]: Extracting #10: cost 33 inf + 93925
179.251 * * [simplify]: Extracting #11: cost 4 inf + 128467
179.277 * * [simplify]: Extracting #12: cost 0 inf + 133327
179.317 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))
179.318 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
179.318 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
179.319 * * [simplify]: iters left: 6 (27 enodes)
179.325 * * [simplify]: iters left: 5 (130 enodes)
179.355 * * [simplify]: iters left: 4 (396 enodes)
179.553 * * [simplify]: Extracting #0: cost 1 inf + 0
179.553 * * [simplify]: Extracting #1: cost 3 inf + 0
179.556 * * [simplify]: Extracting #2: cost 66 inf + 0
179.557 * * [simplify]: Extracting #3: cost 312 inf + 0
179.559 * * [simplify]: Extracting #4: cost 439 inf + 86
179.561 * * [simplify]: Extracting #5: cost 492 inf + 3134
179.587 * * [simplify]: Extracting #6: cost 243 inf + 105139
179.679 * * [simplify]: Extracting #7: cost 14 inf + 206780
179.754 * * [simplify]: Extracting #8: cost 0 inf + 207350
179.851 * * [simplify]: Extracting #9: cost 0 inf + 206550
179.949 * [simplify]: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
179.949 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ phi2 phi1) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
179.950 * * * * [progress]: [ 164 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
179.951 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
179.951 * * [simplify]: iters left: 6 (52 enodes)
179.979 * * [simplify]: iters left: 5 (265 enodes)
180.087 * * [simplify]: Extracting #0: cost 1 inf + 0
180.087 * * [simplify]: Extracting #1: cost 3 inf + 0
180.087 * * [simplify]: Extracting #2: cost 6 inf + 0
180.087 * * [simplify]: Extracting #3: cost 62 inf + 0
180.087 * * [simplify]: Extracting #4: cost 151 inf + 0
180.088 * * [simplify]: Extracting #5: cost 223 inf + 85
180.089 * * [simplify]: Extracting #6: cost 284 inf + 3307
180.091 * * [simplify]: Extracting #7: cost 251 inf + 11786
180.095 * * [simplify]: Extracting #8: cost 179 inf + 23718
180.109 * * [simplify]: Extracting #9: cost 104 inf + 51026
180.138 * * [simplify]: Extracting #10: cost 50 inf + 79180
180.169 * * [simplify]: Extracting #11: cost 11 inf + 115924
180.206 * * [simplify]: Extracting #12: cost 0 inf + 129839
180.258 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))
180.258 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
180.260 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
180.260 * * [simplify]: iters left: 6 (27 enodes)
180.273 * * [simplify]: iters left: 5 (130 enodes)
180.329 * * [simplify]: iters left: 4 (394 enodes)
180.588 * * [simplify]: Extracting #0: cost 1 inf + 0
180.588 * * [simplify]: Extracting #1: cost 3 inf + 0
180.588 * * [simplify]: Extracting #2: cost 60 inf + 0
180.590 * * [simplify]: Extracting #3: cost 295 inf + 0
180.592 * * [simplify]: Extracting #4: cost 402 inf + 453
180.599 * * [simplify]: Extracting #5: cost 435 inf + 6577
180.615 * * [simplify]: Extracting #6: cost 291 inf + 42908
180.662 * * [simplify]: Extracting #7: cost 103 inf + 125589
180.723 * * [simplify]: Extracting #8: cost 16 inf + 181279
180.815 * * [simplify]: Extracting #9: cost 0 inf + 187102
180.908 * * [simplify]: Extracting #10: cost 0 inf + 185822
180.997 * [simplify]: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
180.998 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
180.999 * * * * [progress]: [ 165 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
180.999 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
181.000 * * [simplify]: iters left: 6 (46 enodes)
181.025 * * [simplify]: iters left: 5 (229 enodes)
181.118 * * [simplify]: Extracting #0: cost 1 inf + 0
181.118 * * [simplify]: Extracting #1: cost 3 inf + 0
181.118 * * [simplify]: Extracting #2: cost 6 inf + 0
181.119 * * [simplify]: Extracting #3: cost 54 inf + 0
181.119 * * [simplify]: Extracting #4: cost 119 inf + 0
181.119 * * [simplify]: Extracting #5: cost 171 inf + 126
181.120 * * [simplify]: Extracting #6: cost 248 inf + 990
181.121 * * [simplify]: Extracting #7: cost 246 inf + 2414
181.124 * * [simplify]: Extracting #8: cost 165 inf + 18852
181.134 * * [simplify]: Extracting #9: cost 90 inf + 40949
181.146 * * [simplify]: Extracting #10: cost 44 inf + 65751
181.170 * * [simplify]: Extracting #11: cost 6 inf + 99108
181.212 * * [simplify]: Extracting #12: cost 1 inf + 106113
181.243 * * [simplify]: Extracting #13: cost 0 inf + 107978
181.265 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))))
181.265 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
181.266 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))
181.266 * * [simplify]: iters left: 6 (22 enodes)
181.273 * * [simplify]: iters left: 5 (108 enodes)
181.297 * * [simplify]: iters left: 4 (324 enodes)
181.450 * * [simplify]: Extracting #0: cost 1 inf + 0
181.450 * * [simplify]: Extracting #1: cost 3 inf + 0
181.450 * * [simplify]: Extracting #2: cost 34 inf + 0
181.451 * * [simplify]: Extracting #3: cost 155 inf + 0
181.452 * * [simplify]: Extracting #4: cost 248 inf + 85
181.455 * * [simplify]: Extracting #5: cost 386 inf + 2606
181.463 * * [simplify]: Extracting #6: cost 267 inf + 20127
181.484 * * [simplify]: Extracting #7: cost 60 inf + 82015
181.523 * * [simplify]: Extracting #8: cost 0 inf + 112138
181.575 * * [simplify]: Extracting #9: cost 0 inf + 112098
181.604 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1)) (* (+ phi2 phi1) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))
181.604 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1)) (* (+ phi2 phi1) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))))))
181.604 * * * * [progress]: [ 166 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
181.605 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
181.605 * * [simplify]: iters left: 6 (51 enodes)
181.627 * * [simplify]: iters left: 5 (257 enodes)
181.708 * * [simplify]: Extracting #0: cost 1 inf + 0
181.708 * * [simplify]: Extracting #1: cost 3 inf + 0
181.708 * * [simplify]: Extracting #2: cost 10 inf + 0
181.708 * * [simplify]: Extracting #3: cost 74 inf + 0
181.709 * * [simplify]: Extracting #4: cost 136 inf + 42
181.710 * * [simplify]: Extracting #5: cost 193 inf + 249
181.712 * * [simplify]: Extracting #6: cost 270 inf + 2042
181.715 * * [simplify]: Extracting #7: cost 244 inf + 9543
181.722 * * [simplify]: Extracting #8: cost 166 inf + 23689
181.736 * * [simplify]: Extracting #9: cost 103 inf + 45466
181.756 * * [simplify]: Extracting #10: cost 36 inf + 82449
181.778 * * [simplify]: Extracting #11: cost 5 inf + 114544
181.831 * * [simplify]: Extracting #12: cost 1 inf + 121684
181.860 * * [simplify]: Extracting #13: cost 0 inf + 123749
181.895 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))))
181.895 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
181.896 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
181.896 * * [simplify]: iters left: 6 (25 enodes)
181.902 * * [simplify]: iters left: 5 (121 enodes)
181.941 * * [simplify]: iters left: 4 (342 enodes)
182.097 * * [simplify]: Extracting #0: cost 1 inf + 0
182.097 * * [simplify]: Extracting #1: cost 3 inf + 0
182.097 * * [simplify]: Extracting #2: cost 33 inf + 0
182.097 * * [simplify]: Extracting #3: cost 144 inf + 0
182.098 * * [simplify]: Extracting #4: cost 260 inf + 44
182.100 * * [simplify]: Extracting #5: cost 404 inf + 576
182.104 * * [simplify]: Extracting #6: cost 308 inf + 13007
182.124 * * [simplify]: Extracting #7: cost 89 inf + 80944
182.162 * * [simplify]: Extracting #8: cost 0 inf + 125065
182.205 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))
182.205 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))))
182.206 * * * * [progress]: [ 167 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
182.206 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
182.207 * * [simplify]: iters left: 6 (46 enodes)
182.219 * * [simplify]: iters left: 5 (229 enodes)
182.311 * * [simplify]: Extracting #0: cost 1 inf + 0
182.311 * * [simplify]: Extracting #1: cost 3 inf + 0
182.311 * * [simplify]: Extracting #2: cost 10 inf + 0
182.311 * * [simplify]: Extracting #3: cost 66 inf + 0
182.312 * * [simplify]: Extracting #4: cost 117 inf + 44
182.313 * * [simplify]: Extracting #5: cost 160 inf + 740
182.315 * * [simplify]: Extracting #6: cost 235 inf + 2770
182.317 * * [simplify]: Extracting #7: cost 242 inf + 3218
182.322 * * [simplify]: Extracting #8: cost 180 inf + 14388
182.335 * * [simplify]: Extracting #9: cost 97 inf + 42577
182.355 * * [simplify]: Extracting #10: cost 42 inf + 65806
182.372 * * [simplify]: Extracting #11: cost 22 inf + 78718
182.403 * * [simplify]: Extracting #12: cost 2 inf + 101218
182.426 * * [simplify]: Extracting #13: cost 0 inf + 104908
182.458 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ phi2 phi1)))))
182.458 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
182.459 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))
182.460 * * [simplify]: iters left: 6 (21 enodes)
182.468 * * [simplify]: iters left: 5 (103 enodes)
182.506 * * [simplify]: iters left: 4 (284 enodes)
182.648 * * [simplify]: Extracting #0: cost 1 inf + 0
182.648 * * [simplify]: Extracting #1: cost 3 inf + 0
182.648 * * [simplify]: Extracting #2: cost 23 inf + 0
182.649 * * [simplify]: Extracting #3: cost 70 inf + 0
182.649 * * [simplify]: Extracting #4: cost 148 inf + 2
182.651 * * [simplify]: Extracting #5: cost 301 inf + 44
182.654 * * [simplify]: Extracting #6: cost 268 inf + 3504
182.665 * * [simplify]: Extracting #7: cost 88 inf + 38442
182.681 * * [simplify]: Extracting #8: cost 6 inf + 66527
182.715 * * [simplify]: Extracting #9: cost 0 inf + 69708
182.734 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
182.734 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))))
182.735 * * * * [progress]: [ 168 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
182.735 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
182.735 * * [simplify]: iters left: 6 (51 enodes)
182.755 * * [simplify]: iters left: 5 (257 enodes)
182.847 * * [simplify]: Extracting #0: cost 1 inf + 0
182.847 * * [simplify]: Extracting #1: cost 3 inf + 0
182.847 * * [simplify]: Extracting #2: cost 10 inf + 0
182.847 * * [simplify]: Extracting #3: cost 74 inf + 0
182.848 * * [simplify]: Extracting #4: cost 136 inf + 42
182.849 * * [simplify]: Extracting #5: cost 193 inf + 248
182.851 * * [simplify]: Extracting #6: cost 270 inf + 2040
182.855 * * [simplify]: Extracting #7: cost 240 inf + 10309
182.861 * * [simplify]: Extracting #8: cost 171 inf + 22749
182.876 * * [simplify]: Extracting #9: cost 102 inf + 45872
182.904 * * [simplify]: Extracting #10: cost 37 inf + 82645
182.946 * * [simplify]: Extracting #11: cost 5 inf + 115504
182.972 * * [simplify]: Extracting #12: cost 1 inf + 122644
183.026 * * [simplify]: Extracting #13: cost 0 inf + 124709
183.064 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))))
183.064 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
183.065 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
183.065 * * [simplify]: iters left: 6 (25 enodes)
183.071 * * [simplify]: iters left: 5 (121 enodes)
183.107 * * [simplify]: iters left: 4 (342 enodes)
183.274 * * [simplify]: Extracting #0: cost 1 inf + 0
183.274 * * [simplify]: Extracting #1: cost 3 inf + 0
183.274 * * [simplify]: Extracting #2: cost 33 inf + 0
183.275 * * [simplify]: Extracting #3: cost 144 inf + 0
183.275 * * [simplify]: Extracting #4: cost 260 inf + 44
183.277 * * [simplify]: Extracting #5: cost 404 inf + 576
183.280 * * [simplify]: Extracting #6: cost 308 inf + 13007
183.296 * * [simplify]: Extracting #7: cost 89 inf + 80944
183.348 * * [simplify]: Extracting #8: cost 0 inf + 125065
183.407 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))
183.407 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))))
183.408 * * * * [progress]: [ 169 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
183.409 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
183.409 * * [simplify]: iters left: 6 (46 enodes)
183.433 * * [simplify]: iters left: 5 (229 enodes)
183.510 * * [simplify]: Extracting #0: cost 1 inf + 0
183.510 * * [simplify]: Extracting #1: cost 3 inf + 0
183.510 * * [simplify]: Extracting #2: cost 10 inf + 0
183.511 * * [simplify]: Extracting #3: cost 65 inf + 0
183.511 * * [simplify]: Extracting #4: cost 117 inf + 44
183.512 * * [simplify]: Extracting #5: cost 161 inf + 538
183.514 * * [simplify]: Extracting #6: cost 235 inf + 2770
183.516 * * [simplify]: Extracting #7: cost 241 inf + 3299
183.521 * * [simplify]: Extracting #8: cost 182 inf + 14025
183.535 * * [simplify]: Extracting #9: cost 98 inf + 42594
183.559 * * [simplify]: Extracting #10: cost 42 inf + 66417
183.587 * * [simplify]: Extracting #11: cost 21 inf + 80023
183.629 * * [simplify]: Extracting #12: cost 2 inf + 101618
183.669 * * [simplify]: Extracting #13: cost 0 inf + 105308
183.691 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ phi2 phi1)))))
183.691 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
183.692 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))
183.692 * * [simplify]: iters left: 6 (21 enodes)
183.697 * * [simplify]: iters left: 5 (103 enodes)
183.736 * * [simplify]: iters left: 4 (284 enodes)
183.894 * * [simplify]: Extracting #0: cost 1 inf + 0
183.894 * * [simplify]: Extracting #1: cost 3 inf + 0
183.894 * * [simplify]: Extracting #2: cost 23 inf + 0
183.894 * * [simplify]: Extracting #3: cost 70 inf + 0
183.895 * * [simplify]: Extracting #4: cost 148 inf + 2
183.897 * * [simplify]: Extracting #5: cost 301 inf + 44
183.900 * * [simplify]: Extracting #6: cost 268 inf + 3504
183.914 * * [simplify]: Extracting #7: cost 88 inf + 38442
183.943 * * [simplify]: Extracting #8: cost 6 inf + 66527
183.975 * * [simplify]: Extracting #9: cost 0 inf + 69708
184.008 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
184.009 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))))
184.010 * * * * [progress]: [ 170 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
184.010 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
184.011 * * [simplify]: iters left: 6 (52 enodes)
184.041 * * [simplify]: iters left: 5 (253 enodes)
184.145 * * [simplify]: Extracting #0: cost 1 inf + 0
184.145 * * [simplify]: Extracting #1: cost 3 inf + 0
184.145 * * [simplify]: Extracting #2: cost 6 inf + 0
184.145 * * [simplify]: Extracting #3: cost 56 inf + 0
184.145 * * [simplify]: Extracting #4: cost 130 inf + 0
184.145 * * [simplify]: Extracting #5: cost 216 inf + 0
184.146 * * [simplify]: Extracting #6: cost 304 inf + 722
184.148 * * [simplify]: Extracting #7: cost 269 inf + 6553
184.156 * * [simplify]: Extracting #8: cost 153 inf + 36022
184.166 * * [simplify]: Extracting #9: cost 69 inf + 62771
184.193 * * [simplify]: Extracting #10: cost 38 inf + 85241
184.236 * * [simplify]: Extracting #11: cost 8 inf + 118012
184.288 * * [simplify]: Extracting #12: cost 0 inf + 129488
184.322 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
184.322 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
184.323 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
184.324 * * [simplify]: iters left: 6 (25 enodes)
184.335 * * [simplify]: iters left: 5 (117 enodes)
184.363 * * [simplify]: iters left: 4 (377 enodes)
184.649 * * [simplify]: Extracting #0: cost 1 inf + 0
184.649 * * [simplify]: Extracting #1: cost 3 inf + 0
184.649 * * [simplify]: Extracting #2: cost 44 inf + 0
184.650 * * [simplify]: Extracting #3: cost 305 inf + 0
184.654 * * [simplify]: Extracting #4: cost 492 inf + 248
184.661 * * [simplify]: Extracting #5: cost 517 inf + 10322
184.712 * * [simplify]: Extracting #6: cost 245 inf + 122725
184.802 * * [simplify]: Extracting #7: cost 1 inf + 242832
184.883 * * [simplify]: Extracting #8: cost 0 inf + 230794
184.958 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))
184.958 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))))
184.959 * * * * [progress]: [ 171 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
184.959 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
184.960 * * [simplify]: iters left: 6 (53 enodes)
184.986 * * [simplify]: iters left: 5 (262 enodes)
185.051 * * [simplify]: Extracting #0: cost 1 inf + 0
185.051 * * [simplify]: Extracting #1: cost 3 inf + 0
185.052 * * [simplify]: Extracting #2: cost 6 inf + 0
185.052 * * [simplify]: Extracting #3: cost 60 inf + 0
185.052 * * [simplify]: Extracting #4: cost 153 inf + 0
185.053 * * [simplify]: Extracting #5: cost 230 inf + 44
185.054 * * [simplify]: Extracting #6: cost 282 inf + 4400
185.057 * * [simplify]: Extracting #7: cost 251 inf + 10132
185.060 * * [simplify]: Extracting #8: cost 188 inf + 21808
185.075 * * [simplify]: Extracting #9: cost 105 inf + 51826
185.089 * * [simplify]: Extracting #10: cost 53 inf + 77180
185.106 * * [simplify]: Extracting #11: cost 36 inf + 89725
185.155 * * [simplify]: Extracting #12: cost 4 inf + 128925
185.192 * * [simplify]: Extracting #13: cost 0 inf + 134745
185.225 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
185.225 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
185.227 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
185.227 * * [simplify]: iters left: 6 (26 enodes)
185.239 * * [simplify]: iters left: 5 (121 enodes)
185.265 * * [simplify]: iters left: 4 (374 enodes)
185.473 * * [simplify]: Extracting #0: cost 1 inf + 0
185.473 * * [simplify]: Extracting #1: cost 3 inf + 0
185.473 * * [simplify]: Extracting #2: cost 69 inf + 0
185.475 * * [simplify]: Extracting #3: cost 319 inf + 0
185.478 * * [simplify]: Extracting #4: cost 439 inf + 127
185.483 * * [simplify]: Extracting #5: cost 478 inf + 6166
185.504 * * [simplify]: Extracting #6: cost 222 inf + 113671
185.572 * * [simplify]: Extracting #7: cost 6 inf + 218307
185.651 * * [simplify]: Extracting #8: cost 0 inf + 209567
185.710 * * [simplify]: Extracting #9: cost 0 inf + 209287
185.811 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1))))
185.811 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)))))))
185.812 * * * * [progress]: [ 172 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
185.813 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
185.813 * * [simplify]: iters left: 6 (53 enodes)
185.843 * * [simplify]: iters left: 5 (262 enodes)
185.912 * * [simplify]: Extracting #0: cost 1 inf + 0
185.912 * * [simplify]: Extracting #1: cost 3 inf + 0
185.912 * * [simplify]: Extracting #2: cost 6 inf + 0
185.912 * * [simplify]: Extracting #3: cost 62 inf + 0
185.913 * * [simplify]: Extracting #4: cost 151 inf + 0
185.914 * * [simplify]: Extracting #5: cost 226 inf + 44
185.916 * * [simplify]: Extracting #6: cost 286 inf + 3345
185.921 * * [simplify]: Extracting #7: cost 237 inf + 13136
185.936 * * [simplify]: Extracting #8: cost 149 inf + 33548
185.958 * * [simplify]: Extracting #9: cost 62 inf + 69641
185.973 * * [simplify]: Extracting #10: cost 37 inf + 87132
186.005 * * [simplify]: Extracting #11: cost 6 inf + 124427
186.050 * * [simplify]: Extracting #12: cost 0 inf + 132657
186.098 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
186.098 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
186.099 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
186.100 * * [simplify]: iters left: 6 (26 enodes)
186.113 * * [simplify]: iters left: 5 (121 enodes)
186.138 * * [simplify]: iters left: 4 (372 enodes)
186.370 * * [simplify]: Extracting #0: cost 1 inf + 0
186.370 * * [simplify]: Extracting #1: cost 3 inf + 0
186.370 * * [simplify]: Extracting #2: cost 61 inf + 0
186.371 * * [simplify]: Extracting #3: cost 297 inf + 0
186.376 * * [simplify]: Extracting #4: cost 399 inf + 693
186.379 * * [simplify]: Extracting #5: cost 432 inf + 7543
186.393 * * [simplify]: Extracting #6: cost 250 inf + 78907
186.454 * * [simplify]: Extracting #7: cost 3 inf + 197535
186.532 * * [simplify]: Extracting #8: cost 0 inf + 186625
186.603 * * [simplify]: Extracting #9: cost 0 inf + 186545
186.690 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
186.690 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
186.690 * * * * [progress]: [ 173 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
186.691 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
186.691 * * [simplify]: iters left: 6 (47 enodes)
186.703 * * [simplify]: iters left: 5 (226 enodes)
186.770 * * [simplify]: Extracting #0: cost 1 inf + 0
186.770 * * [simplify]: Extracting #1: cost 3 inf + 0
186.770 * * [simplify]: Extracting #2: cost 6 inf + 0
186.770 * * [simplify]: Extracting #3: cost 54 inf + 0
186.770 * * [simplify]: Extracting #4: cost 119 inf + 0
186.771 * * [simplify]: Extracting #5: cost 174 inf + 44
186.771 * * [simplify]: Extracting #6: cost 247 inf + 1192
186.773 * * [simplify]: Extracting #7: cost 237 inf + 3428
186.777 * * [simplify]: Extracting #8: cost 131 inf + 29799
186.797 * * [simplify]: Extracting #9: cost 64 inf + 57310
186.831 * * [simplify]: Extracting #10: cost 16 inf + 94248
186.872 * * [simplify]: Extracting #11: cost 1 inf + 106971
186.896 * * [simplify]: Extracting #12: cost 0 inf + 107876
186.919 * * [simplify]: Extracting #13: cost 0 inf + 107836
186.943 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))
186.943 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
186.944 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
186.944 * * [simplify]: iters left: 6 (21 enodes)
186.949 * * [simplify]: iters left: 5 (99 enodes)
186.974 * * [simplify]: iters left: 4 (302 enodes)
187.110 * * [simplify]: Extracting #0: cost 1 inf + 0
187.110 * * [simplify]: Extracting #1: cost 3 inf + 0
187.110 * * [simplify]: Extracting #2: cost 35 inf + 0
187.116 * * [simplify]: Extracting #3: cost 159 inf + 0
187.117 * * [simplify]: Extracting #4: cost 230 inf + 373
187.120 * * [simplify]: Extracting #5: cost 294 inf + 3335
187.132 * * [simplify]: Extracting #6: cost 168 inf + 39601
187.155 * * [simplify]: Extracting #7: cost 6 inf + 101549
187.199 * * [simplify]: Extracting #8: cost 0 inf + 98889
187.248 * * [simplify]: Extracting #9: cost 0 inf + 98409
187.290 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (+ phi1 phi2))))
187.290 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
187.291 * * * * [progress]: [ 174 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
187.291 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
187.291 * * [simplify]: iters left: 6 (52 enodes)
187.305 * * [simplify]: iters left: 5 (254 enodes)
187.383 * * [simplify]: Extracting #0: cost 1 inf + 0
187.383 * * [simplify]: Extracting #1: cost 3 inf + 0
187.383 * * [simplify]: Extracting #2: cost 10 inf + 0
187.383 * * [simplify]: Extracting #3: cost 74 inf + 0
187.384 * * [simplify]: Extracting #4: cost 137 inf + 1
187.385 * * [simplify]: Extracting #5: cost 196 inf + 207
187.387 * * [simplify]: Extracting #6: cost 262 inf + 3575
187.391 * * [simplify]: Extracting #7: cost 249 inf + 7428
187.401 * * [simplify]: Extracting #8: cost 138 inf + 37036
187.424 * * [simplify]: Extracting #9: cost 46 inf + 74066
187.462 * * [simplify]: Extracting #10: cost 13 inf + 108522
187.511 * * [simplify]: Extracting #11: cost 1 inf + 123142
187.552 * * [simplify]: Extracting #12: cost 0 inf + 125207
187.596 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))))
187.596 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
187.597 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
187.598 * * [simplify]: iters left: 6 (24 enodes)
187.609 * * [simplify]: iters left: 5 (112 enodes)
187.650 * * [simplify]: iters left: 4 (319 enodes)
187.813 * * [simplify]: Extracting #0: cost 1 inf + 0
187.813 * * [simplify]: Extracting #1: cost 3 inf + 0
187.813 * * [simplify]: Extracting #2: cost 33 inf + 0
187.814 * * [simplify]: Extracting #3: cost 144 inf + 0
187.815 * * [simplify]: Extracting #4: cost 240 inf + 290
187.818 * * [simplify]: Extracting #5: cost 314 inf + 986
187.830 * * [simplify]: Extracting #6: cost 205 inf + 31641
187.879 * * [simplify]: Extracting #7: cost 14 inf + 111691
187.924 * * [simplify]: Extracting #8: cost 0 inf + 111339
187.979 * * [simplify]: Extracting #9: cost 0 inf + 109859
188.014 * [simplify]: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))
188.014 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))))
188.014 * * * * [progress]: [ 175 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
188.015 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
188.015 * * [simplify]: iters left: 6 (47 enodes)
188.028 * * [simplify]: iters left: 5 (226 enodes)
188.089 * * [simplify]: Extracting #0: cost 1 inf + 0
188.089 * * [simplify]: Extracting #1: cost 3 inf + 0
188.089 * * [simplify]: Extracting #2: cost 10 inf + 0
188.089 * * [simplify]: Extracting #3: cost 66 inf + 0
188.090 * * [simplify]: Extracting #4: cost 117 inf + 44
188.090 * * [simplify]: Extracting #5: cost 158 inf + 1348
188.091 * * [simplify]: Extracting #6: cost 234 inf + 2972
188.093 * * [simplify]: Extracting #7: cost 235 inf + 3506
188.096 * * [simplify]: Extracting #8: cost 165 inf + 19805
188.105 * * [simplify]: Extracting #9: cost 68 inf + 55875
188.122 * * [simplify]: Extracting #10: cost 13 inf + 94707
188.163 * * [simplify]: Extracting #11: cost 0 inf + 105486
188.205 * * [simplify]: Extracting #12: cost 0 inf + 104646
188.244 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))
188.244 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
188.245 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
188.245 * * [simplify]: iters left: 6 (20 enodes)
188.254 * * [simplify]: iters left: 5 (94 enodes)
188.290 * * [simplify]: iters left: 4 (262 enodes)
188.399 * * [simplify]: Extracting #0: cost 1 inf + 0
188.399 * * [simplify]: Extracting #1: cost 3 inf + 0
188.399 * * [simplify]: Extracting #2: cost 23 inf + 0
188.400 * * [simplify]: Extracting #3: cost 69 inf + 0
188.400 * * [simplify]: Extracting #4: cost 130 inf + 2
188.402 * * [simplify]: Extracting #5: cost 212 inf + 44
188.408 * * [simplify]: Extracting #6: cost 135 inf + 16644
188.435 * * [simplify]: Extracting #7: cost 17 inf + 50200
188.464 * * [simplify]: Extracting #8: cost 0 inf + 55049
188.492 * * [simplify]: Extracting #9: cost 0 inf + 54209
188.521 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ phi1 phi2) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))
188.521 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ phi1 phi2) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))))
188.522 * * * * [progress]: [ 176 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
188.522 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
188.523 * * [simplify]: iters left: 6 (52 enodes)
188.552 * * [simplify]: iters left: 5 (254 enodes)
188.642 * * [simplify]: Extracting #0: cost 1 inf + 0
188.642 * * [simplify]: Extracting #1: cost 3 inf + 0
188.642 * * [simplify]: Extracting #2: cost 10 inf + 0
188.642 * * [simplify]: Extracting #3: cost 74 inf + 0
188.642 * * [simplify]: Extracting #4: cost 137 inf + 1
188.643 * * [simplify]: Extracting #5: cost 196 inf + 207
188.643 * * [simplify]: Extracting #6: cost 272 inf + 1797
188.645 * * [simplify]: Extracting #7: cost 250 inf + 7146
188.650 * * [simplify]: Extracting #8: cost 140 inf + 35614
188.666 * * [simplify]: Extracting #9: cost 45 inf + 75989
188.690 * * [simplify]: Extracting #10: cost 6 inf + 116337
188.729 * * [simplify]: Extracting #11: cost 1 inf + 124262
188.779 * * [simplify]: Extracting #12: cost 0 inf + 126327
188.811 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))))
188.811 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
188.811 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
188.812 * * [simplify]: iters left: 6 (24 enodes)
188.817 * * [simplify]: iters left: 5 (112 enodes)
188.846 * * [simplify]: iters left: 4 (319 enodes)
188.976 * * [simplify]: Extracting #0: cost 1 inf + 0
188.976 * * [simplify]: Extracting #1: cost 3 inf + 0
188.976 * * [simplify]: Extracting #2: cost 33 inf + 0
188.977 * * [simplify]: Extracting #3: cost 144 inf + 0
188.978 * * [simplify]: Extracting #4: cost 240 inf + 290
188.979 * * [simplify]: Extracting #5: cost 314 inf + 986
188.985 * * [simplify]: Extracting #6: cost 205 inf + 31641
189.013 * * [simplify]: Extracting #7: cost 14 inf + 111691
189.068 * * [simplify]: Extracting #8: cost 0 inf + 111339
189.116 * * [simplify]: Extracting #9: cost 0 inf + 109859
189.153 * [simplify]: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))
189.153 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))))
189.154 * * * * [progress]: [ 177 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
189.155 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
189.155 * * [simplify]: iters left: 6 (47 enodes)
189.171 * * [simplify]: iters left: 5 (226 enodes)
189.238 * * [simplify]: Extracting #0: cost 1 inf + 0
189.238 * * [simplify]: Extracting #1: cost 3 inf + 0
189.238 * * [simplify]: Extracting #2: cost 10 inf + 0
189.238 * * [simplify]: Extracting #3: cost 65 inf + 0
189.239 * * [simplify]: Extracting #4: cost 116 inf + 86
189.240 * * [simplify]: Extracting #5: cost 157 inf + 1350
189.242 * * [simplify]: Extracting #6: cost 234 inf + 2932
189.244 * * [simplify]: Extracting #7: cost 233 inf + 3709
189.250 * * [simplify]: Extracting #8: cost 165 inf + 20147
189.266 * * [simplify]: Extracting #9: cost 75 inf + 51197
189.282 * * [simplify]: Extracting #10: cost 17 inf + 91934
189.317 * * [simplify]: Extracting #11: cost 0 inf + 106206
189.344 * * [simplify]: Extracting #12: cost 0 inf + 105206
189.374 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))
189.374 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
189.375 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
189.376 * * [simplify]: iters left: 6 (20 enodes)
189.385 * * [simplify]: iters left: 5 (94 enodes)
189.422 * * [simplify]: iters left: 4 (262 enodes)
189.539 * * [simplify]: Extracting #0: cost 1 inf + 0
189.539 * * [simplify]: Extracting #1: cost 3 inf + 0
189.539 * * [simplify]: Extracting #2: cost 23 inf + 0
189.540 * * [simplify]: Extracting #3: cost 69 inf + 0
189.540 * * [simplify]: Extracting #4: cost 130 inf + 2
189.542 * * [simplify]: Extracting #5: cost 212 inf + 44
189.547 * * [simplify]: Extracting #6: cost 135 inf + 16644
189.559 * * [simplify]: Extracting #7: cost 17 inf + 50200
189.574 * * [simplify]: Extracting #8: cost 0 inf + 55049
189.603 * * [simplify]: Extracting #9: cost 0 inf + 54209
189.633 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ phi1 phi2) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))
189.634 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ phi1 phi2) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))))
189.635 * * * * [progress]: [ 178 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
189.635 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
189.636 * * [simplify]: iters left: 6 (52 enodes)
189.662 * * [simplify]: iters left: 5 (254 enodes)
189.770 * * [simplify]: Extracting #0: cost 1 inf + 0
189.771 * * [simplify]: Extracting #1: cost 3 inf + 0
189.771 * * [simplify]: Extracting #2: cost 6 inf + 0
189.771 * * [simplify]: Extracting #3: cost 56 inf + 0
189.772 * * [simplify]: Extracting #4: cost 130 inf + 0
189.777 * * [simplify]: Extracting #5: cost 211 inf + 0
189.778 * * [simplify]: Extracting #6: cost 296 inf + 760
189.782 * * [simplify]: Extracting #7: cost 249 inf + 10693
189.791 * * [simplify]: Extracting #8: cost 163 inf + 27737
189.807 * * [simplify]: Extracting #9: cost 96 inf + 52004
189.834 * * [simplify]: Extracting #10: cost 41 inf + 80193
189.874 * * [simplify]: Extracting #11: cost 10 inf + 115408
189.923 * * [simplify]: Extracting #12: cost 1 inf + 128353
189.973 * * [simplify]: Extracting #13: cost 0 inf + 130418
190.012 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1))))))
190.012 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
190.013 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
190.014 * * [simplify]: iters left: 6 (25 enodes)
190.019 * * [simplify]: iters left: 5 (117 enodes)
190.048 * * [simplify]: iters left: 4 (377 enodes)
190.281 * * [simplify]: Extracting #0: cost 1 inf + 0
190.281 * * [simplify]: Extracting #1: cost 3 inf + 0
190.281 * * [simplify]: Extracting #2: cost 44 inf + 0
190.283 * * [simplify]: Extracting #3: cost 305 inf + 0
190.286 * * [simplify]: Extracting #4: cost 488 inf + 248
190.295 * * [simplify]: Extracting #5: cost 486 inf + 16524
190.347 * * [simplify]: Extracting #6: cost 214 inf + 125617
190.425 * * [simplify]: Extracting #7: cost 1 inf + 222592
190.508 * * [simplify]: Extracting #8: cost 0 inf + 222634
190.581 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))
190.581 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))))
190.582 * * * * [progress]: [ 179 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
190.582 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
190.583 * * [simplify]: iters left: 6 (53 enodes)
190.610 * * [simplify]: iters left: 5 (263 enodes)
190.723 * * [simplify]: Extracting #0: cost 1 inf + 0
190.723 * * [simplify]: Extracting #1: cost 3 inf + 0
190.723 * * [simplify]: Extracting #2: cost 6 inf + 0
190.724 * * [simplify]: Extracting #3: cost 60 inf + 0
190.724 * * [simplify]: Extracting #4: cost 153 inf + 0
190.725 * * [simplify]: Extracting #5: cost 225 inf + 44
190.728 * * [simplify]: Extracting #6: cost 278 inf + 4122
190.733 * * [simplify]: Extracting #7: cost 235 inf + 15228
190.743 * * [simplify]: Extracting #8: cost 170 inf + 29545
190.761 * * [simplify]: Extracting #9: cost 98 inf + 56135
190.786 * * [simplify]: Extracting #10: cost 47 inf + 81500
190.812 * * [simplify]: Extracting #11: cost 12 inf + 116855
190.845 * * [simplify]: Extracting #12: cost 0 inf + 131675
190.880 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
190.880 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
190.881 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
190.881 * * [simplify]: iters left: 6 (26 enodes)
190.887 * * [simplify]: iters left: 5 (121 enodes)
190.921 * * [simplify]: iters left: 4 (374 enodes)
191.193 * * [simplify]: Extracting #0: cost 1 inf + 0
191.193 * * [simplify]: Extracting #1: cost 3 inf + 0
191.193 * * [simplify]: Extracting #2: cost 69 inf + 0
191.195 * * [simplify]: Extracting #3: cost 319 inf + 0
191.198 * * [simplify]: Extracting #4: cost 435 inf + 127
191.205 * * [simplify]: Extracting #5: cost 447 inf + 11326
191.246 * * [simplify]: Extracting #6: cost 179 inf + 116721
191.346 * * [simplify]: Extracting #7: cost 2 inf + 201243
191.412 * * [simplify]: Extracting #8: cost 0 inf + 201607
191.483 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1))))
191.483 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)))))))
191.484 * * * * [progress]: [ 180 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
191.485 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
191.485 * * [simplify]: iters left: 6 (53 enodes)
191.500 * * [simplify]: iters left: 5 (263 enodes)
191.596 * * [simplify]: Extracting #0: cost 1 inf + 0
191.596 * * [simplify]: Extracting #1: cost 3 inf + 0
191.596 * * [simplify]: Extracting #2: cost 6 inf + 0
191.596 * * [simplify]: Extracting #3: cost 62 inf + 0
191.596 * * [simplify]: Extracting #4: cost 151 inf + 0
191.597 * * [simplify]: Extracting #5: cost 221 inf + 44
191.598 * * [simplify]: Extracting #6: cost 274 inf + 4080
191.601 * * [simplify]: Extracting #7: cost 227 inf + 16154
191.607 * * [simplify]: Extracting #8: cost 144 inf + 36960
191.619 * * [simplify]: Extracting #9: cost 64 inf + 66660
191.646 * * [simplify]: Extracting #10: cost 36 inf + 86647
191.694 * * [simplify]: Extracting #11: cost 8 inf + 118187
191.728 * * [simplify]: Extracting #12: cost 0 inf + 130667
191.759 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
191.759 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
191.760 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
191.761 * * [simplify]: iters left: 6 (26 enodes)
191.773 * * [simplify]: iters left: 5 (121 enodes)
191.800 * * [simplify]: iters left: 4 (372 enodes)
192.005 * * [simplify]: Extracting #0: cost 1 inf + 0
192.005 * * [simplify]: Extracting #1: cost 3 inf + 0
192.005 * * [simplify]: Extracting #2: cost 61 inf + 0
192.006 * * [simplify]: Extracting #3: cost 297 inf + 0
192.009 * * [simplify]: Extracting #4: cost 395 inf + 693
192.017 * * [simplify]: Extracting #5: cost 396 inf + 13809
192.050 * * [simplify]: Extracting #6: cost 211 inf + 85008
192.098 * * [simplify]: Extracting #7: cost 1 inf + 178503
192.153 * * [simplify]: Extracting #8: cost 0 inf + 178665
192.209 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
192.209 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
192.210 * * * * [progress]: [ 181 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
192.210 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
192.211 * * [simplify]: iters left: 6 (47 enodes)
192.236 * * [simplify]: iters left: 5 (227 enodes)
192.287 * * [simplify]: Extracting #0: cost 1 inf + 0
192.287 * * [simplify]: Extracting #1: cost 3 inf + 0
192.287 * * [simplify]: Extracting #2: cost 6 inf + 0
192.287 * * [simplify]: Extracting #3: cost 54 inf + 0
192.287 * * [simplify]: Extracting #4: cost 119 inf + 0
192.288 * * [simplify]: Extracting #5: cost 169 inf + 44
192.289 * * [simplify]: Extracting #6: cost 241 inf + 1237
192.290 * * [simplify]: Extracting #7: cost 225 inf + 4937
192.297 * * [simplify]: Extracting #8: cost 128 inf + 28328
192.306 * * [simplify]: Extracting #9: cost 64 inf + 53373
192.334 * * [simplify]: Extracting #10: cost 15 inf + 92021
192.376 * * [simplify]: Extracting #11: cost 1 inf + 106621
192.420 * * [simplify]: Extracting #12: cost 0 inf + 108526
192.465 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))
192.465 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
192.466 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))
192.467 * * [simplify]: iters left: 6 (21 enodes)
192.479 * * [simplify]: iters left: 5 (99 enodes)
192.518 * * [simplify]: iters left: 4 (302 enodes)
192.630 * * [simplify]: Extracting #0: cost 1 inf + 0
192.630 * * [simplify]: Extracting #1: cost 3 inf + 0
192.630 * * [simplify]: Extracting #2: cost 35 inf + 0
192.631 * * [simplify]: Extracting #3: cost 159 inf + 0
192.631 * * [simplify]: Extracting #4: cost 226 inf + 373
192.633 * * [simplify]: Extracting #5: cost 274 inf + 5414
192.644 * * [simplify]: Extracting #6: cost 170 inf + 34977
192.666 * * [simplify]: Extracting #7: cost 7 inf + 91387
192.701 * * [simplify]: Extracting #8: cost 0 inf + 95169
192.746 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))
192.746 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
192.748 * * * * [progress]: [ 182 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
192.748 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
192.749 * * [simplify]: iters left: 6 (52 enodes)
192.775 * * [simplify]: iters left: 5 (255 enodes)
192.886 * * [simplify]: Extracting #0: cost 1 inf + 0
192.886 * * [simplify]: Extracting #1: cost 3 inf + 0
192.886 * * [simplify]: Extracting #2: cost 10 inf + 0
192.886 * * [simplify]: Extracting #3: cost 74 inf + 0
192.887 * * [simplify]: Extracting #4: cost 137 inf + 1
192.888 * * [simplify]: Extracting #5: cost 192 inf + 165
192.890 * * [simplify]: Extracting #6: cost 255 inf + 3787
192.894 * * [simplify]: Extracting #7: cost 231 inf + 10185
192.902 * * [simplify]: Extracting #8: cost 164 inf + 24504
192.917 * * [simplify]: Extracting #9: cost 104 inf + 46480
192.937 * * [simplify]: Extracting #10: cost 57 inf + 67154
192.951 * * [simplify]: Extracting #11: cost 31 inf + 84082
192.978 * * [simplify]: Extracting #12: cost 2 inf + 118207
193.013 * * [simplify]: Extracting #13: cost 0 inf + 122137
193.047 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))
193.047 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
193.048 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
193.048 * * [simplify]: iters left: 6 (24 enodes)
193.061 * * [simplify]: iters left: 5 (112 enodes)
193.087 * * [simplify]: iters left: 4 (319 enodes)
193.213 * * [simplify]: Extracting #0: cost 1 inf + 0
193.214 * * [simplify]: Extracting #1: cost 3 inf + 0
193.214 * * [simplify]: Extracting #2: cost 33 inf + 0
193.214 * * [simplify]: Extracting #3: cost 144 inf + 0
193.215 * * [simplify]: Extracting #4: cost 236 inf + 290
193.216 * * [simplify]: Extracting #5: cost 299 inf + 2208
193.232 * * [simplify]: Extracting #6: cost 179 inf + 35855
193.261 * * [simplify]: Extracting #7: cost 11 inf + 101185
193.289 * * [simplify]: Extracting #8: cost 0 inf + 106419
193.332 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))
193.332 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))))))
193.333 * * * * [progress]: [ 183 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
193.333 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
193.333 * * [simplify]: iters left: 6 (47 enodes)
193.346 * * [simplify]: iters left: 5 (227 enodes)
193.415 * * [simplify]: Extracting #0: cost 1 inf + 0
193.415 * * [simplify]: Extracting #1: cost 3 inf + 0
193.416 * * [simplify]: Extracting #2: cost 10 inf + 0
193.416 * * [simplify]: Extracting #3: cost 66 inf + 0
193.416 * * [simplify]: Extracting #4: cost 117 inf + 44
193.417 * * [simplify]: Extracting #5: cost 152 inf + 1270
193.419 * * [simplify]: Extracting #6: cost 228 inf + 2976
193.422 * * [simplify]: Extracting #7: cost 226 inf + 4567
193.428 * * [simplify]: Extracting #8: cost 128 inf + 28037
193.444 * * [simplify]: Extracting #9: cost 54 inf + 59925
193.475 * * [simplify]: Extracting #10: cost 13 inf + 87291
193.497 * * [simplify]: Extracting #11: cost 3 inf + 97741
193.524 * * [simplify]: Extracting #12: cost 1 inf + 101351
193.559 * * [simplify]: Extracting #13: cost 0 inf + 103176
193.587 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))))
193.587 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
193.587 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
193.588 * * [simplify]: iters left: 6 (20 enodes)
193.592 * * [simplify]: iters left: 5 (94 enodes)
193.622 * * [simplify]: iters left: 4 (262 enodes)
193.748 * * [simplify]: Extracting #0: cost 1 inf + 0
193.748 * * [simplify]: Extracting #1: cost 3 inf + 0
193.748 * * [simplify]: Extracting #2: cost 23 inf + 0
193.748 * * [simplify]: Extracting #3: cost 69 inf + 0
193.749 * * [simplify]: Extracting #4: cost 126 inf + 2
193.749 * * [simplify]: Extracting #5: cost 203 inf + 88
193.752 * * [simplify]: Extracting #6: cost 140 inf + 14922
193.764 * * [simplify]: Extracting #7: cost 13 inf + 47131
193.789 * * [simplify]: Extracting #8: cost 0 inf + 52849
193.815 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2)))))
193.815 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))))))))
193.816 * * * * [progress]: [ 184 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
193.817 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
193.818 * * [simplify]: iters left: 6 (52 enodes)
193.848 * * [simplify]: iters left: 5 (255 enodes)
193.954 * * [simplify]: Extracting #0: cost 1 inf + 0
193.955 * * [simplify]: Extracting #1: cost 3 inf + 0
193.955 * * [simplify]: Extracting #2: cost 10 inf + 0
193.955 * * [simplify]: Extracting #3: cost 74 inf + 0
193.956 * * [simplify]: Extracting #4: cost 137 inf + 1
193.957 * * [simplify]: Extracting #5: cost 192 inf + 165
193.959 * * [simplify]: Extracting #6: cost 253 inf + 4108
193.963 * * [simplify]: Extracting #7: cost 229 inf + 10588
193.971 * * [simplify]: Extracting #8: cost 165 inf + 24423
193.989 * * [simplify]: Extracting #9: cost 105 inf + 46977
194.012 * * [simplify]: Extracting #10: cost 57 inf + 68114
194.040 * * [simplify]: Extracting #11: cost 31 inf + 85042
194.084 * * [simplify]: Extracting #12: cost 2 inf + 119167
194.136 * * [simplify]: Extracting #13: cost 0 inf + 123097
194.175 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))
194.175 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
194.176 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
194.176 * * [simplify]: iters left: 6 (24 enodes)
194.181 * * [simplify]: iters left: 5 (112 enodes)
194.220 * * [simplify]: iters left: 4 (319 enodes)
194.387 * * [simplify]: Extracting #0: cost 1 inf + 0
194.387 * * [simplify]: Extracting #1: cost 3 inf + 0
194.387 * * [simplify]: Extracting #2: cost 33 inf + 0
194.388 * * [simplify]: Extracting #3: cost 144 inf + 0
194.389 * * [simplify]: Extracting #4: cost 236 inf + 290
194.392 * * [simplify]: Extracting #5: cost 299 inf + 2208
194.406 * * [simplify]: Extracting #6: cost 179 inf + 35855
194.450 * * [simplify]: Extracting #7: cost 11 inf + 101185
194.503 * * [simplify]: Extracting #8: cost 0 inf + 106419
194.556 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))
194.556 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))))))
194.557 * * * * [progress]: [ 185 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
194.558 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
194.558 * * [simplify]: iters left: 6 (47 enodes)
194.582 * * [simplify]: iters left: 5 (227 enodes)
194.644 * * [simplify]: Extracting #0: cost 1 inf + 0
194.644 * * [simplify]: Extracting #1: cost 3 inf + 0
194.644 * * [simplify]: Extracting #2: cost 10 inf + 0
194.644 * * [simplify]: Extracting #3: cost 65 inf + 0
194.645 * * [simplify]: Extracting #4: cost 116 inf + 86
194.645 * * [simplify]: Extracting #5: cost 151 inf + 1472
194.646 * * [simplify]: Extracting #6: cost 229 inf + 2934
194.648 * * [simplify]: Extracting #7: cost 229 inf + 4283
194.651 * * [simplify]: Extracting #8: cost 137 inf + 24942
194.662 * * [simplify]: Extracting #9: cost 67 inf + 51572
194.677 * * [simplify]: Extracting #10: cost 16 inf + 84659
194.696 * * [simplify]: Extracting #11: cost 3 inf + 96421
194.729 * * [simplify]: Extracting #12: cost 1 inf + 99871
194.768 * * [simplify]: Extracting #13: cost 0 inf + 101696
194.797 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))
194.797 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
194.798 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
194.798 * * [simplify]: iters left: 6 (20 enodes)
194.804 * * [simplify]: iters left: 5 (94 enodes)
194.833 * * [simplify]: iters left: 4 (262 enodes)
194.915 * * [simplify]: Extracting #0: cost 1 inf + 0
194.915 * * [simplify]: Extracting #1: cost 3 inf + 0
194.915 * * [simplify]: Extracting #2: cost 23 inf + 0
194.915 * * [simplify]: Extracting #3: cost 69 inf + 0
194.915 * * [simplify]: Extracting #4: cost 126 inf + 2
194.916 * * [simplify]: Extracting #5: cost 203 inf + 88
194.922 * * [simplify]: Extracting #6: cost 140 inf + 14922
194.944 * * [simplify]: Extracting #7: cost 13 inf + 47131
194.971 * * [simplify]: Extracting #8: cost 0 inf + 52849
195.000 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2)))))
195.000 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))))))))
195.001 * * * * [progress]: [ 186 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
195.002 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
195.002 * * [simplify]: iters left: 6 (52 enodes)
195.029 * * [simplify]: iters left: 5 (254 enodes)
195.118 * * [simplify]: Extracting #0: cost 1 inf + 0
195.118 * * [simplify]: Extracting #1: cost 3 inf + 0
195.118 * * [simplify]: Extracting #2: cost 6 inf + 0
195.118 * * [simplify]: Extracting #3: cost 56 inf + 0
195.119 * * [simplify]: Extracting #4: cost 130 inf + 0
195.119 * * [simplify]: Extracting #5: cost 215 inf + 0
195.120 * * [simplify]: Extracting #6: cost 304 inf + 722
195.121 * * [simplify]: Extracting #7: cost 263 inf + 8577
195.129 * * [simplify]: Extracting #8: cost 178 inf + 23632
195.141 * * [simplify]: Extracting #9: cost 117 inf + 41527
195.165 * * [simplify]: Extracting #10: cost 52 inf + 73924
195.203 * * [simplify]: Extracting #11: cost 8 inf + 117989
195.232 * * [simplify]: Extracting #12: cost 1 inf + 127343
195.286 * * [simplify]: Extracting #13: cost 0 inf + 129328
195.338 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))
195.338 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
195.339 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
195.340 * * [simplify]: iters left: 6 (25 enodes)
195.351 * * [simplify]: iters left: 5 (117 enodes)
195.398 * * [simplify]: iters left: 4 (377 enodes)
195.616 * * [simplify]: Extracting #0: cost 1 inf + 0
195.616 * * [simplify]: Extracting #1: cost 3 inf + 0
195.616 * * [simplify]: Extracting #2: cost 44 inf + 0
195.618 * * [simplify]: Extracting #3: cost 305 inf + 0
195.621 * * [simplify]: Extracting #4: cost 492 inf + 248
195.628 * * [simplify]: Extracting #5: cost 517 inf + 10322
195.679 * * [simplify]: Extracting #6: cost 245 inf + 122725
195.788 * * [simplify]: Extracting #7: cost 1 inf + 242832
195.856 * * [simplify]: Extracting #8: cost 0 inf + 230794
195.940 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))
195.940 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))))
195.941 * * * * [progress]: [ 187 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
195.942 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
195.942 * * [simplify]: iters left: 6 (53 enodes)
195.972 * * [simplify]: iters left: 5 (263 enodes)
196.056 * * [simplify]: Extracting #0: cost 1 inf + 0
196.056 * * [simplify]: Extracting #1: cost 3 inf + 0
196.056 * * [simplify]: Extracting #2: cost 6 inf + 0
196.056 * * [simplify]: Extracting #3: cost 60 inf + 0
196.057 * * [simplify]: Extracting #4: cost 153 inf + 0
196.057 * * [simplify]: Extracting #5: cost 228 inf + 85
196.059 * * [simplify]: Extracting #6: cost 285 inf + 3833
196.064 * * [simplify]: Extracting #7: cost 250 inf + 11578
196.073 * * [simplify]: Extracting #8: cost 172 inf + 27057
196.091 * * [simplify]: Extracting #9: cost 99 inf + 55321
196.111 * * [simplify]: Extracting #10: cost 51 inf + 78590
196.136 * * [simplify]: Extracting #11: cost 11 inf + 119710
196.163 * * [simplify]: Extracting #12: cost 0 inf + 135305
196.210 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
196.210 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
196.212 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
196.212 * * [simplify]: iters left: 6 (26 enodes)
196.224 * * [simplify]: iters left: 5 (121 enodes)
196.272 * * [simplify]: iters left: 4 (374 enodes)
196.438 * * [simplify]: Extracting #0: cost 1 inf + 0
196.438 * * [simplify]: Extracting #1: cost 3 inf + 0
196.438 * * [simplify]: Extracting #2: cost 69 inf + 0
196.439 * * [simplify]: Extracting #3: cost 319 inf + 0
196.440 * * [simplify]: Extracting #4: cost 439 inf + 127
196.445 * * [simplify]: Extracting #5: cost 478 inf + 6166
196.479 * * [simplify]: Extracting #6: cost 222 inf + 113671
196.534 * * [simplify]: Extracting #7: cost 6 inf + 218307
196.599 * * [simplify]: Extracting #8: cost 0 inf + 209567
196.699 * * [simplify]: Extracting #9: cost 0 inf + 209287
196.791 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1))))
196.791 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)))))))
196.792 * * * * [progress]: [ 188 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
196.792 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
196.793 * * [simplify]: iters left: 6 (53 enodes)
196.807 * * [simplify]: iters left: 5 (263 enodes)
196.907 * * [simplify]: Extracting #0: cost 1 inf + 0
196.907 * * [simplify]: Extracting #1: cost 3 inf + 0
196.907 * * [simplify]: Extracting #2: cost 6 inf + 0
196.907 * * [simplify]: Extracting #3: cost 62 inf + 0
196.908 * * [simplify]: Extracting #4: cost 151 inf + 0
196.909 * * [simplify]: Extracting #5: cost 225 inf + 44
196.912 * * [simplify]: Extracting #6: cost 284 inf + 3749
196.917 * * [simplify]: Extracting #7: cost 243 inf + 13176
196.926 * * [simplify]: Extracting #8: cost 182 inf + 24058
196.939 * * [simplify]: Extracting #9: cost 98 inf + 57497
196.953 * * [simplify]: Extracting #10: cost 46 inf + 81987
196.974 * * [simplify]: Extracting #11: cost 13 inf + 115612
197.021 * * [simplify]: Extracting #12: cost 0 inf + 131297
197.074 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
197.074 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
197.075 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
197.075 * * [simplify]: iters left: 6 (26 enodes)
197.081 * * [simplify]: iters left: 5 (121 enodes)
197.113 * * [simplify]: iters left: 4 (372 enodes)
197.308 * * [simplify]: Extracting #0: cost 1 inf + 0
197.308 * * [simplify]: Extracting #1: cost 3 inf + 0
197.308 * * [simplify]: Extracting #2: cost 61 inf + 0
197.309 * * [simplify]: Extracting #3: cost 297 inf + 0
197.310 * * [simplify]: Extracting #4: cost 399 inf + 693
197.315 * * [simplify]: Extracting #5: cost 432 inf + 7543
197.344 * * [simplify]: Extracting #6: cost 250 inf + 78907
197.427 * * [simplify]: Extracting #7: cost 3 inf + 197535
197.493 * * [simplify]: Extracting #8: cost 0 inf + 186625
197.539 * * [simplify]: Extracting #9: cost 0 inf + 186545
197.587 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
197.587 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
197.587 * * * * [progress]: [ 189 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
197.588 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
197.588 * * [simplify]: iters left: 6 (47 enodes)
197.600 * * [simplify]: iters left: 5 (227 enodes)
197.675 * * [simplify]: Extracting #0: cost 1 inf + 0
197.675 * * [simplify]: Extracting #1: cost 3 inf + 0
197.676 * * [simplify]: Extracting #2: cost 6 inf + 0
197.676 * * [simplify]: Extracting #3: cost 54 inf + 0
197.676 * * [simplify]: Extracting #4: cost 119 inf + 0
197.677 * * [simplify]: Extracting #5: cost 173 inf + 44
197.679 * * [simplify]: Extracting #6: cost 247 inf + 1193
197.685 * * [simplify]: Extracting #7: cost 236 inf + 3468
197.690 * * [simplify]: Extracting #8: cost 167 inf + 16169
197.696 * * [simplify]: Extracting #9: cost 110 inf + 36036
197.708 * * [simplify]: Extracting #10: cost 50 inf + 62450
197.729 * * [simplify]: Extracting #11: cost 14 inf + 92126
197.755 * * [simplify]: Extracting #12: cost 1 inf + 107491
197.789 * * [simplify]: Extracting #13: cost 0 inf + 109356
197.836 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))
197.836 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
197.837 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
197.837 * * [simplify]: iters left: 6 (21 enodes)
197.848 * * [simplify]: iters left: 5 (99 enodes)
197.886 * * [simplify]: iters left: 4 (302 enodes)
198.044 * * [simplify]: Extracting #0: cost 1 inf + 0
198.044 * * [simplify]: Extracting #1: cost 3 inf + 0
198.044 * * [simplify]: Extracting #2: cost 35 inf + 0
198.045 * * [simplify]: Extracting #3: cost 159 inf + 0
198.046 * * [simplify]: Extracting #4: cost 230 inf + 373
198.053 * * [simplify]: Extracting #5: cost 294 inf + 3335
198.067 * * [simplify]: Extracting #6: cost 168 inf + 39601
198.115 * * [simplify]: Extracting #7: cost 6 inf + 101549
198.149 * * [simplify]: Extracting #8: cost 0 inf + 98889
198.180 * * [simplify]: Extracting #9: cost 0 inf + 98409
198.208 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (+ phi1 phi2))))
198.209 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
198.209 * * * * [progress]: [ 190 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
198.209 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
198.210 * * [simplify]: iters left: 6 (52 enodes)
198.223 * * [simplify]: iters left: 5 (255 enodes)
198.304 * * [simplify]: Extracting #0: cost 1 inf + 0
198.304 * * [simplify]: Extracting #1: cost 3 inf + 0
198.304 * * [simplify]: Extracting #2: cost 10 inf + 0
198.305 * * [simplify]: Extracting #3: cost 74 inf + 0
198.305 * * [simplify]: Extracting #4: cost 137 inf + 1
198.306 * * [simplify]: Extracting #5: cost 195 inf + 207
198.308 * * [simplify]: Extracting #6: cost 265 inf + 3171
198.312 * * [simplify]: Extracting #7: cost 250 inf + 7096
198.316 * * [simplify]: Extracting #8: cost 170 inf + 24260
198.323 * * [simplify]: Extracting #9: cost 106 inf + 45963
198.336 * * [simplify]: Extracting #10: cost 44 inf + 76987
198.371 * * [simplify]: Extracting #11: cost 9 inf + 115782
198.420 * * [simplify]: Extracting #12: cost 0 inf + 125687
198.473 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))))))
198.473 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
198.474 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
198.475 * * [simplify]: iters left: 6 (24 enodes)
198.486 * * [simplify]: iters left: 5 (112 enodes)
198.522 * * [simplify]: iters left: 4 (319 enodes)
198.656 * * [simplify]: Extracting #0: cost 1 inf + 0
198.656 * * [simplify]: Extracting #1: cost 3 inf + 0
198.656 * * [simplify]: Extracting #2: cost 33 inf + 0
198.656 * * [simplify]: Extracting #3: cost 144 inf + 0
198.657 * * [simplify]: Extracting #4: cost 240 inf + 290
198.658 * * [simplify]: Extracting #5: cost 314 inf + 986
198.664 * * [simplify]: Extracting #6: cost 205 inf + 31641
198.708 * * [simplify]: Extracting #7: cost 14 inf + 111691
198.743 * * [simplify]: Extracting #8: cost 0 inf + 111339
198.799 * * [simplify]: Extracting #9: cost 0 inf + 109859
198.841 * [simplify]: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))
198.841 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))))
198.842 * * * * [progress]: [ 191 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
198.842 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
198.842 * * [simplify]: iters left: 6 (47 enodes)
198.855 * * [simplify]: iters left: 5 (227 enodes)
198.922 * * [simplify]: Extracting #0: cost 1 inf + 0
198.922 * * [simplify]: Extracting #1: cost 3 inf + 0
198.922 * * [simplify]: Extracting #2: cost 10 inf + 0
198.922 * * [simplify]: Extracting #3: cost 66 inf + 0
198.923 * * [simplify]: Extracting #4: cost 117 inf + 44
198.923 * * [simplify]: Extracting #5: cost 157 inf + 1228
198.924 * * [simplify]: Extracting #6: cost 234 inf + 2932
198.926 * * [simplify]: Extracting #7: cost 234 inf + 3667
198.929 * * [simplify]: Extracting #8: cost 156 inf + 21574
198.939 * * [simplify]: Extracting #9: cost 57 inf + 62294
198.955 * * [simplify]: Extracting #10: cost 15 inf + 87737
198.975 * * [simplify]: Extracting #11: cost 3 inf + 96691
198.998 * * [simplify]: Extracting #12: cost 1 inf + 100221
199.019 * * [simplify]: Extracting #13: cost 0 inf + 102006
199.040 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))
199.040 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
199.040 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
199.041 * * [simplify]: iters left: 6 (20 enodes)
199.045 * * [simplify]: iters left: 5 (94 enodes)
199.081 * * [simplify]: iters left: 4 (262 enodes)
199.184 * * [simplify]: Extracting #0: cost 1 inf + 0
199.184 * * [simplify]: Extracting #1: cost 3 inf + 0
199.184 * * [simplify]: Extracting #2: cost 23 inf + 0
199.184 * * [simplify]: Extracting #3: cost 69 inf + 0
199.184 * * [simplify]: Extracting #4: cost 130 inf + 2
199.185 * * [simplify]: Extracting #5: cost 212 inf + 44
199.188 * * [simplify]: Extracting #6: cost 135 inf + 16644
199.203 * * [simplify]: Extracting #7: cost 17 inf + 50200
199.219 * * [simplify]: Extracting #8: cost 0 inf + 55049
199.237 * * [simplify]: Extracting #9: cost 0 inf + 54209
199.252 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ phi1 phi2) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))
199.252 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ phi1 phi2) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))))
199.252 * * * * [progress]: [ 192 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
199.253 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
199.253 * * [simplify]: iters left: 6 (52 enodes)
199.266 * * [simplify]: iters left: 5 (255 enodes)
199.323 * * [simplify]: Extracting #0: cost 1 inf + 0
199.323 * * [simplify]: Extracting #1: cost 3 inf + 0
199.323 * * [simplify]: Extracting #2: cost 10 inf + 0
199.323 * * [simplify]: Extracting #3: cost 74 inf + 0
199.323 * * [simplify]: Extracting #4: cost 137 inf + 1
199.324 * * [simplify]: Extracting #5: cost 195 inf + 207
199.325 * * [simplify]: Extracting #6: cost 271 inf + 1799
199.326 * * [simplify]: Extracting #7: cost 253 inf + 6250
199.331 * * [simplify]: Extracting #8: cost 172 inf + 23947
199.347 * * [simplify]: Extracting #9: cost 105 inf + 46707
199.369 * * [simplify]: Extracting #10: cost 42 inf + 78637
199.392 * * [simplify]: Extracting #11: cost 10 inf + 114677
199.427 * * [simplify]: Extracting #12: cost 0 inf + 126647
199.464 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))))))
199.464 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
199.466 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
199.466 * * [simplify]: iters left: 6 (24 enodes)
199.478 * * [simplify]: iters left: 5 (112 enodes)
200.071 * * [simplify]: iters left: 4 (319 enodes)
200.241 * * [simplify]: Extracting #0: cost 1 inf + 0
200.241 * * [simplify]: Extracting #1: cost 3 inf + 0
200.241 * * [simplify]: Extracting #2: cost 33 inf + 0
200.241 * * [simplify]: Extracting #3: cost 144 inf + 0
200.242 * * [simplify]: Extracting #4: cost 240 inf + 290
200.244 * * [simplify]: Extracting #5: cost 314 inf + 986
200.253 * * [simplify]: Extracting #6: cost 205 inf + 31641
200.301 * * [simplify]: Extracting #7: cost 14 inf + 111691
200.362 * * [simplify]: Extracting #8: cost 0 inf + 111339
200.418 * * [simplify]: Extracting #9: cost 0 inf + 109859
200.471 * [simplify]: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))
200.471 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))))
200.472 * * * * [progress]: [ 193 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
200.472 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
200.473 * * [simplify]: iters left: 6 (47 enodes)
200.491 * * [simplify]: iters left: 5 (227 enodes)
200.567 * * [simplify]: Extracting #0: cost 1 inf + 0
200.567 * * [simplify]: Extracting #1: cost 3 inf + 0
200.567 * * [simplify]: Extracting #2: cost 10 inf + 0
200.567 * * [simplify]: Extracting #3: cost 65 inf + 0
200.567 * * [simplify]: Extracting #4: cost 117 inf + 44
200.568 * * [simplify]: Extracting #5: cost 162 inf + 618
200.570 * * [simplify]: Extracting #6: cost 235 inf + 2770
200.572 * * [simplify]: Extracting #7: cost 235 inf + 3586
200.578 * * [simplify]: Extracting #8: cost 153 inf + 22403
200.589 * * [simplify]: Extracting #9: cost 65 inf + 57199
200.607 * * [simplify]: Extracting #10: cost 15 inf + 87857
200.633 * * [simplify]: Extracting #11: cost 3 inf + 98091
200.671 * * [simplify]: Extracting #12: cost 1 inf + 101701
200.711 * * [simplify]: Extracting #13: cost 0 inf + 103526
200.749 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))))))))
200.750 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
200.751 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
200.751 * * [simplify]: iters left: 6 (20 enodes)
200.760 * * [simplify]: iters left: 5 (94 enodes)
200.798 * * [simplify]: iters left: 4 (262 enodes)
200.911 * * [simplify]: Extracting #0: cost 1 inf + 0
200.911 * * [simplify]: Extracting #1: cost 3 inf + 0
200.911 * * [simplify]: Extracting #2: cost 23 inf + 0
200.911 * * [simplify]: Extracting #3: cost 69 inf + 0
200.912 * * [simplify]: Extracting #4: cost 130 inf + 2
200.913 * * [simplify]: Extracting #5: cost 212 inf + 44
200.919 * * [simplify]: Extracting #6: cost 135 inf + 16644
200.934 * * [simplify]: Extracting #7: cost 17 inf + 50200
200.949 * * [simplify]: Extracting #8: cost 0 inf + 55049
200.970 * * [simplify]: Extracting #9: cost 0 inf + 54209
201.000 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ phi1 phi2) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))
201.001 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ phi1 phi2) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))))
201.002 * * * * [progress]: [ 194 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
201.002 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
201.003 * * [simplify]: iters left: 6 (52 enodes)
201.030 * * [simplify]: iters left: 5 (254 enodes)
201.142 * * [simplify]: Extracting #0: cost 1 inf + 0
201.142 * * [simplify]: Extracting #1: cost 3 inf + 0
201.142 * * [simplify]: Extracting #2: cost 6 inf + 0
201.142 * * [simplify]: Extracting #3: cost 56 inf + 0
201.143 * * [simplify]: Extracting #4: cost 130 inf + 0
201.144 * * [simplify]: Extracting #5: cost 212 inf + 0
201.145 * * [simplify]: Extracting #6: cost 295 inf + 972
201.149 * * [simplify]: Extracting #7: cost 249 inf + 11495
201.157 * * [simplify]: Extracting #8: cost 164 inf + 27102
201.172 * * [simplify]: Extracting #9: cost 105 inf + 47794
201.204 * * [simplify]: Extracting #10: cost 45 inf + 77373
201.237 * * [simplify]: Extracting #11: cost 14 inf + 113308
201.269 * * [simplify]: Extracting #12: cost 1 inf + 129873
201.322 * * [simplify]: Extracting #13: cost 0 inf + 131978
201.373 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))
201.373 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
201.375 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
201.375 * * [simplify]: iters left: 6 (25 enodes)
201.386 * * [simplify]: iters left: 5 (117 enodes)
201.433 * * [simplify]: iters left: 4 (377 enodes)
201.702 * * [simplify]: Extracting #0: cost 1 inf + 0
201.702 * * [simplify]: Extracting #1: cost 3 inf + 0
201.702 * * [simplify]: Extracting #2: cost 44 inf + 0
201.702 * * [simplify]: Extracting #3: cost 305 inf + 0
201.704 * * [simplify]: Extracting #4: cost 488 inf + 248
201.709 * * [simplify]: Extracting #5: cost 486 inf + 16524
201.761 * * [simplify]: Extracting #6: cost 214 inf + 125617
201.857 * * [simplify]: Extracting #7: cost 1 inf + 222592
201.922 * * [simplify]: Extracting #8: cost 0 inf + 222634
202.006 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))
202.006 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))))
202.008 * * * * [progress]: [ 195 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
202.008 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
202.009 * * [simplify]: iters left: 6 (53 enodes)
202.040 * * [simplify]: iters left: 5 (263 enodes)
202.152 * * [simplify]: Extracting #0: cost 1 inf + 0
202.152 * * [simplify]: Extracting #1: cost 3 inf + 0
202.152 * * [simplify]: Extracting #2: cost 6 inf + 0
202.152 * * [simplify]: Extracting #3: cost 60 inf + 0
202.152 * * [simplify]: Extracting #4: cost 153 inf + 0
202.153 * * [simplify]: Extracting #5: cost 226 inf + 44
202.154 * * [simplify]: Extracting #6: cost 279 inf + 4000
202.157 * * [simplify]: Extracting #7: cost 234 inf + 15040
202.162 * * [simplify]: Extracting #8: cost 163 inf + 30890
202.170 * * [simplify]: Extracting #9: cost 100 inf + 53861
202.184 * * [simplify]: Extracting #10: cost 52 inf + 77015
202.220 * * [simplify]: Extracting #11: cost 14 inf + 114605
202.247 * * [simplify]: Extracting #12: cost 0 inf + 133155
202.294 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
202.294 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
202.295 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
202.296 * * [simplify]: iters left: 6 (26 enodes)
202.307 * * [simplify]: iters left: 5 (121 enodes)
202.357 * * [simplify]: iters left: 4 (374 enodes)
202.593 * * [simplify]: Extracting #0: cost 1 inf + 0
202.593 * * [simplify]: Extracting #1: cost 3 inf + 0
202.593 * * [simplify]: Extracting #2: cost 69 inf + 0
202.594 * * [simplify]: Extracting #3: cost 319 inf + 0
202.596 * * [simplify]: Extracting #4: cost 435 inf + 127
202.599 * * [simplify]: Extracting #5: cost 447 inf + 11326
202.628 * * [simplify]: Extracting #6: cost 179 inf + 116721
202.685 * * [simplify]: Extracting #7: cost 2 inf + 201243
202.751 * * [simplify]: Extracting #8: cost 0 inf + 201607
202.821 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1))))
202.821 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)))))))
202.822 * * * * [progress]: [ 196 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
202.823 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
202.823 * * [simplify]: iters left: 6 (53 enodes)
202.841 * * [simplify]: iters left: 5 (263 enodes)
202.916 * * [simplify]: Extracting #0: cost 1 inf + 0
202.916 * * [simplify]: Extracting #1: cost 3 inf + 0
202.916 * * [simplify]: Extracting #2: cost 6 inf + 0
202.917 * * [simplify]: Extracting #3: cost 62 inf + 0
202.917 * * [simplify]: Extracting #4: cost 151 inf + 0
202.918 * * [simplify]: Extracting #5: cost 222 inf + 44
202.921 * * [simplify]: Extracting #6: cost 274 inf + 4121
202.927 * * [simplify]: Extracting #7: cost 226 inf + 17202
202.936 * * [simplify]: Extracting #8: cost 171 inf + 28244
202.955 * * [simplify]: Extracting #9: cost 99 inf + 57100
202.974 * * [simplify]: Extracting #10: cost 45 inf + 81262
202.999 * * [simplify]: Extracting #11: cost 13 inf + 113822
203.027 * * [simplify]: Extracting #12: cost 0 inf + 129507
203.065 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
203.065 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
203.066 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
203.067 * * [simplify]: iters left: 6 (26 enodes)
203.079 * * [simplify]: iters left: 5 (121 enodes)
203.130 * * [simplify]: iters left: 4 (372 enodes)
203.359 * * [simplify]: Extracting #0: cost 1 inf + 0
203.359 * * [simplify]: Extracting #1: cost 3 inf + 0
203.359 * * [simplify]: Extracting #2: cost 61 inf + 0
203.361 * * [simplify]: Extracting #3: cost 297 inf + 0
203.364 * * [simplify]: Extracting #4: cost 395 inf + 693
203.371 * * [simplify]: Extracting #5: cost 396 inf + 13809
203.403 * * [simplify]: Extracting #6: cost 211 inf + 85008
203.464 * * [simplify]: Extracting #7: cost 1 inf + 178503
203.536 * * [simplify]: Extracting #8: cost 0 inf + 178665
203.621 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
203.621 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
203.622 * * * * [progress]: [ 197 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
203.623 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
203.623 * * [simplify]: iters left: 6 (47 enodes)
203.639 * * [simplify]: iters left: 5 (227 enodes)
203.697 * * [simplify]: Extracting #0: cost 1 inf + 0
203.697 * * [simplify]: Extracting #1: cost 3 inf + 0
203.698 * * [simplify]: Extracting #2: cost 6 inf + 0
203.698 * * [simplify]: Extracting #3: cost 54 inf + 0
203.698 * * [simplify]: Extracting #4: cost 119 inf + 0
203.698 * * [simplify]: Extracting #5: cost 170 inf + 44
203.699 * * [simplify]: Extracting #6: cost 240 inf + 1319
203.701 * * [simplify]: Extracting #7: cost 224 inf + 5019
203.704 * * [simplify]: Extracting #8: cost 152 inf + 20616
203.714 * * [simplify]: Extracting #9: cost 98 inf + 41919
203.727 * * [simplify]: Extracting #10: cost 47 inf + 63297
203.744 * * [simplify]: Extracting #11: cost 11 inf + 93971
203.780 * * [simplify]: Extracting #12: cost 1 inf + 106781
203.824 * * [simplify]: Extracting #13: cost 0 inf + 108686
203.870 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))
203.870 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
203.871 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))
203.872 * * [simplify]: iters left: 6 (21 enodes)
203.877 * * [simplify]: iters left: 5 (99 enodes)
203.897 * * [simplify]: iters left: 4 (302 enodes)
204.048 * * [simplify]: Extracting #0: cost 1 inf + 0
204.048 * * [simplify]: Extracting #1: cost 3 inf + 0
204.048 * * [simplify]: Extracting #2: cost 35 inf + 0
204.048 * * [simplify]: Extracting #3: cost 159 inf + 0
204.049 * * [simplify]: Extracting #4: cost 226 inf + 373
204.053 * * [simplify]: Extracting #5: cost 274 inf + 5414
204.071 * * [simplify]: Extracting #6: cost 170 inf + 34977
204.096 * * [simplify]: Extracting #7: cost 7 inf + 91387
204.129 * * [simplify]: Extracting #8: cost 0 inf + 95169
204.176 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))
204.176 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
204.177 * * * * [progress]: [ 198 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
204.177 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
204.178 * * [simplify]: iters left: 6 (52 enodes)
204.208 * * [simplify]: iters left: 5 (255 enodes)
204.287 * * [simplify]: Extracting #0: cost 1 inf + 0
204.287 * * [simplify]: Extracting #1: cost 3 inf + 0
204.287 * * [simplify]: Extracting #2: cost 10 inf + 0
204.287 * * [simplify]: Extracting #3: cost 74 inf + 0
204.288 * * [simplify]: Extracting #4: cost 137 inf + 1
204.289 * * [simplify]: Extracting #5: cost 192 inf + 207
204.291 * * [simplify]: Extracting #6: cost 253 inf + 4111
204.294 * * [simplify]: Extracting #7: cost 232 inf + 9863
204.298 * * [simplify]: Extracting #8: cost 163 inf + 24887
204.309 * * [simplify]: Extracting #9: cost 104 inf + 47001
204.324 * * [simplify]: Extracting #10: cost 38 inf + 81829
204.368 * * [simplify]: Extracting #11: cost 3 inf + 117302
204.416 * * [simplify]: Extracting #12: cost 0 inf + 123337
204.455 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))
204.455 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
204.455 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
204.456 * * [simplify]: iters left: 6 (24 enodes)
204.461 * * [simplify]: iters left: 5 (112 enodes)
204.484 * * [simplify]: iters left: 4 (319 enodes)
204.652 * * [simplify]: Extracting #0: cost 1 inf + 0
204.652 * * [simplify]: Extracting #1: cost 3 inf + 0
204.653 * * [simplify]: Extracting #2: cost 33 inf + 0
204.653 * * [simplify]: Extracting #3: cost 144 inf + 0
204.655 * * [simplify]: Extracting #4: cost 236 inf + 290
204.658 * * [simplify]: Extracting #5: cost 299 inf + 2208
204.672 * * [simplify]: Extracting #6: cost 179 inf + 35855
204.702 * * [simplify]: Extracting #7: cost 11 inf + 101185
204.752 * * [simplify]: Extracting #8: cost 0 inf + 106419
204.795 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))
204.795 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))))))
204.796 * * * * [progress]: [ 199 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
204.796 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
204.797 * * [simplify]: iters left: 6 (47 enodes)
204.809 * * [simplify]: iters left: 5 (227 enodes)
204.863 * * [simplify]: Extracting #0: cost 1 inf + 0
204.863 * * [simplify]: Extracting #1: cost 3 inf + 0
204.863 * * [simplify]: Extracting #2: cost 10 inf + 0
204.863 * * [simplify]: Extracting #3: cost 66 inf + 0
204.864 * * [simplify]: Extracting #4: cost 117 inf + 44
204.865 * * [simplify]: Extracting #5: cost 154 inf + 1228
204.867 * * [simplify]: Extracting #6: cost 228 inf + 2976
204.870 * * [simplify]: Extracting #7: cost 226 inf + 4567
204.878 * * [simplify]: Extracting #8: cost 125 inf + 29008
204.892 * * [simplify]: Extracting #9: cost 53 inf + 60807
204.913 * * [simplify]: Extracting #10: cost 13 inf + 87731
204.941 * * [simplify]: Extracting #11: cost 3 inf + 97821
204.965 * * [simplify]: Extracting #12: cost 1 inf + 101431
205.006 * * [simplify]: Extracting #13: cost 0 inf + 103256
205.031 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))
205.031 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
205.031 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
205.032 * * [simplify]: iters left: 6 (20 enodes)
205.036 * * [simplify]: iters left: 5 (94 enodes)
205.067 * * [simplify]: iters left: 4 (262 enodes)
205.181 * * [simplify]: Extracting #0: cost 1 inf + 0
205.182 * * [simplify]: Extracting #1: cost 3 inf + 0
205.182 * * [simplify]: Extracting #2: cost 23 inf + 0
205.182 * * [simplify]: Extracting #3: cost 69 inf + 0
205.183 * * [simplify]: Extracting #4: cost 126 inf + 2
205.184 * * [simplify]: Extracting #5: cost 203 inf + 88
205.190 * * [simplify]: Extracting #6: cost 140 inf + 14922
205.210 * * [simplify]: Extracting #7: cost 13 inf + 47131
205.237 * * [simplify]: Extracting #8: cost 0 inf + 52849
205.251 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2)))))
205.251 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))))))))
205.252 * * * * [progress]: [ 200 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
205.252 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
205.253 * * [simplify]: iters left: 6 (52 enodes)
205.271 * * [simplify]: iters left: 5 (255 enodes)
205.354 * * [simplify]: Extracting #0: cost 1 inf + 0
205.354 * * [simplify]: Extracting #1: cost 3 inf + 0
205.354 * * [simplify]: Extracting #2: cost 10 inf + 0
205.355 * * [simplify]: Extracting #3: cost 74 inf + 0
205.355 * * [simplify]: Extracting #4: cost 137 inf + 1
205.355 * * [simplify]: Extracting #5: cost 192 inf + 207
205.356 * * [simplify]: Extracting #6: cost 251 inf + 4432
205.360 * * [simplify]: Extracting #7: cost 230 inf + 10347
205.367 * * [simplify]: Extracting #8: cost 164 inf + 24766
205.385 * * [simplify]: Extracting #9: cost 105 inf + 47498
205.411 * * [simplify]: Extracting #10: cost 36 inf + 83359
205.448 * * [simplify]: Extracting #11: cost 3 inf + 118262
205.487 * * [simplify]: Extracting #12: cost 0 inf + 124297
205.538 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))
205.538 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
205.540 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
205.540 * * [simplify]: iters left: 6 (24 enodes)
205.552 * * [simplify]: iters left: 5 (112 enodes)
205.593 * * [simplify]: iters left: 4 (319 enodes)
205.701 * * [simplify]: Extracting #0: cost 1 inf + 0
205.701 * * [simplify]: Extracting #1: cost 3 inf + 0
205.702 * * [simplify]: Extracting #2: cost 33 inf + 0
205.702 * * [simplify]: Extracting #3: cost 144 inf + 0
205.703 * * [simplify]: Extracting #4: cost 236 inf + 290
205.704 * * [simplify]: Extracting #5: cost 299 inf + 2208
205.715 * * [simplify]: Extracting #6: cost 179 inf + 35855
205.744 * * [simplify]: Extracting #7: cost 11 inf + 101185
205.777 * * [simplify]: Extracting #8: cost 0 inf + 106419
205.804 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))
205.804 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))))))
205.805 * * * * [progress]: [ 201 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
205.805 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
205.806 * * [simplify]: iters left: 6 (47 enodes)
205.819 * * [simplify]: iters left: 5 (227 enodes)
205.878 * * [simplify]: Extracting #0: cost 1 inf + 0
205.879 * * [simplify]: Extracting #1: cost 3 inf + 0
205.879 * * [simplify]: Extracting #2: cost 10 inf + 0
205.879 * * [simplify]: Extracting #3: cost 65 inf + 0
205.879 * * [simplify]: Extracting #4: cost 117 inf + 44
205.880 * * [simplify]: Extracting #5: cost 159 inf + 618
205.882 * * [simplify]: Extracting #6: cost 230 inf + 2772
205.885 * * [simplify]: Extracting #7: cost 227 inf + 4527
205.889 * * [simplify]: Extracting #8: cost 138 inf + 24436
205.898 * * [simplify]: Extracting #9: cost 60 inf + 56454
205.916 * * [simplify]: Extracting #10: cost 14 inf + 86466
205.947 * * [simplify]: Extracting #11: cost 3 inf + 97261
205.969 * * [simplify]: Extracting #12: cost 1 inf + 100951
205.991 * * [simplify]: Extracting #13: cost 0 inf + 102816
206.031 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))))))))
206.031 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
206.033 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
206.034 * * [simplify]: iters left: 6 (20 enodes)
206.044 * * [simplify]: iters left: 5 (94 enodes)
206.081 * * [simplify]: iters left: 4 (262 enodes)
206.185 * * [simplify]: Extracting #0: cost 1 inf + 0
206.185 * * [simplify]: Extracting #1: cost 3 inf + 0
206.185 * * [simplify]: Extracting #2: cost 23 inf + 0
206.185 * * [simplify]: Extracting #3: cost 69 inf + 0
206.186 * * [simplify]: Extracting #4: cost 126 inf + 2
206.187 * * [simplify]: Extracting #5: cost 203 inf + 88
206.194 * * [simplify]: Extracting #6: cost 140 inf + 14922
206.215 * * [simplify]: Extracting #7: cost 13 inf + 47131
206.239 * * [simplify]: Extracting #8: cost 0 inf + 52849
206.254 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2)))))
206.254 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))))))))
206.255 * * * * [progress]: [ 202 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
206.255 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
206.255 * * [simplify]: iters left: 6 (47 enodes)
206.272 * * [simplify]: iters left: 5 (229 enodes)
206.361 * * [simplify]: Extracting #0: cost 1 inf + 0
206.361 * * [simplify]: Extracting #1: cost 3 inf + 0
206.361 * * [simplify]: Extracting #2: cost 6 inf + 0
206.361 * * [simplify]: Extracting #3: cost 48 inf + 0
206.361 * * [simplify]: Extracting #4: cost 112 inf + 0
206.361 * * [simplify]: Extracting #5: cost 181 inf + 0
206.362 * * [simplify]: Extracting #6: cost 261 inf + 128
206.363 * * [simplify]: Extracting #7: cost 228 inf + 6540
206.368 * * [simplify]: Extracting #8: cost 116 inf + 31790
206.382 * * [simplify]: Extracting #9: cost 45 inf + 61660
206.415 * * [simplify]: Extracting #10: cost 7 inf + 96446
206.455 * * [simplify]: Extracting #11: cost 0 inf + 105160
206.496 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))
206.496 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
206.497 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
206.498 * * [simplify]: iters left: 6 (24 enodes)
206.509 * * [simplify]: iters left: 5 (111 enodes)
206.553 * * [simplify]: iters left: 4 (327 enodes)
206.777 * * [simplify]: Extracting #0: cost 1 inf + 0
206.777 * * [simplify]: Extracting #1: cost 3 inf + 0
206.777 * * [simplify]: Extracting #2: cost 37 inf + 0
206.778 * * [simplify]: Extracting #3: cost 262 inf + 0
206.781 * * [simplify]: Extracting #4: cost 438 inf + 207
206.788 * * [simplify]: Extracting #5: cost 461 inf + 9599
206.836 * * [simplify]: Extracting #6: cost 186 inf + 126665
206.938 * * [simplify]: Extracting #7: cost 7 inf + 199525
207.033 * * [simplify]: Extracting #8: cost 0 inf + 196507
207.106 * * [simplify]: Extracting #9: cost 0 inf + 196147
207.202 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))
207.203 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))))
207.204 * * * * [progress]: [ 203 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
207.204 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
207.205 * * [simplify]: iters left: 6 (48 enodes)
207.230 * * [simplify]: iters left: 5 (238 enodes)
207.313 * * [simplify]: Extracting #0: cost 1 inf + 0
207.313 * * [simplify]: Extracting #1: cost 3 inf + 0
207.313 * * [simplify]: Extracting #2: cost 6 inf + 0
207.313 * * [simplify]: Extracting #3: cost 52 inf + 0
207.313 * * [simplify]: Extracting #4: cost 135 inf + 0
207.314 * * [simplify]: Extracting #5: cost 190 inf + 371
207.315 * * [simplify]: Extracting #6: cost 232 inf + 4926
207.317 * * [simplify]: Extracting #7: cost 213 inf + 12633
207.320 * * [simplify]: Extracting #8: cost 172 inf + 18549
207.325 * * [simplify]: Extracting #9: cost 121 inf + 27683
207.334 * * [simplify]: Extracting #10: cost 59 inf + 56215
207.352 * * [simplify]: Extracting #11: cost 5 inf + 100172
207.377 * * [simplify]: Extracting #12: cost 0 inf + 106657
207.402 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
207.403 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
207.404 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
207.404 * * [simplify]: iters left: 6 (25 enodes)
207.417 * * [simplify]: iters left: 5 (115 enodes)
207.461 * * [simplify]: iters left: 4 (325 enodes)
207.660 * * [simplify]: Extracting #0: cost 1 inf + 0
207.660 * * [simplify]: Extracting #1: cost 3 inf + 0
207.660 * * [simplify]: Extracting #2: cost 59 inf + 0
207.660 * * [simplify]: Extracting #3: cost 268 inf + 0
207.662 * * [simplify]: Extracting #4: cost 377 inf + 209
207.664 * * [simplify]: Extracting #5: cost 479 inf + 6082
207.680 * * [simplify]: Extracting #6: cost 372 inf + 28633
207.720 * * [simplify]: Extracting #7: cost 123 inf + 113126
207.797 * * [simplify]: Extracting #8: cost 7 inf + 176965
207.885 * * [simplify]: Extracting #9: cost 0 inf + 181432
207.972 * [simplify]: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
207.972 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
207.973 * * * * [progress]: [ 204 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
207.974 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
207.974 * * [simplify]: iters left: 6 (48 enodes)
208.000 * * [simplify]: iters left: 5 (238 enodes)
208.072 * * [simplify]: Extracting #0: cost 1 inf + 0
208.072 * * [simplify]: Extracting #1: cost 3 inf + 0
208.072 * * [simplify]: Extracting #2: cost 6 inf + 0
208.072 * * [simplify]: Extracting #3: cost 54 inf + 0
208.073 * * [simplify]: Extracting #4: cost 133 inf + 0
208.074 * * [simplify]: Extracting #5: cost 187 inf + 290
208.077 * * [simplify]: Extracting #6: cost 228 inf + 5207
208.081 * * [simplify]: Extracting #7: cost 205 inf + 11506
208.091 * * [simplify]: Extracting #8: cost 125 inf + 31184
208.108 * * [simplify]: Extracting #9: cost 58 inf + 53930
208.141 * * [simplify]: Extracting #10: cost 12 inf + 91257
208.175 * * [simplify]: Extracting #11: cost 2 inf + 100759
208.197 * * [simplify]: Extracting #12: cost 0 inf + 104369
208.232 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))))
208.232 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
208.233 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
208.233 * * [simplify]: iters left: 6 (25 enodes)
208.239 * * [simplify]: iters left: 5 (115 enodes)
208.266 * * [simplify]: iters left: 4 (323 enodes)
208.423 * * [simplify]: Extracting #0: cost 1 inf + 0
208.423 * * [simplify]: Extracting #1: cost 3 inf + 0
208.423 * * [simplify]: Extracting #2: cost 53 inf + 0
208.425 * * [simplify]: Extracting #3: cost 255 inf + 0
208.428 * * [simplify]: Extracting #4: cost 347 inf + 655
208.433 * * [simplify]: Extracting #5: cost 442 inf + 6860
208.439 * * [simplify]: Extracting #6: cost 352 inf + 23804
208.459 * * [simplify]: Extracting #7: cost 124 inf + 101399
208.512 * * [simplify]: Extracting #8: cost 3 inf + 164960
208.587 * * [simplify]: Extracting #9: cost 0 inf + 166811
208.641 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))
208.641 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))))
208.642 * * * * [progress]: [ 205 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
208.643 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
208.643 * * [simplify]: iters left: 6 (42 enodes)
208.666 * * [simplify]: iters left: 5 (203 enodes)
208.737 * * [simplify]: Extracting #0: cost 1 inf + 0
208.738 * * [simplify]: Extracting #1: cost 3 inf + 0
208.738 * * [simplify]: Extracting #2: cost 6 inf + 0
208.738 * * [simplify]: Extracting #3: cost 46 inf + 0
208.738 * * [simplify]: Extracting #4: cost 101 inf + 0
208.738 * * [simplify]: Extracting #5: cost 139 inf + 44
208.739 * * [simplify]: Extracting #6: cost 201 inf + 1275
208.740 * * [simplify]: Extracting #7: cost 193 inf + 3791
208.746 * * [simplify]: Extracting #8: cost 101 inf + 28375
208.770 * * [simplify]: Extracting #9: cost 34 inf + 61407
208.798 * * [simplify]: Extracting #10: cost 5 inf + 79932
208.816 * * [simplify]: Extracting #11: cost 0 inf + 82148
208.849 * * [simplify]: Extracting #12: cost 0 inf + 81948
208.882 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))
208.883 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
208.884 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))
208.884 * * [simplify]: iters left: 6 (20 enodes)
208.894 * * [simplify]: iters left: 5 (93 enodes)
208.930 * * [simplify]: iters left: 4 (252 enodes)
209.048 * * [simplify]: Extracting #0: cost 1 inf + 0
209.048 * * [simplify]: Extracting #1: cost 3 inf + 0
209.049 * * [simplify]: Extracting #2: cost 30 inf + 0
209.049 * * [simplify]: Extracting #3: cost 138 inf + 0
209.050 * * [simplify]: Extracting #4: cost 199 inf + 209
209.053 * * [simplify]: Extracting #5: cost 266 inf + 3539
209.063 * * [simplify]: Extracting #6: cost 183 inf + 27536
209.086 * * [simplify]: Extracting #7: cost 12 inf + 86887
209.117 * * [simplify]: Extracting #8: cost 0 inf + 86409
209.143 * * [simplify]: Extracting #9: cost 0 inf + 85129
209.186 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))
209.186 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))))
209.187 * * * * [progress]: [ 206 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
209.188 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
209.188 * * [simplify]: iters left: 6 (47 enodes)
209.215 * * [simplify]: iters left: 5 (231 enodes)
209.293 * * [simplify]: Extracting #0: cost 1 inf + 0
209.293 * * [simplify]: Extracting #1: cost 3 inf + 0
209.293 * * [simplify]: Extracting #2: cost 10 inf + 0
209.294 * * [simplify]: Extracting #3: cost 62 inf + 0
209.294 * * [simplify]: Extracting #4: cost 115 inf + 42
209.295 * * [simplify]: Extracting #5: cost 155 inf + 331
209.297 * * [simplify]: Extracting #6: cost 221 inf + 2081
209.300 * * [simplify]: Extracting #7: cost 201 inf + 9137
209.305 * * [simplify]: Extracting #8: cost 166 inf + 12921
209.312 * * [simplify]: Extracting #9: cost 92 inf + 35755
209.322 * * [simplify]: Extracting #10: cost 38 inf + 61164
209.342 * * [simplify]: Extracting #11: cost 4 inf + 88704
209.380 * * [simplify]: Extracting #12: cost 0 inf + 95244
209.418 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))
209.418 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
209.420 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
209.420 * * [simplify]: iters left: 6 (23 enodes)
209.431 * * [simplify]: iters left: 5 (106 enodes)
209.456 * * [simplify]: iters left: 4 (265 enodes)
209.579 * * [simplify]: Extracting #0: cost 1 inf + 0
209.579 * * [simplify]: Extracting #1: cost 3 inf + 0
209.579 * * [simplify]: Extracting #2: cost 27 inf + 0
209.580 * * [simplify]: Extracting #3: cost 108 inf + 0
209.581 * * [simplify]: Extracting #4: cost 178 inf + 85
209.583 * * [simplify]: Extracting #5: cost 278 inf + 864
209.586 * * [simplify]: Extracting #6: cost 311 inf + 4565
209.594 * * [simplify]: Extracting #7: cost 94 inf + 50495
209.616 * * [simplify]: Extracting #8: cost 1 inf + 91517
209.649 * * [simplify]: Extracting #9: cost 0 inf + 91721
209.691 * [simplify]: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
209.692 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
209.693 * * * * [progress]: [ 207 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
209.693 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
209.694 * * [simplify]: iters left: 6 (42 enodes)
209.713 * * [simplify]: iters left: 5 (204 enodes)
209.772 * * [simplify]: Extracting #0: cost 1 inf + 0
209.772 * * [simplify]: Extracting #1: cost 3 inf + 0
209.772 * * [simplify]: Extracting #2: cost 10 inf + 0
209.772 * * [simplify]: Extracting #3: cost 54 inf + 0
209.773 * * [simplify]: Extracting #4: cost 95 inf + 86
209.774 * * [simplify]: Extracting #5: cost 121 inf + 1067
209.776 * * [simplify]: Extracting #6: cost 186 inf + 2932
209.778 * * [simplify]: Extracting #7: cost 194 inf + 3139
209.783 * * [simplify]: Extracting #8: cost 133 inf + 16126
209.798 * * [simplify]: Extracting #9: cost 62 inf + 41703
209.827 * * [simplify]: Extracting #10: cost 15 inf + 70626
209.859 * * [simplify]: Extracting #11: cost 0 inf + 79403
209.877 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))))
209.877 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
209.878 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
209.878 * * [simplify]: iters left: 6 (19 enodes)
209.882 * * [simplify]: iters left: 5 (88 enodes)
209.903 * * [simplify]: iters left: 4 (206 enodes)
209.990 * * [simplify]: Extracting #0: cost 1 inf + 0
209.990 * * [simplify]: Extracting #1: cost 3 inf + 0
209.990 * * [simplify]: Extracting #2: cost 17 inf + 0
209.990 * * [simplify]: Extracting #3: cost 49 inf + 0
209.991 * * [simplify]: Extracting #4: cost 92 inf + 44
209.991 * * [simplify]: Extracting #5: cost 174 inf + 86
209.992 * * [simplify]: Extracting #6: cost 152 inf + 4752
209.999 * * [simplify]: Extracting #7: cost 29 inf + 32658
210.010 * * [simplify]: Extracting #8: cost 0 inf + 42023
210.028 * * [simplify]: Extracting #9: cost 0 inf + 41983
210.044 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
210.044 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))))
210.045 * * * * [progress]: [ 208 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
210.045 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
210.046 * * [simplify]: iters left: 6 (47 enodes)
210.058 * * [simplify]: iters left: 5 (231 enodes)
210.136 * * [simplify]: Extracting #0: cost 1 inf + 0
210.136 * * [simplify]: Extracting #1: cost 3 inf + 0
210.136 * * [simplify]: Extracting #2: cost 10 inf + 0
210.136 * * [simplify]: Extracting #3: cost 62 inf + 0
210.136 * * [simplify]: Extracting #4: cost 115 inf + 42
210.137 * * [simplify]: Extracting #5: cost 154 inf + 494
210.138 * * [simplify]: Extracting #6: cost 213 inf + 3897
210.140 * * [simplify]: Extracting #7: cost 201 inf + 8836
210.143 * * [simplify]: Extracting #8: cost 132 inf + 23959
210.155 * * [simplify]: Extracting #9: cost 75 inf + 46212
210.166 * * [simplify]: Extracting #10: cost 32 inf + 66004
210.188 * * [simplify]: Extracting #11: cost 4 inf + 89264
210.226 * * [simplify]: Extracting #12: cost 0 inf + 95804
210.249 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))
210.250 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
210.250 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
210.250 * * [simplify]: iters left: 6 (23 enodes)
210.256 * * [simplify]: iters left: 5 (106 enodes)
210.278 * * [simplify]: iters left: 4 (265 enodes)
210.395 * * [simplify]: Extracting #0: cost 1 inf + 0
210.395 * * [simplify]: Extracting #1: cost 3 inf + 0
210.396 * * [simplify]: Extracting #2: cost 27 inf + 0
210.396 * * [simplify]: Extracting #3: cost 108 inf + 0
210.397 * * [simplify]: Extracting #4: cost 178 inf + 85
210.400 * * [simplify]: Extracting #5: cost 278 inf + 864
210.404 * * [simplify]: Extracting #6: cost 311 inf + 4565
210.422 * * [simplify]: Extracting #7: cost 94 inf + 50495
210.446 * * [simplify]: Extracting #8: cost 1 inf + 91517
210.476 * * [simplify]: Extracting #9: cost 0 inf + 91721
210.505 * [simplify]: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
210.506 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
210.506 * * * * [progress]: [ 209 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
210.507 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
210.507 * * [simplify]: iters left: 6 (42 enodes)
210.518 * * [simplify]: iters left: 5 (204 enodes)
210.559 * * [simplify]: Extracting #0: cost 1 inf + 0
210.560 * * [simplify]: Extracting #1: cost 3 inf + 0
210.560 * * [simplify]: Extracting #2: cost 10 inf + 0
210.560 * * [simplify]: Extracting #3: cost 53 inf + 0
210.562 * * [simplify]: Extracting #4: cost 96 inf + 44
210.562 * * [simplify]: Extracting #5: cost 124 inf + 781
210.563 * * [simplify]: Extracting #6: cost 187 inf + 2770
210.564 * * [simplify]: Extracting #7: cost 194 inf + 3139
210.567 * * [simplify]: Extracting #8: cost 132 inf + 15926
210.574 * * [simplify]: Extracting #9: cost 61 inf + 41945
210.588 * * [simplify]: Extracting #10: cost 17 inf + 69739
210.605 * * [simplify]: Extracting #11: cost 0 inf + 79883
210.621 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))))
210.622 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
210.622 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
210.622 * * [simplify]: iters left: 6 (19 enodes)
210.627 * * [simplify]: iters left: 5 (88 enodes)
210.651 * * [simplify]: iters left: 4 (206 enodes)
210.735 * * [simplify]: Extracting #0: cost 1 inf + 0
210.735 * * [simplify]: Extracting #1: cost 3 inf + 0
210.735 * * [simplify]: Extracting #2: cost 17 inf + 0
210.735 * * [simplify]: Extracting #3: cost 49 inf + 0
210.735 * * [simplify]: Extracting #4: cost 92 inf + 44
210.736 * * [simplify]: Extracting #5: cost 174 inf + 86
210.737 * * [simplify]: Extracting #6: cost 152 inf + 4752
210.743 * * [simplify]: Extracting #7: cost 29 inf + 32658
210.764 * * [simplify]: Extracting #8: cost 0 inf + 42023
210.785 * * [simplify]: Extracting #9: cost 0 inf + 41983
210.796 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
210.796 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))))
210.797 * * * * [progress]: [ 210 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
210.797 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
210.798 * * [simplify]: iters left: 6 (51 enodes)
210.812 * * [simplify]: iters left: 5 (256 enodes)
210.900 * * [simplify]: Extracting #0: cost 1 inf + 0
210.900 * * [simplify]: Extracting #1: cost 3 inf + 0
210.900 * * [simplify]: Extracting #2: cost 6 inf + 0
210.900 * * [simplify]: Extracting #3: cost 56 inf + 0
210.901 * * [simplify]: Extracting #4: cost 130 inf + 0
210.902 * * [simplify]: Extracting #5: cost 213 inf + 0
210.904 * * [simplify]: Extracting #6: cost 309 inf + 763
210.909 * * [simplify]: Extracting #7: cost 263 inf + 10839
210.920 * * [simplify]: Extracting #8: cost 146 inf + 39040
210.942 * * [simplify]: Extracting #9: cost 63 inf + 68307
210.965 * * [simplify]: Extracting #10: cost 12 inf + 119182
211.015 * * [simplify]: Extracting #11: cost 1 inf + 135137
211.073 * * [simplify]: Extracting #12: cost 0 inf + 137322
211.108 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (* (* lambda1 lambda1) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))
211.108 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (* (* lambda1 lambda1) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
211.109 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
211.109 * * [simplify]: iters left: 6 (26 enodes)
211.115 * * [simplify]: iters left: 5 (126 enodes)
211.148 * * [simplify]: iters left: 4 (402 enodes)
211.458 * * [simplify]: Extracting #0: cost 1 inf + 0
211.458 * * [simplify]: Extracting #1: cost 3 inf + 0
211.458 * * [simplify]: Extracting #2: cost 44 inf + 0
211.459 * * [simplify]: Extracting #3: cost 312 inf + 0
211.461 * * [simplify]: Extracting #4: cost 533 inf + 44
211.464 * * [simplify]: Extracting #5: cost 657 inf + 6564
211.477 * * [simplify]: Extracting #6: cost 467 inf + 41199
211.510 * * [simplify]: Extracting #7: cost 180 inf + 141821
211.580 * * [simplify]: Extracting #8: cost 10 inf + 252927
211.677 * * [simplify]: Extracting #9: cost 0 inf + 260007
211.752 * [simplify]: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
211.752 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
211.753 * * * * [progress]: [ 211 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
211.754 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
211.754 * * [simplify]: iters left: 6 (52 enodes)
211.770 * * [simplify]: iters left: 5 (265 enodes)
211.866 * * [simplify]: Extracting #0: cost 1 inf + 0
211.866 * * [simplify]: Extracting #1: cost 3 inf + 0
211.866 * * [simplify]: Extracting #2: cost 6 inf + 0
211.866 * * [simplify]: Extracting #3: cost 60 inf + 0
211.866 * * [simplify]: Extracting #4: cost 153 inf + 0
211.867 * * [simplify]: Extracting #5: cost 226 inf + 85
211.868 * * [simplify]: Extracting #6: cost 285 inf + 5125
211.871 * * [simplify]: Extracting #7: cost 256 inf + 10711
211.875 * * [simplify]: Extracting #8: cost 184 inf + 24652
211.884 * * [simplify]: Extracting #9: cost 98 inf + 57770
211.899 * * [simplify]: Extracting #10: cost 47 inf + 84044
211.933 * * [simplify]: Extracting #11: cost 9 inf + 123514
211.968 * * [simplify]: Extracting #12: cost 0 inf + 136659
212.021 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))
212.021 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
212.022 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
212.022 * * [simplify]: iters left: 6 (27 enodes)
212.028 * * [simplify]: iters left: 5 (130 enodes)
212.064 * * [simplify]: iters left: 4 (400 enodes)
212.310 * * [simplify]: Extracting #0: cost 1 inf + 0
212.310 * * [simplify]: Extracting #1: cost 3 inf + 0
212.310 * * [simplify]: Extracting #2: cost 70 inf + 0
212.312 * * [simplify]: Extracting #3: cost 336 inf + 0
212.315 * * [simplify]: Extracting #4: cost 468 inf + 371
212.321 * * [simplify]: Extracting #5: cost 591 inf + 4881
212.332 * * [simplify]: Extracting #6: cost 478 inf + 28682
212.359 * * [simplify]: Extracting #7: cost 198 inf + 123808
212.418 * * [simplify]: Extracting #8: cost 20 inf + 230708
212.513 * * [simplify]: Extracting #9: cost 0 inf + 244788
212.590 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))))
212.591 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))))
212.591 * * * * [progress]: [ 212 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
212.593 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
212.593 * * [simplify]: iters left: 6 (52 enodes)
212.608 * * [simplify]: iters left: 5 (265 enodes)
212.672 * * [simplify]: Extracting #0: cost 1 inf + 0
212.672 * * [simplify]: Extracting #1: cost 3 inf + 0
212.672 * * [simplify]: Extracting #2: cost 6 inf + 0
212.673 * * [simplify]: Extracting #3: cost 62 inf + 0
212.673 * * [simplify]: Extracting #4: cost 151 inf + 0
212.678 * * [simplify]: Extracting #5: cost 221 inf + 127
212.681 * * [simplify]: Extracting #6: cost 288 inf + 4112
212.686 * * [simplify]: Extracting #7: cost 249 inf + 13323
212.694 * * [simplify]: Extracting #8: cost 180 inf + 25189
212.709 * * [simplify]: Extracting #9: cost 109 inf + 48053
212.735 * * [simplify]: Extracting #10: cost 49 inf + 80788
212.777 * * [simplify]: Extracting #11: cost 12 inf + 118831
212.828 * * [simplify]: Extracting #12: cost 1 inf + 133146
212.864 * * [simplify]: Extracting #13: cost 0 inf + 135331
212.905 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (+ phi2 phi1) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))))
212.905 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (+ phi2 phi1) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
212.907 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
212.907 * * [simplify]: iters left: 6 (27 enodes)
212.920 * * [simplify]: iters left: 5 (130 enodes)
212.971 * * [simplify]: iters left: 4 (398 enodes)
213.227 * * [simplify]: Extracting #0: cost 1 inf + 0
213.227 * * [simplify]: Extracting #1: cost 3 inf + 0
213.227 * * [simplify]: Extracting #2: cost 60 inf + 0
213.228 * * [simplify]: Extracting #3: cost 300 inf + 0
213.230 * * [simplify]: Extracting #4: cost 419 inf + 413
213.232 * * [simplify]: Extracting #5: cost 540 inf + 5937
213.244 * * [simplify]: Extracting #6: cost 440 inf + 24894
213.293 * * [simplify]: Extracting #7: cost 164 inf + 115188
213.364 * * [simplify]: Extracting #8: cost 2 inf + 211989
213.463 * * [simplify]: Extracting #9: cost 0 inf + 213277
213.564 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))
213.564 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))))))
213.565 * * * * [progress]: [ 213 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
213.566 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
213.566 * * [simplify]: iters left: 6 (46 enodes)
213.589 * * [simplify]: iters left: 5 (229 enodes)
213.672 * * [simplify]: Extracting #0: cost 1 inf + 0
213.672 * * [simplify]: Extracting #1: cost 3 inf + 0
213.672 * * [simplify]: Extracting #2: cost 6 inf + 0
213.672 * * [simplify]: Extracting #3: cost 54 inf + 0
213.672 * * [simplify]: Extracting #4: cost 119 inf + 0
213.673 * * [simplify]: Extracting #5: cost 171 inf + 44
213.674 * * [simplify]: Extracting #6: cost 254 inf + 990
213.675 * * [simplify]: Extracting #7: cost 254 inf + 2211
213.678 * * [simplify]: Extracting #8: cost 163 inf + 20655
213.687 * * [simplify]: Extracting #9: cost 85 inf + 47574
213.704 * * [simplify]: Extracting #10: cost 16 inf + 96831
213.739 * * [simplify]: Extracting #11: cost 0 inf + 111710
213.784 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2)))) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ phi2 phi1)))))
213.784 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2)))) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
213.785 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))
213.785 * * [simplify]: iters left: 6 (22 enodes)
213.796 * * [simplify]: iters left: 5 (108 enodes)
213.836 * * [simplify]: iters left: 4 (327 enodes)
213.993 * * [simplify]: Extracting #0: cost 1 inf + 0
213.993 * * [simplify]: Extracting #1: cost 3 inf + 0
213.993 * * [simplify]: Extracting #2: cost 34 inf + 0
213.994 * * [simplify]: Extracting #3: cost 158 inf + 0
213.995 * * [simplify]: Extracting #4: cost 257 inf + 168
213.999 * * [simplify]: Extracting #5: cost 406 inf + 2606
214.007 * * [simplify]: Extracting #6: cost 300 inf + 17021
214.031 * * [simplify]: Extracting #7: cost 85 inf + 79992
214.068 * * [simplify]: Extracting #8: cost 1 inf + 118140
214.122 * * [simplify]: Extracting #9: cost 0 inf + 118864
214.177 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi2 phi1) (+ phi2 phi1))))
214.177 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi2 phi1) (+ phi2 phi1)))))))
214.178 * * * * [progress]: [ 214 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
214.179 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
214.179 * * [simplify]: iters left: 6 (51 enodes)
214.206 * * [simplify]: iters left: 5 (257 enodes)
214.292 * * [simplify]: Extracting #0: cost 1 inf + 0
214.292 * * [simplify]: Extracting #1: cost 3 inf + 0
214.292 * * [simplify]: Extracting #2: cost 10 inf + 0
214.292 * * [simplify]: Extracting #3: cost 74 inf + 0
214.293 * * [simplify]: Extracting #4: cost 136 inf + 42
214.294 * * [simplify]: Extracting #5: cost 192 inf + 249
214.296 * * [simplify]: Extracting #6: cost 278 inf + 1637
214.299 * * [simplify]: Extracting #7: cost 252 inf + 8682
214.306 * * [simplify]: Extracting #8: cost 177 inf + 22362
214.316 * * [simplify]: Extracting #9: cost 140 inf + 31046
214.336 * * [simplify]: Extracting #10: cost 98 inf + 51218
214.362 * * [simplify]: Extracting #11: cost 44 inf + 80621
214.405 * * [simplify]: Extracting #12: cost 5 inf + 119756
214.459 * * [simplify]: Extracting #13: cost 0 inf + 128201
214.490 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))
214.491 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
214.491 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
214.492 * * [simplify]: iters left: 6 (25 enodes)
214.498 * * [simplify]: iters left: 5 (121 enodes)
214.531 * * [simplify]: iters left: 4 (345 enodes)
214.661 * * [simplify]: Extracting #0: cost 1 inf + 0
214.661 * * [simplify]: Extracting #1: cost 3 inf + 0
214.661 * * [simplify]: Extracting #2: cost 33 inf + 0
214.662 * * [simplify]: Extracting #3: cost 143 inf + 0
214.662 * * [simplify]: Extracting #4: cost 251 inf + 168
214.664 * * [simplify]: Extracting #5: cost 375 inf + 905
214.668 * * [simplify]: Extracting #6: cost 282 inf + 20189
214.690 * * [simplify]: Extracting #7: cost 98 inf + 73399
214.745 * * [simplify]: Extracting #8: cost 4 inf + 122979
214.808 * * [simplify]: Extracting #9: cost 0 inf + 125394
214.870 * [simplify]: Simplified to (sqrt (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
214.870 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
214.872 * * * * [progress]: [ 215 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
214.872 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
214.873 * * [simplify]: iters left: 6 (46 enodes)
214.890 * * [simplify]: iters left: 5 (229 enodes)
214.947 * * [simplify]: Extracting #0: cost 1 inf + 0
214.947 * * [simplify]: Extracting #1: cost 3 inf + 0
214.947 * * [simplify]: Extracting #2: cost 10 inf + 0
214.947 * * [simplify]: Extracting #3: cost 66 inf + 0
214.947 * * [simplify]: Extracting #4: cost 117 inf + 44
214.948 * * [simplify]: Extracting #5: cost 156 inf + 1066
214.949 * * [simplify]: Extracting #6: cost 240 inf + 2932
214.950 * * [simplify]: Extracting #7: cost 248 inf + 3139
214.954 * * [simplify]: Extracting #8: cost 154 inf + 23455
214.970 * * [simplify]: Extracting #9: cost 55 inf + 63427
215.007 * * [simplify]: Extracting #10: cost 10 inf + 96312
215.044 * * [simplify]: Extracting #11: cost 0 inf + 105920
215.069 * * [simplify]: Extracting #12: cost 0 inf + 105680
215.090 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))
215.091 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
215.091 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))
215.091 * * [simplify]: iters left: 6 (21 enodes)
215.096 * * [simplify]: iters left: 5 (103 enodes)
215.130 * * [simplify]: iters left: 4 (286 enodes)
215.239 * * [simplify]: Extracting #0: cost 1 inf + 0
215.239 * * [simplify]: Extracting #1: cost 3 inf + 0
215.239 * * [simplify]: Extracting #2: cost 23 inf + 0
215.239 * * [simplify]: Extracting #3: cost 70 inf + 0
215.240 * * [simplify]: Extracting #4: cost 145 inf + 2
215.241 * * [simplify]: Extracting #5: cost 218 inf + 44
215.247 * * [simplify]: Extracting #6: cost 145 inf + 15630
215.272 * * [simplify]: Extracting #7: cost 9 inf + 59482
215.289 * * [simplify]: Extracting #8: cost 0 inf + 58463
215.307 * * [simplify]: Extracting #9: cost 0 inf + 58143
215.334 * [simplify]: Simplified to (sqrt (* (+ phi2 phi1) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
215.334 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ phi2 phi1) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))))
215.334 * * * * [progress]: [ 216 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
215.335 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
215.335 * * [simplify]: iters left: 6 (51 enodes)
215.352 * * [simplify]: iters left: 5 (257 enodes)
215.437 * * [simplify]: Extracting #0: cost 1 inf + 0
215.437 * * [simplify]: Extracting #1: cost 3 inf + 0
215.437 * * [simplify]: Extracting #2: cost 10 inf + 0
215.437 * * [simplify]: Extracting #3: cost 74 inf + 0
215.437 * * [simplify]: Extracting #4: cost 136 inf + 42
215.438 * * [simplify]: Extracting #5: cost 193 inf + 207
215.439 * * [simplify]: Extracting #6: cost 273 inf + 3006
215.441 * * [simplify]: Extracting #7: cost 250 inf + 9748
215.444 * * [simplify]: Extracting #8: cost 178 inf + 21980
215.452 * * [simplify]: Extracting #9: cost 141 inf + 30442
215.462 * * [simplify]: Extracting #10: cost 96 inf + 52449
215.488 * * [simplify]: Extracting #11: cost 42 inf + 82311
215.509 * * [simplify]: Extracting #12: cost 5 inf + 120716
215.553 * * [simplify]: Extracting #13: cost 0 inf + 129161
215.605 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))
215.605 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
215.607 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
215.607 * * [simplify]: iters left: 6 (25 enodes)
215.621 * * [simplify]: iters left: 5 (121 enodes)
215.652 * * [simplify]: iters left: 4 (345 enodes)
215.792 * * [simplify]: Extracting #0: cost 1 inf + 0
215.792 * * [simplify]: Extracting #1: cost 3 inf + 0
215.792 * * [simplify]: Extracting #2: cost 33 inf + 0
215.793 * * [simplify]: Extracting #3: cost 143 inf + 0
215.794 * * [simplify]: Extracting #4: cost 251 inf + 168
215.796 * * [simplify]: Extracting #5: cost 375 inf + 905
215.805 * * [simplify]: Extracting #6: cost 282 inf + 20189
215.832 * * [simplify]: Extracting #7: cost 98 inf + 73399
215.872 * * [simplify]: Extracting #8: cost 4 inf + 122979
215.919 * * [simplify]: Extracting #9: cost 0 inf + 125394
215.949 * [simplify]: Simplified to (sqrt (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
215.950 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
215.950 * * * * [progress]: [ 217 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
215.950 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
215.951 * * [simplify]: iters left: 6 (46 enodes)
215.963 * * [simplify]: iters left: 5 (229 enodes)
216.019 * * [simplify]: Extracting #0: cost 1 inf + 0
216.019 * * [simplify]: Extracting #1: cost 3 inf + 0
216.019 * * [simplify]: Extracting #2: cost 10 inf + 0
216.019 * * [simplify]: Extracting #3: cost 65 inf + 0
216.020 * * [simplify]: Extracting #4: cost 117 inf + 44
216.020 * * [simplify]: Extracting #5: cost 157 inf + 864
216.021 * * [simplify]: Extracting #6: cost 240 inf + 2932
216.022 * * [simplify]: Extracting #7: cost 248 inf + 3139
216.026 * * [simplify]: Extracting #8: cost 159 inf + 23117
216.046 * * [simplify]: Extracting #9: cost 58 inf + 61310
216.078 * * [simplify]: Extracting #10: cost 15 inf + 91705
216.119 * * [simplify]: Extracting #11: cost 0 inf + 106320
216.141 * * [simplify]: Extracting #12: cost 0 inf + 106080
216.164 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))
216.164 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
216.164 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))
216.165 * * [simplify]: iters left: 6 (21 enodes)
216.174 * * [simplify]: iters left: 5 (103 enodes)
216.215 * * [simplify]: iters left: 4 (286 enodes)
216.353 * * [simplify]: Extracting #0: cost 1 inf + 0
216.354 * * [simplify]: Extracting #1: cost 3 inf + 0
216.354 * * [simplify]: Extracting #2: cost 23 inf + 0
216.354 * * [simplify]: Extracting #3: cost 70 inf + 0
216.354 * * [simplify]: Extracting #4: cost 145 inf + 2
216.355 * * [simplify]: Extracting #5: cost 218 inf + 44
216.358 * * [simplify]: Extracting #6: cost 145 inf + 15630
216.373 * * [simplify]: Extracting #7: cost 9 inf + 59482
216.396 * * [simplify]: Extracting #8: cost 0 inf + 58463
216.412 * * [simplify]: Extracting #9: cost 0 inf + 58143
216.434 * [simplify]: Simplified to (sqrt (* (+ phi2 phi1) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
216.434 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (+ phi2 phi1) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))))
216.435 * * * * [progress]: [ 218 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
216.435 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
216.437 * * [simplify]: iters left: 6 (51 enodes)
216.451 * * [simplify]: iters left: 5 (256 enodes)
216.523 * * [simplify]: Extracting #0: cost 1 inf + 0
216.523 * * [simplify]: Extracting #1: cost 3 inf + 0
216.523 * * [simplify]: Extracting #2: cost 6 inf + 0
216.523 * * [simplify]: Extracting #3: cost 56 inf + 0
216.527 * * [simplify]: Extracting #4: cost 130 inf + 0
216.528 * * [simplify]: Extracting #5: cost 214 inf + 0
216.529 * * [simplify]: Extracting #6: cost 304 inf + 551
216.533 * * [simplify]: Extracting #7: cost 261 inf + 10500
216.541 * * [simplify]: Extracting #8: cost 168 inf + 28097
216.556 * * [simplify]: Extracting #9: cost 109 inf + 47801
216.581 * * [simplify]: Extracting #10: cost 49 inf + 77565
216.625 * * [simplify]: Extracting #11: cost 12 inf + 116290
216.659 * * [simplify]: Extracting #12: cost 1 inf + 131645
216.693 * * [simplify]: Extracting #13: cost 0 inf + 133750
216.744 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))
216.744 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
216.745 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
216.746 * * [simplify]: iters left: 6 (26 enodes)
216.758 * * [simplify]: iters left: 5 (126 enodes)
216.792 * * [simplify]: iters left: 4 (400 enodes)
217.043 * * [simplify]: Extracting #0: cost 1 inf + 0
217.043 * * [simplify]: Extracting #1: cost 3 inf + 0
217.043 * * [simplify]: Extracting #2: cost 43 inf + 0
217.045 * * [simplify]: Extracting #3: cost 307 inf + 0
217.048 * * [simplify]: Extracting #4: cost 513 inf + 86
217.055 * * [simplify]: Extracting #5: cost 604 inf + 9686
217.070 * * [simplify]: Extracting #6: cost 443 inf + 39530
217.125 * * [simplify]: Extracting #7: cost 173 inf + 138392
217.222 * * [simplify]: Extracting #8: cost 8 inf + 247935
217.300 * * [simplify]: Extracting #9: cost 0 inf + 253447
217.390 * [simplify]: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
217.390 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
217.391 * * * * [progress]: [ 219 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
217.392 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
217.393 * * [simplify]: iters left: 6 (52 enodes)
217.416 * * [simplify]: iters left: 5 (265 enodes)
217.490 * * [simplify]: Extracting #0: cost 1 inf + 0
217.490 * * [simplify]: Extracting #1: cost 3 inf + 0
217.490 * * [simplify]: Extracting #2: cost 6 inf + 0
217.490 * * [simplify]: Extracting #3: cost 60 inf + 0
217.491 * * [simplify]: Extracting #4: cost 153 inf + 0
217.491 * * [simplify]: Extracting #5: cost 226 inf + 127
217.493 * * [simplify]: Extracting #6: cost 278 inf + 5167
217.496 * * [simplify]: Extracting #7: cost 256 inf + 10460
217.507 * * [simplify]: Extracting #8: cost 163 inf + 34333
217.530 * * [simplify]: Extracting #9: cost 66 inf + 75087
217.573 * * [simplify]: Extracting #10: cost 18 inf + 119918
217.620 * * [simplify]: Extracting #11: cost 0 inf + 136069
217.658 * * [simplify]: Extracting #12: cost 0 inf + 135647
217.700 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))
217.700 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
217.701 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
217.702 * * [simplify]: iters left: 6 (27 enodes)
217.715 * * [simplify]: iters left: 5 (130 enodes)
217.768 * * [simplify]: iters left: 4 (398 enodes)
218.002 * * [simplify]: Extracting #0: cost 1 inf + 0
218.002 * * [simplify]: Extracting #1: cost 3 inf + 0
218.002 * * [simplify]: Extracting #2: cost 68 inf + 0
218.002 * * [simplify]: Extracting #3: cost 317 inf + 0
218.004 * * [simplify]: Extracting #4: cost 444 inf + 86
218.007 * * [simplify]: Extracting #5: cost 562 inf + 4226
218.013 * * [simplify]: Extracting #6: cost 447 inf + 26939
218.052 * * [simplify]: Extracting #7: cost 187 inf + 118054
218.140 * * [simplify]: Extracting #8: cost 13 inf + 220584
218.242 * * [simplify]: Extracting #9: cost 0 inf + 229554
218.315 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))))
218.315 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))))))
218.316 * * * * [progress]: [ 220 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
218.317 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
218.318 * * [simplify]: iters left: 6 (52 enodes)
218.345 * * [simplify]: iters left: 5 (265 enodes)
218.462 * * [simplify]: Extracting #0: cost 1 inf + 0
218.462 * * [simplify]: Extracting #1: cost 3 inf + 0
218.462 * * [simplify]: Extracting #2: cost 6 inf + 0
218.462 * * [simplify]: Extracting #3: cost 62 inf + 0
218.463 * * [simplify]: Extracting #4: cost 151 inf + 0
218.464 * * [simplify]: Extracting #5: cost 223 inf + 85
218.467 * * [simplify]: Extracting #6: cost 284 inf + 3266
218.472 * * [simplify]: Extracting #7: cost 243 inf + 13422
218.481 * * [simplify]: Extracting #8: cost 171 inf + 27179
218.499 * * [simplify]: Extracting #9: cost 105 inf + 51650
218.533 * * [simplify]: Extracting #10: cost 39 inf + 89066
218.574 * * [simplify]: Extracting #11: cost 14 inf + 116369
218.626 * * [simplify]: Extracting #12: cost 0 inf + 134799
218.671 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))
218.671 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
218.672 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
218.672 * * [simplify]: iters left: 6 (27 enodes)
218.678 * * [simplify]: iters left: 5 (130 enodes)
218.722 * * [simplify]: iters left: 4 (396 enodes)
218.969 * * [simplify]: Extracting #0: cost 1 inf + 0
218.969 * * [simplify]: Extracting #1: cost 3 inf + 0
218.970 * * [simplify]: Extracting #2: cost 60 inf + 0
218.971 * * [simplify]: Extracting #3: cost 295 inf + 0
218.978 * * [simplify]: Extracting #4: cost 401 inf + 290
218.983 * * [simplify]: Extracting #5: cost 511 inf + 5767
218.995 * * [simplify]: Extracting #6: cost 400 inf + 26601
219.030 * * [simplify]: Extracting #7: cost 143 inf + 119841
219.077 * * [simplify]: Extracting #8: cost 5 inf + 200544
219.160 * * [simplify]: Extracting #9: cost 0 inf + 204324
219.227 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1))))
219.227 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)))))))
219.228 * * * * [progress]: [ 221 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
219.229 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
219.229 * * [simplify]: iters left: 6 (46 enodes)
219.255 * * [simplify]: iters left: 5 (229 enodes)
219.316 * * [simplify]: Extracting #0: cost 1 inf + 0
219.316 * * [simplify]: Extracting #1: cost 3 inf + 0
219.316 * * [simplify]: Extracting #2: cost 6 inf + 0
219.317 * * [simplify]: Extracting #3: cost 54 inf + 0
219.317 * * [simplify]: Extracting #4: cost 119 inf + 0
219.318 * * [simplify]: Extracting #5: cost 170 inf + 208
219.320 * * [simplify]: Extracting #6: cost 248 inf + 990
219.322 * * [simplify]: Extracting #7: cost 249 inf + 2128
219.328 * * [simplify]: Extracting #8: cost 162 inf + 20212
219.343 * * [simplify]: Extracting #9: cost 85 inf + 45255
219.370 * * [simplify]: Extracting #10: cost 23 inf + 90496
219.393 * * [simplify]: Extracting #11: cost 1 inf + 108353
219.415 * * [simplify]: Extracting #12: cost 0 inf + 110058
219.452 * * [simplify]: Extracting #13: cost 0 inf + 110018
219.495 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))
219.496 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
219.498 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))
219.498 * * [simplify]: iters left: 6 (22 enodes)
219.510 * * [simplify]: iters left: 5 (108 enodes)
219.556 * * [simplify]: iters left: 4 (325 enodes)
219.695 * * [simplify]: Extracting #0: cost 1 inf + 0
219.695 * * [simplify]: Extracting #1: cost 3 inf + 0
219.695 * * [simplify]: Extracting #2: cost 34 inf + 0
219.695 * * [simplify]: Extracting #3: cost 154 inf + 0
219.696 * * [simplify]: Extracting #4: cost 242 inf + 574
219.698 * * [simplify]: Extracting #5: cost 376 inf + 3092
219.701 * * [simplify]: Extracting #6: cost 267 inf + 18597
219.723 * * [simplify]: Extracting #7: cost 79 inf + 72293
219.773 * * [simplify]: Extracting #8: cost 2 inf + 110434
219.825 * * [simplify]: Extracting #9: cost 0 inf + 111642
219.864 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi2 phi1) (+ phi2 phi1))))
219.865 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi2 phi1) (+ phi2 phi1)))))))
219.865 * * * * [progress]: [ 222 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
219.866 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
219.866 * * [simplify]: iters left: 6 (51 enodes)
219.884 * * [simplify]: iters left: 5 (257 enodes)
219.957 * * [simplify]: Extracting #0: cost 1 inf + 0
219.957 * * [simplify]: Extracting #1: cost 3 inf + 0
219.957 * * [simplify]: Extracting #2: cost 10 inf + 0
219.957 * * [simplify]: Extracting #3: cost 74 inf + 0
219.958 * * [simplify]: Extracting #4: cost 136 inf + 42
219.958 * * [simplify]: Extracting #5: cost 193 inf + 249
219.959 * * [simplify]: Extracting #6: cost 271 inf + 1760
219.961 * * [simplify]: Extracting #7: cost 247 inf + 7869
219.965 * * [simplify]: Extracting #8: cost 171 inf + 21974
219.971 * * [simplify]: Extracting #9: cost 111 inf + 42053
219.984 * * [simplify]: Extracting #10: cost 50 inf + 75599
220.007 * * [simplify]: Extracting #11: cost 4 inf + 119129
220.060 * * [simplify]: Extracting #12: cost 0 inf + 126349
220.110 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))
220.110 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
220.111 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
220.111 * * [simplify]: iters left: 6 (25 enodes)
220.123 * * [simplify]: iters left: 5 (121 enodes)
220.148 * * [simplify]: iters left: 4 (343 enodes)
220.282 * * [simplify]: Extracting #0: cost 1 inf + 0
220.282 * * [simplify]: Extracting #1: cost 3 inf + 0
220.282 * * [simplify]: Extracting #2: cost 33 inf + 0
220.282 * * [simplify]: Extracting #3: cost 142 inf + 0
220.283 * * [simplify]: Extracting #4: cost 242 inf + 86
220.284 * * [simplify]: Extracting #5: cost 366 inf + 823
220.288 * * [simplify]: Extracting #6: cost 290 inf + 13498
220.302 * * [simplify]: Extracting #7: cost 88 inf + 76290
220.360 * * [simplify]: Extracting #8: cost 2 inf + 119422
220.420 * * [simplify]: Extracting #9: cost 0 inf + 120670
220.475 * [simplify]: Simplified to (sqrt (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
220.475 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
220.476 * * * * [progress]: [ 223 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
220.476 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
220.476 * * [simplify]: iters left: 6 (46 enodes)
220.489 * * [simplify]: iters left: 5 (229 enodes)
220.566 * * [simplify]: Extracting #0: cost 1 inf + 0
220.566 * * [simplify]: Extracting #1: cost 3 inf + 0
220.566 * * [simplify]: Extracting #2: cost 10 inf + 0
220.566 * * [simplify]: Extracting #3: cost 66 inf + 0
220.567 * * [simplify]: Extracting #4: cost 117 inf + 44
220.567 * * [simplify]: Extracting #5: cost 162 inf + 496
220.568 * * [simplify]: Extracting #6: cost 235 inf + 2770
220.569 * * [simplify]: Extracting #7: cost 239 inf + 3422
220.572 * * [simplify]: Extracting #8: cost 175 inf + 16841
220.580 * * [simplify]: Extracting #9: cost 94 inf + 45994
220.603 * * [simplify]: Extracting #10: cost 33 inf + 75958
220.642 * * [simplify]: Extracting #11: cost 5 inf + 99503
220.664 * * [simplify]: Extracting #12: cost 0 inf + 105308
220.707 * * [simplify]: Extracting #13: cost 0 inf + 105148
220.745 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ phi2 phi1)))))
220.745 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
220.746 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
220.746 * * [simplify]: iters left: 6 (21 enodes)
220.751 * * [simplify]: iters left: 5 (103 enodes)
220.779 * * [simplify]: iters left: 4 (284 enodes)
220.887 * * [simplify]: Extracting #0: cost 1 inf + 0
220.887 * * [simplify]: Extracting #1: cost 3 inf + 0
220.888 * * [simplify]: Extracting #2: cost 23 inf + 0
220.888 * * [simplify]: Extracting #3: cost 70 inf + 0
220.889 * * [simplify]: Extracting #4: cost 136 inf + 2
220.890 * * [simplify]: Extracting #5: cost 217 inf + 44
220.897 * * [simplify]: Extracting #6: cost 127 inf + 17872
220.917 * * [simplify]: Extracting #7: cost 9 inf + 57637
220.932 * * [simplify]: Extracting #8: cost 0 inf + 56620
220.950 * * [simplify]: Extracting #9: cost 0 inf + 56220
220.965 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
220.965 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))))
220.966 * * * * [progress]: [ 224 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
220.967 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
220.968 * * [simplify]: iters left: 6 (51 enodes)
220.993 * * [simplify]: iters left: 5 (257 enodes)
221.060 * * [simplify]: Extracting #0: cost 1 inf + 0
221.060 * * [simplify]: Extracting #1: cost 3 inf + 0
221.060 * * [simplify]: Extracting #2: cost 10 inf + 0
221.060 * * [simplify]: Extracting #3: cost 74 inf + 0
221.061 * * [simplify]: Extracting #4: cost 136 inf + 42
221.061 * * [simplify]: Extracting #5: cost 193 inf + 248
221.062 * * [simplify]: Extracting #6: cost 268 inf + 2444
221.064 * * [simplify]: Extracting #7: cost 243 inf + 8897
221.068 * * [simplify]: Extracting #8: cost 172 inf + 21591
221.074 * * [simplify]: Extracting #9: cost 112 inf + 41708
221.087 * * [simplify]: Extracting #10: cost 47 inf + 78592
221.113 * * [simplify]: Extracting #11: cost 4 inf + 120089
221.145 * * [simplify]: Extracting #12: cost 0 inf + 127309
221.179 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))
221.179 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- phi1 phi2) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
221.180 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
221.180 * * [simplify]: iters left: 6 (25 enodes)
221.187 * * [simplify]: iters left: 5 (121 enodes)
221.221 * * [simplify]: iters left: 4 (343 enodes)
221.392 * * [simplify]: Extracting #0: cost 1 inf + 0
221.392 * * [simplify]: Extracting #1: cost 3 inf + 0
221.392 * * [simplify]: Extracting #2: cost 33 inf + 0
221.392 * * [simplify]: Extracting #3: cost 142 inf + 0
221.394 * * [simplify]: Extracting #4: cost 242 inf + 86
221.397 * * [simplify]: Extracting #5: cost 366 inf + 823
221.403 * * [simplify]: Extracting #6: cost 290 inf + 13498
221.420 * * [simplify]: Extracting #7: cost 88 inf + 76290
221.472 * * [simplify]: Extracting #8: cost 2 inf + 119422
221.531 * * [simplify]: Extracting #9: cost 0 inf + 120670
221.591 * [simplify]: Simplified to (sqrt (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
221.591 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
221.592 * * * * [progress]: [ 225 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
221.593 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
221.593 * * [simplify]: iters left: 6 (46 enodes)
221.618 * * [simplify]: iters left: 5 (229 enodes)
221.686 * * [simplify]: Extracting #0: cost 1 inf + 0
221.686 * * [simplify]: Extracting #1: cost 3 inf + 0
221.686 * * [simplify]: Extracting #2: cost 10 inf + 0
221.686 * * [simplify]: Extracting #3: cost 65 inf + 0
221.686 * * [simplify]: Extracting #4: cost 117 inf + 44
221.687 * * [simplify]: Extracting #5: cost 158 inf + 904
221.688 * * [simplify]: Extracting #6: cost 234 inf + 2932
221.689 * * [simplify]: Extracting #7: cost 241 inf + 3300
221.692 * * [simplify]: Extracting #8: cost 174 inf + 16641
221.699 * * [simplify]: Extracting #9: cost 97 inf + 44984
221.716 * * [simplify]: Extracting #10: cost 34 inf + 75853
221.753 * * [simplify]: Extracting #11: cost 5 inf + 99903
221.775 * * [simplify]: Extracting #12: cost 0 inf + 105708
221.812 * * [simplify]: Extracting #13: cost 0 inf + 105548
221.834 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ phi2 phi1)))))
221.834 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
221.835 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
221.835 * * [simplify]: iters left: 6 (21 enodes)
221.840 * * [simplify]: iters left: 5 (103 enodes)
221.870 * * [simplify]: iters left: 4 (284 enodes)
221.988 * * [simplify]: Extracting #0: cost 1 inf + 0
221.989 * * [simplify]: Extracting #1: cost 3 inf + 0
221.989 * * [simplify]: Extracting #2: cost 23 inf + 0
221.989 * * [simplify]: Extracting #3: cost 70 inf + 0
221.990 * * [simplify]: Extracting #4: cost 136 inf + 2
221.991 * * [simplify]: Extracting #5: cost 217 inf + 44
221.998 * * [simplify]: Extracting #6: cost 127 inf + 17872
222.025 * * [simplify]: Extracting #7: cost 9 inf + 57637
222.043 * * [simplify]: Extracting #8: cost 0 inf + 56620
222.064 * * [simplify]: Extracting #9: cost 0 inf + 56220
222.093 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
222.093 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))))
222.094 * * * * [progress]: [ 226 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
222.095 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
222.095 * * [simplify]: iters left: 6 (47 enodes)
222.120 * * [simplify]: iters left: 5 (233 enodes)
222.220 * * [simplify]: Extracting #0: cost 1 inf + 0
222.220 * * [simplify]: Extracting #1: cost 3 inf + 0
222.220 * * [simplify]: Extracting #2: cost 6 inf + 0
222.220 * * [simplify]: Extracting #3: cost 54 inf + 0
222.221 * * [simplify]: Extracting #4: cost 120 inf + 0
222.222 * * [simplify]: Extracting #5: cost 189 inf + 0
222.223 * * [simplify]: Extracting #6: cost 265 inf + 805
222.227 * * [simplify]: Extracting #7: cost 218 inf + 13894
222.234 * * [simplify]: Extracting #8: cost 158 inf + 22738
222.248 * * [simplify]: Extracting #9: cost 90 inf + 45626
222.268 * * [simplify]: Extracting #10: cost 54 inf + 59204
222.288 * * [simplify]: Extracting #11: cost 31 inf + 73979
222.307 * * [simplify]: Extracting #12: cost 7 inf + 98619
222.335 * * [simplify]: Extracting #13: cost 0 inf + 107594
222.357 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))))
222.357 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
222.358 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
222.358 * * [simplify]: iters left: 6 (24 enodes)
222.364 * * [simplify]: iters left: 5 (113 enodes)
222.390 * * [simplify]: iters left: 4 (335 enodes)
222.561 * * [simplify]: Extracting #0: cost 1 inf + 0
222.562 * * [simplify]: Extracting #1: cost 3 inf + 0
222.562 * * [simplify]: Extracting #2: cost 36 inf + 0
222.562 * * [simplify]: Extracting #3: cost 279 inf + 0
222.566 * * [simplify]: Extracting #4: cost 442 inf + 85
222.569 * * [simplify]: Extracting #5: cost 481 inf + 5884
222.597 * * [simplify]: Extracting #6: cost 213 inf + 100348
222.657 * * [simplify]: Extracting #7: cost 9 inf + 189211
222.712 * * [simplify]: Extracting #8: cost 0 inf + 187239
222.803 * * [simplify]: Extracting #9: cost 0 inf + 186879
222.898 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))
222.898 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))))))
222.899 * * * * [progress]: [ 227 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
222.899 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
222.900 * * [simplify]: iters left: 6 (48 enodes)
222.925 * * [simplify]: iters left: 5 (242 enodes)
222.988 * * [simplify]: Extracting #0: cost 1 inf + 0
222.988 * * [simplify]: Extracting #1: cost 3 inf + 0
222.988 * * [simplify]: Extracting #2: cost 6 inf + 0
222.988 * * [simplify]: Extracting #3: cost 58 inf + 0
222.989 * * [simplify]: Extracting #4: cost 143 inf + 0
222.989 * * [simplify]: Extracting #5: cost 198 inf + 371
222.991 * * [simplify]: Extracting #6: cost 237 inf + 5572
222.993 * * [simplify]: Extracting #7: cost 215 inf + 13555
222.997 * * [simplify]: Extracting #8: cost 160 inf + 24574
223.004 * * [simplify]: Extracting #9: cost 83 inf + 45053
223.017 * * [simplify]: Extracting #10: cost 62 inf + 55366
223.048 * * [simplify]: Extracting #11: cost 12 inf + 94001
223.087 * * [simplify]: Extracting #12: cost 2 inf + 103121
223.129 * * [simplify]: Extracting #13: cost 0 inf + 106651
223.152 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
223.153 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
223.153 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
223.153 * * [simplify]: iters left: 6 (25 enodes)
223.160 * * [simplify]: iters left: 5 (117 enodes)
223.203 * * [simplify]: iters left: 4 (333 enodes)
223.435 * * [simplify]: Extracting #0: cost 1 inf + 0
223.435 * * [simplify]: Extracting #1: cost 3 inf + 0
223.435 * * [simplify]: Extracting #2: cost 64 inf + 0
223.436 * * [simplify]: Extracting #3: cost 301 inf + 0
223.443 * * [simplify]: Extracting #4: cost 403 inf + 127
223.449 * * [simplify]: Extracting #5: cost 506 inf + 5518
223.463 * * [simplify]: Extracting #6: cost 388 inf + 33659
223.495 * * [simplify]: Extracting #7: cost 81 inf + 140924
223.568 * * [simplify]: Extracting #8: cost 0 inf + 184892
223.624 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (+ phi2 phi1))))
223.625 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (+ phi2 phi1)))))))
223.627 * * * * [progress]: [ 228 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
223.628 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
223.629 * * [simplify]: iters left: 6 (48 enodes)
223.654 * * [simplify]: iters left: 5 (242 enodes)
223.728 * * [simplify]: Extracting #0: cost 1 inf + 0
223.728 * * [simplify]: Extracting #1: cost 3 inf + 0
223.728 * * [simplify]: Extracting #2: cost 6 inf + 0
223.728 * * [simplify]: Extracting #3: cost 60 inf + 0
223.729 * * [simplify]: Extracting #4: cost 141 inf + 0
223.730 * * [simplify]: Extracting #5: cost 195 inf + 290
223.733 * * [simplify]: Extracting #6: cost 230 inf + 6980
223.737 * * [simplify]: Extracting #7: cost 219 inf + 11727
223.744 * * [simplify]: Extracting #8: cost 174 inf + 20029
223.755 * * [simplify]: Extracting #9: cost 116 inf + 33733
223.768 * * [simplify]: Extracting #10: cost 60 inf + 55540
223.780 * * [simplify]: Extracting #11: cost 36 inf + 70204
223.802 * * [simplify]: Extracting #12: cost 2 inf + 100793
223.838 * * [simplify]: Extracting #13: cost 0 inf + 104323
223.876 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
223.876 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
223.878 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
223.878 * * [simplify]: iters left: 6 (25 enodes)
223.889 * * [simplify]: iters left: 5 (117 enodes)
223.934 * * [simplify]: iters left: 4 (331 enodes)
224.112 * * [simplify]: Extracting #0: cost 1 inf + 0
224.112 * * [simplify]: Extracting #1: cost 3 inf + 0
224.112 * * [simplify]: Extracting #2: cost 56 inf + 0
224.113 * * [simplify]: Extracting #3: cost 280 inf + 0
224.118 * * [simplify]: Extracting #4: cost 368 inf + 373
224.120 * * [simplify]: Extracting #5: cost 474 inf + 4515
224.127 * * [simplify]: Extracting #6: cost 338 inf + 36550
224.153 * * [simplify]: Extracting #7: cost 86 inf + 117652
224.202 * * [simplify]: Extracting #8: cost 1 inf + 165966
224.255 * * [simplify]: Extracting #9: cost 0 inf + 166650
224.328 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))
224.328 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))))
224.329 * * * * [progress]: [ 229 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
224.330 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
224.330 * * [simplify]: iters left: 6 (42 enodes)
224.353 * * [simplify]: iters left: 5 (206 enodes)
224.440 * * [simplify]: Extracting #0: cost 1 inf + 0
224.440 * * [simplify]: Extracting #1: cost 3 inf + 0
224.440 * * [simplify]: Extracting #2: cost 6 inf + 0
224.440 * * [simplify]: Extracting #3: cost 52 inf + 0
224.441 * * [simplify]: Extracting #4: cost 109 inf + 0
224.442 * * [simplify]: Extracting #5: cost 147 inf + 44
224.443 * * [simplify]: Extracting #6: cost 211 inf + 1152
224.445 * * [simplify]: Extracting #7: cost 203 inf + 3429
224.454 * * [simplify]: Extracting #8: cost 115 inf + 26474
224.478 * * [simplify]: Extracting #9: cost 28 inf + 70801
224.497 * * [simplify]: Extracting #10: cost 0 inf + 84982
224.529 * * [simplify]: Extracting #11: cost 0 inf + 84022
224.563 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))))
224.563 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
224.564 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))
224.565 * * [simplify]: iters left: 6 (20 enodes)
224.574 * * [simplify]: iters left: 5 (95 enodes)
224.606 * * [simplify]: iters left: 4 (260 enodes)
224.700 * * [simplify]: Extracting #0: cost 1 inf + 0
224.700 * * [simplify]: Extracting #1: cost 3 inf + 0
224.700 * * [simplify]: Extracting #2: cost 29 inf + 0
224.701 * * [simplify]: Extracting #3: cost 140 inf + 0
224.701 * * [simplify]: Extracting #4: cost 193 inf + 251
224.704 * * [simplify]: Extracting #5: cost 261 inf + 3377
224.715 * * [simplify]: Extracting #6: cost 167 inf + 31052
224.753 * * [simplify]: Extracting #7: cost 9 inf + 78923
224.791 * * [simplify]: Extracting #8: cost 0 inf + 78911
224.831 * * [simplify]: Extracting #9: cost 0 inf + 78671
224.868 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2)))))
224.868 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2))))))))
224.869 * * * * [progress]: [ 230 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
224.869 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
224.870 * * [simplify]: iters left: 6 (47 enodes)
224.883 * * [simplify]: iters left: 5 (234 enodes)
224.980 * * [simplify]: Extracting #0: cost 1 inf + 0
224.980 * * [simplify]: Extracting #1: cost 3 inf + 0
224.980 * * [simplify]: Extracting #2: cost 10 inf + 0
224.980 * * [simplify]: Extracting #3: cost 72 inf + 0
224.981 * * [simplify]: Extracting #4: cost 126 inf + 42
224.982 * * [simplify]: Extracting #5: cost 167 inf + 290
224.984 * * [simplify]: Extracting #6: cost 230 inf + 2565
224.987 * * [simplify]: Extracting #7: cost 215 inf + 8169
224.993 * * [simplify]: Extracting #8: cost 116 inf + 34340
225.003 * * [simplify]: Extracting #9: cost 39 inf + 64868
225.037 * * [simplify]: Extracting #10: cost 3 inf + 95838
225.074 * * [simplify]: Extracting #11: cost 0 inf + 98993
225.094 * * [simplify]: Extracting #12: cost 0 inf + 98873
225.122 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
225.122 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
225.123 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
225.123 * * [simplify]: iters left: 6 (23 enodes)
225.128 * * [simplify]: iters left: 5 (108 enodes)
225.154 * * [simplify]: iters left: 4 (279 enodes)
225.297 * * [simplify]: Extracting #0: cost 1 inf + 0
225.297 * * [simplify]: Extracting #1: cost 3 inf + 0
225.297 * * [simplify]: Extracting #2: cost 28 inf + 0
225.298 * * [simplify]: Extracting #3: cost 107 inf + 0
225.299 * * [simplify]: Extracting #4: cost 183 inf + 85
225.301 * * [simplify]: Extracting #5: cost 296 inf + 780
225.305 * * [simplify]: Extracting #6: cost 326 inf + 4078
225.323 * * [simplify]: Extracting #7: cost 149 inf + 52190
225.367 * * [simplify]: Extracting #8: cost 1 inf + 95363
225.414 * * [simplify]: Extracting #9: cost 0 inf + 91927
225.456 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
225.456 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
225.457 * * * * [progress]: [ 231 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
225.458 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
225.458 * * [simplify]: iters left: 6 (42 enodes)
225.481 * * [simplify]: iters left: 5 (206 enodes)
225.565 * * [simplify]: Extracting #0: cost 1 inf + 0
225.565 * * [simplify]: Extracting #1: cost 3 inf + 0
225.565 * * [simplify]: Extracting #2: cost 10 inf + 0
225.565 * * [simplify]: Extracting #3: cost 64 inf + 0
225.566 * * [simplify]: Extracting #4: cost 106 inf + 86
225.567 * * [simplify]: Extracting #5: cost 131 inf + 1229
225.568 * * [simplify]: Extracting #6: cost 198 inf + 2770
225.571 * * [simplify]: Extracting #7: cost 204 inf + 3141
225.576 * * [simplify]: Extracting #8: cost 147 inf + 15752
225.594 * * [simplify]: Extracting #9: cost 60 inf + 48670
225.622 * * [simplify]: Extracting #10: cost 10 inf + 77086
225.654 * * [simplify]: Extracting #11: cost 0 inf + 83072
225.686 * * [simplify]: Extracting #12: cost 0 inf + 83032
225.718 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (+ phi2 phi1)))))
225.718 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
225.720 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))
225.720 * * [simplify]: iters left: 6 (19 enodes)
225.731 * * [simplify]: iters left: 5 (90 enodes)
225.749 * * [simplify]: iters left: 4 (220 enodes)
225.827 * * [simplify]: Extracting #0: cost 1 inf + 0
225.827 * * [simplify]: Extracting #1: cost 3 inf + 0
225.827 * * [simplify]: Extracting #2: cost 18 inf + 0
225.828 * * [simplify]: Extracting #3: cost 44 inf + 0
225.828 * * [simplify]: Extracting #4: cost 92 inf + 2
225.829 * * [simplify]: Extracting #5: cost 173 inf + 44
225.831 * * [simplify]: Extracting #6: cost 159 inf + 3052
225.841 * * [simplify]: Extracting #7: cost 45 inf + 26408
225.860 * * [simplify]: Extracting #8: cost 1 inf + 39932
225.878 * * [simplify]: Extracting #9: cost 0 inf + 40135
225.889 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (+ phi1 phi2)))
225.889 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (+ phi1 phi2))))))
225.890 * * * * [progress]: [ 232 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
225.890 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
225.890 * * [simplify]: iters left: 6 (47 enodes)
225.905 * * [simplify]: iters left: 5 (234 enodes)
225.980 * * [simplify]: Extracting #0: cost 1 inf + 0
225.980 * * [simplify]: Extracting #1: cost 3 inf + 0
225.980 * * [simplify]: Extracting #2: cost 10 inf + 0
225.980 * * [simplify]: Extracting #3: cost 72 inf + 0
225.981 * * [simplify]: Extracting #4: cost 126 inf + 42
225.982 * * [simplify]: Extracting #5: cost 166 inf + 332
225.984 * * [simplify]: Extracting #6: cost 226 inf + 3414
225.987 * * [simplify]: Extracting #7: cost 215 inf + 8169
225.998 * * [simplify]: Extracting #8: cost 113 inf + 36673
226.017 * * [simplify]: Extracting #9: cost 18 inf + 86313
226.041 * * [simplify]: Extracting #10: cost 0 inf + 100513
226.066 * * [simplify]: Extracting #11: cost 0 inf + 99833
226.103 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
226.103 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
226.104 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
226.104 * * [simplify]: iters left: 6 (23 enodes)
226.116 * * [simplify]: iters left: 5 (108 enodes)
226.157 * * [simplify]: iters left: 4 (279 enodes)
226.300 * * [simplify]: Extracting #0: cost 1 inf + 0
226.300 * * [simplify]: Extracting #1: cost 3 inf + 0
226.301 * * [simplify]: Extracting #2: cost 28 inf + 0
226.301 * * [simplify]: Extracting #3: cost 107 inf + 0
226.301 * * [simplify]: Extracting #4: cost 183 inf + 85
226.303 * * [simplify]: Extracting #5: cost 296 inf + 780
226.304 * * [simplify]: Extracting #6: cost 326 inf + 4078
226.322 * * [simplify]: Extracting #7: cost 149 inf + 52190
226.365 * * [simplify]: Extracting #8: cost 1 inf + 95363
226.398 * * [simplify]: Extracting #9: cost 0 inf + 91927
226.425 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
226.425 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
226.426 * * * * [progress]: [ 233 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
226.427 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
226.427 * * [simplify]: iters left: 6 (42 enodes)
226.448 * * [simplify]: iters left: 5 (206 enodes)
226.506 * * [simplify]: Extracting #0: cost 1 inf + 0
226.506 * * [simplify]: Extracting #1: cost 3 inf + 0
226.507 * * [simplify]: Extracting #2: cost 10 inf + 0
226.507 * * [simplify]: Extracting #3: cost 63 inf + 0
226.507 * * [simplify]: Extracting #4: cost 107 inf + 44
226.507 * * [simplify]: Extracting #5: cost 135 inf + 781
226.508 * * [simplify]: Extracting #6: cost 198 inf + 2770
226.510 * * [simplify]: Extracting #7: cost 204 inf + 3141
226.512 * * [simplify]: Extracting #8: cost 148 inf + 15711
226.531 * * [simplify]: Extracting #9: cost 60 inf + 48830
226.562 * * [simplify]: Extracting #10: cost 10 inf + 77606
226.592 * * [simplify]: Extracting #11: cost 0 inf + 83632
226.609 * * [simplify]: Extracting #12: cost 0 inf + 83592
226.626 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (+ phi2 phi1)))))
226.626 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
226.627 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))
226.627 * * [simplify]: iters left: 6 (19 enodes)
226.632 * * [simplify]: iters left: 5 (90 enodes)
226.662 * * [simplify]: iters left: 4 (220 enodes)
226.739 * * [simplify]: Extracting #0: cost 1 inf + 0
226.739 * * [simplify]: Extracting #1: cost 3 inf + 0
226.740 * * [simplify]: Extracting #2: cost 18 inf + 0
226.740 * * [simplify]: Extracting #3: cost 44 inf + 0
226.740 * * [simplify]: Extracting #4: cost 92 inf + 2
226.741 * * [simplify]: Extracting #5: cost 173 inf + 44
226.743 * * [simplify]: Extracting #6: cost 159 inf + 3052
226.753 * * [simplify]: Extracting #7: cost 45 inf + 26408
226.775 * * [simplify]: Extracting #8: cost 1 inf + 39932
226.797 * * [simplify]: Extracting #9: cost 0 inf + 40135
226.820 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (+ phi1 phi2)))
226.821 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (+ phi1 phi2))))))
226.822 * * * * [progress]: [ 234 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
226.822 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
226.823 * * [simplify]: iters left: 6 (52 enodes)
226.840 * * [simplify]: iters left: 5 (254 enodes)
226.920 * * [simplify]: Extracting #0: cost 1 inf + 0
226.920 * * [simplify]: Extracting #1: cost 3 inf + 0
226.920 * * [simplify]: Extracting #2: cost 6 inf + 0
226.920 * * [simplify]: Extracting #3: cost 56 inf + 0
226.921 * * [simplify]: Extracting #4: cost 130 inf + 0
226.922 * * [simplify]: Extracting #5: cost 208 inf + 0
226.922 * * [simplify]: Extracting #6: cost 299 inf + 721
226.924 * * [simplify]: Extracting #7: cost 244 inf + 12178
226.929 * * [simplify]: Extracting #8: cost 144 inf + 35180
226.939 * * [simplify]: Extracting #9: cost 64 inf + 62931
226.953 * * [simplify]: Extracting #10: cost 39 inf + 80913
226.979 * * [simplify]: Extracting #11: cost 10 inf + 113855
227.031 * * [simplify]: Extracting #12: cost 0 inf + 126625
227.065 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
227.065 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
227.065 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
227.066 * * [simplify]: iters left: 6 (25 enodes)
227.072 * * [simplify]: iters left: 5 (116 enodes)
227.094 * * [simplify]: iters left: 4 (344 enodes)
227.308 * * [simplify]: Extracting #0: cost 1 inf + 0
227.308 * * [simplify]: Extracting #1: cost 3 inf + 0
227.308 * * [simplify]: Extracting #2: cost 44 inf + 0
227.309 * * [simplify]: Extracting #3: cost 310 inf + 0
227.313 * * [simplify]: Extracting #4: cost 498 inf + 165
227.319 * * [simplify]: Extracting #5: cost 593 inf + 5569
227.334 * * [simplify]: Extracting #6: cost 454 inf + 36018
227.383 * * [simplify]: Extracting #7: cost 164 inf + 142150
227.488 * * [simplify]: Extracting #8: cost 4 inf + 243194
227.559 * * [simplify]: Extracting #9: cost 0 inf + 245609
227.660 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))
227.660 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))))
227.661 * * * * [progress]: [ 235 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
227.662 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
227.662 * * [simplify]: iters left: 6 (53 enodes)
227.691 * * [simplify]: iters left: 5 (263 enodes)
227.776 * * [simplify]: Extracting #0: cost 1 inf + 0
227.776 * * [simplify]: Extracting #1: cost 3 inf + 0
227.776 * * [simplify]: Extracting #2: cost 6 inf + 0
227.776 * * [simplify]: Extracting #3: cost 60 inf + 0
227.776 * * [simplify]: Extracting #4: cost 153 inf + 0
227.777 * * [simplify]: Extracting #5: cost 222 inf + 44
227.778 * * [simplify]: Extracting #6: cost 275 inf + 4801
227.781 * * [simplify]: Extracting #7: cost 241 inf + 12454
227.786 * * [simplify]: Extracting #8: cost 157 inf + 32085
227.796 * * [simplify]: Extracting #9: cost 67 inf + 64414
227.827 * * [simplify]: Extracting #10: cost 11 inf + 116628
227.873 * * [simplify]: Extracting #11: cost 0 inf + 131042
227.900 * * [simplify]: Extracting #12: cost 0 inf + 130762
227.930 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
227.930 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
227.931 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
227.931 * * [simplify]: iters left: 6 (26 enodes)
227.937 * * [simplify]: iters left: 5 (120 enodes)
227.982 * * [simplify]: iters left: 4 (342 enodes)
228.219 * * [simplify]: Extracting #0: cost 1 inf + 0
228.219 * * [simplify]: Extracting #1: cost 3 inf + 0
228.220 * * [simplify]: Extracting #2: cost 67 inf + 0
228.220 * * [simplify]: Extracting #3: cost 318 inf + 0
228.222 * * [simplify]: Extracting #4: cost 432 inf + 412
228.225 * * [simplify]: Extracting #5: cost 527 inf + 7697
228.231 * * [simplify]: Extracting #6: cost 453 inf + 24629
228.262 * * [simplify]: Extracting #7: cost 170 inf + 126320
228.335 * * [simplify]: Extracting #8: cost 2 inf + 217286
228.393 * * [simplify]: Extracting #9: cost 0 inf + 218654
228.462 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1))))
228.462 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)))))))
228.462 * * * * [progress]: [ 236 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
228.463 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
228.463 * * [simplify]: iters left: 6 (53 enodes)
228.483 * * [simplify]: iters left: 5 (263 enodes)
228.578 * * [simplify]: Extracting #0: cost 1 inf + 0
228.578 * * [simplify]: Extracting #1: cost 3 inf + 0
228.578 * * [simplify]: Extracting #2: cost 6 inf + 0
228.578 * * [simplify]: Extracting #3: cost 62 inf + 0
228.579 * * [simplify]: Extracting #4: cost 151 inf + 0
228.580 * * [simplify]: Extracting #5: cost 218 inf + 44
228.582 * * [simplify]: Extracting #6: cost 275 inf + 4312
228.586 * * [simplify]: Extracting #7: cost 244 inf + 11721
228.591 * * [simplify]: Extracting #8: cost 169 inf + 28600
228.602 * * [simplify]: Extracting #9: cost 66 inf + 65267
228.620 * * [simplify]: Extracting #10: cost 36 inf + 85734
228.665 * * [simplify]: Extracting #11: cost 9 inf + 118449
228.694 * * [simplify]: Extracting #12: cost 0 inf + 130154
228.741 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
228.741 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
228.742 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
228.742 * * [simplify]: iters left: 6 (26 enodes)
228.755 * * [simplify]: iters left: 5 (120 enodes)
228.782 * * [simplify]: iters left: 4 (340 enodes)
229.015 * * [simplify]: Extracting #0: cost 1 inf + 0
229.015 * * [simplify]: Extracting #1: cost 3 inf + 0
229.015 * * [simplify]: Extracting #2: cost 61 inf + 0
229.016 * * [simplify]: Extracting #3: cost 307 inf + 0
229.019 * * [simplify]: Extracting #4: cost 407 inf + 126
229.024 * * [simplify]: Extracting #5: cost 506 inf + 5685
229.035 * * [simplify]: Extracting #6: cost 416 inf + 23285
229.073 * * [simplify]: Extracting #7: cost 162 inf + 111020
229.146 * * [simplify]: Extracting #8: cost 4 inf + 198050
229.215 * * [simplify]: Extracting #9: cost 0 inf + 200746
229.304 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
229.304 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
229.305 * * * * [progress]: [ 237 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
229.306 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
229.307 * * [simplify]: iters left: 6 (47 enodes)
229.331 * * [simplify]: iters left: 5 (227 enodes)
229.423 * * [simplify]: Extracting #0: cost 1 inf + 0
229.423 * * [simplify]: Extracting #1: cost 3 inf + 0
229.423 * * [simplify]: Extracting #2: cost 6 inf + 0
229.423 * * [simplify]: Extracting #3: cost 54 inf + 0
229.424 * * [simplify]: Extracting #4: cost 119 inf + 0
229.424 * * [simplify]: Extracting #5: cost 166 inf + 44
229.426 * * [simplify]: Extracting #6: cost 238 inf + 1518
229.429 * * [simplify]: Extracting #7: cost 231 inf + 3466
229.435 * * [simplify]: Extracting #8: cost 146 inf + 23182
229.446 * * [simplify]: Extracting #9: cost 57 inf + 55451
229.459 * * [simplify]: Extracting #10: cost 28 inf + 75219
229.485 * * [simplify]: Extracting #11: cost 5 inf + 98168
229.506 * * [simplify]: Extracting #12: cost 1 inf + 103948
229.541 * * [simplify]: Extracting #13: cost 0 inf + 105773
229.563 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))
229.563 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
229.564 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
229.564 * * [simplify]: iters left: 6 (21 enodes)
229.569 * * [simplify]: iters left: 5 (98 enodes)
229.597 * * [simplify]: iters left: 4 (268 enodes)
229.720 * * [simplify]: Extracting #0: cost 1 inf + 0
229.720 * * [simplify]: Extracting #1: cost 3 inf + 0
229.720 * * [simplify]: Extracting #2: cost 37 inf + 0
229.721 * * [simplify]: Extracting #3: cost 162 inf + 0
229.722 * * [simplify]: Extracting #4: cost 226 inf + 44
229.724 * * [simplify]: Extracting #5: cost 313 inf + 334
229.735 * * [simplify]: Extracting #6: cost 213 inf + 32544
229.765 * * [simplify]: Extracting #7: cost 21 inf + 95898
229.799 * * [simplify]: Extracting #8: cost 0 inf + 101893
229.843 * * [simplify]: Extracting #9: cost 0 inf + 99693
229.870 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (+ phi1 phi2))))
229.870 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
229.871 * * * * [progress]: [ 238 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
229.871 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
229.872 * * [simplify]: iters left: 6 (52 enodes)
229.886 * * [simplify]: iters left: 5 (255 enodes)
229.995 * * [simplify]: Extracting #0: cost 1 inf + 0
229.995 * * [simplify]: Extracting #1: cost 3 inf + 0
229.995 * * [simplify]: Extracting #2: cost 10 inf + 0
229.996 * * [simplify]: Extracting #3: cost 74 inf + 0
229.996 * * [simplify]: Extracting #4: cost 137 inf + 1
229.997 * * [simplify]: Extracting #5: cost 187 inf + 248
229.999 * * [simplify]: Extracting #6: cost 267 inf + 1717
230.003 * * [simplify]: Extracting #7: cost 242 inf + 7381
230.010 * * [simplify]: Extracting #8: cost 166 inf + 25406
230.026 * * [simplify]: Extracting #9: cost 97 inf + 49944
230.053 * * [simplify]: Extracting #10: cost 48 inf + 71464
230.091 * * [simplify]: Extracting #11: cost 7 inf + 111489
230.138 * * [simplify]: Extracting #12: cost 0 inf + 121264
230.186 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))))))))
230.186 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
230.188 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
230.188 * * [simplify]: iters left: 6 (24 enodes)
230.196 * * [simplify]: iters left: 5 (111 enodes)
230.218 * * [simplify]: iters left: 4 (285 enodes)
230.364 * * [simplify]: Extracting #0: cost 1 inf + 0
230.364 * * [simplify]: Extracting #1: cost 3 inf + 0
230.364 * * [simplify]: Extracting #2: cost 33 inf + 0
230.364 * * [simplify]: Extracting #3: cost 143 inf + 0
230.365 * * [simplify]: Extracting #4: cost 227 inf + 168
230.367 * * [simplify]: Extracting #5: cost 301 inf + 782
230.373 * * [simplify]: Extracting #6: cost 209 inf + 30359
230.396 * * [simplify]: Extracting #7: cost 25 inf + 102978
230.441 * * [simplify]: Extracting #8: cost 0 inf + 108176
230.474 * * [simplify]: Extracting #9: cost 0 inf + 106496
230.514 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))
230.514 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))))))))) (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
230.514 * * * * [progress]: [ 239 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
230.515 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
230.515 * * [simplify]: iters left: 6 (47 enodes)
230.527 * * [simplify]: iters left: 5 (227 enodes)
230.601 * * [simplify]: Extracting #0: cost 1 inf + 0
230.601 * * [simplify]: Extracting #1: cost 3 inf + 0
230.601 * * [simplify]: Extracting #2: cost 10 inf + 0
230.602 * * [simplify]: Extracting #3: cost 66 inf + 0
230.602 * * [simplify]: Extracting #4: cost 117 inf + 44
230.603 * * [simplify]: Extracting #5: cost 151 inf + 1106
230.605 * * [simplify]: Extracting #6: cost 228 inf + 2932
230.607 * * [simplify]: Extracting #7: cost 230 inf + 3343
230.611 * * [simplify]: Extracting #8: cost 191 inf + 9783
230.622 * * [simplify]: Extracting #9: cost 116 inf + 32611
230.646 * * [simplify]: Extracting #10: cost 22 inf + 81504
230.685 * * [simplify]: Extracting #11: cost 3 inf + 97108
230.723 * * [simplify]: Extracting #12: cost 1 inf + 99758
230.758 * * [simplify]: Extracting #13: cost 0 inf + 101543
230.778 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))))
230.778 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
230.779 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
230.779 * * [simplify]: iters left: 6 (20 enodes)
230.786 * * [simplify]: iters left: 5 (93 enodes)
230.823 * * [simplify]: iters left: 4 (229 enodes)
230.932 * * [simplify]: Extracting #0: cost 1 inf + 0
230.933 * * [simplify]: Extracting #1: cost 3 inf + 0
230.933 * * [simplify]: Extracting #2: cost 23 inf + 0
230.933 * * [simplify]: Extracting #3: cost 69 inf + 0
230.934 * * [simplify]: Extracting #4: cost 127 inf + 2
230.935 * * [simplify]: Extracting #5: cost 260 inf + 44
230.938 * * [simplify]: Extracting #6: cost 228 inf + 6827
230.952 * * [simplify]: Extracting #7: cost 59 inf + 42541
230.980 * * [simplify]: Extracting #8: cost 9 inf + 60446
231.009 * * [simplify]: Extracting #9: cost 0 inf + 64474
231.038 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (+ phi1 phi2) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))
231.038 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (+ phi1 phi2) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))))
231.039 * * * * [progress]: [ 240 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
231.039 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
231.040 * * [simplify]: iters left: 6 (52 enodes)
231.063 * * [simplify]: iters left: 5 (255 enodes)
231.136 * * [simplify]: Extracting #0: cost 1 inf + 0
231.136 * * [simplify]: Extracting #1: cost 3 inf + 0
231.136 * * [simplify]: Extracting #2: cost 10 inf + 0
231.136 * * [simplify]: Extracting #3: cost 74 inf + 0
231.136 * * [simplify]: Extracting #4: cost 137 inf + 1
231.137 * * [simplify]: Extracting #5: cost 187 inf + 248
231.138 * * [simplify]: Extracting #6: cost 269 inf + 1272
231.139 * * [simplify]: Extracting #7: cost 251 inf + 5403
231.144 * * [simplify]: Extracting #8: cost 171 inf + 25006
231.160 * * [simplify]: Extracting #9: cost 94 inf + 51618
231.184 * * [simplify]: Extracting #10: cost 48 inf + 72424
231.226 * * [simplify]: Extracting #11: cost 8 inf + 111344
231.256 * * [simplify]: Extracting #12: cost 0 inf + 122224
231.287 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))))))))
231.288 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
231.289 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
231.289 * * [simplify]: iters left: 6 (24 enodes)
231.294 * * [simplify]: iters left: 5 (111 enodes)
231.324 * * [simplify]: iters left: 4 (285 enodes)
231.418 * * [simplify]: Extracting #0: cost 1 inf + 0
231.418 * * [simplify]: Extracting #1: cost 3 inf + 0
231.418 * * [simplify]: Extracting #2: cost 33 inf + 0
231.419 * * [simplify]: Extracting #3: cost 143 inf + 0
231.420 * * [simplify]: Extracting #4: cost 227 inf + 168
231.421 * * [simplify]: Extracting #5: cost 301 inf + 782
231.426 * * [simplify]: Extracting #6: cost 209 inf + 30359
231.449 * * [simplify]: Extracting #7: cost 25 inf + 102978
231.477 * * [simplify]: Extracting #8: cost 0 inf + 108176
231.505 * * [simplify]: Extracting #9: cost 0 inf + 106496
231.557 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))
231.557 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))))))))) (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
231.558 * * * * [progress]: [ 241 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
231.559 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
231.559 * * [simplify]: iters left: 6 (47 enodes)
231.586 * * [simplify]: iters left: 5 (227 enodes)
231.685 * * [simplify]: Extracting #0: cost 1 inf + 0
231.685 * * [simplify]: Extracting #1: cost 3 inf + 0
231.685 * * [simplify]: Extracting #2: cost 10 inf + 0
231.686 * * [simplify]: Extracting #3: cost 65 inf + 0
231.686 * * [simplify]: Extracting #4: cost 117 inf + 44
231.687 * * [simplify]: Extracting #5: cost 156 inf + 496
231.689 * * [simplify]: Extracting #6: cost 229 inf + 2770
231.690 * * [simplify]: Extracting #7: cost 231 inf + 3302
231.693 * * [simplify]: Extracting #8: cost 178 inf + 13526
231.699 * * [simplify]: Extracting #9: cost 86 inf + 42994
231.711 * * [simplify]: Extracting #10: cost 34 inf + 71642
231.739 * * [simplify]: Extracting #11: cost 4 inf + 96643
231.763 * * [simplify]: Extracting #12: cost 1 inf + 100878
231.800 * * [simplify]: Extracting #13: cost 0 inf + 102663
231.832 * * [simplify]: Extracting #14: cost 0 inf + 102623
231.853 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))))))
231.853 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
231.854 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
231.854 * * [simplify]: iters left: 6 (20 enodes)
231.864 * * [simplify]: iters left: 5 (93 enodes)
231.893 * * [simplify]: iters left: 4 (229 enodes)
231.965 * * [simplify]: Extracting #0: cost 1 inf + 0
231.965 * * [simplify]: Extracting #1: cost 3 inf + 0
231.965 * * [simplify]: Extracting #2: cost 23 inf + 0
231.966 * * [simplify]: Extracting #3: cost 69 inf + 0
231.966 * * [simplify]: Extracting #4: cost 127 inf + 2
231.967 * * [simplify]: Extracting #5: cost 260 inf + 44
231.968 * * [simplify]: Extracting #6: cost 228 inf + 6827
231.977 * * [simplify]: Extracting #7: cost 59 inf + 42541
232.006 * * [simplify]: Extracting #8: cost 9 inf + 60446
232.021 * * [simplify]: Extracting #9: cost 0 inf + 64474
232.036 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (+ phi1 phi2) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))
232.036 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (+ phi1 phi2) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))))
232.036 * * * * [progress]: [ 242 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
232.037 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
232.037 * * [simplify]: iters left: 6 (52 enodes)
232.064 * * [simplify]: iters left: 5 (254 enodes)
232.151 * * [simplify]: Extracting #0: cost 1 inf + 0
232.151 * * [simplify]: Extracting #1: cost 3 inf + 0
232.151 * * [simplify]: Extracting #2: cost 6 inf + 0
232.151 * * [simplify]: Extracting #3: cost 56 inf + 0
232.151 * * [simplify]: Extracting #4: cost 130 inf + 0
232.152 * * [simplify]: Extracting #5: cost 207 inf + 0
232.153 * * [simplify]: Extracting #6: cost 285 inf + 1550
232.155 * * [simplify]: Extracting #7: cost 225 inf + 13558
232.161 * * [simplify]: Extracting #8: cost 138 inf + 38436
232.170 * * [simplify]: Extracting #9: cost 97 inf + 52406
232.194 * * [simplify]: Extracting #10: cost 50 inf + 70853
232.219 * * [simplify]: Extracting #11: cost 18 inf + 103853
232.246 * * [simplify]: Extracting #12: cost 0 inf + 125223
232.271 * * [simplify]: Extracting #13: cost 0 inf + 124263
232.296 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))
232.296 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
232.297 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
232.297 * * [simplify]: iters left: 6 (25 enodes)
232.303 * * [simplify]: iters left: 5 (116 enodes)
232.334 * * [simplify]: iters left: 4 (344 enodes)
232.508 * * [simplify]: Extracting #0: cost 1 inf + 0
232.508 * * [simplify]: Extracting #1: cost 3 inf + 0
232.508 * * [simplify]: Extracting #2: cost 44 inf + 0
232.508 * * [simplify]: Extracting #3: cost 310 inf + 0
232.510 * * [simplify]: Extracting #4: cost 500 inf + 165
232.514 * * [simplify]: Extracting #5: cost 546 inf + 14497
232.549 * * [simplify]: Extracting #6: cost 203 inf + 130422
232.624 * * [simplify]: Extracting #7: cost 2 inf + 234282
232.712 * * [simplify]: Extracting #8: cost 0 inf + 232529
232.787 * * [simplify]: Extracting #9: cost 0 inf + 232249
232.866 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))
232.866 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))))
232.867 * * * * [progress]: [ 243 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
232.867 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
232.867 * * [simplify]: iters left: 6 (53 enodes)
232.882 * * [simplify]: iters left: 5 (263 enodes)
232.978 * * [simplify]: Extracting #0: cost 1 inf + 0
232.978 * * [simplify]: Extracting #1: cost 3 inf + 0
232.978 * * [simplify]: Extracting #2: cost 6 inf + 0
232.978 * * [simplify]: Extracting #3: cost 60 inf + 0
232.979 * * [simplify]: Extracting #4: cost 153 inf + 0
232.980 * * [simplify]: Extracting #5: cost 219 inf + 166
232.982 * * [simplify]: Extracting #6: cost 261 inf + 5379
232.989 * * [simplify]: Extracting #7: cost 208 inf + 17148
233.002 * * [simplify]: Extracting #8: cost 123 inf + 47382
233.015 * * [simplify]: Extracting #9: cost 49 inf + 76257
233.036 * * [simplify]: Extracting #10: cost 9 inf + 117055
233.066 * * [simplify]: Extracting #11: cost 0 inf + 127400
233.106 * * [simplify]: Extracting #12: cost 0 inf + 126920
233.146 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
233.146 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
233.147 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
233.147 * * [simplify]: iters left: 6 (26 enodes)
233.154 * * [simplify]: iters left: 5 (120 enodes)
233.196 * * [simplify]: iters left: 4 (342 enodes)
233.406 * * [simplify]: Extracting #0: cost 1 inf + 0
233.406 * * [simplify]: Extracting #1: cost 3 inf + 0
233.406 * * [simplify]: Extracting #2: cost 67 inf + 0
233.407 * * [simplify]: Extracting #3: cost 318 inf + 0
233.408 * * [simplify]: Extracting #4: cost 434 inf + 412
233.413 * * [simplify]: Extracting #5: cost 468 inf + 21037
233.448 * * [simplify]: Extracting #6: cost 118 inf + 149526
233.503 * * [simplify]: Extracting #7: cost 1 inf + 204170
233.557 * * [simplify]: Extracting #8: cost 0 inf + 204894
233.619 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1))))
233.619 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)))))))
233.620 * * * * [progress]: [ 244 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
233.620 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
233.621 * * [simplify]: iters left: 6 (53 enodes)
233.649 * * [simplify]: iters left: 5 (263 enodes)
233.733 * * [simplify]: Extracting #0: cost 1 inf + 0
233.733 * * [simplify]: Extracting #1: cost 3 inf + 0
233.733 * * [simplify]: Extracting #2: cost 6 inf + 0
233.733 * * [simplify]: Extracting #3: cost 62 inf + 0
233.734 * * [simplify]: Extracting #4: cost 151 inf + 0
233.735 * * [simplify]: Extracting #5: cost 217 inf + 44
233.737 * * [simplify]: Extracting #6: cost 260 inf + 5295
233.744 * * [simplify]: Extracting #7: cost 205 inf + 18917
233.759 * * [simplify]: Extracting #8: cost 124 inf + 45791
233.784 * * [simplify]: Extracting #9: cost 49 inf + 74087
233.808 * * [simplify]: Extracting #10: cost 15 inf + 107977
233.842 * * [simplify]: Extracting #11: cost 0 inf + 125312
233.890 * * [simplify]: Extracting #12: cost 0 inf + 124432
233.933 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
233.933 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
233.933 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
233.934 * * [simplify]: iters left: 6 (26 enodes)
233.940 * * [simplify]: iters left: 5 (120 enodes)
233.974 * * [simplify]: iters left: 4 (340 enodes)
234.179 * * [simplify]: Extracting #0: cost 1 inf + 0
234.179 * * [simplify]: Extracting #1: cost 3 inf + 0
234.179 * * [simplify]: Extracting #2: cost 61 inf + 0
234.180 * * [simplify]: Extracting #3: cost 307 inf + 0
234.187 * * [simplify]: Extracting #4: cost 409 inf + 126
234.195 * * [simplify]: Extracting #5: cost 452 inf + 16149
234.236 * * [simplify]: Extracting #6: cost 122 inf + 127941
234.308 * * [simplify]: Extracting #7: cost 2 inf + 187178
234.375 * * [simplify]: Extracting #8: cost 0 inf + 188426
234.418 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
234.418 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
234.419 * * * * [progress]: [ 245 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
234.419 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
234.419 * * [simplify]: iters left: 6 (47 enodes)
234.432 * * [simplify]: iters left: 5 (227 enodes)
234.523 * * [simplify]: Extracting #0: cost 1 inf + 0
234.524 * * [simplify]: Extracting #1: cost 3 inf + 0
234.524 * * [simplify]: Extracting #2: cost 6 inf + 0
234.524 * * [simplify]: Extracting #3: cost 54 inf + 0
234.524 * * [simplify]: Extracting #4: cost 119 inf + 0
234.525 * * [simplify]: Extracting #5: cost 164 inf + 126
234.527 * * [simplify]: Extracting #6: cost 233 inf + 1520
234.530 * * [simplify]: Extracting #7: cost 218 inf + 5218
234.540 * * [simplify]: Extracting #8: cost 123 inf + 33076
234.558 * * [simplify]: Extracting #9: cost 55 inf + 57115
234.571 * * [simplify]: Extracting #10: cost 28 inf + 70977
234.591 * * [simplify]: Extracting #11: cost 5 inf + 94006
234.629 * * [simplify]: Extracting #12: cost 1 inf + 99786
234.657 * * [simplify]: Extracting #13: cost 0 inf + 101611
234.677 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))))
234.678 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
234.679 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))
234.679 * * [simplify]: iters left: 6 (21 enodes)
234.688 * * [simplify]: iters left: 5 (98 enodes)
234.725 * * [simplify]: iters left: 4 (268 enodes)
234.830 * * [simplify]: Extracting #0: cost 1 inf + 0
234.830 * * [simplify]: Extracting #1: cost 3 inf + 0
234.830 * * [simplify]: Extracting #2: cost 37 inf + 0
234.830 * * [simplify]: Extracting #3: cost 162 inf + 0
234.831 * * [simplify]: Extracting #4: cost 228 inf + 44
234.833 * * [simplify]: Extracting #5: cost 269 inf + 11519
234.867 * * [simplify]: Extracting #6: cost 60 inf + 76833
234.909 * * [simplify]: Extracting #7: cost 0 inf + 94453
234.951 * * [simplify]: Extracting #8: cost 0 inf + 94053
234.996 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (+ phi1 phi2))))
234.996 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (+ phi1 phi2)))))))
234.997 * * * * [progress]: [ 246 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
234.997 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
234.998 * * [simplify]: iters left: 6 (52 enodes)
235.025 * * [simplify]: iters left: 5 (255 enodes)
235.115 * * [simplify]: Extracting #0: cost 1 inf + 0
235.115 * * [simplify]: Extracting #1: cost 3 inf + 0
235.115 * * [simplify]: Extracting #2: cost 10 inf + 0
235.115 * * [simplify]: Extracting #3: cost 74 inf + 0
235.115 * * [simplify]: Extracting #4: cost 137 inf + 1
235.116 * * [simplify]: Extracting #5: cost 186 inf + 248
235.117 * * [simplify]: Extracting #6: cost 253 inf + 2576
235.120 * * [simplify]: Extracting #7: cost 198 inf + 18484
235.126 * * [simplify]: Extracting #8: cost 134 inf + 37232
235.135 * * [simplify]: Extracting #9: cost 97 inf + 51392
235.146 * * [simplify]: Extracting #10: cost 46 inf + 70752
235.176 * * [simplify]: Extracting #11: cost 6 inf + 110712
235.212 * * [simplify]: Extracting #12: cost 0 inf + 118302
235.252 * * [simplify]: Extracting #13: cost 0 inf + 118182
235.292 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))
235.292 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
235.293 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
235.293 * * [simplify]: iters left: 6 (24 enodes)
235.298 * * [simplify]: iters left: 5 (111 enodes)
235.333 * * [simplify]: iters left: 4 (285 enodes)
235.446 * * [simplify]: Extracting #0: cost 1 inf + 0
235.446 * * [simplify]: Extracting #1: cost 3 inf + 0
235.446 * * [simplify]: Extracting #2: cost 33 inf + 0
235.446 * * [simplify]: Extracting #3: cost 143 inf + 0
235.447 * * [simplify]: Extracting #4: cost 229 inf + 168
235.451 * * [simplify]: Extracting #5: cost 237 inf + 20834
235.470 * * [simplify]: Extracting #6: cost 36 inf + 92716
235.502 * * [simplify]: Extracting #7: cost 0 inf + 100496
235.541 * * [simplify]: Extracting #8: cost 0 inf + 99496
235.567 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))
235.567 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))))
235.568 * * * * [progress]: [ 247 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
235.568 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
235.568 * * [simplify]: iters left: 6 (47 enodes)
235.580 * * [simplify]: iters left: 5 (227 enodes)
235.657 * * [simplify]: Extracting #0: cost 1 inf + 0
235.657 * * [simplify]: Extracting #1: cost 3 inf + 0
235.657 * * [simplify]: Extracting #2: cost 10 inf + 0
235.657 * * [simplify]: Extracting #3: cost 66 inf + 0
235.657 * * [simplify]: Extracting #4: cost 117 inf + 44
235.658 * * [simplify]: Extracting #5: cost 151 inf + 1064
235.659 * * [simplify]: Extracting #6: cost 222 inf + 3016
235.660 * * [simplify]: Extracting #7: cost 213 inf + 5014
235.663 * * [simplify]: Extracting #8: cost 159 inf + 15375
235.668 * * [simplify]: Extracting #9: cost 104 inf + 35399
235.683 * * [simplify]: Extracting #10: cost 14 inf + 85825
235.702 * * [simplify]: Extracting #11: cost 1 inf + 95836
235.731 * * [simplify]: Extracting #12: cost 0 inf + 97301
235.769 * * [simplify]: Extracting #13: cost 0 inf + 97141
235.789 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))))))))
235.789 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
235.790 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
235.790 * * [simplify]: iters left: 6 (20 enodes)
235.795 * * [simplify]: iters left: 5 (93 enodes)
235.812 * * [simplify]: iters left: 4 (229 enodes)
235.914 * * [simplify]: Extracting #0: cost 1 inf + 0
235.914 * * [simplify]: Extracting #1: cost 3 inf + 0
235.914 * * [simplify]: Extracting #2: cost 23 inf + 0
235.914 * * [simplify]: Extracting #3: cost 69 inf + 0
235.915 * * [simplify]: Extracting #4: cost 129 inf + 2
235.916 * * [simplify]: Extracting #5: cost 250 inf + 699
235.920 * * [simplify]: Extracting #6: cost 136 inf + 24260
235.931 * * [simplify]: Extracting #7: cost 14 inf + 58914
235.950 * * [simplify]: Extracting #8: cost 0 inf + 62514
235.977 * * [simplify]: Extracting #9: cost 0 inf + 62474
236.008 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2)))))
236.008 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))))))))
236.009 * * * * [progress]: [ 248 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
236.009 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
236.010 * * [simplify]: iters left: 6 (52 enodes)
236.029 * * [simplify]: iters left: 5 (255 enodes)
236.095 * * [simplify]: Extracting #0: cost 1 inf + 0
236.095 * * [simplify]: Extracting #1: cost 3 inf + 0
236.095 * * [simplify]: Extracting #2: cost 10 inf + 0
236.095 * * [simplify]: Extracting #3: cost 74 inf + 0
236.096 * * [simplify]: Extracting #4: cost 137 inf + 1
236.096 * * [simplify]: Extracting #5: cost 186 inf + 248
236.097 * * [simplify]: Extracting #6: cost 258 inf + 1605
236.099 * * [simplify]: Extracting #7: cost 211 inf + 13043
236.105 * * [simplify]: Extracting #8: cost 137 inf + 36895
236.114 * * [simplify]: Extracting #9: cost 95 inf + 52921
236.133 * * [simplify]: Extracting #10: cost 46 inf + 71712
236.158 * * [simplify]: Extracting #11: cost 7 inf + 110487
236.188 * * [simplify]: Extracting #12: cost 0 inf + 119302
236.230 * * [simplify]: Extracting #13: cost 0 inf + 119142
236.258 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))
236.259 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
236.260 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
236.260 * * [simplify]: iters left: 6 (24 enodes)
236.271 * * [simplify]: iters left: 5 (111 enodes)
236.312 * * [simplify]: iters left: 4 (285 enodes)
236.420 * * [simplify]: Extracting #0: cost 1 inf + 0
236.420 * * [simplify]: Extracting #1: cost 3 inf + 0
236.420 * * [simplify]: Extracting #2: cost 33 inf + 0
236.421 * * [simplify]: Extracting #3: cost 143 inf + 0
236.422 * * [simplify]: Extracting #4: cost 229 inf + 168
236.430 * * [simplify]: Extracting #5: cost 237 inf + 20834
236.468 * * [simplify]: Extracting #6: cost 36 inf + 92716
236.497 * * [simplify]: Extracting #7: cost 0 inf + 100496
236.536 * * [simplify]: Extracting #8: cost 0 inf + 99496
236.562 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))
236.562 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))))
236.563 * * * * [progress]: [ 249 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
236.563 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
236.563 * * [simplify]: iters left: 6 (47 enodes)
236.581 * * [simplify]: iters left: 5 (227 enodes)
236.671 * * [simplify]: Extracting #0: cost 1 inf + 0
236.671 * * [simplify]: Extracting #1: cost 3 inf + 0
236.671 * * [simplify]: Extracting #2: cost 10 inf + 0
236.672 * * [simplify]: Extracting #3: cost 65 inf + 0
236.672 * * [simplify]: Extracting #4: cost 117 inf + 44
236.672 * * [simplify]: Extracting #5: cost 155 inf + 496
236.673 * * [simplify]: Extracting #6: cost 223 inf + 2814
236.674 * * [simplify]: Extracting #7: cost 216 inf + 4811
236.677 * * [simplify]: Extracting #8: cost 162 inf + 14969
236.683 * * [simplify]: Extracting #9: cost 98 inf + 38402
236.693 * * [simplify]: Extracting #10: cost 40 inf + 61988
236.717 * * [simplify]: Extracting #11: cost 5 inf + 92176
236.755 * * [simplify]: Extracting #12: cost 1 inf + 96596
236.783 * * [simplify]: Extracting #13: cost 0 inf + 98421
236.804 * * [simplify]: Extracting #14: cost 0 inf + 98341
236.825 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))
236.825 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
236.826 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
236.826 * * [simplify]: iters left: 6 (20 enodes)
236.831 * * [simplify]: iters left: 5 (93 enodes)
236.849 * * [simplify]: iters left: 4 (229 enodes)
236.937 * * [simplify]: Extracting #0: cost 1 inf + 0
236.937 * * [simplify]: Extracting #1: cost 3 inf + 0
236.937 * * [simplify]: Extracting #2: cost 23 inf + 0
236.937 * * [simplify]: Extracting #3: cost 69 inf + 0
236.938 * * [simplify]: Extracting #4: cost 129 inf + 2
236.939 * * [simplify]: Extracting #5: cost 250 inf + 699
236.943 * * [simplify]: Extracting #6: cost 136 inf + 24260
236.955 * * [simplify]: Extracting #7: cost 14 inf + 58914
236.969 * * [simplify]: Extracting #8: cost 0 inf + 62514
236.986 * * [simplify]: Extracting #9: cost 0 inf + 62474
237.003 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2)))))
237.003 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))))))))
237.004 * * * * [progress]: [ 250 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
237.005 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
237.005 * * [simplify]: iters left: 6 (52 enodes)
237.035 * * [simplify]: iters left: 5 (255 enodes)
237.110 * * [simplify]: Extracting #0: cost 1 inf + 0
237.110 * * [simplify]: Extracting #1: cost 3 inf + 0
237.110 * * [simplify]: Extracting #2: cost 6 inf + 0
237.110 * * [simplify]: Extracting #3: cost 56 inf + 0
237.110 * * [simplify]: Extracting #4: cost 130 inf + 0
237.111 * * [simplify]: Extracting #5: cost 207 inf + 0
237.111 * * [simplify]: Extracting #6: cost 295 inf + 2693
237.113 * * [simplify]: Extracting #7: cost 249 inf + 10355
237.117 * * [simplify]: Extracting #8: cost 176 inf + 23805
237.123 * * [simplify]: Extracting #9: cost 123 inf + 39417
237.139 * * [simplify]: Extracting #10: cost 48 inf + 75073
237.171 * * [simplify]: Extracting #11: cost 17 inf + 106640
237.217 * * [simplify]: Extracting #12: cost 0 inf + 128265
237.259 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))
237.259 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
237.260 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
237.261 * * [simplify]: iters left: 6 (25 enodes)
237.268 * * [simplify]: iters left: 5 (116 enodes)
237.310 * * [simplify]: iters left: 4 (344 enodes)
237.511 * * [simplify]: Extracting #0: cost 1 inf + 0
237.511 * * [simplify]: Extracting #1: cost 3 inf + 0
237.511 * * [simplify]: Extracting #2: cost 44 inf + 0
237.512 * * [simplify]: Extracting #3: cost 310 inf + 0
237.515 * * [simplify]: Extracting #4: cost 498 inf + 165
237.521 * * [simplify]: Extracting #5: cost 593 inf + 5569
237.536 * * [simplify]: Extracting #6: cost 454 inf + 36018
237.561 * * [simplify]: Extracting #7: cost 164 inf + 142150
237.634 * * [simplify]: Extracting #8: cost 4 inf + 243194
237.716 * * [simplify]: Extracting #9: cost 0 inf + 245609
237.801 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))
237.801 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))))
237.802 * * * * [progress]: [ 251 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
237.803 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
237.803 * * [simplify]: iters left: 6 (53 enodes)
237.832 * * [simplify]: iters left: 5 (264 enodes)
237.945 * * [simplify]: Extracting #0: cost 1 inf + 0
237.945 * * [simplify]: Extracting #1: cost 3 inf + 0
237.945 * * [simplify]: Extracting #2: cost 6 inf + 0
237.945 * * [simplify]: Extracting #3: cost 60 inf + 0
237.946 * * [simplify]: Extracting #4: cost 153 inf + 0
237.946 * * [simplify]: Extracting #5: cost 221 inf + 44
237.947 * * [simplify]: Extracting #6: cost 276 inf + 4640
237.950 * * [simplify]: Extracting #7: cost 241 inf + 12143
237.955 * * [simplify]: Extracting #8: cost 158 inf + 32511
237.969 * * [simplify]: Extracting #9: cost 45 inf + 85703
238.006 * * [simplify]: Extracting #10: cost 4 inf + 126102
238.048 * * [simplify]: Extracting #11: cost 0 inf + 131722
238.097 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
238.097 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
238.098 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
238.098 * * [simplify]: iters left: 6 (26 enodes)
238.104 * * [simplify]: iters left: 5 (120 enodes)
238.130 * * [simplify]: iters left: 4 (342 enodes)
238.357 * * [simplify]: Extracting #0: cost 1 inf + 0
238.357 * * [simplify]: Extracting #1: cost 3 inf + 0
238.357 * * [simplify]: Extracting #2: cost 67 inf + 0
238.359 * * [simplify]: Extracting #3: cost 318 inf + 0
238.362 * * [simplify]: Extracting #4: cost 432 inf + 412
238.369 * * [simplify]: Extracting #5: cost 527 inf + 7697
238.377 * * [simplify]: Extracting #6: cost 453 inf + 24629
238.402 * * [simplify]: Extracting #7: cost 170 inf + 126320
238.474 * * [simplify]: Extracting #8: cost 2 inf + 217286
238.529 * * [simplify]: Extracting #9: cost 0 inf + 218654
238.598 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1))))
238.598 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)))))))
238.599 * * * * [progress]: [ 252 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
238.599 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
238.599 * * [simplify]: iters left: 6 (53 enodes)
238.619 * * [simplify]: iters left: 5 (264 enodes)
238.713 * * [simplify]: Extracting #0: cost 1 inf + 0
238.713 * * [simplify]: Extracting #1: cost 3 inf + 0
238.713 * * [simplify]: Extracting #2: cost 6 inf + 0
238.713 * * [simplify]: Extracting #3: cost 62 inf + 0
238.714 * * [simplify]: Extracting #4: cost 151 inf + 0
238.715 * * [simplify]: Extracting #5: cost 217 inf + 44
238.717 * * [simplify]: Extracting #6: cost 274 inf + 4635
238.723 * * [simplify]: Extracting #7: cost 238 inf + 12242
238.729 * * [simplify]: Extracting #8: cost 157 inf + 32220
238.740 * * [simplify]: Extracting #9: cost 62 inf + 68651
238.764 * * [simplify]: Extracting #10: cost 13 inf + 114789
238.802 * * [simplify]: Extracting #11: cost 0 inf + 129394
238.840 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
238.840 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
238.842 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
238.842 * * [simplify]: iters left: 6 (26 enodes)
238.850 * * [simplify]: iters left: 5 (120 enodes)
238.873 * * [simplify]: iters left: 4 (340 enodes)
239.038 * * [simplify]: Extracting #0: cost 1 inf + 0
239.038 * * [simplify]: Extracting #1: cost 3 inf + 0
239.039 * * [simplify]: Extracting #2: cost 61 inf + 0
239.040 * * [simplify]: Extracting #3: cost 307 inf + 0
239.043 * * [simplify]: Extracting #4: cost 407 inf + 126
239.048 * * [simplify]: Extracting #5: cost 506 inf + 5685
239.058 * * [simplify]: Extracting #6: cost 416 inf + 23285
239.080 * * [simplify]: Extracting #7: cost 162 inf + 111020
239.133 * * [simplify]: Extracting #8: cost 4 inf + 198050
239.207 * * [simplify]: Extracting #9: cost 0 inf + 200746
239.278 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
239.278 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
239.279 * * * * [progress]: [ 253 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
239.279 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
239.280 * * [simplify]: iters left: 6 (47 enodes)
239.305 * * [simplify]: iters left: 5 (228 enodes)
239.369 * * [simplify]: Extracting #0: cost 1 inf + 0
239.369 * * [simplify]: Extracting #1: cost 3 inf + 0
239.369 * * [simplify]: Extracting #2: cost 6 inf + 0
239.369 * * [simplify]: Extracting #3: cost 54 inf + 0
239.370 * * [simplify]: Extracting #4: cost 119 inf + 0
239.371 * * [simplify]: Extracting #5: cost 165 inf + 44
239.373 * * [simplify]: Extracting #6: cost 240 inf + 1435
239.374 * * [simplify]: Extracting #7: cost 231 inf + 3588
239.379 * * [simplify]: Extracting #8: cost 128 inf + 32687
239.390 * * [simplify]: Extracting #9: cost 49 inf + 63211
239.409 * * [simplify]: Extracting #10: cost 4 inf + 101166
239.446 * * [simplify]: Extracting #11: cost 1 inf + 105068
239.488 * * [simplify]: Extracting #12: cost 0 inf + 106933
239.511 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))
239.511 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
239.512 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
239.512 * * [simplify]: iters left: 6 (21 enodes)
239.517 * * [simplify]: iters left: 5 (98 enodes)
239.556 * * [simplify]: iters left: 4 (268 enodes)
239.639 * * [simplify]: Extracting #0: cost 1 inf + 0
239.640 * * [simplify]: Extracting #1: cost 3 inf + 0
239.640 * * [simplify]: Extracting #2: cost 37 inf + 0
239.640 * * [simplify]: Extracting #3: cost 162 inf + 0
239.641 * * [simplify]: Extracting #4: cost 226 inf + 44
239.642 * * [simplify]: Extracting #5: cost 313 inf + 334
239.653 * * [simplify]: Extracting #6: cost 213 inf + 32544
239.682 * * [simplify]: Extracting #7: cost 21 inf + 95898
239.710 * * [simplify]: Extracting #8: cost 0 inf + 101893
239.756 * * [simplify]: Extracting #9: cost 0 inf + 99693
239.803 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (+ phi1 phi2))))
239.803 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
239.804 * * * * [progress]: [ 254 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
239.805 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
239.805 * * [simplify]: iters left: 6 (52 enodes)
239.821 * * [simplify]: iters left: 5 (256 enodes)
239.882 * * [simplify]: Extracting #0: cost 1 inf + 0
239.882 * * [simplify]: Extracting #1: cost 3 inf + 0
239.882 * * [simplify]: Extracting #2: cost 10 inf + 0
239.882 * * [simplify]: Extracting #3: cost 74 inf + 0
239.883 * * [simplify]: Extracting #4: cost 137 inf + 1
239.884 * * [simplify]: Extracting #5: cost 186 inf + 248
239.886 * * [simplify]: Extracting #6: cost 266 inf + 2199
239.889 * * [simplify]: Extracting #7: cost 237 inf + 8692
239.895 * * [simplify]: Extracting #8: cost 178 inf + 21277
239.908 * * [simplify]: Extracting #9: cost 103 inf + 44965
239.931 * * [simplify]: Extracting #10: cost 49 inf + 71481
239.967 * * [simplify]: Extracting #11: cost 11 inf + 108029
240.011 * * [simplify]: Extracting #12: cost 1 inf + 120319
240.039 * * [simplify]: Extracting #13: cost 0 inf + 122344
240.064 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))
240.064 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
240.065 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
240.065 * * [simplify]: iters left: 6 (24 enodes)
240.071 * * [simplify]: iters left: 5 (111 enodes)
240.091 * * [simplify]: iters left: 4 (285 enodes)
240.201 * * [simplify]: Extracting #0: cost 1 inf + 0
240.201 * * [simplify]: Extracting #1: cost 3 inf + 0
240.201 * * [simplify]: Extracting #2: cost 33 inf + 0
240.202 * * [simplify]: Extracting #3: cost 143 inf + 0
240.203 * * [simplify]: Extracting #4: cost 227 inf + 168
240.206 * * [simplify]: Extracting #5: cost 301 inf + 782
240.216 * * [simplify]: Extracting #6: cost 209 inf + 30359
240.250 * * [simplify]: Extracting #7: cost 25 inf + 102978
240.285 * * [simplify]: Extracting #8: cost 0 inf + 108176
240.314 * * [simplify]: Extracting #9: cost 0 inf + 106496
240.357 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))
240.357 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
240.358 * * * * [progress]: [ 255 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
240.358 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
240.359 * * [simplify]: iters left: 6 (47 enodes)
240.377 * * [simplify]: iters left: 5 (228 enodes)
240.440 * * [simplify]: Extracting #0: cost 1 inf + 0
240.440 * * [simplify]: Extracting #1: cost 3 inf + 0
240.440 * * [simplify]: Extracting #2: cost 10 inf + 0
240.440 * * [simplify]: Extracting #3: cost 66 inf + 0
240.441 * * [simplify]: Extracting #4: cost 117 inf + 44
240.442 * * [simplify]: Extracting #5: cost 150 inf + 1226
240.444 * * [simplify]: Extracting #6: cost 228 inf + 2972
240.446 * * [simplify]: Extracting #7: cost 230 inf + 3344
240.452 * * [simplify]: Extracting #8: cost 163 inf + 19457
240.466 * * [simplify]: Extracting #9: cost 71 inf + 49237
240.482 * * [simplify]: Extracting #10: cost 14 inf + 91880
240.502 * * [simplify]: Extracting #11: cost 1 inf + 100598
240.534 * * [simplify]: Extracting #12: cost 0 inf + 102223
240.574 * * [simplify]: Extracting #13: cost 0 inf + 102023
240.615 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))
240.615 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
240.616 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
240.617 * * [simplify]: iters left: 6 (20 enodes)
240.626 * * [simplify]: iters left: 5 (93 enodes)
240.661 * * [simplify]: iters left: 4 (229 enodes)
240.771 * * [simplify]: Extracting #0: cost 1 inf + 0
240.771 * * [simplify]: Extracting #1: cost 3 inf + 0
240.771 * * [simplify]: Extracting #2: cost 23 inf + 0
240.772 * * [simplify]: Extracting #3: cost 69 inf + 0
240.772 * * [simplify]: Extracting #4: cost 127 inf + 2
240.774 * * [simplify]: Extracting #5: cost 260 inf + 44
240.775 * * [simplify]: Extracting #6: cost 228 inf + 6827
240.783 * * [simplify]: Extracting #7: cost 59 inf + 42541
240.796 * * [simplify]: Extracting #8: cost 9 inf + 60446
240.822 * * [simplify]: Extracting #9: cost 0 inf + 64474
240.850 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (+ phi1 phi2) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))
240.850 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (+ phi1 phi2) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))))
240.851 * * * * [progress]: [ 256 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
240.852 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
240.852 * * [simplify]: iters left: 6 (52 enodes)
240.878 * * [simplify]: iters left: 5 (256 enodes)
240.960 * * [simplify]: Extracting #0: cost 1 inf + 0
240.960 * * [simplify]: Extracting #1: cost 3 inf + 0
240.960 * * [simplify]: Extracting #2: cost 10 inf + 0
240.961 * * [simplify]: Extracting #3: cost 74 inf + 0
240.961 * * [simplify]: Extracting #4: cost 137 inf + 1
240.962 * * [simplify]: Extracting #5: cost 186 inf + 248
240.964 * * [simplify]: Extracting #6: cost 269 inf + 1272
240.967 * * [simplify]: Extracting #7: cost 241 inf + 7684
240.974 * * [simplify]: Extracting #8: cost 177 inf + 22411
240.989 * * [simplify]: Extracting #9: cost 101 inf + 46470
241.011 * * [simplify]: Extracting #10: cost 49 inf + 72281
241.049 * * [simplify]: Extracting #11: cost 11 inf + 108989
241.080 * * [simplify]: Extracting #12: cost 1 inf + 121279
241.130 * * [simplify]: Extracting #13: cost 0 inf + 123304
241.178 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))
241.178 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
241.180 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
241.180 * * [simplify]: iters left: 6 (24 enodes)
241.191 * * [simplify]: iters left: 5 (111 enodes)
241.233 * * [simplify]: iters left: 4 (285 enodes)
241.378 * * [simplify]: Extracting #0: cost 1 inf + 0
241.378 * * [simplify]: Extracting #1: cost 3 inf + 0
241.379 * * [simplify]: Extracting #2: cost 33 inf + 0
241.379 * * [simplify]: Extracting #3: cost 143 inf + 0
241.381 * * [simplify]: Extracting #4: cost 227 inf + 168
241.383 * * [simplify]: Extracting #5: cost 301 inf + 782
241.392 * * [simplify]: Extracting #6: cost 209 inf + 30359
241.413 * * [simplify]: Extracting #7: cost 25 inf + 102978
241.459 * * [simplify]: Extracting #8: cost 0 inf + 108176
241.513 * * [simplify]: Extracting #9: cost 0 inf + 106496
241.562 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))
241.563 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
241.564 * * * * [progress]: [ 257 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
241.564 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
241.565 * * [simplify]: iters left: 6 (47 enodes)
241.589 * * [simplify]: iters left: 5 (228 enodes)
241.684 * * [simplify]: Extracting #0: cost 1 inf + 0
241.684 * * [simplify]: Extracting #1: cost 3 inf + 0
241.684 * * [simplify]: Extracting #2: cost 10 inf + 0
241.685 * * [simplify]: Extracting #3: cost 65 inf + 0
241.685 * * [simplify]: Extracting #4: cost 117 inf + 44
241.686 * * [simplify]: Extracting #5: cost 154 inf + 618
241.688 * * [simplify]: Extracting #6: cost 229 inf + 2770
241.691 * * [simplify]: Extracting #7: cost 229 inf + 3464
241.697 * * [simplify]: Extracting #8: cost 172 inf + 16187
241.714 * * [simplify]: Extracting #9: cost 69 inf + 51005
241.746 * * [simplify]: Extracting #10: cost 16 inf + 90574
241.781 * * [simplify]: Extracting #11: cost 1 inf + 101078
241.802 * * [simplify]: Extracting #12: cost 0 inf + 102543
241.825 * * [simplify]: Extracting #13: cost 0 inf + 102423
241.845 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))
241.845 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
241.846 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
241.846 * * [simplify]: iters left: 6 (20 enodes)
241.850 * * [simplify]: iters left: 5 (93 enodes)
241.868 * * [simplify]: iters left: 4 (229 enodes)
241.934 * * [simplify]: Extracting #0: cost 1 inf + 0
241.934 * * [simplify]: Extracting #1: cost 3 inf + 0
241.934 * * [simplify]: Extracting #2: cost 23 inf + 0
241.934 * * [simplify]: Extracting #3: cost 69 inf + 0
241.934 * * [simplify]: Extracting #4: cost 127 inf + 2
241.935 * * [simplify]: Extracting #5: cost 260 inf + 44
241.937 * * [simplify]: Extracting #6: cost 228 inf + 6827
241.944 * * [simplify]: Extracting #7: cost 59 inf + 42541
241.968 * * [simplify]: Extracting #8: cost 9 inf + 60446
241.987 * * [simplify]: Extracting #9: cost 0 inf + 64474
242.002 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (+ phi1 phi2) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))
242.002 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (+ phi1 phi2) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))))
242.003 * * * * [progress]: [ 258 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
242.003 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
242.004 * * [simplify]: iters left: 6 (52 enodes)
242.028 * * [simplify]: iters left: 5 (255 enodes)
242.132 * * [simplify]: Extracting #0: cost 1 inf + 0
242.132 * * [simplify]: Extracting #1: cost 3 inf + 0
242.132 * * [simplify]: Extracting #2: cost 6 inf + 0
242.132 * * [simplify]: Extracting #3: cost 56 inf + 0
242.132 * * [simplify]: Extracting #4: cost 130 inf + 0
242.133 * * [simplify]: Extracting #5: cost 207 inf + 0
242.134 * * [simplify]: Extracting #6: cost 281 inf + 3594
242.136 * * [simplify]: Extracting #7: cost 221 inf + 16371
242.142 * * [simplify]: Extracting #8: cost 141 inf + 36881
242.150 * * [simplify]: Extracting #9: cost 99 inf + 52408
242.174 * * [simplify]: Extracting #10: cost 43 inf + 76350
242.196 * * [simplify]: Extracting #11: cost 19 inf + 101830
242.227 * * [simplify]: Extracting #12: cost 0 inf + 125825
242.270 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))
242.270 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
242.271 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
242.272 * * [simplify]: iters left: 6 (25 enodes)
242.282 * * [simplify]: iters left: 5 (116 enodes)
242.305 * * [simplify]: iters left: 4 (344 enodes)
242.525 * * [simplify]: Extracting #0: cost 1 inf + 0
242.525 * * [simplify]: Extracting #1: cost 3 inf + 0
242.525 * * [simplify]: Extracting #2: cost 44 inf + 0
242.527 * * [simplify]: Extracting #3: cost 310 inf + 0
242.530 * * [simplify]: Extracting #4: cost 500 inf + 165
242.537 * * [simplify]: Extracting #5: cost 546 inf + 14497
242.578 * * [simplify]: Extracting #6: cost 203 inf + 130422
242.647 * * [simplify]: Extracting #7: cost 2 inf + 234282
242.724 * * [simplify]: Extracting #8: cost 0 inf + 232529
242.814 * * [simplify]: Extracting #9: cost 0 inf + 232249
242.882 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))
242.882 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))))
242.882 * * * * [progress]: [ 259 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
242.883 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
242.883 * * [simplify]: iters left: 6 (53 enodes)
242.898 * * [simplify]: iters left: 5 (264 enodes)
242.989 * * [simplify]: Extracting #0: cost 1 inf + 0
242.989 * * [simplify]: Extracting #1: cost 3 inf + 0
242.989 * * [simplify]: Extracting #2: cost 6 inf + 0
242.990 * * [simplify]: Extracting #3: cost 60 inf + 0
242.990 * * [simplify]: Extracting #4: cost 153 inf + 0
242.991 * * [simplify]: Extracting #5: cost 221 inf + 44
242.995 * * [simplify]: Extracting #6: cost 258 inf + 6388
243.001 * * [simplify]: Extracting #7: cost 206 inf + 18088
243.015 * * [simplify]: Extracting #8: cost 127 inf + 44486
243.044 * * [simplify]: Extracting #9: cost 51 inf + 74498
243.066 * * [simplify]: Extracting #10: cost 3 inf + 124407
243.110 * * [simplify]: Extracting #11: cost 0 inf + 127242
243.158 * * [simplify]: Extracting #12: cost 0 inf + 127082
243.187 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))
243.188 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
243.188 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
243.188 * * [simplify]: iters left: 6 (26 enodes)
243.195 * * [simplify]: iters left: 5 (120 enodes)
243.231 * * [simplify]: iters left: 4 (342 enodes)
243.419 * * [simplify]: Extracting #0: cost 1 inf + 0
243.419 * * [simplify]: Extracting #1: cost 3 inf + 0
243.419 * * [simplify]: Extracting #2: cost 67 inf + 0
243.421 * * [simplify]: Extracting #3: cost 318 inf + 0
243.423 * * [simplify]: Extracting #4: cost 434 inf + 412
243.429 * * [simplify]: Extracting #5: cost 468 inf + 21037
243.465 * * [simplify]: Extracting #6: cost 118 inf + 149526
243.523 * * [simplify]: Extracting #7: cost 1 inf + 204170
243.608 * * [simplify]: Extracting #8: cost 0 inf + 204894
243.663 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1))))
243.663 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)))))))
243.664 * * * * [progress]: [ 260 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
243.664 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
243.665 * * [simplify]: iters left: 6 (53 enodes)
243.693 * * [simplify]: iters left: 5 (264 enodes)
243.808 * * [simplify]: Extracting #0: cost 1 inf + 0
243.808 * * [simplify]: Extracting #1: cost 3 inf + 0
243.808 * * [simplify]: Extracting #2: cost 6 inf + 0
243.809 * * [simplify]: Extracting #3: cost 62 inf + 0
243.809 * * [simplify]: Extracting #4: cost 151 inf + 0
243.809 * * [simplify]: Extracting #5: cost 217 inf + 44
243.811 * * [simplify]: Extracting #6: cost 262 inf + 5332
243.814 * * [simplify]: Extracting #7: cost 203 inf + 19784
243.822 * * [simplify]: Extracting #8: cost 116 inf + 47942
243.839 * * [simplify]: Extracting #9: cost 48 inf + 75716
243.878 * * [simplify]: Extracting #10: cost 11 inf + 112279
243.924 * * [simplify]: Extracting #11: cost 0 inf + 124754
243.958 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
243.958 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
243.959 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
243.959 * * [simplify]: iters left: 6 (26 enodes)
243.965 * * [simplify]: iters left: 5 (120 enodes)
243.997 * * [simplify]: iters left: 4 (340 enodes)
244.218 * * [simplify]: Extracting #0: cost 1 inf + 0
244.218 * * [simplify]: Extracting #1: cost 3 inf + 0
244.218 * * [simplify]: Extracting #2: cost 61 inf + 0
244.218 * * [simplify]: Extracting #3: cost 307 inf + 0
244.220 * * [simplify]: Extracting #4: cost 409 inf + 126
244.223 * * [simplify]: Extracting #5: cost 452 inf + 16149
244.244 * * [simplify]: Extracting #6: cost 122 inf + 127941
244.315 * * [simplify]: Extracting #7: cost 2 inf + 187178
244.368 * * [simplify]: Extracting #8: cost 0 inf + 188426
244.417 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
244.417 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
244.418 * * * * [progress]: [ 261 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
244.418 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
244.418 * * [simplify]: iters left: 6 (47 enodes)
244.431 * * [simplify]: iters left: 5 (228 enodes)
244.510 * * [simplify]: Extracting #0: cost 1 inf + 0
244.510 * * [simplify]: Extracting #1: cost 3 inf + 0
244.510 * * [simplify]: Extracting #2: cost 6 inf + 0
244.510 * * [simplify]: Extracting #3: cost 54 inf + 0
244.510 * * [simplify]: Extracting #4: cost 119 inf + 0
244.511 * * [simplify]: Extracting #5: cost 165 inf + 44
244.511 * * [simplify]: Extracting #6: cost 234 inf + 1560
244.513 * * [simplify]: Extracting #7: cost 209 inf + 6275
244.523 * * [simplify]: Extracting #8: cost 122 inf + 32713
244.545 * * [simplify]: Extracting #9: cost 45 inf + 64127
244.571 * * [simplify]: Extracting #10: cost 8 inf + 95252
244.594 * * [simplify]: Extracting #11: cost 1 inf + 100988
244.629 * * [simplify]: Extracting #12: cost 0 inf + 102853
244.649 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))
244.649 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
244.651 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))
244.651 * * [simplify]: iters left: 6 (21 enodes)
244.663 * * [simplify]: iters left: 5 (98 enodes)
244.694 * * [simplify]: iters left: 4 (268 enodes)
244.807 * * [simplify]: Extracting #0: cost 1 inf + 0
244.807 * * [simplify]: Extracting #1: cost 3 inf + 0
244.807 * * [simplify]: Extracting #2: cost 37 inf + 0
244.808 * * [simplify]: Extracting #3: cost 162 inf + 0
244.808 * * [simplify]: Extracting #4: cost 228 inf + 44
244.811 * * [simplify]: Extracting #5: cost 269 inf + 11519
244.838 * * [simplify]: Extracting #6: cost 60 inf + 76833
244.872 * * [simplify]: Extracting #7: cost 0 inf + 94453
244.898 * * [simplify]: Extracting #8: cost 0 inf + 94053
244.934 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (+ phi1 phi2))))
244.934 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (+ phi1 phi2)))))))
244.934 * * * * [progress]: [ 262 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
244.934 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
244.935 * * [simplify]: iters left: 6 (52 enodes)
244.949 * * [simplify]: iters left: 5 (256 enodes)
245.043 * * [simplify]: Extracting #0: cost 1 inf + 0
245.043 * * [simplify]: Extracting #1: cost 3 inf + 0
245.043 * * [simplify]: Extracting #2: cost 10 inf + 0
245.044 * * [simplify]: Extracting #3: cost 74 inf + 0
245.044 * * [simplify]: Extracting #4: cost 137 inf + 1
245.044 * * [simplify]: Extracting #5: cost 186 inf + 248
245.046 * * [simplify]: Extracting #6: cost 249 inf + 3788
245.048 * * [simplify]: Extracting #7: cost 199 inf + 15547
245.053 * * [simplify]: Extracting #8: cost 147 inf + 30474
245.062 * * [simplify]: Extracting #9: cost 85 inf + 53912
245.082 * * [simplify]: Extracting #10: cost 49 inf + 69679
245.116 * * [simplify]: Extracting #11: cost 11 inf + 104549
245.140 * * [simplify]: Extracting #12: cost 1 inf + 116279
245.182 * * [simplify]: Extracting #13: cost 0 inf + 118344
245.210 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))
245.210 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
245.212 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
245.212 * * [simplify]: iters left: 6 (24 enodes)
245.217 * * [simplify]: iters left: 5 (111 enodes)
245.260 * * [simplify]: iters left: 4 (285 enodes)
245.400 * * [simplify]: Extracting #0: cost 1 inf + 0
245.400 * * [simplify]: Extracting #1: cost 3 inf + 0
245.401 * * [simplify]: Extracting #2: cost 33 inf + 0
245.401 * * [simplify]: Extracting #3: cost 143 inf + 0
245.403 * * [simplify]: Extracting #4: cost 229 inf + 168
245.410 * * [simplify]: Extracting #5: cost 237 inf + 20834
245.446 * * [simplify]: Extracting #6: cost 36 inf + 92716
245.490 * * [simplify]: Extracting #7: cost 0 inf + 100496
245.514 * * [simplify]: Extracting #8: cost 0 inf + 99496
245.539 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))
245.539 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))))
245.540 * * * * [progress]: [ 263 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
245.540 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
245.540 * * [simplify]: iters left: 6 (47 enodes)
245.553 * * [simplify]: iters left: 5 (228 enodes)
245.603 * * [simplify]: Extracting #0: cost 1 inf + 0
245.603 * * [simplify]: Extracting #1: cost 3 inf + 0
245.603 * * [simplify]: Extracting #2: cost 10 inf + 0
245.603 * * [simplify]: Extracting #3: cost 66 inf + 0
245.604 * * [simplify]: Extracting #4: cost 117 inf + 44
245.604 * * [simplify]: Extracting #5: cost 150 inf + 1226
245.605 * * [simplify]: Extracting #6: cost 223 inf + 3016
245.607 * * [simplify]: Extracting #7: cost 215 inf + 4976
245.610 * * [simplify]: Extracting #8: cost 160 inf + 15334
245.615 * * [simplify]: Extracting #9: cost 103 inf + 36494
245.634 * * [simplify]: Extracting #10: cost 41 inf + 61255
245.665 * * [simplify]: Extracting #11: cost 5 inf + 92458
245.704 * * [simplify]: Extracting #12: cost 1 inf + 96758
245.744 * * [simplify]: Extracting #13: cost 0 inf + 98583
245.771 * * [simplify]: Extracting #14: cost 0 inf + 98423
245.792 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))
245.792 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
245.793 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
245.794 * * [simplify]: iters left: 6 (20 enodes)
245.803 * * [simplify]: iters left: 5 (93 enodes)
245.840 * * [simplify]: iters left: 4 (229 enodes)
245.923 * * [simplify]: Extracting #0: cost 1 inf + 0
245.923 * * [simplify]: Extracting #1: cost 3 inf + 0
245.923 * * [simplify]: Extracting #2: cost 23 inf + 0
245.923 * * [simplify]: Extracting #3: cost 69 inf + 0
245.924 * * [simplify]: Extracting #4: cost 129 inf + 2
245.925 * * [simplify]: Extracting #5: cost 250 inf + 699
245.928 * * [simplify]: Extracting #6: cost 136 inf + 24260
245.947 * * [simplify]: Extracting #7: cost 14 inf + 58914
245.962 * * [simplify]: Extracting #8: cost 0 inf + 62514
245.978 * * [simplify]: Extracting #9: cost 0 inf + 62474
246.005 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2)))))
246.005 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))))))))
246.006 * * * * [progress]: [ 264 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
246.006 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
246.007 * * [simplify]: iters left: 6 (52 enodes)
246.027 * * [simplify]: iters left: 5 (256 enodes)
246.118 * * [simplify]: Extracting #0: cost 1 inf + 0
246.118 * * [simplify]: Extracting #1: cost 3 inf + 0
246.118 * * [simplify]: Extracting #2: cost 10 inf + 0
246.118 * * [simplify]: Extracting #3: cost 74 inf + 0
246.119 * * [simplify]: Extracting #4: cost 137 inf + 1
246.120 * * [simplify]: Extracting #5: cost 186 inf + 248
246.122 * * [simplify]: Extracting #6: cost 253 inf + 2497
246.124 * * [simplify]: Extracting #7: cost 208 inf + 12681
246.129 * * [simplify]: Extracting #8: cost 145 inf + 31540
246.137 * * [simplify]: Extracting #9: cost 85 inf + 54431
246.149 * * [simplify]: Extracting #10: cost 49 inf + 70639
246.189 * * [simplify]: Extracting #11: cost 11 inf + 105509
246.235 * * [simplify]: Extracting #12: cost 1 inf + 117239
246.266 * * [simplify]: Extracting #13: cost 0 inf + 119304
246.305 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))
246.305 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
246.306 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
246.306 * * [simplify]: iters left: 6 (24 enodes)
246.318 * * [simplify]: iters left: 5 (111 enodes)
246.348 * * [simplify]: iters left: 4 (285 enodes)
246.470 * * [simplify]: Extracting #0: cost 1 inf + 0
246.471 * * [simplify]: Extracting #1: cost 3 inf + 0
246.471 * * [simplify]: Extracting #2: cost 33 inf + 0
246.471 * * [simplify]: Extracting #3: cost 143 inf + 0
246.473 * * [simplify]: Extracting #4: cost 229 inf + 168
246.481 * * [simplify]: Extracting #5: cost 237 inf + 20834
246.516 * * [simplify]: Extracting #6: cost 36 inf + 92716
246.547 * * [simplify]: Extracting #7: cost 0 inf + 100496
246.587 * * [simplify]: Extracting #8: cost 0 inf + 99496
246.613 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))
246.613 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))))
246.614 * * * * [progress]: [ 265 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
246.615 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
246.615 * * [simplify]: iters left: 6 (47 enodes)
246.640 * * [simplify]: iters left: 5 (228 enodes)
246.703 * * [simplify]: Extracting #0: cost 1 inf + 0
246.703 * * [simplify]: Extracting #1: cost 3 inf + 0
246.703 * * [simplify]: Extracting #2: cost 10 inf + 0
246.703 * * [simplify]: Extracting #3: cost 65 inf + 0
246.703 * * [simplify]: Extracting #4: cost 117 inf + 44
246.704 * * [simplify]: Extracting #5: cost 154 inf + 618
246.705 * * [simplify]: Extracting #6: cost 224 inf + 2814
246.707 * * [simplify]: Extracting #7: cost 213 inf + 5096
246.714 * * [simplify]: Extracting #8: cost 137 inf + 22923
246.732 * * [simplify]: Extracting #9: cost 59 inf + 53200
246.759 * * [simplify]: Extracting #10: cost 7 inf + 92183
246.782 * * [simplify]: Extracting #11: cost 1 inf + 97158
246.821 * * [simplify]: Extracting #12: cost 0 inf + 98983
246.851 * * [simplify]: Extracting #13: cost 0 inf + 98823
246.873 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))
246.873 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
246.875 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
246.875 * * [simplify]: iters left: 6 (20 enodes)
246.885 * * [simplify]: iters left: 5 (93 enodes)
246.913 * * [simplify]: iters left: 4 (229 enodes)
246.987 * * [simplify]: Extracting #0: cost 1 inf + 0
246.987 * * [simplify]: Extracting #1: cost 3 inf + 0
246.987 * * [simplify]: Extracting #2: cost 23 inf + 0
246.987 * * [simplify]: Extracting #3: cost 69 inf + 0
246.988 * * [simplify]: Extracting #4: cost 129 inf + 2
246.989 * * [simplify]: Extracting #5: cost 250 inf + 699
246.993 * * [simplify]: Extracting #6: cost 136 inf + 24260
247.011 * * [simplify]: Extracting #7: cost 14 inf + 58914
247.033 * * [simplify]: Extracting #8: cost 0 inf + 62514
247.047 * * [simplify]: Extracting #9: cost 0 inf + 62474
247.073 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2)))))
247.073 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))))))))
247.074 * * * * [progress]: [ 266 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
247.075 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
247.075 * * [simplify]: iters left: 6 (45 enodes)
247.098 * * [simplify]: iters left: 5 (213 enodes)
247.165 * * [simplify]: Extracting #0: cost 1 inf + 0
247.165 * * [simplify]: Extracting #1: cost 3 inf + 0
247.165 * * [simplify]: Extracting #2: cost 6 inf + 0
247.165 * * [simplify]: Extracting #3: cost 48 inf + 0
247.165 * * [simplify]: Extracting #4: cost 112 inf + 0
247.166 * * [simplify]: Extracting #5: cost 179 inf + 0
247.167 * * [simplify]: Extracting #6: cost 246 inf + 127
247.170 * * [simplify]: Extracting #7: cost 226 inf + 7504
247.175 * * [simplify]: Extracting #8: cost 147 inf + 19826
247.187 * * [simplify]: Extracting #9: cost 76 inf + 42519
247.211 * * [simplify]: Extracting #10: cost 27 inf + 74298
247.246 * * [simplify]: Extracting #11: cost 7 inf + 91514
247.288 * * [simplify]: Extracting #12: cost 0 inf + 98609
247.329 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))
247.329 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
247.331 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
247.331 * * [simplify]: iters left: 6 (22 enodes)
247.342 * * [simplify]: iters left: 5 (99 enodes)
247.362 * * [simplify]: iters left: 4 (309 enodes)
247.593 * * [simplify]: Extracting #0: cost 1 inf + 0
247.594 * * [simplify]: Extracting #1: cost 3 inf + 0
247.594 * * [simplify]: Extracting #2: cost 36 inf + 0
247.594 * * [simplify]: Extracting #3: cost 262 inf + 0
247.596 * * [simplify]: Extracting #4: cost 430 inf + 692
247.599 * * [simplify]: Extracting #5: cost 438 inf + 12587
247.634 * * [simplify]: Extracting #6: cost 173 inf + 121220
247.705 * * [simplify]: Extracting #7: cost 4 inf + 193441
247.765 * * [simplify]: Extracting #8: cost 0 inf + 190415
247.819 * * [simplify]: Extracting #9: cost 0 inf + 190295
247.894 * [simplify]: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))))
247.894 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))))))
247.895 * * * * [progress]: [ 267 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
247.895 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
247.896 * * [simplify]: iters left: 6 (46 enodes)
247.909 * * [simplify]: iters left: 5 (222 enodes)
247.997 * * [simplify]: Extracting #0: cost 1 inf + 0
247.997 * * [simplify]: Extracting #1: cost 3 inf + 0
247.997 * * [simplify]: Extracting #2: cost 6 inf + 0
247.997 * * [simplify]: Extracting #3: cost 52 inf + 0
247.998 * * [simplify]: Extracting #4: cost 135 inf + 0
247.999 * * [simplify]: Extracting #5: cost 192 inf + 126
248.004 * * [simplify]: Extracting #6: cost 231 inf + 6099
248.008 * * [simplify]: Extracting #7: cost 192 inf + 14765
248.016 * * [simplify]: Extracting #8: cost 119 inf + 31587
248.033 * * [simplify]: Extracting #9: cost 48 inf + 58662
248.063 * * [simplify]: Extracting #10: cost 6 inf + 94356
248.089 * * [simplify]: Extracting #11: cost 0 inf + 102706
248.114 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))))
248.114 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
248.115 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
248.115 * * [simplify]: iters left: 6 (23 enodes)
248.127 * * [simplify]: iters left: 5 (103 enodes)
248.165 * * [simplify]: iters left: 4 (306 enodes)
248.340 * * [simplify]: Extracting #0: cost 1 inf + 0
248.340 * * [simplify]: Extracting #1: cost 3 inf + 0
248.341 * * [simplify]: Extracting #2: cost 62 inf + 0
248.342 * * [simplify]: Extracting #3: cost 271 inf + 0
248.345 * * [simplify]: Extracting #4: cost 362 inf + 332
248.353 * * [simplify]: Extracting #5: cost 398 inf + 7534
248.396 * * [simplify]: Extracting #6: cost 182 inf + 98385
248.484 * * [simplify]: Extracting #7: cost 9 inf + 167360
248.576 * * [simplify]: Extracting #8: cost 0 inf + 166030
248.661 * * [simplify]: Extracting #9: cost 0 inf + 165790
248.736 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))))
248.736 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))))))
248.736 * * * * [progress]: [ 268 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
248.737 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
248.737 * * [simplify]: iters left: 6 (46 enodes)
248.749 * * [simplify]: iters left: 5 (222 enodes)
248.849 * * [simplify]: Extracting #0: cost 1 inf + 0
248.849 * * [simplify]: Extracting #1: cost 3 inf + 0
248.849 * * [simplify]: Extracting #2: cost 6 inf + 0
248.849 * * [simplify]: Extracting #3: cost 54 inf + 0
248.850 * * [simplify]: Extracting #4: cost 133 inf + 0
248.850 * * [simplify]: Extracting #5: cost 188 inf + 126
248.852 * * [simplify]: Extracting #6: cost 228 inf + 4283
248.856 * * [simplify]: Extracting #7: cost 196 inf + 12861
248.864 * * [simplify]: Extracting #8: cost 132 inf + 26550
248.880 * * [simplify]: Extracting #9: cost 68 inf + 48249
248.902 * * [simplify]: Extracting #10: cost 20 inf + 83639
248.924 * * [simplify]: Extracting #11: cost 0 inf + 100658
248.964 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))))
248.964 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
248.966 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
248.966 * * [simplify]: iters left: 6 (23 enodes)
248.977 * * [simplify]: iters left: 5 (103 enodes)
249.010 * * [simplify]: iters left: 4 (304 enodes)
249.201 * * [simplify]: Extracting #0: cost 1 inf + 0
249.201 * * [simplify]: Extracting #1: cost 3 inf + 0
249.201 * * [simplify]: Extracting #2: cost 54 inf + 0
249.202 * * [simplify]: Extracting #3: cost 256 inf + 0
249.203 * * [simplify]: Extracting #4: cost 335 inf + 332
249.206 * * [simplify]: Extracting #5: cost 356 inf + 9405
249.221 * * [simplify]: Extracting #6: cost 193 inf + 77409
249.282 * * [simplify]: Extracting #7: cost 3 inf + 156445
249.344 * * [simplify]: Extracting #8: cost 0 inf + 150175
249.421 * * [simplify]: Extracting #9: cost 0 inf + 150135
249.498 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))
249.498 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))))))))
249.499 * * * * [progress]: [ 269 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
249.500 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
249.500 * * [simplify]: iters left: 6 (40 enodes)
249.518 * * [simplify]: iters left: 5 (186 enodes)
249.556 * * [simplify]: Extracting #0: cost 1 inf + 0
249.556 * * [simplify]: Extracting #1: cost 3 inf + 0
249.556 * * [simplify]: Extracting #2: cost 6 inf + 0
249.556 * * [simplify]: Extracting #3: cost 46 inf + 0
249.556 * * [simplify]: Extracting #4: cost 101 inf + 0
249.556 * * [simplify]: Extracting #5: cost 137 inf + 44
249.557 * * [simplify]: Extracting #6: cost 181 inf + 1802
249.558 * * [simplify]: Extracting #7: cost 179 inf + 3185
249.562 * * [simplify]: Extracting #8: cost 105 inf + 21396
249.579 * * [simplify]: Extracting #9: cost 33 inf + 53129
249.609 * * [simplify]: Extracting #10: cost 7 inf + 73368
249.640 * * [simplify]: Extracting #11: cost 0 inf + 78077
249.670 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))))
249.670 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
249.671 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))
249.671 * * [simplify]: iters left: 6 (18 enodes)
249.680 * * [simplify]: iters left: 5 (81 enodes)
249.711 * * [simplify]: iters left: 4 (234 enodes)
249.840 * * [simplify]: Extracting #0: cost 1 inf + 0
249.840 * * [simplify]: Extracting #1: cost 3 inf + 0
249.840 * * [simplify]: Extracting #2: cost 29 inf + 0
249.840 * * [simplify]: Extracting #3: cost 131 inf + 0
249.841 * * [simplify]: Extracting #4: cost 186 inf + 84
249.842 * * [simplify]: Extracting #5: cost 255 inf + 1346
249.847 * * [simplify]: Extracting #6: cost 147 inf + 32720
249.875 * * [simplify]: Extracting #7: cost 8 inf + 78669
249.905 * * [simplify]: Extracting #8: cost 0 inf + 77453
249.927 * * [simplify]: Extracting #9: cost 0 inf + 76933
249.968 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))))
249.969 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))))))
249.970 * * * * [progress]: [ 270 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
249.970 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
249.971 * * [simplify]: iters left: 6 (45 enodes)
249.994 * * [simplify]: iters left: 5 (215 enodes)
250.064 * * [simplify]: Extracting #0: cost 1 inf + 0
250.065 * * [simplify]: Extracting #1: cost 3 inf + 0
250.065 * * [simplify]: Extracting #2: cost 10 inf + 0
250.065 * * [simplify]: Extracting #3: cost 62 inf + 0
250.065 * * [simplify]: Extracting #4: cost 116 inf + 1
250.065 * * [simplify]: Extracting #5: cost 155 inf + 289
250.066 * * [simplify]: Extracting #6: cost 214 inf + 1238
250.068 * * [simplify]: Extracting #7: cost 183 inf + 10352
250.071 * * [simplify]: Extracting #8: cost 133 inf + 22438
250.087 * * [simplify]: Extracting #9: cost 40 inf + 56015
250.118 * * [simplify]: Extracting #10: cost 3 inf + 88498
250.155 * * [simplify]: Extracting #11: cost 0 inf + 91173
250.184 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))))
250.184 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
250.185 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
250.185 * * [simplify]: iters left: 6 (21 enodes)
250.190 * * [simplify]: iters left: 5 (94 enodes)
250.216 * * [simplify]: iters left: 4 (245 enodes)
250.360 * * [simplify]: Extracting #0: cost 1 inf + 0
250.361 * * [simplify]: Extracting #1: cost 3 inf + 0
250.361 * * [simplify]: Extracting #2: cost 27 inf + 0
250.361 * * [simplify]: Extracting #3: cost 110 inf + 0
250.362 * * [simplify]: Extracting #4: cost 171 inf + 938
250.363 * * [simplify]: Extracting #5: cost 244 inf + 1270
250.367 * * [simplify]: Extracting #6: cost 177 inf + 19696
250.382 * * [simplify]: Extracting #7: cost 39 inf + 67439
250.431 * * [simplify]: Extracting #8: cost 2 inf + 84041
250.476 * * [simplify]: Extracting #9: cost 0 inf + 80127
250.500 * * [simplify]: Extracting #10: cost 0 inf + 79967
250.523 * [simplify]: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))
250.523 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))) (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))
250.524 * * * * [progress]: [ 271 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
250.524 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
250.524 * * [simplify]: iters left: 6 (40 enodes)
250.536 * * [simplify]: iters left: 5 (187 enodes)
250.573 * * [simplify]: iters left: 4 (483 enodes)
250.782 * * [simplify]: Extracting #0: cost 1 inf + 0
250.782 * * [simplify]: Extracting #1: cost 3 inf + 0
250.782 * * [simplify]: Extracting #2: cost 13 inf + 0
250.782 * * [simplify]: Extracting #3: cost 111 inf + 0
250.783 * * [simplify]: Extracting #4: cost 243 inf + 85
250.784 * * [simplify]: Extracting #5: cost 347 inf + 2367
250.787 * * [simplify]: Extracting #6: cost 461 inf + 6228
250.791 * * [simplify]: Extracting #7: cost 555 inf + 12721
250.806 * * [simplify]: Extracting #8: cost 322 inf + 80466
250.848 * * [simplify]: Extracting #9: cost 94 inf + 188276
250.953 * * [simplify]: Extracting #10: cost 11 inf + 243333
251.018 * * [simplify]: Extracting #11: cost 0 inf + 250008
251.092 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))
251.093 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
251.094 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
251.094 * * [simplify]: iters left: 6 (17 enodes)
251.102 * * [simplify]: iters left: 5 (76 enodes)
251.130 * * [simplify]: iters left: 4 (188 enodes)
251.226 * * [simplify]: Extracting #0: cost 1 inf + 0
251.227 * * [simplify]: Extracting #1: cost 3 inf + 0
251.227 * * [simplify]: Extracting #2: cost 17 inf + 0
251.227 * * [simplify]: Extracting #3: cost 49 inf + 0
251.228 * * [simplify]: Extracting #4: cost 86 inf + 44
251.229 * * [simplify]: Extracting #5: cost 165 inf + 86
251.231 * * [simplify]: Extracting #6: cost 146 inf + 4299
251.244 * * [simplify]: Extracting #7: cost 36 inf + 32354
251.266 * * [simplify]: Extracting #8: cost 1 inf + 40677
251.289 * * [simplify]: Extracting #9: cost 0 inf + 39759
251.313 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))
251.313 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ phi1 phi2) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))))
251.314 * * * * [progress]: [ 272 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
251.315 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
251.315 * * [simplify]: iters left: 6 (45 enodes)
251.331 * * [simplify]: iters left: 5 (215 enodes)
251.383 * * [simplify]: Extracting #0: cost 1 inf + 0
251.383 * * [simplify]: Extracting #1: cost 3 inf + 0
251.383 * * [simplify]: Extracting #2: cost 10 inf + 0
251.383 * * [simplify]: Extracting #3: cost 62 inf + 0
251.384 * * [simplify]: Extracting #4: cost 116 inf + 1
251.384 * * [simplify]: Extracting #5: cost 155 inf + 289
251.386 * * [simplify]: Extracting #6: cost 210 inf + 2188
251.389 * * [simplify]: Extracting #7: cost 188 inf + 8590
251.395 * * [simplify]: Extracting #8: cost 126 inf + 24589
251.414 * * [simplify]: Extracting #9: cost 38 inf + 58044
251.432 * * [simplify]: Extracting #10: cost 3 inf + 89298
251.451 * * [simplify]: Extracting #11: cost 0 inf + 91973
251.473 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))))
251.473 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
251.474 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
251.474 * * [simplify]: iters left: 6 (21 enodes)
251.479 * * [simplify]: iters left: 5 (94 enodes)
251.500 * * [simplify]: iters left: 4 (245 enodes)
251.614 * * [simplify]: Extracting #0: cost 1 inf + 0
251.614 * * [simplify]: Extracting #1: cost 3 inf + 0
251.614 * * [simplify]: Extracting #2: cost 27 inf + 0
251.615 * * [simplify]: Extracting #3: cost 110 inf + 0
251.616 * * [simplify]: Extracting #4: cost 171 inf + 938
251.618 * * [simplify]: Extracting #5: cost 244 inf + 1270
251.621 * * [simplify]: Extracting #6: cost 177 inf + 19696
251.637 * * [simplify]: Extracting #7: cost 39 inf + 67439
251.672 * * [simplify]: Extracting #8: cost 2 inf + 84041
251.716 * * [simplify]: Extracting #9: cost 0 inf + 80127
251.762 * * [simplify]: Extracting #10: cost 0 inf + 79967
251.808 * [simplify]: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))
251.808 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))) (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))
251.810 * * * * [progress]: [ 273 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
251.810 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
251.811 * * [simplify]: iters left: 6 (40 enodes)
251.832 * * [simplify]: iters left: 5 (187 enodes)
251.879 * * [simplify]: iters left: 4 (483 enodes)
252.126 * * [simplify]: Extracting #0: cost 1 inf + 0
252.126 * * [simplify]: Extracting #1: cost 3 inf + 0
252.126 * * [simplify]: Extracting #2: cost 13 inf + 0
252.126 * * [simplify]: Extracting #3: cost 108 inf + 0
252.127 * * [simplify]: Extracting #4: cost 252 inf + 44
252.129 * * [simplify]: Extracting #5: cost 352 inf + 2649
252.132 * * [simplify]: Extracting #6: cost 469 inf + 5742
252.139 * * [simplify]: Extracting #7: cost 517 inf + 31110
252.172 * * [simplify]: Extracting #8: cost 311 inf + 103715
252.231 * * [simplify]: Extracting #9: cost 217 inf + 136325
252.288 * * [simplify]: Extracting #10: cost 46 inf + 219572
252.380 * * [simplify]: Extracting #11: cost 1 inf + 252841
252.452 * * [simplify]: Extracting #12: cost 0 inf + 253826
252.524 * * [simplify]: Extracting #13: cost 0 inf + 253786
252.634 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))
252.635 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
252.636 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
252.636 * * [simplify]: iters left: 6 (17 enodes)
252.644 * * [simplify]: iters left: 5 (76 enodes)
252.672 * * [simplify]: iters left: 4 (188 enodes)
252.737 * * [simplify]: Extracting #0: cost 1 inf + 0
252.737 * * [simplify]: Extracting #1: cost 3 inf + 0
252.737 * * [simplify]: Extracting #2: cost 17 inf + 0
252.737 * * [simplify]: Extracting #3: cost 49 inf + 0
252.738 * * [simplify]: Extracting #4: cost 86 inf + 44
252.738 * * [simplify]: Extracting #5: cost 165 inf + 86
252.743 * * [simplify]: Extracting #6: cost 146 inf + 4299
252.756 * * [simplify]: Extracting #7: cost 36 inf + 32354
252.777 * * [simplify]: Extracting #8: cost 1 inf + 40677
252.799 * * [simplify]: Extracting #9: cost 0 inf + 39759
252.820 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))
252.820 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (+ phi1 phi2) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))))
252.821 * * * * [progress]: [ 274 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
252.821 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
252.822 * * [simplify]: iters left: 6 (52 enodes)
252.848 * * [simplify]: iters left: 5 (254 enodes)
252.937 * * [simplify]: Extracting #0: cost 1 inf + 0
252.937 * * [simplify]: Extracting #1: cost 3 inf + 0
252.937 * * [simplify]: Extracting #2: cost 6 inf + 0
252.937 * * [simplify]: Extracting #3: cost 56 inf + 0
252.937 * * [simplify]: Extracting #4: cost 130 inf + 0
252.938 * * [simplify]: Extracting #5: cost 215 inf + 0
252.939 * * [simplify]: Extracting #6: cost 312 inf + 510
252.940 * * [simplify]: Extracting #7: cost 267 inf + 10958
252.944 * * [simplify]: Extracting #8: cost 173 inf + 28496
252.951 * * [simplify]: Extracting #9: cost 119 inf + 42331
252.971 * * [simplify]: Extracting #10: cost 64 inf + 65849
253.006 * * [simplify]: Extracting #11: cost 17 inf + 110443
253.032 * * [simplify]: Extracting #12: cost 1 inf + 129860
253.060 * * [simplify]: Extracting #13: cost 0 inf + 131885
253.110 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))))
253.110 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
253.113 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
253.114 * * [simplify]: iters left: 6 (25 enodes)
253.125 * * [simplify]: iters left: 5 (117 enodes)
253.781 * * [simplify]: iters left: 4 (379 enodes)
254.049 * * [simplify]: Extracting #0: cost 1 inf + 0
254.049 * * [simplify]: Extracting #1: cost 3 inf + 0
254.049 * * [simplify]: Extracting #2: cost 45 inf + 0
254.050 * * [simplify]: Extracting #3: cost 302 inf + 0
254.053 * * [simplify]: Extracting #4: cost 498 inf + 126
254.066 * * [simplify]: Extracting #5: cost 502 inf + 12022
254.088 * * [simplify]: Extracting #6: cost 323 inf + 64092
254.125 * * [simplify]: Extracting #7: cost 136 inf + 146021
254.209 * * [simplify]: Extracting #8: cost 1 inf + 230891
254.311 * * [simplify]: Extracting #9: cost 0 inf + 231655
254.382 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))
254.382 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))))
254.383 * * * * [progress]: [ 275 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
254.384 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
254.384 * * [simplify]: iters left: 6 (53 enodes)
254.414 * * [simplify]: iters left: 5 (263 enodes)
254.500 * * [simplify]: Extracting #0: cost 1 inf + 0
254.500 * * [simplify]: Extracting #1: cost 3 inf + 0
254.500 * * [simplify]: Extracting #2: cost 6 inf + 0
254.500 * * [simplify]: Extracting #3: cost 60 inf + 0
254.501 * * [simplify]: Extracting #4: cost 153 inf + 0
254.502 * * [simplify]: Extracting #5: cost 228 inf + 85
254.505 * * [simplify]: Extracting #6: cost 287 inf + 4682
254.510 * * [simplify]: Extracting #7: cost 259 inf + 11925
254.519 * * [simplify]: Extracting #8: cost 163 inf + 32356
254.537 * * [simplify]: Extracting #9: cost 86 inf + 56349
254.565 * * [simplify]: Extracting #10: cost 50 inf + 81653
254.611 * * [simplify]: Extracting #11: cost 2 inf + 131972
254.657 * * [simplify]: Extracting #12: cost 0 inf + 135302
254.685 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
254.685 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
254.686 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
254.686 * * [simplify]: iters left: 6 (26 enodes)
254.692 * * [simplify]: iters left: 5 (121 enodes)
254.739 * * [simplify]: iters left: 4 (376 enodes)
254.923 * * [simplify]: Extracting #0: cost 1 inf + 0
254.923 * * [simplify]: Extracting #1: cost 3 inf + 0
254.923 * * [simplify]: Extracting #2: cost 70 inf + 0
254.924 * * [simplify]: Extracting #3: cost 327 inf + 0
254.927 * * [simplify]: Extracting #4: cost 458 inf + 85
254.933 * * [simplify]: Extracting #5: cost 502 inf + 3380
254.972 * * [simplify]: Extracting #6: cost 253 inf + 110372
255.072 * * [simplify]: Extracting #7: cost 15 inf + 223373
255.151 * * [simplify]: Extracting #8: cost 0 inf + 217446
255.215 * * [simplify]: Extracting #9: cost 0 inf + 217206
255.285 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))))
255.285 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)))))))
255.286 * * * * [progress]: [ 276 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
255.287 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
255.288 * * [simplify]: iters left: 6 (53 enodes)
255.314 * * [simplify]: iters left: 5 (263 enodes)
255.399 * * [simplify]: Extracting #0: cost 1 inf + 0
255.400 * * [simplify]: Extracting #1: cost 3 inf + 0
255.400 * * [simplify]: Extracting #2: cost 6 inf + 0
255.400 * * [simplify]: Extracting #3: cost 62 inf + 0
255.400 * * [simplify]: Extracting #4: cost 151 inf + 0
255.401 * * [simplify]: Extracting #5: cost 225 inf + 44
255.404 * * [simplify]: Extracting #6: cost 290 inf + 3631
255.410 * * [simplify]: Extracting #7: cost 255 inf + 12808
255.422 * * [simplify]: Extracting #8: cost 168 inf + 30598
255.438 * * [simplify]: Extracting #9: cost 93 inf + 53450
255.461 * * [simplify]: Extracting #10: cost 65 inf + 68114
255.504 * * [simplify]: Extracting #11: cost 10 inf + 120644
255.538 * * [simplify]: Extracting #12: cost 0 inf + 132974
255.584 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
255.584 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
255.585 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
255.585 * * [simplify]: iters left: 6 (26 enodes)
255.591 * * [simplify]: iters left: 5 (121 enodes)
255.620 * * [simplify]: iters left: 4 (374 enodes)
255.870 * * [simplify]: Extracting #0: cost 1 inf + 0
255.870 * * [simplify]: Extracting #1: cost 3 inf + 0
255.870 * * [simplify]: Extracting #2: cost 62 inf + 0
255.871 * * [simplify]: Extracting #3: cost 305 inf + 0
255.873 * * [simplify]: Extracting #4: cost 419 inf + 126
255.875 * * [simplify]: Extracting #5: cost 451 inf + 5966
255.901 * * [simplify]: Extracting #6: cost 234 inf + 90016
255.956 * * [simplify]: Extracting #7: cost 5 inf + 204928
256.015 * * [simplify]: Extracting #8: cost 0 inf + 194062
256.098 * * [simplify]: Extracting #9: cost 0 inf + 193902
256.170 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
256.170 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
256.171 * * * * [progress]: [ 277 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
256.172 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
256.172 * * [simplify]: iters left: 6 (47 enodes)
256.185 * * [simplify]: iters left: 5 (227 enodes)
256.270 * * [simplify]: Extracting #0: cost 1 inf + 0
256.270 * * [simplify]: Extracting #1: cost 3 inf + 0
256.270 * * [simplify]: Extracting #2: cost 6 inf + 0
256.270 * * [simplify]: Extracting #3: cost 54 inf + 0
256.270 * * [simplify]: Extracting #4: cost 119 inf + 0
256.272 * * [simplify]: Extracting #5: cost 173 inf + 44
256.273 * * [simplify]: Extracting #6: cost 253 inf + 1394
256.276 * * [simplify]: Extracting #7: cost 238 inf + 3960
256.285 * * [simplify]: Extracting #8: cost 141 inf + 24724
256.301 * * [simplify]: Extracting #9: cost 73 inf + 49423
256.328 * * [simplify]: Extracting #10: cost 24 inf + 83889
256.351 * * [simplify]: Extracting #11: cost 3 inf + 106438
256.388 * * [simplify]: Extracting #12: cost 0 inf + 110593
256.423 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))))))
256.423 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
256.424 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))
256.424 * * [simplify]: iters left: 6 (21 enodes)
256.429 * * [simplify]: iters left: 5 (99 enodes)
256.454 * * [simplify]: iters left: 4 (304 enodes)
256.659 * * [simplify]: Extracting #0: cost 1 inf + 0
256.659 * * [simplify]: Extracting #1: cost 3 inf + 0
256.659 * * [simplify]: Extracting #2: cost 35 inf + 0
256.660 * * [simplify]: Extracting #3: cost 156 inf + 0
256.661 * * [simplify]: Extracting #4: cost 242 inf + 85
256.664 * * [simplify]: Extracting #5: cost 307 inf + 1024
256.668 * * [simplify]: Extracting #6: cost 272 inf + 4967
256.679 * * [simplify]: Extracting #7: cost 178 inf + 28964
256.718 * * [simplify]: Extracting #8: cost 27 inf + 85473
256.766 * * [simplify]: Extracting #9: cost 0 inf + 98481
256.797 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
256.797 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
256.798 * * * * [progress]: [ 278 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
256.798 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
256.798 * * [simplify]: iters left: 6 (52 enodes)
256.813 * * [simplify]: iters left: 5 (255 enodes)
256.919 * * [simplify]: Extracting #0: cost 1 inf + 0
256.919 * * [simplify]: Extracting #1: cost 3 inf + 0
256.919 * * [simplify]: Extracting #2: cost 10 inf + 0
256.920 * * [simplify]: Extracting #3: cost 74 inf + 0
256.920 * * [simplify]: Extracting #4: cost 137 inf + 1
256.921 * * [simplify]: Extracting #5: cost 195 inf + 207
256.923 * * [simplify]: Extracting #6: cost 274 inf + 2967
256.927 * * [simplify]: Extracting #7: cost 253 inf + 8135
256.937 * * [simplify]: Extracting #8: cost 178 inf + 22106
256.945 * * [simplify]: Extracting #9: cost 119 inf + 39551
256.956 * * [simplify]: Extracting #10: cost 58 inf + 67497
256.970 * * [simplify]: Extracting #11: cost 34 inf + 83594
257.010 * * [simplify]: Extracting #12: cost 5 inf + 115959
257.057 * * [simplify]: Extracting #13: cost 1 inf + 121099
257.084 * * [simplify]: Extracting #14: cost 0 inf + 123124
257.118 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))
257.118 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
257.118 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
257.119 * * [simplify]: iters left: 6 (24 enodes)
257.124 * * [simplify]: iters left: 5 (112 enodes)
257.146 * * [simplify]: iters left: 4 (321 enodes)
257.311 * * [simplify]: Extracting #0: cost 1 inf + 0
257.311 * * [simplify]: Extracting #1: cost 3 inf + 0
257.311 * * [simplify]: Extracting #2: cost 33 inf + 0
257.312 * * [simplify]: Extracting #3: cost 143 inf + 0
257.314 * * [simplify]: Extracting #4: cost 248 inf + 412
257.317 * * [simplify]: Extracting #5: cost 315 inf + 1188
257.327 * * [simplify]: Extracting #6: cost 223 inf + 26124
257.370 * * [simplify]: Extracting #7: cost 32 inf + 106320
257.407 * * [simplify]: Extracting #8: cost 0 inf + 114581
257.443 * * [simplify]: Extracting #9: cost 0 inf + 111221
257.493 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))
257.493 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))))
257.495 * * * * [progress]: [ 279 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
257.495 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
257.496 * * [simplify]: iters left: 6 (47 enodes)
257.520 * * [simplify]: iters left: 5 (227 enodes)
257.606 * * [simplify]: Extracting #0: cost 1 inf + 0
257.607 * * [simplify]: Extracting #1: cost 3 inf + 0
257.607 * * [simplify]: Extracting #2: cost 10 inf + 0
257.607 * * [simplify]: Extracting #3: cost 66 inf + 0
257.607 * * [simplify]: Extracting #4: cost 117 inf + 44
257.608 * * [simplify]: Extracting #5: cost 158 inf + 1186
257.611 * * [simplify]: Extracting #6: cost 241 inf + 2972
257.613 * * [simplify]: Extracting #7: cost 239 inf + 3632
257.621 * * [simplify]: Extracting #8: cost 147 inf + 24051
257.639 * * [simplify]: Extracting #9: cost 63 inf + 55547
257.671 * * [simplify]: Extracting #10: cost 10 inf + 93016
257.699 * * [simplify]: Extracting #11: cost 1 inf + 101658
257.737 * * [simplify]: Extracting #12: cost 0 inf + 103443
257.766 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
257.766 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
257.767 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))
257.767 * * [simplify]: iters left: 6 (20 enodes)
257.772 * * [simplify]: iters left: 5 (94 enodes)
257.793 * * [simplify]: iters left: 4 (264 enodes)
257.904 * * [simplify]: Extracting #0: cost 1 inf + 0
257.904 * * [simplify]: Extracting #1: cost 3 inf + 0
257.904 * * [simplify]: Extracting #2: cost 23 inf + 0
257.905 * * [simplify]: Extracting #3: cost 69 inf + 0
257.906 * * [simplify]: Extracting #4: cost 140 inf + 2
257.907 * * [simplify]: Extracting #5: cost 215 inf + 44
257.914 * * [simplify]: Extracting #6: cost 128 inf + 18624
257.928 * * [simplify]: Extracting #7: cost 5 inf + 58603
257.945 * * [simplify]: Extracting #8: cost 0 inf + 56416
257.975 * * [simplify]: Extracting #9: cost 0 inf + 56056
258.005 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))
258.005 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))))
258.006 * * * * [progress]: [ 280 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
258.006 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
258.007 * * [simplify]: iters left: 6 (52 enodes)
258.028 * * [simplify]: iters left: 5 (255 enodes)
258.102 * * [simplify]: Extracting #0: cost 1 inf + 0
258.102 * * [simplify]: Extracting #1: cost 3 inf + 0
258.102 * * [simplify]: Extracting #2: cost 10 inf + 0
258.103 * * [simplify]: Extracting #3: cost 74 inf + 0
258.103 * * [simplify]: Extracting #4: cost 137 inf + 1
258.104 * * [simplify]: Extracting #5: cost 195 inf + 207
258.106 * * [simplify]: Extracting #6: cost 269 inf + 3494
258.110 * * [simplify]: Extracting #7: cost 251 inf + 9340
258.116 * * [simplify]: Extracting #8: cost 177 inf + 22951
258.128 * * [simplify]: Extracting #9: cost 120 inf + 38947
258.153 * * [simplify]: Extracting #10: cost 57 inf + 68402
258.179 * * [simplify]: Extracting #11: cost 35 inf + 83649
258.202 * * [simplify]: Extracting #12: cost 5 inf + 116759
258.241 * * [simplify]: Extracting #13: cost 1 inf + 121899
258.279 * * [simplify]: Extracting #14: cost 0 inf + 123924
258.307 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))
258.307 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
258.307 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
258.308 * * [simplify]: iters left: 6 (24 enodes)
258.313 * * [simplify]: iters left: 5 (112 enodes)
258.346 * * [simplify]: iters left: 4 (321 enodes)
258.469 * * [simplify]: Extracting #0: cost 1 inf + 0
258.469 * * [simplify]: Extracting #1: cost 3 inf + 0
258.469 * * [simplify]: Extracting #2: cost 33 inf + 0
258.469 * * [simplify]: Extracting #3: cost 143 inf + 0
258.470 * * [simplify]: Extracting #4: cost 248 inf + 412
258.472 * * [simplify]: Extracting #5: cost 315 inf + 1188
258.477 * * [simplify]: Extracting #6: cost 223 inf + 26124
258.500 * * [simplify]: Extracting #7: cost 32 inf + 106320
258.530 * * [simplify]: Extracting #8: cost 0 inf + 114581
258.562 * * [simplify]: Extracting #9: cost 0 inf + 111221
258.596 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))
258.597 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))))
258.597 * * * * [progress]: [ 281 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
258.598 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
258.598 * * [simplify]: iters left: 6 (47 enodes)
258.610 * * [simplify]: iters left: 5 (227 enodes)
258.668 * * [simplify]: Extracting #0: cost 1 inf + 0
258.668 * * [simplify]: Extracting #1: cost 3 inf + 0
258.668 * * [simplify]: Extracting #2: cost 10 inf + 0
258.668 * * [simplify]: Extracting #3: cost 65 inf + 0
258.668 * * [simplify]: Extracting #4: cost 116 inf + 86
258.669 * * [simplify]: Extracting #5: cost 152 inf + 1958
258.670 * * [simplify]: Extracting #6: cost 241 inf + 2932
258.671 * * [simplify]: Extracting #7: cost 238 inf + 3754
258.675 * * [simplify]: Extracting #8: cost 140 inf + 25328
258.684 * * [simplify]: Extracting #9: cost 65 inf + 54519
258.701 * * [simplify]: Extracting #10: cost 12 inf + 92992
258.734 * * [simplify]: Extracting #11: cost 1 inf + 102058
258.760 * * [simplify]: Extracting #12: cost 0 inf + 103843
258.792 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
258.792 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
258.793 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))
258.794 * * [simplify]: iters left: 6 (20 enodes)
258.799 * * [simplify]: iters left: 5 (94 enodes)
258.816 * * [simplify]: iters left: 4 (264 enodes)
258.914 * * [simplify]: Extracting #0: cost 1 inf + 0
258.915 * * [simplify]: Extracting #1: cost 3 inf + 0
258.915 * * [simplify]: Extracting #2: cost 23 inf + 0
258.915 * * [simplify]: Extracting #3: cost 69 inf + 0
258.916 * * [simplify]: Extracting #4: cost 140 inf + 2
258.917 * * [simplify]: Extracting #5: cost 215 inf + 44
258.928 * * [simplify]: Extracting #6: cost 128 inf + 18624
258.955 * * [simplify]: Extracting #7: cost 5 inf + 58603
258.986 * * [simplify]: Extracting #8: cost 0 inf + 56416
259.015 * * [simplify]: Extracting #9: cost 0 inf + 56056
259.041 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))
259.041 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))))
259.042 * * * * [progress]: [ 282 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
259.042 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
259.043 * * [simplify]: iters left: 6 (52 enodes)
259.058 * * [simplify]: iters left: 5 (253 enodes)
259.138 * * [simplify]: Extracting #0: cost 1 inf + 0
259.138 * * [simplify]: Extracting #1: cost 3 inf + 0
259.138 * * [simplify]: Extracting #2: cost 6 inf + 0
259.138 * * [simplify]: Extracting #3: cost 56 inf + 0
259.138 * * [simplify]: Extracting #4: cost 130 inf + 0
259.139 * * [simplify]: Extracting #5: cost 216 inf + 0
259.139 * * [simplify]: Extracting #6: cost 304 inf + 722
259.141 * * [simplify]: Extracting #7: cost 256 inf + 11354
259.149 * * [simplify]: Extracting #8: cost 153 inf + 32740
259.166 * * [simplify]: Extracting #9: cost 77 inf + 58692
259.195 * * [simplify]: Extracting #10: cost 38 inf + 84898
259.224 * * [simplify]: Extracting #11: cost 8 inf + 120808
259.263 * * [simplify]: Extracting #12: cost 1 inf + 131663
259.314 * * [simplify]: Extracting #13: cost 0 inf + 133768
259.370 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
259.371 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
259.372 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
259.372 * * [simplify]: iters left: 6 (25 enodes)
259.385 * * [simplify]: iters left: 5 (117 enodes)
259.437 * * [simplify]: iters left: 4 (377 enodes)
259.684 * * [simplify]: Extracting #0: cost 1 inf + 0
259.684 * * [simplify]: Extracting #1: cost 3 inf + 0
259.684 * * [simplify]: Extracting #2: cost 46 inf + 0
259.685 * * [simplify]: Extracting #3: cost 318 inf + 0
259.688 * * [simplify]: Extracting #4: cost 507 inf + 329
259.693 * * [simplify]: Extracting #5: cost 524 inf + 13027
259.720 * * [simplify]: Extracting #6: cost 243 inf + 134960
259.815 * * [simplify]: Extracting #7: cost 5 inf + 250408
259.907 * * [simplify]: Extracting #8: cost 0 inf + 239622
259.998 * * [simplify]: Extracting #9: cost 0 inf + 239462
260.062 * [simplify]: Simplified to (sqrt (* (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))
260.062 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))
260.063 * * * * [progress]: [ 283 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
260.064 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
260.064 * * [simplify]: iters left: 6 (53 enodes)
260.092 * * [simplify]: iters left: 5 (262 enodes)
260.161 * * [simplify]: Extracting #0: cost 1 inf + 0
260.161 * * [simplify]: Extracting #1: cost 3 inf + 0
260.161 * * [simplify]: Extracting #2: cost 6 inf + 0
260.162 * * [simplify]: Extracting #3: cost 60 inf + 0
260.162 * * [simplify]: Extracting #4: cost 153 inf + 0
260.163 * * [simplify]: Extracting #5: cost 230 inf + 44
260.166 * * [simplify]: Extracting #6: cost 284 inf + 4117
260.171 * * [simplify]: Extracting #7: cost 253 inf + 10691
260.181 * * [simplify]: Extracting #8: cost 152 inf + 35664
260.214 * * [simplify]: Extracting #9: cost 24 inf + 105675
260.240 * * [simplify]: Extracting #10: cost 2 inf + 127175
260.284 * * [simplify]: Extracting #11: cost 0 inf + 131225
260.321 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
260.321 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
260.322 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
260.322 * * [simplify]: iters left: 6 (26 enodes)
260.330 * * [simplify]: iters left: 5 (121 enodes)
260.365 * * [simplify]: iters left: 4 (374 enodes)
260.571 * * [simplify]: Extracting #0: cost 1 inf + 0
260.571 * * [simplify]: Extracting #1: cost 3 inf + 0
260.571 * * [simplify]: Extracting #2: cost 68 inf + 0
260.572 * * [simplify]: Extracting #3: cost 323 inf + 0
260.574 * * [simplify]: Extracting #4: cost 435 inf + 1059
260.580 * * [simplify]: Extracting #5: cost 478 inf + 7339
260.599 * * [simplify]: Extracting #6: cost 329 inf + 54362
260.651 * * [simplify]: Extracting #7: cost 138 inf + 131816
260.743 * * [simplify]: Extracting #8: cost 5 inf + 209050
260.846 * * [simplify]: Extracting #9: cost 0 inf + 212389
260.921 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1))))
260.921 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)))))))
260.922 * * * * [progress]: [ 284 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
260.922 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
260.924 * * [simplify]: iters left: 6 (53 enodes)
260.952 * * [simplify]: iters left: 5 (262 enodes)
261.030 * * [simplify]: Extracting #0: cost 1 inf + 0
261.030 * * [simplify]: Extracting #1: cost 3 inf + 0
261.030 * * [simplify]: Extracting #2: cost 6 inf + 0
261.030 * * [simplify]: Extracting #3: cost 62 inf + 0
261.031 * * [simplify]: Extracting #4: cost 151 inf + 0
261.032 * * [simplify]: Extracting #5: cost 226 inf + 44
261.039 * * [simplify]: Extracting #6: cost 278 inf + 4958
261.044 * * [simplify]: Extracting #7: cost 252 inf + 10504
261.052 * * [simplify]: Extracting #8: cost 184 inf + 24236
261.064 * * [simplify]: Extracting #9: cost 123 inf + 40165
261.086 * * [simplify]: Extracting #10: cost 59 inf + 71396
261.113 * * [simplify]: Extracting #11: cost 10 inf + 119127
261.153 * * [simplify]: Extracting #12: cost 0 inf + 131537
261.205 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
261.205 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
261.206 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
261.206 * * [simplify]: iters left: 6 (26 enodes)
261.213 * * [simplify]: iters left: 5 (121 enodes)
261.249 * * [simplify]: iters left: 4 (372 enodes)
261.449 * * [simplify]: Extracting #0: cost 1 inf + 0
261.449 * * [simplify]: Extracting #1: cost 3 inf + 0
261.449 * * [simplify]: Extracting #2: cost 62 inf + 0
261.450 * * [simplify]: Extracting #3: cost 297 inf + 0
261.451 * * [simplify]: Extracting #4: cost 399 inf + 576
261.458 * * [simplify]: Extracting #5: cost 433 inf + 7833
261.475 * * [simplify]: Extracting #6: cost 221 inf + 93010
261.550 * * [simplify]: Extracting #7: cost 6 inf + 197217
261.615 * * [simplify]: Extracting #8: cost 0 inf + 188597
261.706 * * [simplify]: Extracting #9: cost 0 inf + 188237
261.777 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
261.777 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
261.778 * * * * [progress]: [ 285 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
261.778 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
261.778 * * [simplify]: iters left: 6 (47 enodes)
261.794 * * [simplify]: iters left: 5 (226 enodes)
261.858 * * [simplify]: Extracting #0: cost 1 inf + 0
261.858 * * [simplify]: Extracting #1: cost 3 inf + 0
261.858 * * [simplify]: Extracting #2: cost 6 inf + 0
261.858 * * [simplify]: Extracting #3: cost 54 inf + 0
261.858 * * [simplify]: Extracting #4: cost 119 inf + 0
261.859 * * [simplify]: Extracting #5: cost 174 inf + 44
261.859 * * [simplify]: Extracting #6: cost 246 inf + 1394
261.861 * * [simplify]: Extracting #7: cost 230 inf + 4160
261.866 * * [simplify]: Extracting #8: cost 162 inf + 16737
261.873 * * [simplify]: Extracting #9: cost 108 inf + 39825
261.883 * * [simplify]: Extracting #10: cost 52 inf + 60627
261.906 * * [simplify]: Extracting #11: cost 21 inf + 85471
261.948 * * [simplify]: Extracting #12: cost 1 inf + 107691
261.978 * * [simplify]: Extracting #13: cost 0 inf + 109556
262.003 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))))))
262.003 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
262.004 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))
262.004 * * [simplify]: iters left: 6 (21 enodes)
262.014 * * [simplify]: iters left: 5 (99 enodes)
262.053 * * [simplify]: iters left: 4 (302 enodes)
262.221 * * [simplify]: Extracting #0: cost 1 inf + 0
262.221 * * [simplify]: Extracting #1: cost 3 inf + 0
262.221 * * [simplify]: Extracting #2: cost 35 inf + 0
262.221 * * [simplify]: Extracting #3: cost 157 inf + 0
262.222 * * [simplify]: Extracting #4: cost 233 inf + 43
262.223 * * [simplify]: Extracting #5: cost 312 inf + 333
262.240 * * [simplify]: Extracting #6: cost 190 inf + 34111
262.275 * * [simplify]: Extracting #7: cost 11 inf + 100206
262.301 * * [simplify]: Extracting #8: cost 0 inf + 98279
262.340 * * [simplify]: Extracting #9: cost 0 inf + 97679
262.366 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (+ phi1 phi2))))
262.366 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
262.367 * * * * [progress]: [ 286 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
262.367 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
262.368 * * [simplify]: iters left: 6 (52 enodes)
262.382 * * [simplify]: iters left: 5 (254 enodes)
262.458 * * [simplify]: Extracting #0: cost 1 inf + 0
262.458 * * [simplify]: Extracting #1: cost 3 inf + 0
262.458 * * [simplify]: Extracting #2: cost 10 inf + 0
262.458 * * [simplify]: Extracting #3: cost 74 inf + 0
262.459 * * [simplify]: Extracting #4: cost 137 inf + 1
262.460 * * [simplify]: Extracting #5: cost 196 inf + 207
262.463 * * [simplify]: Extracting #6: cost 264 inf + 3412
262.466 * * [simplify]: Extracting #7: cost 248 inf + 7791
262.476 * * [simplify]: Extracting #8: cost 139 inf + 35850
262.496 * * [simplify]: Extracting #9: cost 62 inf + 64966
262.523 * * [simplify]: Extracting #10: cost 13 inf + 107185
262.559 * * [simplify]: Extracting #11: cost 1 inf + 121022
262.587 * * [simplify]: Extracting #12: cost 0 inf + 123087
262.639 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))))))
262.639 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
262.641 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
262.642 * * [simplify]: iters left: 6 (24 enodes)
262.656 * * [simplify]: iters left: 5 (112 enodes)
262.696 * * [simplify]: iters left: 4 (319 enodes)
262.818 * * [simplify]: Extracting #0: cost 1 inf + 0
262.818 * * [simplify]: Extracting #1: cost 3 inf + 0
262.818 * * [simplify]: Extracting #2: cost 33 inf + 0
262.818 * * [simplify]: Extracting #3: cost 144 inf + 0
262.819 * * [simplify]: Extracting #4: cost 239 inf + 412
262.821 * * [simplify]: Extracting #5: cost 312 inf + 1270
262.824 * * [simplify]: Extracting #6: cost 237 inf + 17195
262.838 * * [simplify]: Extracting #7: cost 93 inf + 64493
262.880 * * [simplify]: Extracting #8: cost 11 inf + 104257
262.938 * * [simplify]: Extracting #9: cost 0 inf + 110579
262.972 * [simplify]: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
262.972 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))))))) (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
262.973 * * * * [progress]: [ 287 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
262.973 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
262.974 * * [simplify]: iters left: 6 (47 enodes)
262.989 * * [simplify]: iters left: 5 (226 enodes)
263.071 * * [simplify]: Extracting #0: cost 1 inf + 0
263.071 * * [simplify]: Extracting #1: cost 3 inf + 0
263.071 * * [simplify]: Extracting #2: cost 10 inf + 0
263.071 * * [simplify]: Extracting #3: cost 66 inf + 0
263.072 * * [simplify]: Extracting #4: cost 117 inf + 44
263.072 * * [simplify]: Extracting #5: cost 160 inf + 1144
263.073 * * [simplify]: Extracting #6: cost 234 inf + 2972
263.074 * * [simplify]: Extracting #7: cost 235 inf + 3466
263.078 * * [simplify]: Extracting #8: cost 158 inf + 21662
263.088 * * [simplify]: Extracting #9: cost 62 inf + 58049
263.113 * * [simplify]: Extracting #10: cost 17 inf + 83341
263.149 * * [simplify]: Extracting #11: cost 3 inf + 96691
263.170 * * [simplify]: Extracting #12: cost 1 inf + 100221
263.198 * * [simplify]: Extracting #13: cost 0 inf + 102006
263.219 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
263.219 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
263.220 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
263.220 * * [simplify]: iters left: 6 (20 enodes)
263.225 * * [simplify]: iters left: 5 (94 enodes)
263.261 * * [simplify]: iters left: 4 (262 enodes)
263.375 * * [simplify]: Extracting #0: cost 1 inf + 0
263.375 * * [simplify]: Extracting #1: cost 3 inf + 0
263.375 * * [simplify]: Extracting #2: cost 23 inf + 0
263.375 * * [simplify]: Extracting #3: cost 69 inf + 0
263.376 * * [simplify]: Extracting #4: cost 130 inf + 2
263.377 * * [simplify]: Extracting #5: cost 211 inf + 44
263.385 * * [simplify]: Extracting #6: cost 122 inf + 20276
263.411 * * [simplify]: Extracting #7: cost 7 inf + 55347
263.445 * * [simplify]: Extracting #8: cost 0 inf + 54487
263.466 * * [simplify]: Extracting #9: cost 0 inf + 54007
263.480 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))
263.480 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))))
263.481 * * * * [progress]: [ 288 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
263.481 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
263.481 * * [simplify]: iters left: 6 (52 enodes)
263.499 * * [simplify]: iters left: 5 (254 enodes)
263.571 * * [simplify]: Extracting #0: cost 1 inf + 0
263.571 * * [simplify]: Extracting #1: cost 3 inf + 0
263.571 * * [simplify]: Extracting #2: cost 10 inf + 0
263.572 * * [simplify]: Extracting #3: cost 74 inf + 0
263.572 * * [simplify]: Extracting #4: cost 137 inf + 1
263.573 * * [simplify]: Extracting #5: cost 196 inf + 207
263.575 * * [simplify]: Extracting #6: cost 272 inf + 1797
263.578 * * [simplify]: Extracting #7: cost 251 inf + 6855
263.587 * * [simplify]: Extracting #8: cost 141 inf + 34946
263.607 * * [simplify]: Extracting #9: cost 63 inf + 64781
263.645 * * [simplify]: Extracting #10: cost 13 inf + 107905
263.681 * * [simplify]: Extracting #11: cost 1 inf + 121982
263.716 * * [simplify]: Extracting #12: cost 0 inf + 124047
263.750 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))))))
263.750 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
263.752 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
263.752 * * [simplify]: iters left: 6 (24 enodes)
263.759 * * [simplify]: iters left: 5 (112 enodes)
263.782 * * [simplify]: iters left: 4 (319 enodes)
263.903 * * [simplify]: Extracting #0: cost 1 inf + 0
263.903 * * [simplify]: Extracting #1: cost 3 inf + 0
263.903 * * [simplify]: Extracting #2: cost 33 inf + 0
263.904 * * [simplify]: Extracting #3: cost 144 inf + 0
263.905 * * [simplify]: Extracting #4: cost 239 inf + 412
263.906 * * [simplify]: Extracting #5: cost 312 inf + 1270
263.909 * * [simplify]: Extracting #6: cost 237 inf + 17195
263.935 * * [simplify]: Extracting #7: cost 93 inf + 64493
263.974 * * [simplify]: Extracting #8: cost 11 inf + 104257
264.022 * * [simplify]: Extracting #9: cost 0 inf + 110579
264.078 * [simplify]: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
264.078 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))))))) (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
264.080 * * * * [progress]: [ 289 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
264.080 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
264.081 * * [simplify]: iters left: 6 (47 enodes)
264.104 * * [simplify]: iters left: 5 (226 enodes)
264.169 * * [simplify]: Extracting #0: cost 1 inf + 0
264.169 * * [simplify]: Extracting #1: cost 3 inf + 0
264.169 * * [simplify]: Extracting #2: cost 10 inf + 0
264.170 * * [simplify]: Extracting #3: cost 65 inf + 0
264.170 * * [simplify]: Extracting #4: cost 116 inf + 86
264.171 * * [simplify]: Extracting #5: cost 156 inf + 1512
264.173 * * [simplify]: Extracting #6: cost 234 inf + 2932
264.176 * * [simplify]: Extracting #7: cost 232 inf + 3672
264.183 * * [simplify]: Extracting #8: cost 147 inf + 21991
264.199 * * [simplify]: Extracting #9: cost 79 inf + 45459
264.223 * * [simplify]: Extracting #10: cost 26 inf + 79238
264.244 * * [simplify]: Extracting #11: cost 3 inf + 98091
264.279 * * [simplify]: Extracting #12: cost 1 inf + 100381
264.304 * * [simplify]: Extracting #13: cost 0 inf + 102166
264.324 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
264.325 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
264.325 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
264.325 * * [simplify]: iters left: 6 (20 enodes)
264.331 * * [simplify]: iters left: 5 (94 enodes)
264.369 * * [simplify]: iters left: 4 (262 enodes)
264.487 * * [simplify]: Extracting #0: cost 1 inf + 0
264.488 * * [simplify]: Extracting #1: cost 3 inf + 0
264.488 * * [simplify]: Extracting #2: cost 23 inf + 0
264.488 * * [simplify]: Extracting #3: cost 69 inf + 0
264.488 * * [simplify]: Extracting #4: cost 130 inf + 2
264.489 * * [simplify]: Extracting #5: cost 211 inf + 44
264.493 * * [simplify]: Extracting #6: cost 122 inf + 20276
264.507 * * [simplify]: Extracting #7: cost 7 inf + 55347
264.522 * * [simplify]: Extracting #8: cost 0 inf + 54487
264.546 * * [simplify]: Extracting #9: cost 0 inf + 54007
264.561 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))
264.561 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))))
264.561 * * * * [progress]: [ 290 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
264.562 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
264.562 * * [simplify]: iters left: 6 (52 enodes)
264.579 * * [simplify]: iters left: 5 (254 enodes)
264.669 * * [simplify]: Extracting #0: cost 1 inf + 0
264.669 * * [simplify]: Extracting #1: cost 3 inf + 0
264.669 * * [simplify]: Extracting #2: cost 6 inf + 0
264.669 * * [simplify]: Extracting #3: cost 56 inf + 0
264.669 * * [simplify]: Extracting #4: cost 130 inf + 0
264.670 * * [simplify]: Extracting #5: cost 208 inf + 0
264.671 * * [simplify]: Extracting #6: cost 299 inf + 721
264.672 * * [simplify]: Extracting #7: cost 256 inf + 10637
264.676 * * [simplify]: Extracting #8: cost 181 inf + 23442
264.686 * * [simplify]: Extracting #9: cost 107 inf + 47366
264.698 * * [simplify]: Extracting #10: cost 52 inf + 72405
264.718 * * [simplify]: Extracting #11: cost 15 inf + 108290
264.743 * * [simplify]: Extracting #12: cost 0 inf + 126825
264.770 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))
264.770 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
264.771 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
264.771 * * [simplify]: iters left: 6 (25 enodes)
264.778 * * [simplify]: iters left: 5 (116 enodes)
264.809 * * [simplify]: iters left: 4 (344 enodes)
265.057 * * [simplify]: Extracting #0: cost 1 inf + 0
265.057 * * [simplify]: Extracting #1: cost 3 inf + 0
265.057 * * [simplify]: Extracting #2: cost 44 inf + 0
265.058 * * [simplify]: Extracting #3: cost 313 inf + 0
265.060 * * [simplify]: Extracting #4: cost 494 inf + 1540
265.065 * * [simplify]: Extracting #5: cost 539 inf + 16149
265.080 * * [simplify]: Extracting #6: cost 411 inf + 50279
265.119 * * [simplify]: Extracting #7: cost 165 inf + 138407
265.215 * * [simplify]: Extracting #8: cost 5 inf + 237711
265.285 * * [simplify]: Extracting #9: cost 0 inf + 241531
265.355 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))
265.355 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))))
265.356 * * * * [progress]: [ 291 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
265.356 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
265.357 * * [simplify]: iters left: 6 (53 enodes)
265.378 * * [simplify]: iters left: 5 (263 enodes)
265.460 * * [simplify]: Extracting #0: cost 1 inf + 0
265.460 * * [simplify]: Extracting #1: cost 3 inf + 0
265.460 * * [simplify]: Extracting #2: cost 6 inf + 0
265.460 * * [simplify]: Extracting #3: cost 60 inf + 0
265.460 * * [simplify]: Extracting #4: cost 153 inf + 0
265.461 * * [simplify]: Extracting #5: cost 222 inf + 44
265.462 * * [simplify]: Extracting #6: cost 274 inf + 5244
265.465 * * [simplify]: Extracting #7: cost 246 inf + 11763
265.469 * * [simplify]: Extracting #8: cost 181 inf + 23115
265.475 * * [simplify]: Extracting #9: cost 124 inf + 40901
265.488 * * [simplify]: Extracting #10: cost 57 inf + 71461
265.519 * * [simplify]: Extracting #11: cost 30 inf + 95012
265.564 * * [simplify]: Extracting #12: cost 4 inf + 124742
265.597 * * [simplify]: Extracting #13: cost 0 inf + 129482
265.638 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))
265.638 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
265.640 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
265.640 * * [simplify]: iters left: 6 (26 enodes)
265.653 * * [simplify]: iters left: 5 (120 enodes)
265.692 * * [simplify]: iters left: 4 (341 enodes)
265.896 * * [simplify]: Extracting #0: cost 1 inf + 0
265.896 * * [simplify]: Extracting #1: cost 3 inf + 0
265.896 * * [simplify]: Extracting #2: cost 68 inf + 0
265.897 * * [simplify]: Extracting #3: cost 321 inf + 0
265.898 * * [simplify]: Extracting #4: cost 435 inf + 494
265.902 * * [simplify]: Extracting #5: cost 515 inf + 9236
265.909 * * [simplify]: Extracting #6: cost 426 inf + 31272
265.952 * * [simplify]: Extracting #7: cost 131 inf + 141662
266.031 * * [simplify]: Extracting #8: cost 1 inf + 214762
266.079 * * [simplify]: Extracting #9: cost 0 inf + 215406
266.136 * [simplify]: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
266.136 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
266.137 * * * * [progress]: [ 292 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
266.138 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
266.139 * * [simplify]: iters left: 6 (53 enodes)
266.162 * * [simplify]: iters left: 5 (263 enodes)
266.241 * * [simplify]: Extracting #0: cost 1 inf + 0
266.241 * * [simplify]: Extracting #1: cost 3 inf + 0
266.241 * * [simplify]: Extracting #2: cost 6 inf + 0
266.241 * * [simplify]: Extracting #3: cost 62 inf + 0
266.242 * * [simplify]: Extracting #4: cost 151 inf + 0
266.242 * * [simplify]: Extracting #5: cost 218 inf + 44
266.244 * * [simplify]: Extracting #6: cost 272 inf + 4958
266.247 * * [simplify]: Extracting #7: cost 244 inf + 11921
266.252 * * [simplify]: Extracting #8: cost 185 inf + 22137
266.265 * * [simplify]: Extracting #9: cost 113 inf + 45632
266.278 * * [simplify]: Extracting #10: cost 55 inf + 72623
266.297 * * [simplify]: Extracting #11: cost 15 inf + 110539
266.343 * * [simplify]: Extracting #12: cost 0 inf + 127154
266.393 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
266.393 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
266.394 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
266.394 * * [simplify]: iters left: 6 (26 enodes)
266.402 * * [simplify]: iters left: 5 (120 enodes)
266.426 * * [simplify]: iters left: 4 (339 enodes)
266.595 * * [simplify]: Extracting #0: cost 1 inf + 0
266.595 * * [simplify]: Extracting #1: cost 3 inf + 0
266.595 * * [simplify]: Extracting #2: cost 62 inf + 0
266.597 * * [simplify]: Extracting #3: cost 308 inf + 0
266.599 * * [simplify]: Extracting #4: cost 412 inf + 126
266.605 * * [simplify]: Extracting #5: cost 500 inf + 6413
266.617 * * [simplify]: Extracting #6: cost 391 inf + 30574
266.652 * * [simplify]: Extracting #7: cost 150 inf + 110283
266.696 * * [simplify]: Extracting #8: cost 0 inf + 196854
266.774 * [simplify]: Simplified to (sqrt (* (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
266.774 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
266.775 * * * * [progress]: [ 293 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
266.775 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
266.775 * * [simplify]: iters left: 6 (47 enodes)
266.790 * * [simplify]: iters left: 5 (227 enodes)
266.849 * * [simplify]: Extracting #0: cost 1 inf + 0
266.849 * * [simplify]: Extracting #1: cost 3 inf + 0
266.849 * * [simplify]: Extracting #2: cost 6 inf + 0
266.850 * * [simplify]: Extracting #3: cost 54 inf + 0
266.850 * * [simplify]: Extracting #4: cost 119 inf + 0
266.850 * * [simplify]: Extracting #5: cost 166 inf + 44
266.851 * * [simplify]: Extracting #6: cost 238 inf + 1557
266.855 * * [simplify]: Extracting #7: cost 228 inf + 3714
266.858 * * [simplify]: Extracting #8: cost 147 inf + 22344
266.867 * * [simplify]: Extracting #9: cost 67 inf + 50788
266.886 * * [simplify]: Extracting #10: cost 26 inf + 74963
266.919 * * [simplify]: Extracting #11: cost 3 inf + 99778
266.955 * * [simplify]: Extracting #12: cost 1 inf + 103468
266.984 * * [simplify]: Extracting #13: cost 0 inf + 105333
267.013 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (+ phi2 phi1))) (+ phi2 phi1))))
267.013 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (+ phi2 phi1))) (+ phi2 phi1)))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
267.015 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))
267.015 * * [simplify]: iters left: 6 (21 enodes)
267.025 * * [simplify]: iters left: 5 (98 enodes)
267.063 * * [simplify]: iters left: 4 (268 enodes)
267.185 * * [simplify]: Extracting #0: cost 1 inf + 0
267.185 * * [simplify]: Extracting #1: cost 3 inf + 0
267.186 * * [simplify]: Extracting #2: cost 37 inf + 0
267.186 * * [simplify]: Extracting #3: cost 162 inf + 0
267.188 * * [simplify]: Extracting #4: cost 225 inf + 85
267.190 * * [simplify]: Extracting #5: cost 307 inf + 1024
267.200 * * [simplify]: Extracting #6: cost 212 inf + 29133
267.224 * * [simplify]: Extracting #7: cost 25 inf + 90844
267.260 * * [simplify]: Extracting #8: cost 0 inf + 100093
267.304 * * [simplify]: Extracting #9: cost 0 inf + 99533
267.349 * [simplify]: Simplified to (sqrt (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
267.349 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
267.350 * * * * [progress]: [ 294 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
267.350 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
267.351 * * [simplify]: iters left: 6 (52 enodes)
267.368 * * [simplify]: iters left: 5 (255 enodes)
267.439 * * [simplify]: Extracting #0: cost 1 inf + 0
267.439 * * [simplify]: Extracting #1: cost 3 inf + 0
267.439 * * [simplify]: Extracting #2: cost 10 inf + 0
267.439 * * [simplify]: Extracting #3: cost 74 inf + 0
267.440 * * [simplify]: Extracting #4: cost 137 inf + 1
267.441 * * [simplify]: Extracting #5: cost 187 inf + 248
267.443 * * [simplify]: Extracting #6: cost 264 inf + 2322
267.447 * * [simplify]: Extracting #7: cost 242 inf + 8473
267.453 * * [simplify]: Extracting #8: cost 172 inf + 21162
267.464 * * [simplify]: Extracting #9: cost 110 inf + 42195
267.475 * * [simplify]: Extracting #10: cost 56 inf + 65746
267.492 * * [simplify]: Extracting #11: cost 28 inf + 84284
267.531 * * [simplify]: Extracting #12: cost 3 inf + 112389
267.577 * * [simplify]: Extracting #13: cost 0 inf + 118304
267.602 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
267.602 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
267.603 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
267.604 * * [simplify]: iters left: 6 (24 enodes)
267.615 * * [simplify]: iters left: 5 (111 enodes)
267.641 * * [simplify]: iters left: 4 (286 enodes)
267.745 * * [simplify]: Extracting #0: cost 1 inf + 0
267.745 * * [simplify]: Extracting #1: cost 3 inf + 0
267.745 * * [simplify]: Extracting #2: cost 33 inf + 0
267.746 * * [simplify]: Extracting #3: cost 144 inf + 0
267.746 * * [simplify]: Extracting #4: cost 239 inf + 168
267.748 * * [simplify]: Extracting #5: cost 373 inf + 782
267.753 * * [simplify]: Extracting #6: cost 292 inf + 16600
267.778 * * [simplify]: Extracting #7: cost 82 inf + 79586
267.822 * * [simplify]: Extracting #8: cost 2 inf + 118694
267.855 * * [simplify]: Extracting #9: cost 0 inf + 119942
267.904 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))
267.904 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))))
267.905 * * * * [progress]: [ 295 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
267.905 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
267.905 * * [simplify]: iters left: 6 (47 enodes)
267.920 * * [simplify]: iters left: 5 (227 enodes)
267.994 * * [simplify]: Extracting #0: cost 1 inf + 0
267.994 * * [simplify]: Extracting #1: cost 3 inf + 0
267.994 * * [simplify]: Extracting #2: cost 10 inf + 0
267.994 * * [simplify]: Extracting #3: cost 66 inf + 0
267.995 * * [simplify]: Extracting #4: cost 117 inf + 44
267.995 * * [simplify]: Extracting #5: cost 148 inf + 1752
267.996 * * [simplify]: Extracting #6: cost 228 inf + 2972
267.997 * * [simplify]: Extracting #7: cost 229 inf + 3667
268.001 * * [simplify]: Extracting #8: cost 156 inf + 19478
268.008 * * [simplify]: Extracting #9: cost 67 inf + 49788
268.033 * * [simplify]: Extracting #10: cost 13 inf + 88225
268.069 * * [simplify]: Extracting #11: cost 1 inf + 97438
268.090 * * [simplify]: Extracting #12: cost 0 inf + 98983
268.121 * * [simplify]: Extracting #13: cost 0 inf + 98903
268.146 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))
268.146 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
268.146 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))
268.147 * * [simplify]: iters left: 6 (20 enodes)
268.151 * * [simplify]: iters left: 5 (93 enodes)
268.181 * * [simplify]: iters left: 4 (229 enodes)
268.272 * * [simplify]: Extracting #0: cost 1 inf + 0
268.272 * * [simplify]: Extracting #1: cost 3 inf + 0
268.272 * * [simplify]: Extracting #2: cost 23 inf + 0
268.272 * * [simplify]: Extracting #3: cost 69 inf + 0
268.272 * * [simplify]: Extracting #4: cost 126 inf + 44
268.273 * * [simplify]: Extracting #5: cost 259 inf + 86
268.275 * * [simplify]: Extracting #6: cost 228 inf + 7349
268.283 * * [simplify]: Extracting #7: cost 50 inf + 45480
268.297 * * [simplify]: Extracting #8: cost 5 inf + 62098
268.312 * * [simplify]: Extracting #9: cost 0 inf + 64714
268.333 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))
268.333 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))))))
268.334 * * * * [progress]: [ 296 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
268.334 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
268.334 * * [simplify]: iters left: 6 (52 enodes)
268.348 * * [simplify]: iters left: 5 (255 enodes)
268.418 * * [simplify]: Extracting #0: cost 1 inf + 0
268.418 * * [simplify]: Extracting #1: cost 3 inf + 0
268.418 * * [simplify]: Extracting #2: cost 10 inf + 0
268.418 * * [simplify]: Extracting #3: cost 74 inf + 0
268.418 * * [simplify]: Extracting #4: cost 137 inf + 1
268.419 * * [simplify]: Extracting #5: cost 187 inf + 248
268.420 * * [simplify]: Extracting #6: cost 268 inf + 1313
268.421 * * [simplify]: Extracting #7: cost 250 inf + 5885
268.424 * * [simplify]: Extracting #8: cost 189 inf + 17036
268.433 * * [simplify]: Extracting #9: cost 116 inf + 39961
268.454 * * [simplify]: Extracting #10: cost 58 inf + 65580
268.484 * * [simplify]: Extracting #11: cost 28 inf + 85404
268.520 * * [simplify]: Extracting #12: cost 4 inf + 112444
268.548 * * [simplify]: Extracting #13: cost 0 inf + 119424
268.598 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
268.598 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
268.599 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
268.599 * * [simplify]: iters left: 6 (24 enodes)
268.606 * * [simplify]: iters left: 5 (111 enodes)
268.628 * * [simplify]: iters left: 4 (286 enodes)
268.765 * * [simplify]: Extracting #0: cost 1 inf + 0
268.765 * * [simplify]: Extracting #1: cost 3 inf + 0
268.765 * * [simplify]: Extracting #2: cost 33 inf + 0
268.766 * * [simplify]: Extracting #3: cost 144 inf + 0
268.767 * * [simplify]: Extracting #4: cost 239 inf + 168
268.770 * * [simplify]: Extracting #5: cost 373 inf + 782
268.776 * * [simplify]: Extracting #6: cost 292 inf + 16600
268.798 * * [simplify]: Extracting #7: cost 82 inf + 79586
268.829 * * [simplify]: Extracting #8: cost 2 inf + 118694
268.864 * * [simplify]: Extracting #9: cost 0 inf + 119942
268.906 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))
268.906 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))))
268.907 * * * * [progress]: [ 297 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
268.908 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
268.908 * * [simplify]: iters left: 6 (47 enodes)
268.932 * * [simplify]: iters left: 5 (227 enodes)
269.022 * * [simplify]: Extracting #0: cost 1 inf + 0
269.022 * * [simplify]: Extracting #1: cost 3 inf + 0
269.022 * * [simplify]: Extracting #2: cost 10 inf + 0
269.022 * * [simplify]: Extracting #3: cost 65 inf + 0
269.023 * * [simplify]: Extracting #4: cost 117 inf + 44
269.024 * * [simplify]: Extracting #5: cost 155 inf + 658
269.026 * * [simplify]: Extracting #6: cost 229 inf + 2770
269.028 * * [simplify]: Extracting #7: cost 230 inf + 3505
269.031 * * [simplify]: Extracting #8: cost 182 inf + 11284
269.036 * * [simplify]: Extracting #9: cost 112 inf + 31638
269.046 * * [simplify]: Extracting #10: cost 39 inf + 64225
269.065 * * [simplify]: Extracting #11: cost 10 inf + 88293
269.086 * * [simplify]: Extracting #12: cost 1 inf + 97678
269.113 * * [simplify]: Extracting #13: cost 0 inf + 99383
269.135 * * [simplify]: Extracting #14: cost 0 inf + 99303
269.156 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
269.156 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
269.157 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))
269.157 * * [simplify]: iters left: 6 (20 enodes)
269.161 * * [simplify]: iters left: 5 (93 enodes)
269.180 * * [simplify]: iters left: 4 (229 enodes)
269.243 * * [simplify]: Extracting #0: cost 1 inf + 0
269.243 * * [simplify]: Extracting #1: cost 3 inf + 0
269.243 * * [simplify]: Extracting #2: cost 23 inf + 0
269.244 * * [simplify]: Extracting #3: cost 69 inf + 0
269.244 * * [simplify]: Extracting #4: cost 126 inf + 44
269.249 * * [simplify]: Extracting #5: cost 259 inf + 86
269.252 * * [simplify]: Extracting #6: cost 228 inf + 7349
269.267 * * [simplify]: Extracting #7: cost 50 inf + 45480
269.293 * * [simplify]: Extracting #8: cost 5 inf + 62098
269.313 * * [simplify]: Extracting #9: cost 0 inf + 64714
269.328 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))
269.328 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))))))
269.328 * * * * [progress]: [ 298 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
269.329 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
269.329 * * [simplify]: iters left: 6 (45 enodes)
269.347 * * [simplify]: iters left: 5 (217 enodes)
269.414 * * [simplify]: Extracting #0: cost 1 inf + 0
269.414 * * [simplify]: Extracting #1: cost 3 inf + 0
269.414 * * [simplify]: Extracting #2: cost 6 inf + 0
269.414 * * [simplify]: Extracting #3: cost 54 inf + 0
269.415 * * [simplify]: Extracting #4: cost 120 inf + 0
269.415 * * [simplify]: Extracting #5: cost 187 inf + 0
269.416 * * [simplify]: Extracting #6: cost 250 inf + 291
269.417 * * [simplify]: Extracting #7: cost 221 inf + 6916
269.421 * * [simplify]: Extracting #8: cost 123 inf + 29329
269.429 * * [simplify]: Extracting #9: cost 61 inf + 52525
269.447 * * [simplify]: Extracting #10: cost 8 inf + 96003
269.481 * * [simplify]: Extracting #11: cost 0 inf + 104003
269.521 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))
269.522 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
269.523 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
269.523 * * [simplify]: iters left: 6 (22 enodes)
269.533 * * [simplify]: iters left: 5 (101 enodes)
269.575 * * [simplify]: iters left: 4 (317 enodes)
269.799 * * [simplify]: Extracting #0: cost 1 inf + 0
269.800 * * [simplify]: Extracting #1: cost 3 inf + 0
269.800 * * [simplify]: Extracting #2: cost 37 inf + 0
269.801 * * [simplify]: Extracting #3: cost 288 inf + 0
269.805 * * [simplify]: Extracting #4: cost 444 inf + 248
269.817 * * [simplify]: Extracting #5: cost 464 inf + 9801
269.859 * * [simplify]: Extracting #6: cost 198 inf + 112456
269.944 * * [simplify]: Extracting #7: cost 3 inf + 195971
270.021 * * [simplify]: Extracting #8: cost 0 inf + 191783
270.112 * * [simplify]: Extracting #9: cost 0 inf + 191383
270.207 * * [simplify]: Extracting #10: cost 0 inf + 191303
270.300 * * [simplify]: Extracting #11: cost 0 inf + 191263
270.362 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))
270.362 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))))))
270.364 * * * * [progress]: [ 299 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
270.364 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
270.365 * * [simplify]: iters left: 6 (46 enodes)
270.390 * * [simplify]: iters left: 5 (226 enodes)
270.486 * * [simplify]: Extracting #0: cost 1 inf + 0
270.486 * * [simplify]: Extracting #1: cost 3 inf + 0
270.486 * * [simplify]: Extracting #2: cost 6 inf + 0
270.486 * * [simplify]: Extracting #3: cost 58 inf + 0
270.486 * * [simplify]: Extracting #4: cost 143 inf + 0
270.487 * * [simplify]: Extracting #5: cost 200 inf + 126
270.488 * * [simplify]: Extracting #6: cost 246 inf + 4196
270.490 * * [simplify]: Extracting #7: cost 205 inf + 11960
270.493 * * [simplify]: Extracting #8: cost 148 inf + 22764
270.499 * * [simplify]: Extracting #9: cost 96 inf + 39431
270.517 * * [simplify]: Extracting #10: cost 47 inf + 63990
270.554 * * [simplify]: Extracting #11: cost 2 inf + 105810
270.576 * * [simplify]: Extracting #12: cost 0 inf + 108380
270.617 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
270.617 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
270.618 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
270.618 * * [simplify]: iters left: 6 (23 enodes)
270.629 * * [simplify]: iters left: 5 (105 enodes)
270.655 * * [simplify]: iters left: 4 (314 enodes)
270.855 * * [simplify]: Extracting #0: cost 1 inf + 0
270.855 * * [simplify]: Extracting #1: cost 3 inf + 0
270.855 * * [simplify]: Extracting #2: cost 63 inf + 0
270.856 * * [simplify]: Extracting #3: cost 302 inf + 0
270.857 * * [simplify]: Extracting #4: cost 385 inf + 292
270.860 * * [simplify]: Extracting #5: cost 425 inf + 6487
270.880 * * [simplify]: Extracting #6: cost 200 inf + 101814
270.967 * * [simplify]: Extracting #7: cost 3 inf + 179436
271.030 * * [simplify]: Extracting #8: cost 0 inf + 173968
271.095 * * [simplify]: Extracting #9: cost 0 inf + 173848
271.168 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))))
271.168 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))))))
271.169 * * * * [progress]: [ 300 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
271.169 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
271.169 * * [simplify]: iters left: 6 (46 enodes)
271.182 * * [simplify]: iters left: 5 (226 enodes)
271.248 * * [simplify]: Extracting #0: cost 1 inf + 0
271.248 * * [simplify]: Extracting #1: cost 3 inf + 0
271.248 * * [simplify]: Extracting #2: cost 6 inf + 0
271.248 * * [simplify]: Extracting #3: cost 60 inf + 0
271.248 * * [simplify]: Extracting #4: cost 141 inf + 0
271.249 * * [simplify]: Extracting #5: cost 196 inf + 126
271.251 * * [simplify]: Extracting #6: cost 241 inf + 3436
271.255 * * [simplify]: Extracting #7: cost 206 inf + 12349
271.262 * * [simplify]: Extracting #8: cost 146 inf + 23887
271.275 * * [simplify]: Extracting #9: cost 90 inf + 41572
271.295 * * [simplify]: Extracting #10: cost 46 inf + 63502
271.332 * * [simplify]: Extracting #11: cost 5 inf + 98927
271.358 * * [simplify]: Extracting #12: cost 1 inf + 104307
271.387 * * [simplify]: Extracting #13: cost 0 inf + 106132
271.430 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
271.430 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
271.431 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
271.432 * * [simplify]: iters left: 6 (23 enodes)
271.440 * * [simplify]: iters left: 5 (105 enodes)
271.462 * * [simplify]: iters left: 4 (312 enodes)
271.648 * * [simplify]: Extracting #0: cost 1 inf + 0
271.648 * * [simplify]: Extracting #1: cost 3 inf + 0
271.649 * * [simplify]: Extracting #2: cost 55 inf + 0
271.650 * * [simplify]: Extracting #3: cost 274 inf + 0
271.652 * * [simplify]: Extracting #4: cost 347 inf + 496
271.656 * * [simplify]: Extracting #5: cost 378 inf + 7749
271.674 * * [simplify]: Extracting #6: cost 191 inf + 88320
271.737 * * [simplify]: Extracting #7: cost 7 inf + 158694
271.823 * * [simplify]: Extracting #8: cost 0 inf + 153910
271.869 * * [simplify]: Extracting #9: cost 0 inf + 153830
271.918 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))))
271.918 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))))))))
271.919 * * * * [progress]: [ 301 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
271.919 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
271.919 * * [simplify]: iters left: 6 (40 enodes)
271.930 * * [simplify]: iters left: 5 (190 enodes)
271.981 * * [simplify]: Extracting #0: cost 1 inf + 0
271.981 * * [simplify]: Extracting #1: cost 3 inf + 0
271.981 * * [simplify]: Extracting #2: cost 6 inf + 0
271.981 * * [simplify]: Extracting #3: cost 52 inf + 0
271.982 * * [simplify]: Extracting #4: cost 109 inf + 0
271.982 * * [simplify]: Extracting #5: cost 145 inf + 44
271.983 * * [simplify]: Extracting #6: cost 190 inf + 1761
271.984 * * [simplify]: Extracting #7: cost 187 inf + 3185
271.987 * * [simplify]: Extracting #8: cost 128 inf + 17964
271.994 * * [simplify]: Extracting #9: cost 63 inf + 42680
272.012 * * [simplify]: Extracting #10: cost 13 inf + 71959
272.029 * * [simplify]: Extracting #11: cost 2 inf + 80021
272.046 * * [simplify]: Extracting #12: cost 0 inf + 83031
272.078 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))))))
272.079 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
272.080 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
272.080 * * [simplify]: iters left: 6 (18 enodes)
272.088 * * [simplify]: iters left: 5 (83 enodes)
272.120 * * [simplify]: iters left: 4 (242 enodes)
272.240 * * [simplify]: Extracting #0: cost 1 inf + 0
272.240 * * [simplify]: Extracting #1: cost 3 inf + 0
272.241 * * [simplify]: Extracting #2: cost 29 inf + 0
272.241 * * [simplify]: Extracting #3: cost 140 inf + 0
272.242 * * [simplify]: Extracting #4: cost 186 inf + 250
272.243 * * [simplify]: Extracting #5: cost 241 inf + 3742
272.251 * * [simplify]: Extracting #6: cost 169 inf + 28116
272.272 * * [simplify]: Extracting #7: cost 24 inf + 73792
272.293 * * [simplify]: Extracting #8: cost 0 inf + 77907
272.327 * * [simplify]: Extracting #9: cost 0 inf + 76787
272.354 * * [simplify]: Extracting #10: cost 0 inf + 76747
272.375 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))
272.375 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))))))
272.376 * * * * [progress]: [ 302 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
272.376 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
272.376 * * [simplify]: iters left: 6 (45 enodes)
272.394 * * [simplify]: iters left: 5 (218 enodes)
272.456 * * [simplify]: Extracting #0: cost 1 inf + 0
272.456 * * [simplify]: Extracting #1: cost 3 inf + 0
272.456 * * [simplify]: Extracting #2: cost 10 inf + 0
272.456 * * [simplify]: Extracting #3: cost 72 inf + 0
272.457 * * [simplify]: Extracting #4: cost 127 inf + 1
272.461 * * [simplify]: Extracting #5: cost 166 inf + 289
272.462 * * [simplify]: Extracting #6: cost 225 inf + 1288
272.465 * * [simplify]: Extracting #7: cost 204 inf + 7460
272.471 * * [simplify]: Extracting #8: cost 145 inf + 20844
272.479 * * [simplify]: Extracting #9: cost 60 inf + 48402
272.492 * * [simplify]: Extracting #10: cost 21 inf + 77060
272.510 * * [simplify]: Extracting #11: cost 2 inf + 96952
272.547 * * [simplify]: Extracting #12: cost 0 inf + 99642
272.570 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))
272.570 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
272.571 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
272.571 * * [simplify]: iters left: 6 (21 enodes)
272.576 * * [simplify]: iters left: 5 (96 enodes)
272.609 * * [simplify]: iters left: 4 (259 enodes)
272.732 * * [simplify]: Extracting #0: cost 1 inf + 0
272.732 * * [simplify]: Extracting #1: cost 3 inf + 0
272.732 * * [simplify]: Extracting #2: cost 28 inf + 0
272.733 * * [simplify]: Extracting #3: cost 107 inf + 0
272.733 * * [simplify]: Extracting #4: cost 178 inf + 290
272.735 * * [simplify]: Extracting #5: cost 252 inf + 904
272.739 * * [simplify]: Extracting #6: cost 165 inf + 26596
272.764 * * [simplify]: Extracting #7: cost 20 inf + 73568
272.804 * * [simplify]: Extracting #8: cost 0 inf + 80063
272.840 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))
272.840 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))
272.841 * * * * [progress]: [ 303 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
272.841 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
272.842 * * [simplify]: iters left: 6 (40 enodes)
272.861 * * [simplify]: iters left: 5 (190 enodes)
272.912 * * [simplify]: Extracting #0: cost 1 inf + 0
272.912 * * [simplify]: Extracting #1: cost 3 inf + 0
272.912 * * [simplify]: Extracting #2: cost 10 inf + 0
272.912 * * [simplify]: Extracting #3: cost 64 inf + 0
272.912 * * [simplify]: Extracting #4: cost 106 inf + 86
272.913 * * [simplify]: Extracting #5: cost 124 inf + 1958
272.914 * * [simplify]: Extracting #6: cost 181 inf + 2932
272.916 * * [simplify]: Extracting #7: cost 184 inf + 3265
272.925 * * [simplify]: Extracting #8: cost 113 inf + 18730
272.939 * * [simplify]: Extracting #9: cost 46 inf + 48155
272.965 * * [simplify]: Extracting #10: cost 12 inf + 74157
272.997 * * [simplify]: Extracting #11: cost 0 inf + 80201
273.028 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))))
273.028 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
273.029 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
273.030 * * [simplify]: iters left: 6 (17 enodes)
273.038 * * [simplify]: iters left: 5 (78 enodes)
273.066 * * [simplify]: iters left: 4 (202 enodes)
273.147 * * [simplify]: Extracting #0: cost 1 inf + 0
273.147 * * [simplify]: Extracting #1: cost 3 inf + 0
273.148 * * [simplify]: Extracting #2: cost 18 inf + 0
273.148 * * [simplify]: Extracting #3: cost 44 inf + 0
273.148 * * [simplify]: Extracting #4: cost 86 inf + 2
273.149 * * [simplify]: Extracting #5: cost 164 inf + 44
273.151 * * [simplify]: Extracting #6: cost 142 inf + 4662
273.162 * * [simplify]: Extracting #7: cost 40 inf + 30099
273.173 * * [simplify]: Extracting #8: cost 2 inf + 39709
273.186 * * [simplify]: Extracting #9: cost 0 inf + 39075
273.205 * * [simplify]: Extracting #10: cost 0 inf + 38995
273.225 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))
273.225 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ phi1 phi2) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))))
273.226 * * * * [progress]: [ 304 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
273.226 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
273.226 * * [simplify]: iters left: 6 (45 enodes)
273.238 * * [simplify]: iters left: 5 (218 enodes)
273.312 * * [simplify]: Extracting #0: cost 1 inf + 0
273.312 * * [simplify]: Extracting #1: cost 3 inf + 0
273.312 * * [simplify]: Extracting #2: cost 10 inf + 0
273.312 * * [simplify]: Extracting #3: cost 72 inf + 0
273.313 * * [simplify]: Extracting #4: cost 127 inf + 1
273.313 * * [simplify]: Extracting #5: cost 166 inf + 289
273.315 * * [simplify]: Extracting #6: cost 224 inf + 1401
273.317 * * [simplify]: Extracting #7: cost 201 inf + 9124
273.320 * * [simplify]: Extracting #8: cost 148 inf + 20007
273.327 * * [simplify]: Extracting #9: cost 62 inf + 47152
273.339 * * [simplify]: Extracting #10: cost 21 inf + 78020
273.365 * * [simplify]: Extracting #11: cost 2 inf + 97912
273.403 * * [simplify]: Extracting #12: cost 0 inf + 100602
273.442 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))
273.442 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
273.443 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
273.443 * * [simplify]: iters left: 6 (21 enodes)
273.455 * * [simplify]: iters left: 5 (96 enodes)
273.490 * * [simplify]: iters left: 4 (259 enodes)
273.619 * * [simplify]: Extracting #0: cost 1 inf + 0
273.619 * * [simplify]: Extracting #1: cost 3 inf + 0
273.619 * * [simplify]: Extracting #2: cost 28 inf + 0
273.620 * * [simplify]: Extracting #3: cost 107 inf + 0
273.620 * * [simplify]: Extracting #4: cost 178 inf + 290
273.621 * * [simplify]: Extracting #5: cost 252 inf + 904
273.630 * * [simplify]: Extracting #6: cost 165 inf + 26596
273.664 * * [simplify]: Extracting #7: cost 20 inf + 73568
273.704 * * [simplify]: Extracting #8: cost 0 inf + 80063
273.727 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))
273.727 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))
273.728 * * * * [progress]: [ 305 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
273.728 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
273.729 * * [simplify]: iters left: 6 (40 enodes)
273.751 * * [simplify]: iters left: 5 (190 enodes)
273.816 * * [simplify]: Extracting #0: cost 1 inf + 0
273.816 * * [simplify]: Extracting #1: cost 3 inf + 0
273.816 * * [simplify]: Extracting #2: cost 10 inf + 0
273.816 * * [simplify]: Extracting #3: cost 63 inf + 0
273.816 * * [simplify]: Extracting #4: cost 106 inf + 86
273.817 * * [simplify]: Extracting #5: cost 126 inf + 1675
273.818 * * [simplify]: Extracting #6: cost 183 inf + 2689
273.819 * * [simplify]: Extracting #7: cost 184 inf + 3265
273.822 * * [simplify]: Extracting #8: cost 113 inf + 19013
273.830 * * [simplify]: Extracting #9: cost 47 inf + 47872
273.855 * * [simplify]: Extracting #10: cost 13 inf + 70517
273.886 * * [simplify]: Extracting #11: cost 0 inf + 80961
273.917 * * [simplify]: Extracting #12: cost 0 inf + 80601
273.948 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))))
273.949 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
273.950 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
273.950 * * [simplify]: iters left: 6 (17 enodes)
273.958 * * [simplify]: iters left: 5 (78 enodes)
273.984 * * [simplify]: iters left: 4 (202 enodes)
274.066 * * [simplify]: Extracting #0: cost 1 inf + 0
274.066 * * [simplify]: Extracting #1: cost 3 inf + 0
274.066 * * [simplify]: Extracting #2: cost 18 inf + 0
274.066 * * [simplify]: Extracting #3: cost 44 inf + 0
274.066 * * [simplify]: Extracting #4: cost 86 inf + 2
274.067 * * [simplify]: Extracting #5: cost 164 inf + 44
274.070 * * [simplify]: Extracting #6: cost 142 inf + 4662
274.084 * * [simplify]: Extracting #7: cost 40 inf + 30099
274.105 * * [simplify]: Extracting #8: cost 2 inf + 39709
274.117 * * [simplify]: Extracting #9: cost 0 inf + 39075
274.128 * * [simplify]: Extracting #10: cost 0 inf + 38995
274.145 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))
274.145 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (+ phi1 phi2) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))))
274.146 * * * * [progress]: [ 306 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
274.146 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
274.147 * * [simplify]: iters left: 6 (51 enodes)
274.173 * * [simplify]: iters left: 5 (244 enodes)
274.242 * * [simplify]: Extracting #0: cost 1 inf + 0
274.242 * * [simplify]: Extracting #1: cost 3 inf + 0
274.242 * * [simplify]: Extracting #2: cost 6 inf + 0
274.242 * * [simplify]: Extracting #3: cost 56 inf + 0
274.242 * * [simplify]: Extracting #4: cost 130 inf + 0
274.243 * * [simplify]: Extracting #5: cost 206 inf + 0
274.244 * * [simplify]: Extracting #6: cost 278 inf + 1052
274.246 * * [simplify]: Extracting #7: cost 191 inf + 18478
274.252 * * [simplify]: Extracting #8: cost 130 inf + 38357
274.261 * * [simplify]: Extracting #9: cost 95 inf + 51854
274.281 * * [simplify]: Extracting #10: cost 56 inf + 65073
274.307 * * [simplify]: Extracting #11: cost 34 inf + 80783
274.339 * * [simplify]: Extracting #12: cost 5 inf + 114708
274.374 * * [simplify]: Extracting #13: cost 0 inf + 123113
274.409 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
274.409 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
274.410 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
274.410 * * [simplify]: iters left: 6 (24 enodes)
274.416 * * [simplify]: iters left: 5 (107 enodes)
274.448 * * [simplify]: iters left: 4 (319 enodes)
274.660 * * [simplify]: Extracting #0: cost 1 inf + 0
274.660 * * [simplify]: Extracting #1: cost 3 inf + 0
274.660 * * [simplify]: Extracting #2: cost 41 inf + 0
274.661 * * [simplify]: Extracting #3: cost 305 inf + 0
274.664 * * [simplify]: Extracting #4: cost 478 inf + 85
274.685 * * [simplify]: Extracting #5: cost 375 inf + 64359
274.776 * * [simplify]: Extracting #6: cost 22 inf + 214524
274.859 * * [simplify]: Extracting #7: cost 0 inf + 210790
274.959 * * [simplify]: Extracting #8: cost 0 inf + 210510
275.011 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))
275.011 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))))
275.012 * * * * [progress]: [ 307 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
275.012 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
275.012 * * [simplify]: iters left: 6 (52 enodes)
275.033 * * [simplify]: iters left: 5 (253 enodes)
275.111 * * [simplify]: Extracting #0: cost 1 inf + 0
275.111 * * [simplify]: Extracting #1: cost 3 inf + 0
275.111 * * [simplify]: Extracting #2: cost 6 inf + 0
275.111 * * [simplify]: Extracting #3: cost 60 inf + 0
275.111 * * [simplify]: Extracting #4: cost 153 inf + 0
275.112 * * [simplify]: Extracting #5: cost 220 inf + 44
275.113 * * [simplify]: Extracting #6: cost 249 inf + 6384
275.117 * * [simplify]: Extracting #7: cost 192 inf + 16867
275.127 * * [simplify]: Extracting #8: cost 133 inf + 35343
275.142 * * [simplify]: Extracting #9: cost 55 inf + 69083
275.156 * * [simplify]: Extracting #10: cost 33 inf + 85105
275.187 * * [simplify]: Extracting #11: cost 2 inf + 121520
275.213 * * [simplify]: Extracting #12: cost 1 inf + 123585
275.243 * * [simplify]: Extracting #13: cost 0 inf + 125650
275.269 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ lambda2 lambda1)))))
275.269 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ lambda2 lambda1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
275.269 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
275.270 * * [simplify]: iters left: 6 (25 enodes)
275.282 * * [simplify]: iters left: 5 (111 enodes)
275.325 * * [simplify]: iters left: 4 (316 enodes)
275.494 * * [simplify]: Extracting #0: cost 1 inf + 0
275.494 * * [simplify]: Extracting #1: cost 3 inf + 0
275.494 * * [simplify]: Extracting #2: cost 67 inf + 0
275.495 * * [simplify]: Extracting #3: cost 325 inf + 0
275.498 * * [simplify]: Extracting #4: cost 427 inf + 249
275.516 * * [simplify]: Extracting #5: cost 310 inf + 74227
275.570 * * [simplify]: Extracting #6: cost 31 inf + 187661
275.621 * * [simplify]: Extracting #7: cost 0 inf + 193957
275.688 * * [simplify]: Extracting #8: cost 0 inf + 193717
275.749 * [simplify]: Simplified to (sqrt (* (* (+ phi2 phi1) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
275.749 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ lambda2 lambda1))))) (sqrt (* (* (+ phi2 phi1) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))))
275.750 * * * * [progress]: [ 308 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
275.750 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
275.751 * * [simplify]: iters left: 6 (52 enodes)
275.775 * * [simplify]: iters left: 5 (253 enodes)
275.883 * * [simplify]: Extracting #0: cost 1 inf + 0
275.883 * * [simplify]: Extracting #1: cost 3 inf + 0
275.883 * * [simplify]: Extracting #2: cost 6 inf + 0
275.883 * * [simplify]: Extracting #3: cost 62 inf + 0
275.884 * * [simplify]: Extracting #4: cost 151 inf + 0
275.885 * * [simplify]: Extracting #5: cost 215 inf + 86
275.888 * * [simplify]: Extracting #6: cost 250 inf + 5576
275.894 * * [simplify]: Extracting #7: cost 197 inf + 15049
275.904 * * [simplify]: Extracting #8: cost 139 inf + 32493
275.923 * * [simplify]: Extracting #9: cost 69 inf + 61586
275.947 * * [simplify]: Extracting #10: cost 48 inf + 72042
275.987 * * [simplify]: Extracting #11: cost 14 inf + 106452
276.032 * * [simplify]: Extracting #12: cost 1 inf + 122377
276.079 * * [simplify]: Extracting #13: cost 0 inf + 124482
276.126 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ lambda2 lambda1)))))
276.127 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ lambda2 lambda1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
276.129 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
276.129 * * [simplify]: iters left: 6 (25 enodes)
276.135 * * [simplify]: iters left: 5 (111 enodes)
276.158 * * [simplify]: iters left: 4 (314 enodes)
276.323 * * [simplify]: Extracting #0: cost 1 inf + 0
276.324 * * [simplify]: Extracting #1: cost 3 inf + 0
276.324 * * [simplify]: Extracting #2: cost 59 inf + 0
276.325 * * [simplify]: Extracting #3: cost 294 inf + 0
276.328 * * [simplify]: Extracting #4: cost 378 inf + 818
276.350 * * [simplify]: Extracting #5: cost 280 inf + 64444
276.387 * * [simplify]: Extracting #6: cost 9 inf + 170512
276.441 * * [simplify]: Extracting #7: cost 0 inf + 166176
276.516 * * [simplify]: Extracting #8: cost 0 inf + 166016
276.569 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (cbrt (+ lambda1 lambda2))))
276.569 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (cbrt (+ lambda1 lambda2)))))))
276.570 * * * * [progress]: [ 309 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
276.570 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
276.570 * * [simplify]: iters left: 6 (46 enodes)
276.585 * * [simplify]: iters left: 5 (217 enodes)
276.672 * * [simplify]: Extracting #0: cost 1 inf + 0
276.672 * * [simplify]: Extracting #1: cost 3 inf + 0
276.672 * * [simplify]: Extracting #2: cost 6 inf + 0
276.672 * * [simplify]: Extracting #3: cost 54 inf + 0
276.673 * * [simplify]: Extracting #4: cost 119 inf + 0
276.674 * * [simplify]: Extracting #5: cost 164 inf + 44
276.675 * * [simplify]: Extracting #6: cost 223 inf + 1359
276.677 * * [simplify]: Extracting #7: cost 210 inf + 3480
276.682 * * [simplify]: Extracting #8: cost 157 inf + 13668
276.694 * * [simplify]: Extracting #9: cost 101 inf + 36613
276.716 * * [simplify]: Extracting #10: cost 47 inf + 56543
276.737 * * [simplify]: Extracting #11: cost 28 inf + 69041
276.756 * * [simplify]: Extracting #12: cost 2 inf + 98691
276.784 * * [simplify]: Extracting #13: cost 0 inf + 102381
276.824 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))
276.824 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
276.826 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))
276.826 * * [simplify]: iters left: 6 (20 enodes)
276.835 * * [simplify]: iters left: 5 (89 enodes)
276.856 * * [simplify]: iters left: 4 (244 enodes)
276.947 * * [simplify]: Extracting #0: cost 1 inf + 0
276.947 * * [simplify]: Extracting #1: cost 3 inf + 0
276.947 * * [simplify]: Extracting #2: cost 35 inf + 0
276.947 * * [simplify]: Extracting #3: cost 165 inf + 0
276.948 * * [simplify]: Extracting #4: cost 221 inf + 169
276.952 * * [simplify]: Extracting #5: cost 210 inf + 22223
276.981 * * [simplify]: Extracting #6: cost 39 inf + 80677
277.022 * * [simplify]: Extracting #7: cost 0 inf + 90391
277.063 * * [simplify]: Extracting #8: cost 0 inf + 90231
277.085 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (+ phi1 phi2))))
277.086 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (+ phi1 phi2)))))))
277.086 * * * * [progress]: [ 310 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
277.086 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
277.087 * * [simplify]: iters left: 6 (51 enodes)
277.100 * * [simplify]: iters left: 5 (245 enodes)
277.166 * * [simplify]: Extracting #0: cost 1 inf + 0
277.166 * * [simplify]: Extracting #1: cost 3 inf + 0
277.166 * * [simplify]: Extracting #2: cost 10 inf + 0
277.166 * * [simplify]: Extracting #3: cost 74 inf + 0
277.167 * * [simplify]: Extracting #4: cost 137 inf + 1
277.167 * * [simplify]: Extracting #5: cost 185 inf + 249
277.168 * * [simplify]: Extracting #6: cost 241 inf + 2417
277.171 * * [simplify]: Extracting #7: cost 170 inf + 22038
277.179 * * [simplify]: Extracting #8: cost 95 inf + 49305
277.199 * * [simplify]: Extracting #9: cost 50 inf + 65662
277.234 * * [simplify]: Extracting #10: cost 8 inf + 103072
277.267 * * [simplify]: Extracting #11: cost 1 inf + 114127
277.300 * * [simplify]: Extracting #12: cost 0 inf + 116152
277.346 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
277.346 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
277.347 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
277.348 * * [simplify]: iters left: 6 (23 enodes)
277.358 * * [simplify]: iters left: 5 (102 enodes)
277.395 * * [simplify]: iters left: 4 (261 enodes)
277.529 * * [simplify]: Extracting #0: cost 1 inf + 0
277.529 * * [simplify]: Extracting #1: cost 3 inf + 0
277.529 * * [simplify]: Extracting #2: cost 33 inf + 0
277.530 * * [simplify]: Extracting #3: cost 142 inf + 0
277.532 * * [simplify]: Extracting #4: cost 221 inf + 371
277.544 * * [simplify]: Extracting #5: cost 216 inf + 26700
277.564 * * [simplify]: Extracting #6: cost 29 inf + 91913
277.598 * * [simplify]: Extracting #7: cost 0 inf + 98330
277.623 * * [simplify]: Extracting #8: cost 0 inf + 97610
277.664 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))))))
277.664 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2)))))))))
277.665 * * * * [progress]: [ 311 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
277.665 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
277.666 * * [simplify]: iters left: 6 (46 enodes)
277.680 * * [simplify]: iters left: 5 (217 enodes)
277.738 * * [simplify]: Extracting #0: cost 1 inf + 0
277.738 * * [simplify]: Extracting #1: cost 3 inf + 0
277.738 * * [simplify]: Extracting #2: cost 10 inf + 0
277.738 * * [simplify]: Extracting #3: cost 66 inf + 0
277.739 * * [simplify]: Extracting #4: cost 117 inf + 44
277.740 * * [simplify]: Extracting #5: cost 149 inf + 1066
277.742 * * [simplify]: Extracting #6: cost 206 inf + 3546
277.746 * * [simplify]: Extracting #7: cost 155 inf + 14390
277.755 * * [simplify]: Extracting #8: cost 124 inf + 27962
277.772 * * [simplify]: Extracting #9: cost 82 inf + 44551
277.791 * * [simplify]: Extracting #10: cost 37 inf + 61279
277.821 * * [simplify]: Extracting #11: cost 5 inf + 90506
277.857 * * [simplify]: Extracting #12: cost 0 inf + 96111
277.894 * * [simplify]: Extracting #13: cost 0 inf + 96071
277.928 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))))))
277.929 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
277.929 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
277.929 * * [simplify]: iters left: 6 (19 enodes)
277.933 * * [simplify]: iters left: 5 (84 enodes)
277.951 * * [simplify]: iters left: 4 (204 enodes)
278.030 * * [simplify]: Extracting #0: cost 1 inf + 0
278.030 * * [simplify]: Extracting #1: cost 3 inf + 0
278.030 * * [simplify]: Extracting #2: cost 23 inf + 0
278.030 * * [simplify]: Extracting #3: cost 69 inf + 0
278.030 * * [simplify]: Extracting #4: cost 113 inf + 44
278.031 * * [simplify]: Extracting #5: cost 174 inf + 1382
278.038 * * [simplify]: Extracting #6: cost 75 inf + 27460
278.049 * * [simplify]: Extracting #7: cost 7 inf + 47791
278.062 * * [simplify]: Extracting #8: cost 0 inf + 48572
278.074 * * [simplify]: Extracting #9: cost 0 inf + 48092
278.086 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
278.086 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))))
278.087 * * * * [progress]: [ 312 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
278.087 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
278.088 * * [simplify]: iters left: 6 (51 enodes)
278.109 * * [simplify]: iters left: 5 (245 enodes)
278.193 * * [simplify]: Extracting #0: cost 1 inf + 0
278.194 * * [simplify]: Extracting #1: cost 3 inf + 0
278.194 * * [simplify]: Extracting #2: cost 10 inf + 0
278.194 * * [simplify]: Extracting #3: cost 74 inf + 0
278.194 * * [simplify]: Extracting #4: cost 137 inf + 1
278.195 * * [simplify]: Extracting #5: cost 186 inf + 207
278.197 * * [simplify]: Extracting #6: cost 240 inf + 2739
278.206 * * [simplify]: Extracting #7: cost 165 inf + 24174
278.225 * * [simplify]: Extracting #8: cost 99 inf + 48036
278.246 * * [simplify]: Extracting #9: cost 53 inf + 64467
278.270 * * [simplify]: Extracting #10: cost 23 inf + 87657
278.294 * * [simplify]: Extracting #11: cost 2 inf + 111822
278.317 * * [simplify]: Extracting #12: cost 0 inf + 114792
278.341 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))
278.341 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
278.341 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
278.342 * * [simplify]: iters left: 6 (23 enodes)
278.347 * * [simplify]: iters left: 5 (102 enodes)
278.372 * * [simplify]: iters left: 4 (261 enodes)
278.509 * * [simplify]: Extracting #0: cost 1 inf + 0
278.509 * * [simplify]: Extracting #1: cost 3 inf + 0
278.509 * * [simplify]: Extracting #2: cost 33 inf + 0
278.509 * * [simplify]: Extracting #3: cost 142 inf + 0
278.510 * * [simplify]: Extracting #4: cost 221 inf + 371
278.516 * * [simplify]: Extracting #5: cost 216 inf + 26700
278.555 * * [simplify]: Extracting #6: cost 29 inf + 91913
278.580 * * [simplify]: Extracting #7: cost 0 inf + 98330
278.613 * * [simplify]: Extracting #8: cost 0 inf + 97610
278.656 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))))))
278.656 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2)))))))))
278.657 * * * * [progress]: [ 313 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
278.657 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
278.658 * * [simplify]: iters left: 6 (46 enodes)
278.679 * * [simplify]: iters left: 5 (217 enodes)
278.737 * * [simplify]: Extracting #0: cost 1 inf + 0
278.738 * * [simplify]: Extracting #1: cost 3 inf + 0
278.738 * * [simplify]: Extracting #2: cost 10 inf + 0
278.738 * * [simplify]: Extracting #3: cost 65 inf + 0
278.738 * * [simplify]: Extracting #4: cost 117 inf + 44
278.738 * * [simplify]: Extracting #5: cost 150 inf + 904
278.739 * * [simplify]: Extracting #6: cost 210 inf + 3138
278.741 * * [simplify]: Extracting #7: cost 187 inf + 7682
278.744 * * [simplify]: Extracting #8: cost 149 inf + 15725
278.749 * * [simplify]: Extracting #9: cost 96 inf + 37228
278.759 * * [simplify]: Extracting #10: cost 45 inf + 57256
278.781 * * [simplify]: Extracting #11: cost 14 inf + 83081
278.817 * * [simplify]: Extracting #12: cost 0 inf + 96751
278.853 * * [simplify]: Extracting #13: cost 0 inf + 96471
278.894 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))))))
278.894 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
278.895 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
278.896 * * [simplify]: iters left: 6 (19 enodes)
278.904 * * [simplify]: iters left: 5 (84 enodes)
278.933 * * [simplify]: iters left: 4 (204 enodes)
279.000 * * [simplify]: Extracting #0: cost 1 inf + 0
279.001 * * [simplify]: Extracting #1: cost 3 inf + 0
279.001 * * [simplify]: Extracting #2: cost 23 inf + 0
279.001 * * [simplify]: Extracting #3: cost 69 inf + 0
279.001 * * [simplify]: Extracting #4: cost 113 inf + 44
279.002 * * [simplify]: Extracting #5: cost 174 inf + 1382
279.007 * * [simplify]: Extracting #6: cost 75 inf + 27460
279.023 * * [simplify]: Extracting #7: cost 7 inf + 47791
279.046 * * [simplify]: Extracting #8: cost 0 inf + 48572
279.059 * * [simplify]: Extracting #9: cost 0 inf + 48092
279.076 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
279.077 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))))
279.077 * * * * [progress]: [ 314 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
279.078 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
279.079 * * [simplify]: iters left: 6 (47 enodes)
279.097 * * [simplify]: iters left: 5 (226 enodes)
279.156 * * [simplify]: Extracting #0: cost 1 inf + 0
279.156 * * [simplify]: Extracting #1: cost 3 inf + 0
279.156 * * [simplify]: Extracting #2: cost 6 inf + 0
279.156 * * [simplify]: Extracting #3: cost 54 inf + 0
279.156 * * [simplify]: Extracting #4: cost 123 inf + 0
279.157 * * [simplify]: Extracting #5: cost 188 inf + 0
279.158 * * [simplify]: Extracting #6: cost 254 inf + 1138
279.159 * * [simplify]: Extracting #7: cost 225 inf + 8197
279.162 * * [simplify]: Extracting #8: cost 162 inf + 19377
279.171 * * [simplify]: Extracting #9: cost 107 inf + 33049
279.188 * * [simplify]: Extracting #10: cost 63 inf + 52537
279.205 * * [simplify]: Extracting #11: cost 36 inf + 71575
279.229 * * [simplify]: Extracting #12: cost 4 inf + 101375
279.251 * * [simplify]: Extracting #13: cost 1 inf + 105730
279.293 * * [simplify]: Extracting #14: cost 0 inf + 107435
279.335 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))))
279.335 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
279.336 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
279.337 * * [simplify]: iters left: 6 (22 enodes)
279.343 * * [simplify]: iters left: 5 (101 enodes)
279.370 * * [simplify]: iters left: 4 (317 enodes)
279.575 * * [simplify]: Extracting #0: cost 1 inf + 0
279.575 * * [simplify]: Extracting #1: cost 3 inf + 0
279.575 * * [simplify]: Extracting #2: cost 37 inf + 0
279.576 * * [simplify]: Extracting #3: cost 288 inf + 0
279.579 * * [simplify]: Extracting #4: cost 444 inf + 248
279.585 * * [simplify]: Extracting #5: cost 464 inf + 9801
279.613 * * [simplify]: Extracting #6: cost 198 inf + 112456
279.694 * * [simplify]: Extracting #7: cost 3 inf + 195971
279.789 * * [simplify]: Extracting #8: cost 0 inf + 191783
279.854 * * [simplify]: Extracting #9: cost 0 inf + 191383
279.919 * * [simplify]: Extracting #10: cost 0 inf + 191303
280.005 * * [simplify]: Extracting #11: cost 0 inf + 191263
280.068 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))
280.068 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))))))
280.069 * * * * [progress]: [ 315 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
280.069 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
280.069 * * [simplify]: iters left: 6 (48 enodes)
280.082 * * [simplify]: iters left: 5 (235 enodes)
280.175 * * [simplify]: Extracting #0: cost 1 inf + 0
280.175 * * [simplify]: Extracting #1: cost 3 inf + 0
280.175 * * [simplify]: Extracting #2: cost 6 inf + 0
280.176 * * [simplify]: Extracting #3: cost 58 inf + 0
280.176 * * [simplify]: Extracting #4: cost 146 inf + 0
280.177 * * [simplify]: Extracting #5: cost 196 inf + 454
280.179 * * [simplify]: Extracting #6: cost 236 inf + 4359
280.184 * * [simplify]: Extracting #7: cost 215 inf + 10410
280.190 * * [simplify]: Extracting #8: cost 168 inf + 20156
280.202 * * [simplify]: Extracting #9: cost 105 inf + 38085
280.227 * * [simplify]: Extracting #10: cost 51 inf + 64562
280.262 * * [simplify]: Extracting #11: cost 8 inf + 103652
280.294 * * [simplify]: Extracting #12: cost 0 inf + 110612
280.322 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
280.322 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
280.323 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
280.323 * * [simplify]: iters left: 6 (23 enodes)
280.334 * * [simplify]: iters left: 5 (105 enodes)
280.361 * * [simplify]: iters left: 4 (314 enodes)
280.517 * * [simplify]: Extracting #0: cost 1 inf + 0
280.517 * * [simplify]: Extracting #1: cost 3 inf + 0
280.517 * * [simplify]: Extracting #2: cost 63 inf + 0
280.517 * * [simplify]: Extracting #3: cost 302 inf + 0
280.519 * * [simplify]: Extracting #4: cost 385 inf + 292
280.521 * * [simplify]: Extracting #5: cost 425 inf + 6487
280.541 * * [simplify]: Extracting #6: cost 200 inf + 101814
280.618 * * [simplify]: Extracting #7: cost 3 inf + 179436
280.708 * * [simplify]: Extracting #8: cost 0 inf + 173968
280.793 * * [simplify]: Extracting #9: cost 0 inf + 173848
280.846 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))))
280.846 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))))))
280.846 * * * * [progress]: [ 316 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
280.847 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
280.847 * * [simplify]: iters left: 6 (48 enodes)
280.860 * * [simplify]: iters left: 5 (235 enodes)
280.956 * * [simplify]: Extracting #0: cost 1 inf + 0
280.956 * * [simplify]: Extracting #1: cost 3 inf + 0
280.956 * * [simplify]: Extracting #2: cost 6 inf + 0
280.956 * * [simplify]: Extracting #3: cost 60 inf + 0
280.957 * * [simplify]: Extracting #4: cost 144 inf + 0
280.958 * * [simplify]: Extracting #5: cost 193 inf + 332
280.960 * * [simplify]: Extracting #6: cost 234 inf + 4155
280.965 * * [simplify]: Extracting #7: cost 214 inf + 10175
280.971 * * [simplify]: Extracting #8: cost 175 inf + 16809
280.980 * * [simplify]: Extracting #9: cost 103 inf + 38781
280.999 * * [simplify]: Extracting #10: cost 41 inf + 70910
281.031 * * [simplify]: Extracting #11: cost 5 inf + 103679
281.066 * * [simplify]: Extracting #12: cost 0 inf + 108284
281.092 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
281.092 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
281.093 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
281.093 * * [simplify]: iters left: 6 (23 enodes)
281.100 * * [simplify]: iters left: 5 (105 enodes)
281.126 * * [simplify]: iters left: 4 (312 enodes)
281.324 * * [simplify]: Extracting #0: cost 1 inf + 0
281.324 * * [simplify]: Extracting #1: cost 3 inf + 0
281.324 * * [simplify]: Extracting #2: cost 55 inf + 0
281.325 * * [simplify]: Extracting #3: cost 274 inf + 0
281.326 * * [simplify]: Extracting #4: cost 347 inf + 496
281.329 * * [simplify]: Extracting #5: cost 378 inf + 7749
281.358 * * [simplify]: Extracting #6: cost 191 inf + 88320
281.407 * * [simplify]: Extracting #7: cost 7 inf + 158694
281.460 * * [simplify]: Extracting #8: cost 0 inf + 153910
281.523 * * [simplify]: Extracting #9: cost 0 inf + 153830
281.598 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))))
281.598 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))))))))
281.599 * * * * [progress]: [ 317 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
281.600 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
281.601 * * [simplify]: iters left: 6 (42 enodes)
281.623 * * [simplify]: iters left: 5 (199 enodes)
281.673 * * [simplify]: Extracting #0: cost 1 inf + 0
281.673 * * [simplify]: Extracting #1: cost 3 inf + 0
281.673 * * [simplify]: Extracting #2: cost 6 inf + 0
281.674 * * [simplify]: Extracting #3: cost 55 inf + 0
281.674 * * [simplify]: Extracting #4: cost 117 inf + 0
281.674 * * [simplify]: Extracting #5: cost 151 inf + 44
281.675 * * [simplify]: Extracting #6: cost 207 inf + 1072
281.676 * * [simplify]: Extracting #7: cost 202 inf + 2939
281.678 * * [simplify]: Extracting #8: cost 167 inf + 7805
281.682 * * [simplify]: Extracting #9: cost 109 inf + 28016
281.705 * * [simplify]: Extracting #10: cost 12 inf + 84509
281.729 * * [simplify]: Extracting #11: cost 0 inf + 91628
281.755 * * [simplify]: Extracting #12: cost 0 inf + 91348
281.788 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cbrt (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))))))
281.788 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cbrt (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
281.789 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
281.789 * * [simplify]: iters left: 6 (18 enodes)
281.793 * * [simplify]: iters left: 5 (83 enodes)
281.810 * * [simplify]: iters left: 4 (242 enodes)
281.931 * * [simplify]: Extracting #0: cost 1 inf + 0
281.931 * * [simplify]: Extracting #1: cost 3 inf + 0
281.931 * * [simplify]: Extracting #2: cost 29 inf + 0
281.932 * * [simplify]: Extracting #3: cost 140 inf + 0
281.933 * * [simplify]: Extracting #4: cost 186 inf + 250
281.935 * * [simplify]: Extracting #5: cost 241 inf + 3742
281.945 * * [simplify]: Extracting #6: cost 169 inf + 28116
281.975 * * [simplify]: Extracting #7: cost 24 inf + 73792
282.006 * * [simplify]: Extracting #8: cost 0 inf + 77907
282.039 * * [simplify]: Extracting #9: cost 0 inf + 76787
282.064 * * [simplify]: Extracting #10: cost 0 inf + 76747
282.096 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))
282.096 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))))))
282.097 * * * * [progress]: [ 318 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
282.097 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
282.097 * * [simplify]: iters left: 6 (47 enodes)
282.110 * * [simplify]: iters left: 5 (227 enodes)
282.171 * * [simplify]: Extracting #0: cost 1 inf + 0
282.171 * * [simplify]: Extracting #1: cost 3 inf + 0
282.171 * * [simplify]: Extracting #2: cost 10 inf + 0
282.172 * * [simplify]: Extracting #3: cost 72 inf + 0
282.172 * * [simplify]: Extracting #4: cost 129 inf + 42
282.173 * * [simplify]: Extracting #5: cost 165 inf + 331
282.175 * * [simplify]: Extracting #6: cost 219 inf + 2729
282.178 * * [simplify]: Extracting #7: cost 206 inf + 7195
282.184 * * [simplify]: Extracting #8: cost 139 inf + 22194
282.192 * * [simplify]: Extracting #9: cost 69 inf + 47424
282.203 * * [simplify]: Extracting #10: cost 34 inf + 69388
282.231 * * [simplify]: Extracting #11: cost 5 inf + 94789
282.272 * * [simplify]: Extracting #12: cost 1 inf + 101529
282.303 * * [simplify]: Extracting #13: cost 0 inf + 103274
282.327 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))))))))
282.328 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
282.329 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
282.329 * * [simplify]: iters left: 6 (21 enodes)
282.340 * * [simplify]: iters left: 5 (96 enodes)
282.377 * * [simplify]: iters left: 4 (259 enodes)
282.517 * * [simplify]: Extracting #0: cost 1 inf + 0
282.517 * * [simplify]: Extracting #1: cost 3 inf + 0
282.517 * * [simplify]: Extracting #2: cost 28 inf + 0
282.517 * * [simplify]: Extracting #3: cost 107 inf + 0
282.519 * * [simplify]: Extracting #4: cost 178 inf + 290
282.521 * * [simplify]: Extracting #5: cost 252 inf + 904
282.530 * * [simplify]: Extracting #6: cost 165 inf + 26596
282.555 * * [simplify]: Extracting #7: cost 20 inf + 73568
282.578 * * [simplify]: Extracting #8: cost 0 inf + 80063
282.612 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))
282.612 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2)))))))))) (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))
282.613 * * * * [progress]: [ 319 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
282.613 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
282.614 * * [simplify]: iters left: 6 (42 enodes)
282.635 * * [simplify]: iters left: 5 (199 enodes)
282.684 * * [simplify]: Extracting #0: cost 1 inf + 0
282.684 * * [simplify]: Extracting #1: cost 3 inf + 0
282.684 * * [simplify]: Extracting #2: cost 10 inf + 0
282.685 * * [simplify]: Extracting #3: cost 67 inf + 0
282.685 * * [simplify]: Extracting #4: cost 121 inf + 86
282.685 * * [simplify]: Extracting #5: cost 139 inf + 1554
282.686 * * [simplify]: Extracting #6: cost 200 inf + 2932
282.688 * * [simplify]: Extracting #7: cost 206 inf + 3100
282.692 * * [simplify]: Extracting #8: cost 121 inf + 26079
282.706 * * [simplify]: Extracting #9: cost 29 inf + 75307
282.734 * * [simplify]: Extracting #10: cost 4 inf + 90063
282.754 * * [simplify]: Extracting #11: cost 0 inf + 91413
282.792 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))))
282.792 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
282.793 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
282.793 * * [simplify]: iters left: 6 (17 enodes)
282.801 * * [simplify]: iters left: 5 (78 enodes)
282.830 * * [simplify]: iters left: 4 (202 enodes)
282.901 * * [simplify]: Extracting #0: cost 1 inf + 0
282.901 * * [simplify]: Extracting #1: cost 3 inf + 0
282.901 * * [simplify]: Extracting #2: cost 18 inf + 0
282.901 * * [simplify]: Extracting #3: cost 44 inf + 0
282.901 * * [simplify]: Extracting #4: cost 86 inf + 2
282.902 * * [simplify]: Extracting #5: cost 164 inf + 44
282.903 * * [simplify]: Extracting #6: cost 142 inf + 4662
282.909 * * [simplify]: Extracting #7: cost 40 inf + 30099
282.921 * * [simplify]: Extracting #8: cost 2 inf + 39709
282.942 * * [simplify]: Extracting #9: cost 0 inf + 39075
282.961 * * [simplify]: Extracting #10: cost 0 inf + 38995
282.971 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))
282.971 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (+ phi1 phi2) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))))
282.972 * * * * [progress]: [ 320 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
282.972 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
282.973 * * [simplify]: iters left: 6 (47 enodes)
282.987 * * [simplify]: iters left: 5 (227 enodes)
283.042 * * [simplify]: Extracting #0: cost 1 inf + 0
283.042 * * [simplify]: Extracting #1: cost 3 inf + 0
283.042 * * [simplify]: Extracting #2: cost 10 inf + 0
283.042 * * [simplify]: Extracting #3: cost 72 inf + 0
283.042 * * [simplify]: Extracting #4: cost 129 inf + 42
283.043 * * [simplify]: Extracting #5: cost 164 inf + 494
283.044 * * [simplify]: Extracting #6: cost 213 inf + 4061
283.045 * * [simplify]: Extracting #7: cost 210 inf + 5794
283.049 * * [simplify]: Extracting #8: cost 139 inf + 23124
283.063 * * [simplify]: Extracting #9: cost 66 inf + 50677
283.079 * * [simplify]: Extracting #10: cost 34 inf + 73368
283.097 * * [simplify]: Extracting #11: cost 5 inf + 101624
283.135 * * [simplify]: Extracting #12: cost 1 inf + 102413
283.155 * * [simplify]: Extracting #13: cost 0 inf + 103245
283.193 * * [simplify]: Extracting #14: cost 0 inf + 102954
283.231 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))))
283.231 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
283.233 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
283.233 * * [simplify]: iters left: 6 (21 enodes)
283.238 * * [simplify]: iters left: 5 (96 enodes)
283.256 * * [simplify]: iters left: 4 (259 enodes)
283.379 * * [simplify]: Extracting #0: cost 1 inf + 0
283.379 * * [simplify]: Extracting #1: cost 3 inf + 0
283.379 * * [simplify]: Extracting #2: cost 28 inf + 0
283.379 * * [simplify]: Extracting #3: cost 107 inf + 0
283.386 * * [simplify]: Extracting #4: cost 178 inf + 290
283.389 * * [simplify]: Extracting #5: cost 252 inf + 904
283.398 * * [simplify]: Extracting #6: cost 165 inf + 26596
283.424 * * [simplify]: Extracting #7: cost 20 inf + 73568
283.454 * * [simplify]: Extracting #8: cost 0 inf + 80063
283.483 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))
283.484 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))
283.484 * * * * [progress]: [ 321 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
283.485 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
283.485 * * [simplify]: iters left: 6 (42 enodes)
283.496 * * [simplify]: iters left: 5 (199 enodes)
283.558 * * [simplify]: Extracting #0: cost 1 inf + 0
283.558 * * [simplify]: Extracting #1: cost 3 inf + 0
283.558 * * [simplify]: Extracting #2: cost 10 inf + 0
283.558 * * [simplify]: Extracting #3: cost 66 inf + 0
283.558 * * [simplify]: Extracting #4: cost 122 inf + 44
283.559 * * [simplify]: Extracting #5: cost 145 inf + 782
283.560 * * [simplify]: Extracting #6: cost 201 inf + 2770
283.561 * * [simplify]: Extracting #7: cost 205 inf + 3141
283.565 * * [simplify]: Extracting #8: cost 121 inf + 26183
283.583 * * [simplify]: Extracting #9: cost 33 inf + 74232
283.611 * * [simplify]: Extracting #10: cost 5 inf + 89979
283.636 * * [simplify]: Extracting #11: cost 0 inf + 91813
283.671 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))))
283.671 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
283.672 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
283.672 * * [simplify]: iters left: 6 (17 enodes)
283.680 * * [simplify]: iters left: 5 (78 enodes)
283.704 * * [simplify]: iters left: 4 (202 enodes)
283.783 * * [simplify]: Extracting #0: cost 1 inf + 0
283.783 * * [simplify]: Extracting #1: cost 3 inf + 0
283.783 * * [simplify]: Extracting #2: cost 18 inf + 0
283.783 * * [simplify]: Extracting #3: cost 44 inf + 0
283.784 * * [simplify]: Extracting #4: cost 86 inf + 2
283.784 * * [simplify]: Extracting #5: cost 164 inf + 44
283.785 * * [simplify]: Extracting #6: cost 142 inf + 4662
283.793 * * [simplify]: Extracting #7: cost 40 inf + 30099
283.810 * * [simplify]: Extracting #8: cost 2 inf + 39709
283.821 * * [simplify]: Extracting #9: cost 0 inf + 39075
283.833 * * [simplify]: Extracting #10: cost 0 inf + 38995
283.850 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))
283.850 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (+ phi1 phi2) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))))
283.851 * * * * [progress]: [ 322 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
283.851 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
283.852 * * [simplify]: iters left: 6 (51 enodes)
283.875 * * [simplify]: iters left: 5 (244 enodes)
283.939 * * [simplify]: Extracting #0: cost 1 inf + 0
283.939 * * [simplify]: Extracting #1: cost 3 inf + 0
283.939 * * [simplify]: Extracting #2: cost 6 inf + 0
283.940 * * [simplify]: Extracting #3: cost 56 inf + 0
283.940 * * [simplify]: Extracting #4: cost 130 inf + 0
283.940 * * [simplify]: Extracting #5: cost 207 inf + 0
283.941 * * [simplify]: Extracting #6: cost 276 inf + 1476
283.943 * * [simplify]: Extracting #7: cost 195 inf + 16446
283.950 * * [simplify]: Extracting #8: cost 132 inf + 38980
283.960 * * [simplify]: Extracting #9: cost 94 inf + 51694
283.980 * * [simplify]: Extracting #10: cost 55 inf + 65498
283.998 * * [simplify]: Extracting #11: cost 34 inf + 80703
284.019 * * [simplify]: Extracting #12: cost 5 inf + 114708
284.064 * * [simplify]: Extracting #13: cost 0 inf + 123113
284.114 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
284.114 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
284.115 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
284.115 * * [simplify]: iters left: 6 (24 enodes)
284.126 * * [simplify]: iters left: 5 (107 enodes)
284.151 * * [simplify]: iters left: 4 (319 enodes)
284.376 * * [simplify]: Extracting #0: cost 1 inf + 0
284.376 * * [simplify]: Extracting #1: cost 3 inf + 0
284.377 * * [simplify]: Extracting #2: cost 41 inf + 0
284.378 * * [simplify]: Extracting #3: cost 305 inf + 0
284.381 * * [simplify]: Extracting #4: cost 478 inf + 85
284.403 * * [simplify]: Extracting #5: cost 375 inf + 64359
284.485 * * [simplify]: Extracting #6: cost 22 inf + 214524
284.567 * * [simplify]: Extracting #7: cost 0 inf + 210790
284.629 * * [simplify]: Extracting #8: cost 0 inf + 210510
284.702 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))
284.703 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))))
284.704 * * * * [progress]: [ 323 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
284.704 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
284.705 * * [simplify]: iters left: 6 (52 enodes)
284.734 * * [simplify]: iters left: 5 (253 enodes)
284.798 * * [simplify]: Extracting #0: cost 1 inf + 0
284.799 * * [simplify]: Extracting #1: cost 3 inf + 0
284.799 * * [simplify]: Extracting #2: cost 6 inf + 0
284.799 * * [simplify]: Extracting #3: cost 60 inf + 0
284.799 * * [simplify]: Extracting #4: cost 153 inf + 0
284.800 * * [simplify]: Extracting #5: cost 221 inf + 44
284.804 * * [simplify]: Extracting #6: cost 250 inf + 6142
284.810 * * [simplify]: Extracting #7: cost 193 inf + 16665
284.818 * * [simplify]: Extracting #8: cost 130 inf + 36394
284.830 * * [simplify]: Extracting #9: cost 55 inf + 69203
284.849 * * [simplify]: Extracting #10: cost 35 inf + 83295
284.892 * * [simplify]: Extracting #11: cost 2 inf + 121680
284.932 * * [simplify]: Extracting #12: cost 1 inf + 123745
284.962 * * [simplify]: Extracting #13: cost 0 inf + 125810
284.988 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))))
284.988 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
284.989 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
284.989 * * [simplify]: iters left: 6 (25 enodes)
285.000 * * [simplify]: iters left: 5 (111 enodes)
285.036 * * [simplify]: iters left: 4 (316 enodes)
285.219 * * [simplify]: Extracting #0: cost 1 inf + 0
285.219 * * [simplify]: Extracting #1: cost 3 inf + 0
285.220 * * [simplify]: Extracting #2: cost 67 inf + 0
285.221 * * [simplify]: Extracting #3: cost 325 inf + 0
285.224 * * [simplify]: Extracting #4: cost 427 inf + 249
285.253 * * [simplify]: Extracting #5: cost 310 inf + 74227
285.305 * * [simplify]: Extracting #6: cost 31 inf + 187661
285.378 * * [simplify]: Extracting #7: cost 0 inf + 193957
285.459 * * [simplify]: Extracting #8: cost 0 inf + 193717
285.520 * [simplify]: Simplified to (sqrt (* (* (+ phi2 phi1) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
285.520 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (+ phi2 phi1) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))))
285.521 * * * * [progress]: [ 324 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
285.522 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
285.522 * * [simplify]: iters left: 6 (52 enodes)
285.552 * * [simplify]: iters left: 5 (253 enodes)
285.607 * * [simplify]: Extracting #0: cost 1 inf + 0
285.607 * * [simplify]: Extracting #1: cost 3 inf + 0
285.607 * * [simplify]: Extracting #2: cost 6 inf + 0
285.607 * * [simplify]: Extracting #3: cost 62 inf + 0
285.608 * * [simplify]: Extracting #4: cost 151 inf + 0
285.608 * * [simplify]: Extracting #5: cost 216 inf + 86
285.610 * * [simplify]: Extracting #6: cost 249 inf + 5657
285.613 * * [simplify]: Extracting #7: cost 199 inf + 14365
285.626 * * [simplify]: Extracting #8: cost 139 inf + 30974
285.646 * * [simplify]: Extracting #9: cost 64 inf + 63573
285.669 * * [simplify]: Extracting #10: cost 34 inf + 82752
285.691 * * [simplify]: Extracting #11: cost 2 inf + 119192
285.730 * * [simplify]: Extracting #12: cost 1 inf + 121257
285.775 * * [simplify]: Extracting #13: cost 0 inf + 123322
285.823 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
285.823 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
285.824 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
285.824 * * [simplify]: iters left: 6 (25 enodes)
285.836 * * [simplify]: iters left: 5 (111 enodes)
285.873 * * [simplify]: iters left: 4 (314 enodes)
286.096 * * [simplify]: Extracting #0: cost 1 inf + 0
286.096 * * [simplify]: Extracting #1: cost 3 inf + 0
286.096 * * [simplify]: Extracting #2: cost 59 inf + 0
286.098 * * [simplify]: Extracting #3: cost 294 inf + 0
286.100 * * [simplify]: Extracting #4: cost 378 inf + 818
286.113 * * [simplify]: Extracting #5: cost 280 inf + 64444
286.173 * * [simplify]: Extracting #6: cost 9 inf + 170512
286.225 * * [simplify]: Extracting #7: cost 0 inf + 166176
286.275 * * [simplify]: Extracting #8: cost 0 inf + 166016
286.330 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (cbrt (+ lambda1 lambda2))))
286.330 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (cbrt (+ lambda1 lambda2)))))))
286.330 * * * * [progress]: [ 325 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
286.331 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
286.331 * * [simplify]: iters left: 6 (46 enodes)
286.343 * * [simplify]: iters left: 5 (217 enodes)
286.408 * * [simplify]: Extracting #0: cost 1 inf + 0
286.408 * * [simplify]: Extracting #1: cost 3 inf + 0
286.408 * * [simplify]: Extracting #2: cost 6 inf + 0
286.408 * * [simplify]: Extracting #3: cost 54 inf + 0
286.408 * * [simplify]: Extracting #4: cost 119 inf + 0
286.409 * * [simplify]: Extracting #5: cost 165 inf + 44
286.410 * * [simplify]: Extracting #6: cost 223 inf + 1278
286.411 * * [simplify]: Extracting #7: cost 195 inf + 6067
286.415 * * [simplify]: Extracting #8: cost 153 inf + 14636
286.427 * * [simplify]: Extracting #9: cost 98 inf + 37266
286.445 * * [simplify]: Extracting #10: cost 48 inf + 56491
286.469 * * [simplify]: Extracting #11: cost 27 inf + 70386
286.504 * * [simplify]: Extracting #12: cost 2 inf + 98851
286.533 * * [simplify]: Extracting #13: cost 0 inf + 102541
286.573 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))))))
286.573 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
286.575 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))
286.575 * * [simplify]: iters left: 6 (20 enodes)
286.584 * * [simplify]: iters left: 5 (89 enodes)
286.616 * * [simplify]: iters left: 4 (244 enodes)
286.734 * * [simplify]: Extracting #0: cost 1 inf + 0
286.734 * * [simplify]: Extracting #1: cost 3 inf + 0
286.734 * * [simplify]: Extracting #2: cost 35 inf + 0
286.735 * * [simplify]: Extracting #3: cost 165 inf + 0
286.736 * * [simplify]: Extracting #4: cost 221 inf + 169
286.744 * * [simplify]: Extracting #5: cost 210 inf + 22223
286.781 * * [simplify]: Extracting #6: cost 39 inf + 80677
286.822 * * [simplify]: Extracting #7: cost 0 inf + 90391
286.861 * * [simplify]: Extracting #8: cost 0 inf + 90231
286.905 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (+ phi1 phi2))))
286.905 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (+ phi1 phi2)))))))
286.906 * * * * [progress]: [ 326 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
286.906 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
286.907 * * [simplify]: iters left: 6 (51 enodes)
286.926 * * [simplify]: iters left: 5 (245 enodes)
286.989 * * [simplify]: Extracting #0: cost 1 inf + 0
286.989 * * [simplify]: Extracting #1: cost 3 inf + 0
286.989 * * [simplify]: Extracting #2: cost 10 inf + 0
286.990 * * [simplify]: Extracting #3: cost 74 inf + 0
286.990 * * [simplify]: Extracting #4: cost 137 inf + 1
286.990 * * [simplify]: Extracting #5: cost 186 inf + 249
286.991 * * [simplify]: Extracting #6: cost 241 inf + 2417
286.995 * * [simplify]: Extracting #7: cost 171 inf + 20632
287.008 * * [simplify]: Extracting #8: cost 124 inf + 39442
287.017 * * [simplify]: Extracting #9: cost 91 inf + 50329
287.030 * * [simplify]: Extracting #10: cost 51 inf + 66157
287.058 * * [simplify]: Extracting #11: cost 10 inf + 101782
287.087 * * [simplify]: Extracting #12: cost 0 inf + 116352
287.111 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))))) (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))
287.111 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))))) (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
287.111 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
287.112 * * [simplify]: iters left: 6 (23 enodes)
287.117 * * [simplify]: iters left: 5 (102 enodes)
287.153 * * [simplify]: iters left: 4 (261 enodes)
287.308 * * [simplify]: Extracting #0: cost 1 inf + 0
287.308 * * [simplify]: Extracting #1: cost 3 inf + 0
287.308 * * [simplify]: Extracting #2: cost 33 inf + 0
287.309 * * [simplify]: Extracting #3: cost 142 inf + 0
287.310 * * [simplify]: Extracting #4: cost 221 inf + 371
287.319 * * [simplify]: Extracting #5: cost 216 inf + 26700
287.355 * * [simplify]: Extracting #6: cost 29 inf + 91913
287.400 * * [simplify]: Extracting #7: cost 0 inf + 98330
287.448 * * [simplify]: Extracting #8: cost 0 inf + 97610
287.485 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))))))
287.485 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))))) (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (sqrt (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2)))))))))
287.486 * * * * [progress]: [ 327 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
287.486 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
287.487 * * [simplify]: iters left: 6 (46 enodes)
287.499 * * [simplify]: iters left: 5 (217 enodes)
287.569 * * [simplify]: Extracting #0: cost 1 inf + 0
287.569 * * [simplify]: Extracting #1: cost 3 inf + 0
287.569 * * [simplify]: Extracting #2: cost 10 inf + 0
287.570 * * [simplify]: Extracting #3: cost 66 inf + 0
287.570 * * [simplify]: Extracting #4: cost 117 inf + 44
287.571 * * [simplify]: Extracting #5: cost 153 inf + 700
287.573 * * [simplify]: Extracting #6: cost 211 inf + 2976
287.576 * * [simplify]: Extracting #7: cost 187 inf + 7602
287.581 * * [simplify]: Extracting #8: cost 149 inf + 16449
287.592 * * [simplify]: Extracting #9: cost 99 inf + 34597
287.610 * * [simplify]: Extracting #10: cost 42 inf + 58114
287.634 * * [simplify]: Extracting #11: cost 21 inf + 73226
287.667 * * [simplify]: Extracting #12: cost 2 inf + 92821
287.705 * * [simplify]: Extracting #13: cost 0 inf + 96311
287.745 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1)))))))
287.745 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
287.747 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
287.747 * * [simplify]: iters left: 6 (19 enodes)
287.756 * * [simplify]: iters left: 5 (84 enodes)
287.784 * * [simplify]: iters left: 4 (204 enodes)
287.838 * * [simplify]: Extracting #0: cost 1 inf + 0
287.839 * * [simplify]: Extracting #1: cost 3 inf + 0
287.839 * * [simplify]: Extracting #2: cost 23 inf + 0
287.839 * * [simplify]: Extracting #3: cost 69 inf + 0
287.839 * * [simplify]: Extracting #4: cost 113 inf + 44
287.840 * * [simplify]: Extracting #5: cost 174 inf + 1382
287.845 * * [simplify]: Extracting #6: cost 75 inf + 27460
287.856 * * [simplify]: Extracting #7: cost 7 inf + 47791
287.878 * * [simplify]: Extracting #8: cost 0 inf + 48572
287.902 * * [simplify]: Extracting #9: cost 0 inf + 48092
287.925 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
287.925 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))))
287.926 * * * * [progress]: [ 328 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
287.927 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
287.927 * * [simplify]: iters left: 6 (51 enodes)
287.956 * * [simplify]: iters left: 5 (245 enodes)
288.032 * * [simplify]: Extracting #0: cost 1 inf + 0
288.033 * * [simplify]: Extracting #1: cost 3 inf + 0
288.033 * * [simplify]: Extracting #2: cost 10 inf + 0
288.033 * * [simplify]: Extracting #3: cost 74 inf + 0
288.033 * * [simplify]: Extracting #4: cost 137 inf + 1
288.033 * * [simplify]: Extracting #5: cost 187 inf + 207
288.034 * * [simplify]: Extracting #6: cost 240 inf + 2739
288.038 * * [simplify]: Extracting #7: cost 165 inf + 22770
288.051 * * [simplify]: Extracting #8: cost 124 inf + 40242
288.059 * * [simplify]: Extracting #9: cost 93 inf + 49838
288.071 * * [simplify]: Extracting #10: cost 55 inf + 64097
288.088 * * [simplify]: Extracting #11: cost 25 inf + 86127
288.131 * * [simplify]: Extracting #12: cost 0 inf + 114992
288.176 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))
288.176 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
288.177 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
288.178 * * [simplify]: iters left: 6 (23 enodes)
288.189 * * [simplify]: iters left: 5 (102 enodes)
288.228 * * [simplify]: iters left: 4 (261 enodes)
288.352 * * [simplify]: Extracting #0: cost 1 inf + 0
288.352 * * [simplify]: Extracting #1: cost 3 inf + 0
288.352 * * [simplify]: Extracting #2: cost 33 inf + 0
288.353 * * [simplify]: Extracting #3: cost 142 inf + 0
288.355 * * [simplify]: Extracting #4: cost 221 inf + 371
288.364 * * [simplify]: Extracting #5: cost 216 inf + 26700
288.402 * * [simplify]: Extracting #6: cost 29 inf + 91913
288.443 * * [simplify]: Extracting #7: cost 0 inf + 98330
288.471 * * [simplify]: Extracting #8: cost 0 inf + 97610
288.495 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))))))
288.495 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2)))))))))
288.495 * * * * [progress]: [ 329 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
288.496 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
288.496 * * [simplify]: iters left: 6 (46 enodes)
288.508 * * [simplify]: iters left: 5 (217 enodes)
288.554 * * [simplify]: Extracting #0: cost 1 inf + 0
288.554 * * [simplify]: Extracting #1: cost 3 inf + 0
288.554 * * [simplify]: Extracting #2: cost 10 inf + 0
288.554 * * [simplify]: Extracting #3: cost 65 inf + 0
288.554 * * [simplify]: Extracting #4: cost 117 inf + 44
288.555 * * [simplify]: Extracting #5: cost 151 inf + 904
288.556 * * [simplify]: Extracting #6: cost 210 inf + 3138
288.557 * * [simplify]: Extracting #7: cost 187 inf + 7682
288.563 * * [simplify]: Extracting #8: cost 147 inf + 17093
288.575 * * [simplify]: Extracting #9: cost 97 inf + 35827
288.593 * * [simplify]: Extracting #10: cost 43 inf + 58129
288.615 * * [simplify]: Extracting #11: cost 21 inf + 73306
288.633 * * [simplify]: Extracting #12: cost 2 inf + 92501
288.660 * * [simplify]: Extracting #13: cost 0 inf + 95911
288.695 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1)))))))
288.695 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
288.696 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
288.697 * * [simplify]: iters left: 6 (19 enodes)
288.706 * * [simplify]: iters left: 5 (84 enodes)
288.739 * * [simplify]: iters left: 4 (204 enodes)
288.818 * * [simplify]: Extracting #0: cost 1 inf + 0
288.818 * * [simplify]: Extracting #1: cost 3 inf + 0
288.818 * * [simplify]: Extracting #2: cost 23 inf + 0
288.818 * * [simplify]: Extracting #3: cost 69 inf + 0
288.819 * * [simplify]: Extracting #4: cost 113 inf + 44
288.820 * * [simplify]: Extracting #5: cost 174 inf + 1382
288.830 * * [simplify]: Extracting #6: cost 75 inf + 27460
288.851 * * [simplify]: Extracting #7: cost 7 inf + 47791
288.876 * * [simplify]: Extracting #8: cost 0 inf + 48572
288.900 * * [simplify]: Extracting #9: cost 0 inf + 48092
288.923 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
288.923 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))))
288.924 * * * * [progress]: [ 330 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
288.925 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
288.926 * * [simplify]: iters left: 6 (48 enodes)
288.947 * * [simplify]: iters left: 5 (228 enodes)
288.995 * * [simplify]: Extracting #0: cost 1 inf + 0
288.995 * * [simplify]: Extracting #1: cost 3 inf + 0
288.995 * * [simplify]: Extracting #2: cost 6 inf + 0
288.995 * * [simplify]: Extracting #3: cost 48 inf + 0
288.996 * * [simplify]: Extracting #4: cost 112 inf + 0
288.996 * * [simplify]: Extracting #5: cost 178 inf + 0
288.997 * * [simplify]: Extracting #6: cost 253 inf + 342
288.998 * * [simplify]: Extracting #7: cost 217 inf + 7216
289.002 * * [simplify]: Extracting #8: cost 123 inf + 28901
289.012 * * [simplify]: Extracting #9: cost 51 inf + 54623
289.040 * * [simplify]: Extracting #10: cost 15 inf + 85089
289.060 * * [simplify]: Extracting #11: cost 1 inf + 101039
289.085 * * [simplify]: Extracting #12: cost 0 inf + 102784
289.117 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))))
289.117 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
289.119 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
289.119 * * [simplify]: iters left: 6 (23 enodes)
289.130 * * [simplify]: iters left: 5 (103 enodes)
289.172 * * [simplify]: iters left: 4 (304 enodes)
289.394 * * [simplify]: Extracting #0: cost 1 inf + 0
289.394 * * [simplify]: Extracting #1: cost 3 inf + 0
289.394 * * [simplify]: Extracting #2: cost 37 inf + 0
289.396 * * [simplify]: Extracting #3: cost 253 inf + 0
289.398 * * [simplify]: Extracting #4: cost 415 inf + 248
289.404 * * [simplify]: Extracting #5: cost 388 inf + 19102
289.422 * * [simplify]: Extracting #6: cost 182 inf + 94027
289.481 * * [simplify]: Extracting #7: cost 4 inf + 179498
289.543 * * [simplify]: Extracting #8: cost 0 inf + 180665
289.601 * [simplify]: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
289.601 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))))
289.602 * * * * [progress]: [ 331 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
289.603 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
289.603 * * [simplify]: iters left: 6 (49 enodes)
289.630 * * [simplify]: iters left: 5 (237 enodes)
289.728 * * [simplify]: Extracting #0: cost 1 inf + 0
289.728 * * [simplify]: Extracting #1: cost 3 inf + 0
289.729 * * [simplify]: Extracting #2: cost 6 inf + 0
289.729 * * [simplify]: Extracting #3: cost 52 inf + 0
289.729 * * [simplify]: Extracting #4: cost 135 inf + 0
289.730 * * [simplify]: Extracting #5: cost 191 inf + 85
289.733 * * [simplify]: Extracting #6: cost 217 inf + 6306
289.738 * * [simplify]: Extracting #7: cost 193 inf + 13162
289.747 * * [simplify]: Extracting #8: cost 128 inf + 31139
289.762 * * [simplify]: Extracting #9: cost 72 inf + 52232
289.778 * * [simplify]: Extracting #10: cost 7 inf + 97706
289.816 * * [simplify]: Extracting #11: cost 0 inf + 104561
289.849 * * [simplify]: Extracting #12: cost 0 inf + 104401
289.872 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1))))))
289.872 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
289.873 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
289.873 * * [simplify]: iters left: 6 (24 enodes)
289.885 * * [simplify]: iters left: 5 (106 enodes)
289.917 * * [simplify]: iters left: 4 (300 enodes)
290.130 * * [simplify]: Extracting #0: cost 1 inf + 0
290.130 * * [simplify]: Extracting #1: cost 3 inf + 0
290.130 * * [simplify]: Extracting #2: cost 63 inf + 0
290.131 * * [simplify]: Extracting #3: cost 268 inf + 0
290.134 * * [simplify]: Extracting #4: cost 357 inf + 290
290.138 * * [simplify]: Extracting #5: cost 387 inf + 5217
290.162 * * [simplify]: Extracting #6: cost 197 inf + 78220
290.210 * * [simplify]: Extracting #7: cost 7 inf + 156212
290.280 * * [simplify]: Extracting #8: cost 0 inf + 160198
290.328 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))))
290.328 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)))))))
290.329 * * * * [progress]: [ 332 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
290.329 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
290.330 * * [simplify]: iters left: 6 (49 enodes)
290.344 * * [simplify]: iters left: 5 (237 enodes)
290.411 * * [simplify]: Extracting #0: cost 1 inf + 0
290.411 * * [simplify]: Extracting #1: cost 3 inf + 0
290.411 * * [simplify]: Extracting #2: cost 6 inf + 0
290.411 * * [simplify]: Extracting #3: cost 54 inf + 0
290.412 * * [simplify]: Extracting #4: cost 133 inf + 0
290.412 * * [simplify]: Extracting #5: cost 186 inf + 166
290.413 * * [simplify]: Extracting #6: cost 215 inf + 6221
290.418 * * [simplify]: Extracting #7: cost 192 inf + 13246
290.429 * * [simplify]: Extracting #8: cost 110 inf + 34861
290.448 * * [simplify]: Extracting #9: cost 47 inf + 58812
290.477 * * [simplify]: Extracting #10: cost 7 inf + 93658
290.501 * * [simplify]: Extracting #11: cost 0 inf + 102113
290.541 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))))
290.541 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
290.543 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
290.543 * * [simplify]: iters left: 6 (24 enodes)
290.554 * * [simplify]: iters left: 5 (106 enodes)
290.593 * * [simplify]: iters left: 4 (298 enodes)
290.821 * * [simplify]: Extracting #0: cost 1 inf + 0
290.821 * * [simplify]: Extracting #1: cost 3 inf + 0
290.821 * * [simplify]: Extracting #2: cost 55 inf + 0
290.822 * * [simplify]: Extracting #3: cost 255 inf + 0
290.824 * * [simplify]: Extracting #4: cost 329 inf + 493
290.826 * * [simplify]: Extracting #5: cost 339 inf + 9942
290.843 * * [simplify]: Extracting #6: cost 188 inf + 70445
290.894 * * [simplify]: Extracting #7: cost 5 inf + 143569
290.954 * * [simplify]: Extracting #8: cost 0 inf + 146227
290.991 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))))
290.992 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))))
290.992 * * * * [progress]: [ 333 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
290.992 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
290.993 * * [simplify]: iters left: 6 (43 enodes)
291.015 * * [simplify]: iters left: 5 (200 enodes)
291.071 * * [simplify]: Extracting #0: cost 1 inf + 0
291.071 * * [simplify]: Extracting #1: cost 3 inf + 0
291.071 * * [simplify]: Extracting #2: cost 6 inf + 0
291.071 * * [simplify]: Extracting #3: cost 46 inf + 0
291.072 * * [simplify]: Extracting #4: cost 101 inf + 0
291.072 * * [simplify]: Extracting #5: cost 136 inf + 44
291.074 * * [simplify]: Extracting #6: cost 191 inf + 1682
291.076 * * [simplify]: Extracting #7: cost 186 inf + 3919
291.083 * * [simplify]: Extracting #8: cost 108 inf + 23228
291.100 * * [simplify]: Extracting #9: cost 30 inf + 65963
291.117 * * [simplify]: Extracting #10: cost 2 inf + 83908
291.151 * * [simplify]: Extracting #11: cost 0 inf + 83212
291.177 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))))))
291.177 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
291.178 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))
291.178 * * [simplify]: iters left: 6 (19 enodes)
291.183 * * [simplify]: iters left: 5 (85 enodes)
291.199 * * [simplify]: iters left: 4 (229 enodes)
291.330 * * [simplify]: Extracting #0: cost 1 inf + 0
291.330 * * [simplify]: Extracting #1: cost 3 inf + 0
291.330 * * [simplify]: Extracting #2: cost 31 inf + 0
291.331 * * [simplify]: Extracting #3: cost 136 inf + 0
291.332 * * [simplify]: Extracting #4: cost 184 inf + 494
291.335 * * [simplify]: Extracting #5: cost 220 inf + 5659
291.343 * * [simplify]: Extracting #6: cost 157 inf + 26343
291.360 * * [simplify]: Extracting #7: cost 23 inf + 66660
291.381 * * [simplify]: Extracting #8: cost 0 inf + 76535
291.412 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))
291.412 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
291.413 * * * * [progress]: [ 334 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
291.413 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
291.413 * * [simplify]: iters left: 6 (48 enodes)
291.425 * * [simplify]: iters left: 5 (228 enodes)
291.474 * * [simplify]: Extracting #0: cost 1 inf + 0
291.474 * * [simplify]: Extracting #1: cost 3 inf + 0
291.474 * * [simplify]: Extracting #2: cost 10 inf + 0
291.474 * * [simplify]: Extracting #3: cost 62 inf + 0
291.475 * * [simplify]: Extracting #4: cost 115 inf + 42
291.475 * * [simplify]: Extracting #5: cost 155 inf + 207
291.476 * * [simplify]: Extracting #6: cost 210 inf + 2411
291.478 * * [simplify]: Extracting #7: cost 187 inf + 9960
291.480 * * [simplify]: Extracting #8: cost 147 inf + 16315
291.486 * * [simplify]: Extracting #9: cost 86 inf + 37603
291.497 * * [simplify]: Extracting #10: cost 34 inf + 60498
291.512 * * [simplify]: Extracting #11: cost 11 inf + 83433
291.534 * * [simplify]: Extracting #12: cost 0 inf + 96428
291.561 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))
291.561 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
291.563 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
291.563 * * [simplify]: iters left: 6 (22 enodes)
291.573 * * [simplify]: iters left: 5 (98 enodes)
291.608 * * [simplify]: iters left: 4 (240 enodes)
291.714 * * [simplify]: Extracting #0: cost 1 inf + 0
291.714 * * [simplify]: Extracting #1: cost 3 inf + 0
291.714 * * [simplify]: Extracting #2: cost 27 inf + 0
291.714 * * [simplify]: Extracting #3: cost 108 inf + 0
291.716 * * [simplify]: Extracting #4: cost 168 inf + 454
291.718 * * [simplify]: Extracting #5: cost 231 inf + 1112
291.726 * * [simplify]: Extracting #6: cost 151 inf + 25992
291.743 * * [simplify]: Extracting #7: cost 6 inf + 72681
291.769 * * [simplify]: Extracting #8: cost 0 inf + 75379
291.806 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))
291.806 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))))
291.807 * * * * [progress]: [ 335 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
291.808 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
291.808 * * [simplify]: iters left: 6 (43 enodes)
291.828 * * [simplify]: iters left: 5 (200 enodes)
291.874 * * [simplify]: Extracting #0: cost 1 inf + 0
291.874 * * [simplify]: Extracting #1: cost 3 inf + 0
291.874 * * [simplify]: Extracting #2: cost 10 inf + 0
291.875 * * [simplify]: Extracting #3: cost 54 inf + 0
291.875 * * [simplify]: Extracting #4: cost 95 inf + 86
291.875 * * [simplify]: Extracting #5: cost 117 inf + 1349
291.876 * * [simplify]: Extracting #6: cost 179 inf + 2934
291.877 * * [simplify]: Extracting #7: cost 181 inf + 4039
291.880 * * [simplify]: Extracting #8: cost 112 inf + 20034
291.890 * * [simplify]: Extracting #9: cost 48 inf + 44455
291.922 * * [simplify]: Extracting #10: cost 7 inf + 73720
291.941 * * [simplify]: Extracting #11: cost 0 inf + 78387
291.959 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))))
291.959 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
291.960 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
291.960 * * [simplify]: iters left: 6 (18 enodes)
291.964 * * [simplify]: iters left: 5 (80 enodes)
291.978 * * [simplify]: iters left: 4 (183 enodes)
292.046 * * [simplify]: Extracting #0: cost 1 inf + 0
292.047 * * [simplify]: Extracting #1: cost 3 inf + 0
292.047 * * [simplify]: Extracting #2: cost 17 inf + 0
292.047 * * [simplify]: Extracting #3: cost 49 inf + 0
292.047 * * [simplify]: Extracting #4: cost 83 inf + 44
292.047 * * [simplify]: Extracting #5: cost 153 inf + 130
292.048 * * [simplify]: Extracting #6: cost 134 inf + 3871
292.054 * * [simplify]: Extracting #7: cost 31 inf + 28425
292.064 * * [simplify]: Extracting #8: cost 0 inf + 37339
292.076 * * [simplify]: Extracting #9: cost 0 inf + 37299
292.087 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))
292.087 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ phi1 phi2) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))))))
292.088 * * * * [progress]: [ 336 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
292.088 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
292.088 * * [simplify]: iters left: 6 (48 enodes)
292.100 * * [simplify]: iters left: 5 (228 enodes)
292.174 * * [simplify]: Extracting #0: cost 1 inf + 0
292.174 * * [simplify]: Extracting #1: cost 3 inf + 0
292.174 * * [simplify]: Extracting #2: cost 10 inf + 0
292.174 * * [simplify]: Extracting #3: cost 62 inf + 0
292.174 * * [simplify]: Extracting #4: cost 115 inf + 42
292.175 * * [simplify]: Extracting #5: cost 154 inf + 249
292.176 * * [simplify]: Extracting #6: cost 211 inf + 2611
292.180 * * [simplify]: Extracting #7: cost 188 inf + 10079
292.182 * * [simplify]: Extracting #8: cost 145 inf + 16939
292.191 * * [simplify]: Extracting #9: cost 86 inf + 37742
292.211 * * [simplify]: Extracting #10: cost 34 inf + 61298
292.240 * * [simplify]: Extracting #11: cost 11 inf + 84233
292.270 * * [simplify]: Extracting #12: cost 0 inf + 97228
292.290 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))
292.290 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
292.291 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
292.291 * * [simplify]: iters left: 6 (22 enodes)
292.296 * * [simplify]: iters left: 5 (98 enodes)
292.329 * * [simplify]: iters left: 4 (240 enodes)
292.440 * * [simplify]: Extracting #0: cost 1 inf + 0
292.441 * * [simplify]: Extracting #1: cost 3 inf + 0
292.441 * * [simplify]: Extracting #2: cost 27 inf + 0
292.441 * * [simplify]: Extracting #3: cost 108 inf + 0
292.442 * * [simplify]: Extracting #4: cost 168 inf + 454
292.444 * * [simplify]: Extracting #5: cost 231 inf + 1112
292.453 * * [simplify]: Extracting #6: cost 151 inf + 25992
292.485 * * [simplify]: Extracting #7: cost 6 inf + 72681
292.524 * * [simplify]: Extracting #8: cost 0 inf + 75379
292.564 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))
292.564 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))))
292.565 * * * * [progress]: [ 337 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
292.566 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
292.566 * * [simplify]: iters left: 6 (43 enodes)
292.579 * * [simplify]: iters left: 5 (200 enodes)
292.636 * * [simplify]: Extracting #0: cost 1 inf + 0
292.636 * * [simplify]: Extracting #1: cost 3 inf + 0
292.636 * * [simplify]: Extracting #2: cost 10 inf + 0
292.636 * * [simplify]: Extracting #3: cost 53 inf + 0
292.636 * * [simplify]: Extracting #4: cost 96 inf + 44
292.637 * * [simplify]: Extracting #5: cost 119 inf + 1104
292.639 * * [simplify]: Extracting #6: cost 179 inf + 2934
292.641 * * [simplify]: Extracting #7: cost 176 inf + 4607
292.648 * * [simplify]: Extracting #8: cost 106 inf + 21486
292.664 * * [simplify]: Extracting #9: cost 45 inf + 45753
292.681 * * [simplify]: Extracting #10: cost 8 inf + 73908
292.700 * * [simplify]: Extracting #11: cost 0 inf + 78707
292.728 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))))
292.728 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
292.729 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
292.730 * * [simplify]: iters left: 6 (18 enodes)
292.738 * * [simplify]: iters left: 5 (80 enodes)
292.767 * * [simplify]: iters left: 4 (183 enodes)
292.855 * * [simplify]: Extracting #0: cost 1 inf + 0
292.855 * * [simplify]: Extracting #1: cost 3 inf + 0
292.855 * * [simplify]: Extracting #2: cost 17 inf + 0
292.856 * * [simplify]: Extracting #3: cost 49 inf + 0
292.856 * * [simplify]: Extracting #4: cost 83 inf + 44
292.856 * * [simplify]: Extracting #5: cost 153 inf + 130
292.857 * * [simplify]: Extracting #6: cost 134 inf + 3871
292.863 * * [simplify]: Extracting #7: cost 31 inf + 28425
292.873 * * [simplify]: Extracting #8: cost 0 inf + 37339
292.882 * * [simplify]: Extracting #9: cost 0 inf + 37299
292.898 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))
292.898 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (+ phi1 phi2) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))))))
292.899 * * * * [progress]: [ 338 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
292.900 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
292.900 * * [simplify]: iters left: 6 (52 enodes)
292.928 * * [simplify]: iters left: 5 (254 enodes)
293.007 * * [simplify]: Extracting #0: cost 1 inf + 0
293.007 * * [simplify]: Extracting #1: cost 3 inf + 0
293.007 * * [simplify]: Extracting #2: cost 6 inf + 0
293.007 * * [simplify]: Extracting #3: cost 56 inf + 0
293.008 * * [simplify]: Extracting #4: cost 130 inf + 0
293.009 * * [simplify]: Extracting #5: cost 210 inf + 0
293.010 * * [simplify]: Extracting #6: cost 302 inf + 1051
293.015 * * [simplify]: Extracting #7: cost 244 inf + 12873
293.023 * * [simplify]: Extracting #8: cost 161 inf + 30124
293.040 * * [simplify]: Extracting #9: cost 102 inf + 51829
293.068 * * [simplify]: Extracting #10: cost 53 inf + 73185
293.088 * * [simplify]: Extracting #11: cost 18 inf + 109140
293.114 * * [simplify]: Extracting #12: cost 1 inf + 127925
293.142 * * [simplify]: Extracting #13: cost 0 inf + 129910
293.169 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))
293.170 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
293.170 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
293.171 * * [simplify]: iters left: 6 (25 enodes)
293.177 * * [simplify]: iters left: 5 (117 enodes)
293.213 * * [simplify]: iters left: 4 (379 enodes)
293.462 * * [simplify]: Extracting #0: cost 1 inf + 0
293.463 * * [simplify]: Extracting #1: cost 3 inf + 0
293.463 * * [simplify]: Extracting #2: cost 45 inf + 0
293.463 * * [simplify]: Extracting #3: cost 301 inf + 0
293.465 * * [simplify]: Extracting #4: cost 493 inf + 126
293.469 * * [simplify]: Extracting #5: cost 478 inf + 16511
293.507 * * [simplify]: Extracting #6: cost 240 inf + 116839
293.570 * * [simplify]: Extracting #7: cost 5 inf + 226799
293.648 * * [simplify]: Extracting #8: cost 0 inf + 228291
293.712 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))
293.712 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))))
293.713 * * * * [progress]: [ 339 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
293.713 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
293.714 * * [simplify]: iters left: 6 (53 enodes)
293.736 * * [simplify]: iters left: 5 (263 enodes)
293.807 * * [simplify]: Extracting #0: cost 1 inf + 0
293.807 * * [simplify]: Extracting #1: cost 3 inf + 0
293.807 * * [simplify]: Extracting #2: cost 6 inf + 0
293.807 * * [simplify]: Extracting #3: cost 60 inf + 0
293.808 * * [simplify]: Extracting #4: cost 153 inf + 0
293.809 * * [simplify]: Extracting #5: cost 224 inf + 44
293.811 * * [simplify]: Extracting #6: cost 283 inf + 4123
293.817 * * [simplify]: Extracting #7: cost 235 inf + 14864
293.828 * * [simplify]: Extracting #8: cost 145 inf + 37314
293.853 * * [simplify]: Extracting #9: cost 62 inf + 72461
293.897 * * [simplify]: Extracting #10: cost 8 inf + 125087
293.934 * * [simplify]: Extracting #11: cost 0 inf + 135967
293.964 * [simplify]: Simplified to (sqrt (+ (+ (* (* phi1 phi1) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (- (* phi2 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
293.965 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (+ (* (* phi1 phi1) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (- (* phi2 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
293.966 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
293.966 * * [simplify]: iters left: 6 (26 enodes)
293.975 * * [simplify]: iters left: 5 (121 enodes)
294.014 * * [simplify]: iters left: 4 (376 enodes)
294.272 * * [simplify]: Extracting #0: cost 1 inf + 0
294.272 * * [simplify]: Extracting #1: cost 3 inf + 0
294.273 * * [simplify]: Extracting #2: cost 70 inf + 0
294.274 * * [simplify]: Extracting #3: cost 325 inf + 0
294.278 * * [simplify]: Extracting #4: cost 445 inf + 978
294.285 * * [simplify]: Extracting #5: cost 458 inf + 12715
294.303 * * [simplify]: Extracting #6: cost 260 inf + 91255
294.381 * * [simplify]: Extracting #7: cost 8 inf + 210309
294.466 * * [simplify]: Extracting #8: cost 0 inf + 212918
294.547 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))))
294.547 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)))))))
294.548 * * * * [progress]: [ 340 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
294.549 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
294.549 * * [simplify]: iters left: 6 (53 enodes)
294.576 * * [simplify]: iters left: 5 (263 enodes)
294.692 * * [simplify]: Extracting #0: cost 1 inf + 0
294.692 * * [simplify]: Extracting #1: cost 3 inf + 0
294.693 * * [simplify]: Extracting #2: cost 6 inf + 0
294.693 * * [simplify]: Extracting #3: cost 62 inf + 0
294.693 * * [simplify]: Extracting #4: cost 151 inf + 0
294.694 * * [simplify]: Extracting #5: cost 220 inf + 44
294.697 * * [simplify]: Extracting #6: cost 278 inf + 4163
294.703 * * [simplify]: Extracting #7: cost 240 inf + 13938
294.711 * * [simplify]: Extracting #8: cost 151 inf + 35963
294.723 * * [simplify]: Extracting #9: cost 65 inf + 67436
294.750 * * [simplify]: Extracting #10: cost 7 inf + 125024
294.789 * * [simplify]: Extracting #11: cost 0 inf + 133319
294.831 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
294.831 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (+ (* (* phi1 phi1) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
294.832 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
294.833 * * [simplify]: iters left: 6 (26 enodes)
294.846 * * [simplify]: iters left: 5 (121 enodes)
294.896 * * [simplify]: iters left: 4 (374 enodes)
295.145 * * [simplify]: Extracting #0: cost 1 inf + 0
295.145 * * [simplify]: Extracting #1: cost 3 inf + 0
295.145 * * [simplify]: Extracting #2: cost 62 inf + 0
295.146 * * [simplify]: Extracting #3: cost 304 inf + 0
295.147 * * [simplify]: Extracting #4: cost 414 inf + 126
295.150 * * [simplify]: Extracting #5: cost 427 inf + 8931
295.166 * * [simplify]: Extracting #6: cost 232 inf + 85600
295.237 * * [simplify]: Extracting #7: cost 9 inf + 187108
295.301 * * [simplify]: Extracting #8: cost 0 inf + 190938
295.352 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
295.352 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
295.353 * * * * [progress]: [ 341 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
295.353 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
295.353 * * [simplify]: iters left: 6 (47 enodes)
295.366 * * [simplify]: iters left: 5 (227 enodes)
295.413 * * [simplify]: Extracting #0: cost 1 inf + 0
295.413 * * [simplify]: Extracting #1: cost 3 inf + 0
295.414 * * [simplify]: Extracting #2: cost 6 inf + 0
295.414 * * [simplify]: Extracting #3: cost 54 inf + 0
295.414 * * [simplify]: Extracting #4: cost 119 inf + 0
295.414 * * [simplify]: Extracting #5: cost 168 inf + 44
295.415 * * [simplify]: Extracting #6: cost 246 inf + 1399
295.417 * * [simplify]: Extracting #7: cost 219 inf + 6159
295.421 * * [simplify]: Extracting #8: cost 127 inf + 28060
295.433 * * [simplify]: Extracting #9: cost 73 inf + 48709
295.469 * * [simplify]: Extracting #10: cost 17 inf + 91935
295.497 * * [simplify]: Extracting #11: cost 1 inf + 108073
295.527 * * [simplify]: Extracting #12: cost 0 inf + 109938
295.557 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))
295.557 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
295.558 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))
295.558 * * [simplify]: iters left: 6 (21 enodes)
295.563 * * [simplify]: iters left: 5 (99 enodes)
295.585 * * [simplify]: iters left: 4 (304 enodes)
295.747 * * [simplify]: Extracting #0: cost 1 inf + 0
295.747 * * [simplify]: Extracting #1: cost 3 inf + 0
295.747 * * [simplify]: Extracting #2: cost 35 inf + 0
295.748 * * [simplify]: Extracting #3: cost 154 inf + 0
295.749 * * [simplify]: Extracting #4: cost 236 inf + 85
295.751 * * [simplify]: Extracting #5: cost 291 inf + 1965
295.757 * * [simplify]: Extracting #6: cost 214 inf + 15903
295.780 * * [simplify]: Extracting #7: cost 74 inf + 58979
295.809 * * [simplify]: Extracting #8: cost 9 inf + 91560
295.848 * * [simplify]: Extracting #9: cost 0 inf + 96793
295.873 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
295.873 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
295.873 * * * * [progress]: [ 342 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
295.874 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
295.874 * * [simplify]: iters left: 6 (52 enodes)
295.901 * * [simplify]: iters left: 5 (255 enodes)
295.988 * * [simplify]: Extracting #0: cost 1 inf + 0
295.988 * * [simplify]: Extracting #1: cost 3 inf + 0
295.988 * * [simplify]: Extracting #2: cost 10 inf + 0
295.988 * * [simplify]: Extracting #3: cost 74 inf + 0
295.988 * * [simplify]: Extracting #4: cost 137 inf + 1
295.989 * * [simplify]: Extracting #5: cost 189 inf + 248
295.990 * * [simplify]: Extracting #6: cost 262 inf + 3261
295.992 * * [simplify]: Extracting #7: cost 237 inf + 9959
295.995 * * [simplify]: Extracting #8: cost 172 inf + 22774
296.002 * * [simplify]: Extracting #9: cost 120 inf + 38698
296.024 * * [simplify]: Extracting #10: cost 59 inf + 66428
296.061 * * [simplify]: Extracting #11: cost 11 inf + 111434
296.107 * * [simplify]: Extracting #12: cost 1 inf + 122004
296.156 * * [simplify]: Extracting #13: cost 0 inf + 123989
296.204 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))
296.204 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
296.205 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
296.206 * * [simplify]: iters left: 6 (24 enodes)
296.219 * * [simplify]: iters left: 5 (112 enodes)
296.244 * * [simplify]: iters left: 4 (321 enodes)
296.407 * * [simplify]: Extracting #0: cost 1 inf + 0
296.407 * * [simplify]: Extracting #1: cost 3 inf + 0
296.408 * * [simplify]: Extracting #2: cost 33 inf + 0
296.408 * * [simplify]: Extracting #3: cost 143 inf + 0
296.416 * * [simplify]: Extracting #4: cost 244 inf + 332
296.420 * * [simplify]: Extracting #5: cost 305 inf + 1194
296.431 * * [simplify]: Extracting #6: cost 214 inf + 28516
296.472 * * [simplify]: Extracting #7: cost 21 inf + 98835
296.527 * * [simplify]: Extracting #8: cost 0 inf + 109421
296.582 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))
296.582 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))))
296.583 * * * * [progress]: [ 343 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
296.584 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
296.584 * * [simplify]: iters left: 6 (47 enodes)
296.604 * * [simplify]: iters left: 5 (227 enodes)
296.667 * * [simplify]: Extracting #0: cost 1 inf + 0
296.667 * * [simplify]: Extracting #1: cost 3 inf + 0
296.667 * * [simplify]: Extracting #2: cost 10 inf + 0
296.667 * * [simplify]: Extracting #3: cost 66 inf + 0
296.668 * * [simplify]: Extracting #4: cost 117 inf + 44
296.669 * * [simplify]: Extracting #5: cost 153 inf + 1186
296.671 * * [simplify]: Extracting #6: cost 235 inf + 2974
296.674 * * [simplify]: Extracting #7: cost 230 inf + 4732
296.682 * * [simplify]: Extracting #8: cost 134 inf + 26277
296.704 * * [simplify]: Extracting #9: cost 61 inf + 56536
296.738 * * [simplify]: Extracting #10: cost 5 inf + 100556
296.780 * * [simplify]: Extracting #11: cost 1 inf + 103403
296.823 * * [simplify]: Extracting #12: cost 0 inf + 104988
296.865 * * [simplify]: Extracting #13: cost 0 inf + 104948
296.909 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))
296.909 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
296.910 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))
296.910 * * [simplify]: iters left: 6 (20 enodes)
296.920 * * [simplify]: iters left: 5 (94 enodes)
296.946 * * [simplify]: iters left: 4 (264 enodes)
297.046 * * [simplify]: Extracting #0: cost 1 inf + 0
297.046 * * [simplify]: Extracting #1: cost 3 inf + 0
297.046 * * [simplify]: Extracting #2: cost 23 inf + 0
297.046 * * [simplify]: Extracting #3: cost 69 inf + 0
297.046 * * [simplify]: Extracting #4: cost 136 inf + 2
297.047 * * [simplify]: Extracting #5: cost 206 inf + 88
297.050 * * [simplify]: Extracting #6: cost 137 inf + 13807
297.062 * * [simplify]: Extracting #7: cost 13 inf + 49822
297.084 * * [simplify]: Extracting #8: cost 0 inf + 54976
297.102 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))
297.102 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))))))))
297.102 * * * * [progress]: [ 344 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
297.103 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
297.103 * * [simplify]: iters left: 6 (52 enodes)
297.117 * * [simplify]: iters left: 5 (255 enodes)
297.206 * * [simplify]: Extracting #0: cost 1 inf + 0
297.206 * * [simplify]: Extracting #1: cost 3 inf + 0
297.206 * * [simplify]: Extracting #2: cost 10 inf + 0
297.206 * * [simplify]: Extracting #3: cost 74 inf + 0
297.207 * * [simplify]: Extracting #4: cost 137 inf + 1
297.208 * * [simplify]: Extracting #5: cost 189 inf + 248
297.209 * * [simplify]: Extracting #6: cost 269 inf + 1968
297.212 * * [simplify]: Extracting #7: cost 240 inf + 9233
297.218 * * [simplify]: Extracting #8: cost 173 inf + 22330
297.229 * * [simplify]: Extracting #9: cost 120 inf + 38858
297.247 * * [simplify]: Extracting #10: cost 58 inf + 67552
297.269 * * [simplify]: Extracting #11: cost 11 inf + 112394
297.297 * * [simplify]: Extracting #12: cost 1 inf + 122964
297.344 * * [simplify]: Extracting #13: cost 0 inf + 124949
297.394 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))
297.394 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
297.395 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
297.395 * * [simplify]: iters left: 6 (24 enodes)
297.406 * * [simplify]: iters left: 5 (112 enodes)
297.434 * * [simplify]: iters left: 4 (321 enodes)
297.606 * * [simplify]: Extracting #0: cost 1 inf + 0
297.606 * * [simplify]: Extracting #1: cost 3 inf + 0
297.606 * * [simplify]: Extracting #2: cost 33 inf + 0
297.607 * * [simplify]: Extracting #3: cost 143 inf + 0
297.608 * * [simplify]: Extracting #4: cost 244 inf + 332
297.611 * * [simplify]: Extracting #5: cost 305 inf + 1194
297.622 * * [simplify]: Extracting #6: cost 214 inf + 28516
297.659 * * [simplify]: Extracting #7: cost 21 inf + 98835
297.693 * * [simplify]: Extracting #8: cost 0 inf + 109421
297.726 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))
297.726 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))))
297.726 * * * * [progress]: [ 345 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
297.727 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
297.727 * * [simplify]: iters left: 6 (47 enodes)
297.748 * * [simplify]: iters left: 5 (227 enodes)
297.815 * * [simplify]: Extracting #0: cost 1 inf + 0
297.815 * * [simplify]: Extracting #1: cost 3 inf + 0
297.815 * * [simplify]: Extracting #2: cost 10 inf + 0
297.815 * * [simplify]: Extracting #3: cost 65 inf + 0
297.815 * * [simplify]: Extracting #4: cost 116 inf + 86
297.816 * * [simplify]: Extracting #5: cost 147 inf + 1958
297.817 * * [simplify]: Extracting #6: cost 235 inf + 2934
297.819 * * [simplify]: Extracting #7: cost 228 inf + 4936
297.826 * * [simplify]: Extracting #8: cost 135 inf + 25556
297.844 * * [simplify]: Extracting #9: cost 64 inf + 53986
297.877 * * [simplify]: Extracting #10: cost 11 inf + 93366
297.904 * * [simplify]: Extracting #11: cost 1 inf + 103563
297.941 * * [simplify]: Extracting #12: cost 0 inf + 105348
297.969 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))
297.970 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
297.970 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))
297.970 * * [simplify]: iters left: 6 (20 enodes)
297.975 * * [simplify]: iters left: 5 (94 enodes)
297.999 * * [simplify]: iters left: 4 (264 enodes)
298.106 * * [simplify]: Extracting #0: cost 1 inf + 0
298.106 * * [simplify]: Extracting #1: cost 3 inf + 0
298.106 * * [simplify]: Extracting #2: cost 23 inf + 0
298.106 * * [simplify]: Extracting #3: cost 69 inf + 0
298.106 * * [simplify]: Extracting #4: cost 136 inf + 2
298.107 * * [simplify]: Extracting #5: cost 206 inf + 88
298.110 * * [simplify]: Extracting #6: cost 137 inf + 13807
298.126 * * [simplify]: Extracting #7: cost 13 inf + 49822
298.150 * * [simplify]: Extracting #8: cost 0 inf + 54976
298.165 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))
298.165 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))))))))
298.165 * * * * [progress]: [ 346 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
298.166 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
298.166 * * [simplify]: iters left: 6 (52 enodes)
298.180 * * [simplify]: iters left: 5 (254 enodes)
298.253 * * [simplify]: Extracting #0: cost 1 inf + 0
298.253 * * [simplify]: Extracting #1: cost 3 inf + 0
298.253 * * [simplify]: Extracting #2: cost 6 inf + 0
298.253 * * [simplify]: Extracting #3: cost 56 inf + 0
298.253 * * [simplify]: Extracting #4: cost 130 inf + 0
298.254 * * [simplify]: Extracting #5: cost 211 inf + 0
298.256 * * [simplify]: Extracting #6: cost 294 inf + 1134
298.259 * * [simplify]: Extracting #7: cost 248 inf + 10954
298.266 * * [simplify]: Extracting #8: cost 163 inf + 28829
298.275 * * [simplify]: Extracting #9: cost 104 inf + 49107
298.288 * * [simplify]: Extracting #10: cost 52 inf + 72878
298.303 * * [simplify]: Extracting #11: cost 40 inf + 81978
298.342 * * [simplify]: Extracting #12: cost 9 inf + 118713
298.393 * * [simplify]: Extracting #13: cost 1 inf + 129873
298.443 * * [simplify]: Extracting #14: cost 0 inf + 131938
298.495 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))
298.495 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
298.496 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
298.497 * * [simplify]: iters left: 6 (25 enodes)
298.508 * * [simplify]: iters left: 5 (117 enodes)
298.553 * * [simplify]: iters left: 4 (377 enodes)
298.756 * * [simplify]: Extracting #0: cost 1 inf + 0
298.756 * * [simplify]: Extracting #1: cost 3 inf + 0
298.756 * * [simplify]: Extracting #2: cost 46 inf + 0
298.757 * * [simplify]: Extracting #3: cost 320 inf + 0
298.759 * * [simplify]: Extracting #4: cost 506 inf + 207
298.765 * * [simplify]: Extracting #5: cost 525 inf + 12552
298.811 * * [simplify]: Extracting #6: cost 249 inf + 117912
298.907 * * [simplify]: Extracting #7: cost 4 inf + 237060
298.989 * * [simplify]: Extracting #8: cost 0 inf + 237950
299.056 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))
299.056 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))))
299.057 * * * * [progress]: [ 347 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
299.057 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
299.057 * * [simplify]: iters left: 6 (53 enodes)
299.072 * * [simplify]: iters left: 5 (263 enodes)
299.147 * * [simplify]: Extracting #0: cost 1 inf + 0
299.147 * * [simplify]: Extracting #1: cost 3 inf + 0
299.147 * * [simplify]: Extracting #2: cost 6 inf + 0
299.147 * * [simplify]: Extracting #3: cost 60 inf + 0
299.147 * * [simplify]: Extracting #4: cost 153 inf + 0
299.148 * * [simplify]: Extracting #5: cost 225 inf + 44
299.149 * * [simplify]: Extracting #6: cost 273 inf + 4811
299.154 * * [simplify]: Extracting #7: cost 240 inf + 13003
299.159 * * [simplify]: Extracting #8: cost 153 inf + 33479
299.173 * * [simplify]: Extracting #9: cost 76 inf + 62768
299.198 * * [simplify]: Extracting #10: cost 19 inf + 113153
299.233 * * [simplify]: Extracting #11: cost 2 inf + 130785
299.276 * * [simplify]: Extracting #12: cost 0 inf + 135035
299.312 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
299.312 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
299.313 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
299.313 * * [simplify]: iters left: 6 (26 enodes)
299.326 * * [simplify]: iters left: 5 (121 enodes)
299.350 * * [simplify]: iters left: 4 (374 enodes)
299.644 * * [simplify]: Extracting #0: cost 1 inf + 0
299.644 * * [simplify]: Extracting #1: cost 3 inf + 0
299.645 * * [simplify]: Extracting #2: cost 68 inf + 0
299.646 * * [simplify]: Extracting #3: cost 321 inf + 0
299.649 * * [simplify]: Extracting #4: cost 434 inf + 290
299.653 * * [simplify]: Extracting #5: cost 454 inf + 11555
299.674 * * [simplify]: Extracting #6: cost 219 inf + 104861
299.736 * * [simplify]: Extracting #7: cost 7 inf + 204757
299.799 * * [simplify]: Extracting #8: cost 0 inf + 208421
299.853 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1))))
299.853 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)))))))
299.854 * * * * [progress]: [ 348 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
299.855 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
299.855 * * [simplify]: iters left: 6 (53 enodes)
299.884 * * [simplify]: iters left: 5 (263 enodes)
299.966 * * [simplify]: Extracting #0: cost 1 inf + 0
299.966 * * [simplify]: Extracting #1: cost 3 inf + 0
299.966 * * [simplify]: Extracting #2: cost 6 inf + 0
299.966 * * [simplify]: Extracting #3: cost 62 inf + 0
299.967 * * [simplify]: Extracting #4: cost 151 inf + 0
299.968 * * [simplify]: Extracting #5: cost 221 inf + 44
299.971 * * [simplify]: Extracting #6: cost 273 inf + 4122
299.977 * * [simplify]: Extracting #7: cost 238 inf + 13571
299.988 * * [simplify]: Extracting #8: cost 147 inf + 36200
300.013 * * [simplify]: Extracting #9: cost 54 inf + 74651
300.042 * * [simplify]: Extracting #10: cost 12 inf + 117371
300.076 * * [simplify]: Extracting #11: cost 0 inf + 132387
300.116 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
300.117 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
300.117 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
300.118 * * [simplify]: iters left: 6 (26 enodes)
300.124 * * [simplify]: iters left: 5 (121 enodes)
300.158 * * [simplify]: iters left: 4 (372 enodes)
300.403 * * [simplify]: Extracting #0: cost 1 inf + 0
300.403 * * [simplify]: Extracting #1: cost 3 inf + 0
300.403 * * [simplify]: Extracting #2: cost 62 inf + 0
300.403 * * [simplify]: Extracting #3: cost 297 inf + 0
300.408 * * [simplify]: Extracting #4: cost 396 inf + 694
300.411 * * [simplify]: Extracting #5: cost 423 inf + 8915
300.426 * * [simplify]: Extracting #6: cost 216 inf + 85576
300.490 * * [simplify]: Extracting #7: cost 9 inf + 180685
300.557 * * [simplify]: Extracting #8: cost 0 inf + 186277
300.647 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
300.647 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
300.648 * * * * [progress]: [ 349 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
300.648 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
300.649 * * [simplify]: iters left: 6 (47 enodes)
300.673 * * [simplify]: iters left: 5 (227 enodes)
300.730 * * [simplify]: Extracting #0: cost 1 inf + 0
300.731 * * [simplify]: Extracting #1: cost 3 inf + 0
300.731 * * [simplify]: Extracting #2: cost 6 inf + 0
300.731 * * [simplify]: Extracting #3: cost 54 inf + 0
300.731 * * [simplify]: Extracting #4: cost 119 inf + 0
300.731 * * [simplify]: Extracting #5: cost 169 inf + 44
300.732 * * [simplify]: Extracting #6: cost 240 inf + 1318
300.734 * * [simplify]: Extracting #7: cost 216 inf + 6114
300.737 * * [simplify]: Extracting #8: cost 148 inf + 22703
300.745 * * [simplify]: Extracting #9: cost 102 inf + 42417
300.762 * * [simplify]: Extracting #10: cost 45 inf + 64960
300.789 * * [simplify]: Extracting #11: cost 9 inf + 96741
300.818 * * [simplify]: Extracting #12: cost 1 inf + 107301
300.853 * * [simplify]: Extracting #13: cost 0 inf + 109166
300.877 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))))
300.877 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
300.878 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))
300.878 * * [simplify]: iters left: 6 (21 enodes)
300.888 * * [simplify]: iters left: 5 (99 enodes)
300.926 * * [simplify]: iters left: 4 (302 enodes)
301.095 * * [simplify]: Extracting #0: cost 1 inf + 0
301.095 * * [simplify]: Extracting #1: cost 3 inf + 0
301.095 * * [simplify]: Extracting #2: cost 35 inf + 0
301.096 * * [simplify]: Extracting #3: cost 158 inf + 0
301.097 * * [simplify]: Extracting #4: cost 230 inf + 43
301.100 * * [simplify]: Extracting #5: cost 299 inf + 1071
301.111 * * [simplify]: Extracting #6: cost 177 inf + 31418
301.137 * * [simplify]: Extracting #7: cost 9 inf + 91574
301.186 * * [simplify]: Extracting #8: cost 0 inf + 96443
301.229 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (+ phi1 phi2))))
301.229 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
301.230 * * * * [progress]: [ 350 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
301.230 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
301.230 * * [simplify]: iters left: 6 (52 enodes)
301.244 * * [simplify]: iters left: 5 (255 enodes)
301.324 * * [simplify]: Extracting #0: cost 1 inf + 0
301.324 * * [simplify]: Extracting #1: cost 3 inf + 0
301.324 * * [simplify]: Extracting #2: cost 10 inf + 0
301.325 * * [simplify]: Extracting #3: cost 74 inf + 0
301.325 * * [simplify]: Extracting #4: cost 137 inf + 1
301.325 * * [simplify]: Extracting #5: cost 191 inf + 206
301.326 * * [simplify]: Extracting #6: cost 255 inf + 3542
301.328 * * [simplify]: Extracting #7: cost 236 inf + 9129
301.331 * * [simplify]: Extracting #8: cost 172 inf + 22061
301.338 * * [simplify]: Extracting #9: cost 116 inf + 40080
301.359 * * [simplify]: Extracting #10: cost 60 inf + 64830
301.389 * * [simplify]: Extracting #11: cost 34 inf + 83527
301.417 * * [simplify]: Extracting #12: cost 4 inf + 117237
301.449 * * [simplify]: Extracting #13: cost 0 inf + 123217
301.480 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
301.480 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
301.481 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
301.482 * * [simplify]: iters left: 6 (24 enodes)
301.489 * * [simplify]: iters left: 5 (112 enodes)
301.511 * * [simplify]: iters left: 4 (319 enodes)
301.633 * * [simplify]: Extracting #0: cost 1 inf + 0
301.633 * * [simplify]: Extracting #1: cost 3 inf + 0
301.633 * * [simplify]: Extracting #2: cost 33 inf + 0
301.634 * * [simplify]: Extracting #3: cost 142 inf + 0
301.635 * * [simplify]: Extracting #4: cost 235 inf + 248
301.636 * * [simplify]: Extracting #5: cost 292 inf + 3146
301.642 * * [simplify]: Extracting #6: cost 193 inf + 33253
301.666 * * [simplify]: Extracting #7: cost 16 inf + 98357
301.709 * * [simplify]: Extracting #8: cost 0 inf + 107171
301.744 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2)))))
301.744 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))))))))
301.745 * * * * [progress]: [ 351 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
301.745 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
301.745 * * [simplify]: iters left: 6 (47 enodes)
301.758 * * [simplify]: iters left: 5 (227 enodes)
301.822 * * [simplify]: Extracting #0: cost 1 inf + 0
301.822 * * [simplify]: Extracting #1: cost 3 inf + 0
301.822 * * [simplify]: Extracting #2: cost 10 inf + 0
301.822 * * [simplify]: Extracting #3: cost 66 inf + 0
301.823 * * [simplify]: Extracting #4: cost 117 inf + 44
301.824 * * [simplify]: Extracting #5: cost 152 inf + 1470
301.826 * * [simplify]: Extracting #6: cost 229 inf + 2974
301.828 * * [simplify]: Extracting #7: cost 227 inf + 4527
301.835 * * [simplify]: Extracting #8: cost 137 inf + 23569
301.854 * * [simplify]: Extracting #9: cost 54 inf + 57452
301.886 * * [simplify]: Extracting #10: cost 15 inf + 88787
301.923 * * [simplify]: Extracting #11: cost 1 inf + 102551
301.947 * * [simplify]: Extracting #12: cost 0 inf + 104336
301.986 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))
301.986 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
301.988 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
301.988 * * [simplify]: iters left: 6 (20 enodes)
301.996 * * [simplify]: iters left: 5 (94 enodes)
302.014 * * [simplify]: iters left: 4 (262 enodes)
302.099 * * [simplify]: Extracting #0: cost 1 inf + 0
302.099 * * [simplify]: Extracting #1: cost 3 inf + 0
302.099 * * [simplify]: Extracting #2: cost 23 inf + 0
302.099 * * [simplify]: Extracting #3: cost 69 inf + 0
302.099 * * [simplify]: Extracting #4: cost 126 inf + 2
302.100 * * [simplify]: Extracting #5: cost 202 inf + 88
302.103 * * [simplify]: Extracting #6: cost 129 inf + 15176
302.115 * * [simplify]: Extracting #7: cost 11 inf + 48015
302.144 * * [simplify]: Extracting #8: cost 0 inf + 52967
302.159 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))
302.159 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))))))))
302.159 * * * * [progress]: [ 352 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
302.160 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
302.160 * * [simplify]: iters left: 6 (52 enodes)
302.173 * * [simplify]: iters left: 5 (255 enodes)
302.261 * * [simplify]: Extracting #0: cost 1 inf + 0
302.261 * * [simplify]: Extracting #1: cost 3 inf + 0
302.261 * * [simplify]: Extracting #2: cost 10 inf + 0
302.261 * * [simplify]: Extracting #3: cost 74 inf + 0
302.262 * * [simplify]: Extracting #4: cost 137 inf + 1
302.263 * * [simplify]: Extracting #5: cost 191 inf + 206
302.265 * * [simplify]: Extracting #6: cost 261 inf + 2251
302.268 * * [simplify]: Extracting #7: cost 241 inf + 8000
302.275 * * [simplify]: Extracting #8: cost 169 inf + 22596
302.288 * * [simplify]: Extracting #9: cost 116 inf + 39740
302.310 * * [simplify]: Extracting #10: cost 59 inf + 65895
302.328 * * [simplify]: Extracting #11: cost 34 inf + 84487
302.353 * * [simplify]: Extracting #12: cost 4 inf + 118197
302.386 * * [simplify]: Extracting #13: cost 0 inf + 124177
302.415 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
302.415 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
302.416 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
302.416 * * [simplify]: iters left: 6 (24 enodes)
302.422 * * [simplify]: iters left: 5 (112 enodes)
302.450 * * [simplify]: iters left: 4 (319 enodes)
302.616 * * [simplify]: Extracting #0: cost 1 inf + 0
302.616 * * [simplify]: Extracting #1: cost 3 inf + 0
302.616 * * [simplify]: Extracting #2: cost 33 inf + 0
302.617 * * [simplify]: Extracting #3: cost 142 inf + 0
302.617 * * [simplify]: Extracting #4: cost 235 inf + 248
302.619 * * [simplify]: Extracting #5: cost 292 inf + 3146
302.625 * * [simplify]: Extracting #6: cost 193 inf + 33253
302.652 * * [simplify]: Extracting #7: cost 16 inf + 98357
302.684 * * [simplify]: Extracting #8: cost 0 inf + 107171
302.712 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2)))))
302.712 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))))))))
302.713 * * * * [progress]: [ 353 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
302.713 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
302.713 * * [simplify]: iters left: 6 (47 enodes)
302.727 * * [simplify]: iters left: 5 (227 enodes)
302.810 * * [simplify]: Extracting #0: cost 1 inf + 0
302.810 * * [simplify]: Extracting #1: cost 3 inf + 0
302.810 * * [simplify]: Extracting #2: cost 10 inf + 0
302.810 * * [simplify]: Extracting #3: cost 65 inf + 0
302.811 * * [simplify]: Extracting #4: cost 117 inf + 44
302.811 * * [simplify]: Extracting #5: cost 159 inf + 537
302.813 * * [simplify]: Extracting #6: cost 230 inf + 2772
302.816 * * [simplify]: Extracting #7: cost 225 inf + 4851
302.823 * * [simplify]: Extracting #8: cost 137 inf + 23408
302.842 * * [simplify]: Extracting #9: cost 61 inf + 55266
302.858 * * [simplify]: Extracting #10: cost 15 inf + 88736
302.887 * * [simplify]: Extracting #11: cost 1 inf + 102791
302.931 * * [simplify]: Extracting #12: cost 0 inf + 104576
302.970 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))
302.970 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
302.971 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
302.971 * * [simplify]: iters left: 6 (20 enodes)
302.976 * * [simplify]: iters left: 5 (94 enodes)
302.993 * * [simplify]: iters left: 4 (262 enodes)
303.098 * * [simplify]: Extracting #0: cost 1 inf + 0
303.098 * * [simplify]: Extracting #1: cost 3 inf + 0
303.098 * * [simplify]: Extracting #2: cost 23 inf + 0
303.098 * * [simplify]: Extracting #3: cost 69 inf + 0
303.099 * * [simplify]: Extracting #4: cost 126 inf + 2
303.100 * * [simplify]: Extracting #5: cost 202 inf + 88
303.103 * * [simplify]: Extracting #6: cost 129 inf + 15176
303.114 * * [simplify]: Extracting #7: cost 11 inf + 48015
303.138 * * [simplify]: Extracting #8: cost 0 inf + 52967
303.152 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))
303.152 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))))))))
303.153 * * * * [progress]: [ 354 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
303.153 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
303.154 * * [simplify]: iters left: 6 (52 enodes)
303.172 * * [simplify]: iters left: 5 (254 enodes)
303.240 * * [simplify]: Extracting #0: cost 1 inf + 0
303.240 * * [simplify]: Extracting #1: cost 3 inf + 0
303.240 * * [simplify]: Extracting #2: cost 6 inf + 0
303.240 * * [simplify]: Extracting #3: cost 56 inf + 0
303.241 * * [simplify]: Extracting #4: cost 130 inf + 0
303.241 * * [simplify]: Extracting #5: cost 207 inf + 0
303.242 * * [simplify]: Extracting #6: cost 282 inf + 1745
303.244 * * [simplify]: Extracting #7: cost 216 inf + 15420
303.250 * * [simplify]: Extracting #8: cost 142 inf + 37260
303.267 * * [simplify]: Extracting #9: cost 94 inf + 54337
303.290 * * [simplify]: Extracting #10: cost 55 inf + 67408
303.316 * * [simplify]: Extracting #11: cost 40 inf + 76143
303.359 * * [simplify]: Extracting #12: cost 8 inf + 110223
303.384 * * [simplify]: Extracting #13: cost 0 inf + 122183
303.424 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))))
303.424 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
303.425 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
303.425 * * [simplify]: iters left: 6 (25 enodes)
303.431 * * [simplify]: iters left: 5 (116 enodes)
303.461 * * [simplify]: iters left: 4 (344 enodes)
303.703 * * [simplify]: Extracting #0: cost 1 inf + 0
303.703 * * [simplify]: Extracting #1: cost 3 inf + 0
303.703 * * [simplify]: Extracting #2: cost 44 inf + 0
303.704 * * [simplify]: Extracting #3: cost 313 inf + 0
303.708 * * [simplify]: Extracting #4: cost 496 inf + 1420
303.721 * * [simplify]: Extracting #5: cost 460 inf + 38666
303.764 * * [simplify]: Extracting #6: cost 137 inf + 159069
303.857 * * [simplify]: Extracting #7: cost 8 inf + 228779
303.960 * * [simplify]: Extracting #8: cost 0 inf + 234007
304.062 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))
304.062 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))))
304.063 * * * * [progress]: [ 355 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
304.063 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
304.064 * * [simplify]: iters left: 6 (53 enodes)
304.088 * * [simplify]: iters left: 5 (263 enodes)
304.191 * * [simplify]: Extracting #0: cost 1 inf + 0
304.191 * * [simplify]: Extracting #1: cost 3 inf + 0
304.191 * * [simplify]: Extracting #2: cost 6 inf + 0
304.192 * * [simplify]: Extracting #3: cost 60 inf + 0
304.192 * * [simplify]: Extracting #4: cost 153 inf + 0
304.193 * * [simplify]: Extracting #5: cost 221 inf + 44
304.196 * * [simplify]: Extracting #6: cost 261 inf + 5622
304.202 * * [simplify]: Extracting #7: cost 208 inf + 16427
304.209 * * [simplify]: Extracting #8: cost 154 inf + 33797
304.219 * * [simplify]: Extracting #9: cost 95 inf + 56782
304.232 * * [simplify]: Extracting #10: cost 49 inf + 74775
304.255 * * [simplify]: Extracting #11: cost 8 inf + 115440
304.297 * * [simplify]: Extracting #12: cost 0 inf + 124920
304.324 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
304.324 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
304.325 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
304.326 * * [simplify]: iters left: 6 (26 enodes)
304.339 * * [simplify]: iters left: 5 (120 enodes)
304.382 * * [simplify]: iters left: 4 (341 enodes)
304.603 * * [simplify]: Extracting #0: cost 1 inf + 0
304.603 * * [simplify]: Extracting #1: cost 3 inf + 0
304.604 * * [simplify]: Extracting #2: cost 68 inf + 0
304.605 * * [simplify]: Extracting #3: cost 320 inf + 0
304.609 * * [simplify]: Extracting #4: cost 438 inf + 290
304.620 * * [simplify]: Extracting #5: cost 456 inf + 24614
304.663 * * [simplify]: Extracting #6: cost 109 inf + 156497
304.735 * * [simplify]: Extracting #7: cost 1 inf + 205638
304.831 * * [simplify]: Extracting #8: cost 0 inf + 206282
304.910 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))))
304.910 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))))))
304.910 * * * * [progress]: [ 356 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
304.911 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
304.911 * * [simplify]: iters left: 6 (53 enodes)
304.925 * * [simplify]: iters left: 5 (263 enodes)
305.008 * * [simplify]: Extracting #0: cost 1 inf + 0
305.008 * * [simplify]: Extracting #1: cost 3 inf + 0
305.008 * * [simplify]: Extracting #2: cost 6 inf + 0
305.008 * * [simplify]: Extracting #3: cost 62 inf + 0
305.009 * * [simplify]: Extracting #4: cost 151 inf + 0
305.010 * * [simplify]: Extracting #5: cost 217 inf + 44
305.013 * * [simplify]: Extracting #6: cost 261 inf + 5855
305.019 * * [simplify]: Extracting #7: cost 197 inf + 20151
305.033 * * [simplify]: Extracting #8: cost 147 inf + 37168
305.052 * * [simplify]: Extracting #9: cost 95 inf + 57753
305.077 * * [simplify]: Extracting #10: cost 51 inf + 73239
305.098 * * [simplify]: Extracting #11: cost 11 inf + 112237
305.138 * * [simplify]: Extracting #12: cost 0 inf + 123552
305.183 * * [simplify]: Extracting #13: cost 0 inf + 122912
305.234 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (+ (* (* phi1 phi1) (+ (* phi2 (- (* phi2 phi2))) (* (* phi1 phi1) phi1))) (* (- (* phi2 phi2)) (+ (* phi2 (- (* phi2 phi2))) (* (* phi1 phi1) phi1)))))) (* (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
305.234 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (+ (* (* phi1 phi1) (+ (* phi2 (- (* phi2 phi2))) (* (* phi1 phi1) phi1))) (* (- (* phi2 phi2)) (+ (* phi2 (- (* phi2 phi2))) (* (* phi1 phi1) phi1)))))) (* (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
305.235 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
305.235 * * [simplify]: iters left: 6 (26 enodes)
305.247 * * [simplify]: iters left: 5 (120 enodes)
305.273 * * [simplify]: iters left: 4 (339 enodes)
305.479 * * [simplify]: Extracting #0: cost 1 inf + 0
305.479 * * [simplify]: Extracting #1: cost 3 inf + 0
305.480 * * [simplify]: Extracting #2: cost 62 inf + 0
305.481 * * [simplify]: Extracting #3: cost 309 inf + 0
305.484 * * [simplify]: Extracting #4: cost 414 inf + 248
305.492 * * [simplify]: Extracting #5: cost 433 inf + 20356
305.537 * * [simplify]: Extracting #6: cost 126 inf + 126974
305.597 * * [simplify]: Extracting #7: cost 0 inf + 190862
305.653 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))
305.653 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))))
305.654 * * * * [progress]: [ 357 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
305.654 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
305.655 * * [simplify]: iters left: 6 (47 enodes)
305.667 * * [simplify]: iters left: 5 (227 enodes)
305.745 * * [simplify]: Extracting #0: cost 1 inf + 0
305.745 * * [simplify]: Extracting #1: cost 3 inf + 0
305.745 * * [simplify]: Extracting #2: cost 6 inf + 0
305.745 * * [simplify]: Extracting #3: cost 54 inf + 0
305.745 * * [simplify]: Extracting #4: cost 119 inf + 0
305.746 * * [simplify]: Extracting #5: cost 164 inf + 126
305.746 * * [simplify]: Extracting #6: cost 233 inf + 1520
305.748 * * [simplify]: Extracting #7: cost 216 inf + 5016
305.752 * * [simplify]: Extracting #8: cost 130 inf + 27574
305.763 * * [simplify]: Extracting #9: cost 43 inf + 64340
305.795 * * [simplify]: Extracting #10: cost 6 inf + 95967
305.822 * * [simplify]: Extracting #11: cost 1 inf + 100506
305.853 * * [simplify]: Extracting #12: cost 0 inf + 102371
305.893 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))
305.893 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
305.894 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))
305.894 * * [simplify]: iters left: 6 (21 enodes)
305.899 * * [simplify]: iters left: 5 (98 enodes)
305.918 * * [simplify]: iters left: 4 (268 enodes)
306.019 * * [simplify]: Extracting #0: cost 1 inf + 0
306.019 * * [simplify]: Extracting #1: cost 3 inf + 0
306.019 * * [simplify]: Extracting #2: cost 37 inf + 0
306.020 * * [simplify]: Extracting #3: cost 162 inf + 0
306.021 * * [simplify]: Extracting #4: cost 228 inf + 44
306.024 * * [simplify]: Extracting #5: cost 265 inf + 13368
306.052 * * [simplify]: Extracting #6: cost 43 inf + 86615
306.090 * * [simplify]: Extracting #7: cost 0 inf + 95213
306.113 * * [simplify]: Extracting #8: cost 0 inf + 94813
306.143 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))
306.143 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
306.739 * * * * [progress]: [ 358 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
306.739 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
306.740 * * [simplify]: iters left: 6 (52 enodes)
306.767 * * [simplify]: iters left: 5 (255 enodes)
306.841 * * [simplify]: Extracting #0: cost 1 inf + 0
306.841 * * [simplify]: Extracting #1: cost 3 inf + 0
306.841 * * [simplify]: Extracting #2: cost 10 inf + 0
306.841 * * [simplify]: Extracting #3: cost 74 inf + 0
306.842 * * [simplify]: Extracting #4: cost 137 inf + 1
306.842 * * [simplify]: Extracting #5: cost 187 inf + 207
306.847 * * [simplify]: Extracting #6: cost 250 inf + 2618
306.850 * * [simplify]: Extracting #7: cost 192 inf + 18910
306.856 * * [simplify]: Extracting #8: cost 132 inf + 37767
306.868 * * [simplify]: Extracting #9: cost 88 inf + 54699
306.889 * * [simplify]: Extracting #10: cost 50 inf + 67412
306.909 * * [simplify]: Extracting #11: cost 5 inf + 107697
306.942 * * [simplify]: Extracting #12: cost 0 inf + 115342
306.970 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))))
306.970 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
306.971 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
306.971 * * [simplify]: iters left: 6 (24 enodes)
306.977 * * [simplify]: iters left: 5 (111 enodes)
307.011 * * [simplify]: iters left: 4 (286 enodes)
307.170 * * [simplify]: Extracting #0: cost 1 inf + 0
307.170 * * [simplify]: Extracting #1: cost 3 inf + 0
307.170 * * [simplify]: Extracting #2: cost 33 inf + 0
307.171 * * [simplify]: Extracting #3: cost 144 inf + 0
307.172 * * [simplify]: Extracting #4: cost 240 inf + 290
307.175 * * [simplify]: Extracting #5: cost 337 inf + 8279
307.189 * * [simplify]: Extracting #6: cost 140 inf + 75982
307.239 * * [simplify]: Extracting #7: cost 0 inf + 119266
307.289 * * [simplify]: Extracting #8: cost 0 inf + 114266
307.338 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))))
307.338 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))))))))
307.339 * * * * [progress]: [ 359 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
307.339 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
307.340 * * [simplify]: iters left: 6 (47 enodes)
307.354 * * [simplify]: iters left: 5 (227 enodes)
307.420 * * [simplify]: Extracting #0: cost 1 inf + 0
307.420 * * [simplify]: Extracting #1: cost 3 inf + 0
307.420 * * [simplify]: Extracting #2: cost 10 inf + 0
307.420 * * [simplify]: Extracting #3: cost 66 inf + 0
307.421 * * [simplify]: Extracting #4: cost 116 inf + 86
307.422 * * [simplify]: Extracting #5: cost 146 inf + 1634
307.424 * * [simplify]: Extracting #6: cost 223 inf + 2934
307.426 * * [simplify]: Extracting #7: cost 217 inf + 4811
307.431 * * [simplify]: Extracting #8: cost 161 inf + 14889
307.441 * * [simplify]: Extracting #9: cost 111 inf + 33365
307.464 * * [simplify]: Extracting #10: cost 41 inf + 61658
307.481 * * [simplify]: Extracting #11: cost 2 inf + 94331
307.507 * * [simplify]: Extracting #12: cost 1 inf + 96156
307.533 * * [simplify]: Extracting #13: cost 0 inf + 97981
307.554 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
307.554 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
307.555 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))
307.555 * * [simplify]: iters left: 6 (20 enodes)
307.560 * * [simplify]: iters left: 5 (93 enodes)
307.594 * * [simplify]: iters left: 4 (229 enodes)
307.663 * * [simplify]: Extracting #0: cost 1 inf + 0
307.663 * * [simplify]: Extracting #1: cost 3 inf + 0
307.663 * * [simplify]: Extracting #2: cost 23 inf + 0
307.663 * * [simplify]: Extracting #3: cost 69 inf + 0
307.663 * * [simplify]: Extracting #4: cost 129 inf + 2
307.664 * * [simplify]: Extracting #5: cost 245 inf + 1869
307.672 * * [simplify]: Extracting #6: cost 106 inf + 33489
307.686 * * [simplify]: Extracting #7: cost 19 inf + 55539
307.715 * * [simplify]: Extracting #8: cost 0 inf + 62434
307.743 * * [simplify]: Extracting #9: cost 0 inf + 62354
307.770 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2)))))
307.771 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))))))))
307.772 * * * * [progress]: [ 360 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
307.772 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
307.773 * * [simplify]: iters left: 6 (52 enodes)
307.800 * * [simplify]: iters left: 5 (255 enodes)
307.883 * * [simplify]: Extracting #0: cost 1 inf + 0
307.883 * * [simplify]: Extracting #1: cost 3 inf + 0
307.883 * * [simplify]: Extracting #2: cost 10 inf + 0
307.883 * * [simplify]: Extracting #3: cost 74 inf + 0
307.884 * * [simplify]: Extracting #4: cost 137 inf + 1
307.885 * * [simplify]: Extracting #5: cost 186 inf + 248
307.886 * * [simplify]: Extracting #6: cost 255 inf + 1851
307.892 * * [simplify]: Extracting #7: cost 203 inf + 13736
307.904 * * [simplify]: Extracting #8: cost 134 inf + 36807
307.922 * * [simplify]: Extracting #9: cost 96 inf + 52859
307.942 * * [simplify]: Extracting #10: cost 53 inf + 66697
307.955 * * [simplify]: Extracting #11: cost 30 inf + 80912
307.981 * * [simplify]: Extracting #12: cost 6 inf + 109272
308.009 * * [simplify]: Extracting #13: cost 0 inf + 118862
308.040 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))
308.040 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
308.041 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
308.041 * * [simplify]: iters left: 6 (24 enodes)
308.047 * * [simplify]: iters left: 5 (111 enodes)
308.083 * * [simplify]: iters left: 4 (286 enodes)
308.216 * * [simplify]: Extracting #0: cost 1 inf + 0
308.216 * * [simplify]: Extracting #1: cost 3 inf + 0
308.216 * * [simplify]: Extracting #2: cost 33 inf + 0
308.217 * * [simplify]: Extracting #3: cost 144 inf + 0
308.218 * * [simplify]: Extracting #4: cost 240 inf + 290
308.222 * * [simplify]: Extracting #5: cost 337 inf + 8279
308.244 * * [simplify]: Extracting #6: cost 140 inf + 75982
308.296 * * [simplify]: Extracting #7: cost 0 inf + 119266
308.347 * * [simplify]: Extracting #8: cost 0 inf + 114266
308.403 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))))
308.403 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))))))))
308.404 * * * * [progress]: [ 361 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
308.405 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
308.405 * * [simplify]: iters left: 6 (47 enodes)
308.422 * * [simplify]: iters left: 5 (227 enodes)
308.488 * * [simplify]: Extracting #0: cost 1 inf + 0
308.489 * * [simplify]: Extracting #1: cost 3 inf + 0
308.489 * * [simplify]: Extracting #2: cost 10 inf + 0
308.489 * * [simplify]: Extracting #3: cost 65 inf + 0
308.489 * * [simplify]: Extracting #4: cost 117 inf + 44
308.490 * * [simplify]: Extracting #5: cost 153 inf + 780
308.492 * * [simplify]: Extracting #6: cost 223 inf + 2813
308.495 * * [simplify]: Extracting #7: cost 210 inf + 5743
308.500 * * [simplify]: Extracting #8: cost 158 inf + 15775
308.511 * * [simplify]: Extracting #9: cost 101 inf + 36882
308.538 * * [simplify]: Extracting #10: cost 17 inf + 83491
308.577 * * [simplify]: Extracting #11: cost 1 inf + 96636
308.616 * * [simplify]: Extracting #12: cost 0 inf + 98461
308.655 * * [simplify]: Extracting #13: cost 0 inf + 98381
308.694 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))
308.694 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1)))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
308.695 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))
308.696 * * [simplify]: iters left: 6 (20 enodes)
308.705 * * [simplify]: iters left: 5 (93 enodes)
308.729 * * [simplify]: iters left: 4 (229 enodes)
308.816 * * [simplify]: Extracting #0: cost 1 inf + 0
308.816 * * [simplify]: Extracting #1: cost 3 inf + 0
308.816 * * [simplify]: Extracting #2: cost 23 inf + 0
308.816 * * [simplify]: Extracting #3: cost 69 inf + 0
308.817 * * [simplify]: Extracting #4: cost 129 inf + 2
308.819 * * [simplify]: Extracting #5: cost 245 inf + 1869
308.829 * * [simplify]: Extracting #6: cost 106 inf + 33489
308.855 * * [simplify]: Extracting #7: cost 19 inf + 55539
308.884 * * [simplify]: Extracting #8: cost 0 inf + 62434
308.912 * * [simplify]: Extracting #9: cost 0 inf + 62354
308.927 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2)))))
308.927 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))))))))
308.928 * * * * [progress]: [ 362 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
308.928 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
308.928 * * [simplify]: iters left: 6 (51 enodes)
308.942 * * [simplify]: iters left: 5 (244 enodes)
309.039 * * [simplify]: Extracting #0: cost 1 inf + 0
309.039 * * [simplify]: Extracting #1: cost 3 inf + 0
309.039 * * [simplify]: Extracting #2: cost 6 inf + 0
309.039 * * [simplify]: Extracting #3: cost 56 inf + 0
309.039 * * [simplify]: Extracting #4: cost 130 inf + 0
309.040 * * [simplify]: Extracting #5: cost 206 inf + 0
309.040 * * [simplify]: Extracting #6: cost 275 inf + 1388
309.043 * * [simplify]: Extracting #7: cost 194 inf + 16147
309.048 * * [simplify]: Extracting #8: cost 136 inf + 36902
309.057 * * [simplify]: Extracting #9: cost 90 inf + 53233
309.068 * * [simplify]: Extracting #10: cost 56 inf + 65353
309.092 * * [simplify]: Extracting #11: cost 35 inf + 80478
309.129 * * [simplify]: Extracting #12: cost 5 inf + 114428
309.154 * * [simplify]: Extracting #13: cost 0 inf + 122633
309.179 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
309.180 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
309.180 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
309.180 * * [simplify]: iters left: 6 (24 enodes)
309.186 * * [simplify]: iters left: 5 (107 enodes)
309.208 * * [simplify]: iters left: 4 (319 enodes)
309.396 * * [simplify]: Extracting #0: cost 1 inf + 0
309.396 * * [simplify]: Extracting #1: cost 3 inf + 0
309.397 * * [simplify]: Extracting #2: cost 41 inf + 0
309.397 * * [simplify]: Extracting #3: cost 306 inf + 0
309.399 * * [simplify]: Extracting #4: cost 478 inf + 166
309.410 * * [simplify]: Extracting #5: cost 374 inf + 64564
309.491 * * [simplify]: Extracting #6: cost 35 inf + 215402
309.549 * * [simplify]: Extracting #7: cost 1 inf + 216950
309.611 * * [simplify]: Extracting #8: cost 0 inf + 217114
309.669 * * [simplify]: Extracting #9: cost 0 inf + 217074
309.751 * [simplify]: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))
309.751 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))))
309.752 * * * * [progress]: [ 363 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
309.752 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
309.752 * * [simplify]: iters left: 6 (52 enodes)
309.770 * * [simplify]: iters left: 5 (253 enodes)
309.853 * * [simplify]: Extracting #0: cost 1 inf + 0
309.853 * * [simplify]: Extracting #1: cost 3 inf + 0
309.853 * * [simplify]: Extracting #2: cost 6 inf + 0
309.853 * * [simplify]: Extracting #3: cost 60 inf + 0
309.854 * * [simplify]: Extracting #4: cost 153 inf + 0
309.854 * * [simplify]: Extracting #5: cost 220 inf + 44
309.856 * * [simplify]: Extracting #6: cost 247 inf + 6628
309.859 * * [simplify]: Extracting #7: cost 190 inf + 17352
309.865 * * [simplify]: Extracting #8: cost 146 inf + 32219
309.876 * * [simplify]: Extracting #9: cost 92 inf + 58864
309.889 * * [simplify]: Extracting #10: cost 44 inf + 77910
309.911 * * [simplify]: Extracting #11: cost 6 inf + 119180
309.938 * * [simplify]: Extracting #12: cost 1 inf + 125065
309.964 * * [simplify]: Extracting #13: cost 0 inf + 127130
310.010 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
310.010 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
310.011 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
310.011 * * [simplify]: iters left: 6 (25 enodes)
310.023 * * [simplify]: iters left: 5 (111 enodes)
310.065 * * [simplify]: iters left: 4 (316 enodes)
310.305 * * [simplify]: Extracting #0: cost 1 inf + 0
310.306 * * [simplify]: Extracting #1: cost 3 inf + 0
310.306 * * [simplify]: Extracting #2: cost 69 inf + 0
310.306 * * [simplify]: Extracting #3: cost 325 inf + 0
310.308 * * [simplify]: Extracting #4: cost 426 inf + 250
310.322 * * [simplify]: Extracting #5: cost 298 inf + 81660
310.385 * * [simplify]: Extracting #6: cost 22 inf + 199811
310.446 * * [simplify]: Extracting #7: cost 0 inf + 198917
310.512 * * [simplify]: Extracting #8: cost 0 inf + 198597
310.572 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)))))
310.572 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1))))))))
310.573 * * * * [progress]: [ 364 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
310.573 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
310.573 * * [simplify]: iters left: 6 (52 enodes)
310.596 * * [simplify]: iters left: 5 (253 enodes)
310.674 * * [simplify]: Extracting #0: cost 1 inf + 0
310.674 * * [simplify]: Extracting #1: cost 3 inf + 0
310.674 * * [simplify]: Extracting #2: cost 6 inf + 0
310.674 * * [simplify]: Extracting #3: cost 62 inf + 0
310.675 * * [simplify]: Extracting #4: cost 151 inf + 0
310.676 * * [simplify]: Extracting #5: cost 216 inf + 44
310.678 * * [simplify]: Extracting #6: cost 246 inf + 5862
310.684 * * [simplify]: Extracting #7: cost 199 inf + 14806
310.697 * * [simplify]: Extracting #8: cost 117 inf + 41310
310.721 * * [simplify]: Extracting #9: cost 52 inf + 70923
310.759 * * [simplify]: Extracting #10: cost 9 inf + 114497
310.810 * * [simplify]: Extracting #11: cost 1 inf + 122817
310.855 * * [simplify]: Extracting #12: cost 0 inf + 124762
310.888 * * [simplify]: Extracting #13: cost 0 inf + 124722
310.921 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2))))))
310.921 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
310.922 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
310.922 * * [simplify]: iters left: 6 (25 enodes)
310.928 * * [simplify]: iters left: 5 (111 enodes)
310.968 * * [simplify]: iters left: 4 (314 enodes)
311.164 * * [simplify]: Extracting #0: cost 1 inf + 0
311.165 * * [simplify]: Extracting #1: cost 3 inf + 0
311.165 * * [simplify]: Extracting #2: cost 61 inf + 0
311.166 * * [simplify]: Extracting #3: cost 296 inf + 0
311.169 * * [simplify]: Extracting #4: cost 384 inf + 250
311.190 * * [simplify]: Extracting #5: cost 299 inf + 56980
311.261 * * [simplify]: Extracting #6: cost 14 inf + 176064
311.313 * * [simplify]: Extracting #7: cost 0 inf + 172944
311.359 * * [simplify]: Extracting #8: cost 0 inf + 172704
311.436 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))
311.436 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)))))) (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))))
311.437 * * * * [progress]: [ 365 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
311.438 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
311.439 * * [simplify]: iters left: 6 (46 enodes)
311.464 * * [simplify]: iters left: 5 (217 enodes)
311.549 * * [simplify]: Extracting #0: cost 1 inf + 0
311.549 * * [simplify]: Extracting #1: cost 3 inf + 0
311.549 * * [simplify]: Extracting #2: cost 6 inf + 0
311.549 * * [simplify]: Extracting #3: cost 54 inf + 0
311.550 * * [simplify]: Extracting #4: cost 119 inf + 0
311.550 * * [simplify]: Extracting #5: cost 164 inf + 44
311.552 * * [simplify]: Extracting #6: cost 225 inf + 1114
311.555 * * [simplify]: Extracting #7: cost 196 inf + 5625
311.561 * * [simplify]: Extracting #8: cost 149 inf + 17010
311.573 * * [simplify]: Extracting #9: cost 101 inf + 36535
311.595 * * [simplify]: Extracting #10: cost 45 inf + 58735
311.621 * * [simplify]: Extracting #11: cost 9 inf + 91716
311.641 * * [simplify]: Extracting #12: cost 0 inf + 101661
311.673 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))
311.673 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
311.674 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
311.675 * * [simplify]: iters left: 6 (20 enodes)
311.681 * * [simplify]: iters left: 5 (89 enodes)
311.697 * * [simplify]: iters left: 4 (244 enodes)
311.776 * * [simplify]: Extracting #0: cost 1 inf + 0
311.776 * * [simplify]: Extracting #1: cost 3 inf + 0
311.776 * * [simplify]: Extracting #2: cost 36 inf + 0
311.776 * * [simplify]: Extracting #3: cost 168 inf + 0
311.777 * * [simplify]: Extracting #4: cost 226 inf + 85
311.782 * * [simplify]: Extracting #5: cost 208 inf + 25640
311.800 * * [simplify]: Extracting #6: cost 31 inf + 88806
311.823 * * [simplify]: Extracting #7: cost 0 inf + 93523
311.845 * * [simplify]: Extracting #8: cost 0 inf + 92803
311.869 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
311.869 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))))
311.869 * * * * [progress]: [ 366 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
311.869 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
311.870 * * [simplify]: iters left: 6 (51 enodes)
311.892 * * [simplify]: iters left: 5 (245 enodes)
311.989 * * [simplify]: Extracting #0: cost 1 inf + 0
311.989 * * [simplify]: Extracting #1: cost 3 inf + 0
311.989 * * [simplify]: Extracting #2: cost 10 inf + 0
311.990 * * [simplify]: Extracting #3: cost 74 inf + 0
311.993 * * [simplify]: Extracting #4: cost 137 inf + 1
311.994 * * [simplify]: Extracting #5: cost 185 inf + 249
311.996 * * [simplify]: Extracting #6: cost 242 inf + 2214
312.002 * * [simplify]: Extracting #7: cost 179 inf + 17933
312.012 * * [simplify]: Extracting #8: cost 134 inf + 33527
312.027 * * [simplify]: Extracting #9: cost 94 inf + 48855
312.047 * * [simplify]: Extracting #10: cost 52 inf + 65132
312.075 * * [simplify]: Extracting #11: cost 11 inf + 101157
312.099 * * [simplify]: Extracting #12: cost 0 inf + 116272
312.135 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))
312.135 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
312.136 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
312.136 * * [simplify]: iters left: 6 (23 enodes)
312.142 * * [simplify]: iters left: 5 (102 enodes)
312.161 * * [simplify]: iters left: 4 (261 enodes)
312.264 * * [simplify]: Extracting #0: cost 1 inf + 0
312.264 * * [simplify]: Extracting #1: cost 3 inf + 0
312.265 * * [simplify]: Extracting #2: cost 33 inf + 0
312.265 * * [simplify]: Extracting #3: cost 142 inf + 0
312.266 * * [simplify]: Extracting #4: cost 221 inf + 371
312.269 * * [simplify]: Extracting #5: cost 228 inf + 21421
312.288 * * [simplify]: Extracting #6: cost 35 inf + 89970
312.335 * * [simplify]: Extracting #7: cost 0 inf + 99690
312.381 * * [simplify]: Extracting #8: cost 0 inf + 98370
312.408 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
312.408 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (sqrt (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))))
312.409 * * * * [progress]: [ 367 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
312.409 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
312.409 * * [simplify]: iters left: 6 (46 enodes)
312.423 * * [simplify]: iters left: 5 (217 enodes)
312.510 * * [simplify]: Extracting #0: cost 1 inf + 0
312.510 * * [simplify]: Extracting #1: cost 3 inf + 0
312.510 * * [simplify]: Extracting #2: cost 10 inf + 0
312.510 * * [simplify]: Extracting #3: cost 66 inf + 0
312.511 * * [simplify]: Extracting #4: cost 117 inf + 44
312.512 * * [simplify]: Extracting #5: cost 149 inf + 1066
312.514 * * [simplify]: Extracting #6: cost 212 inf + 2975
312.516 * * [simplify]: Extracting #7: cost 203 inf + 4568
312.523 * * [simplify]: Extracting #8: cost 143 inf + 21911
312.536 * * [simplify]: Extracting #9: cost 88 inf + 42059
312.555 * * [simplify]: Extracting #10: cost 42 inf + 58714
312.583 * * [simplify]: Extracting #11: cost 14 inf + 84361
312.624 * * [simplify]: Extracting #12: cost 0 inf + 99031
312.647 * * [simplify]: Extracting #13: cost 0 inf + 98791
312.669 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
312.669 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
312.669 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
312.669 * * [simplify]: iters left: 6 (19 enodes)
312.674 * * [simplify]: iters left: 5 (84 enodes)
312.704 * * [simplify]: iters left: 4 (204 enodes)
312.780 * * [simplify]: Extracting #0: cost 1 inf + 0
312.780 * * [simplify]: Extracting #1: cost 3 inf + 0
312.780 * * [simplify]: Extracting #2: cost 23 inf + 0
312.781 * * [simplify]: Extracting #3: cost 69 inf + 0
312.781 * * [simplify]: Extracting #4: cost 113 inf + 44
312.783 * * [simplify]: Extracting #5: cost 174 inf + 1142
312.791 * * [simplify]: Extracting #6: cost 81 inf + 22521
312.811 * * [simplify]: Extracting #7: cost 7 inf + 45871
312.833 * * [simplify]: Extracting #8: cost 0 inf + 47732
312.858 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ phi1 phi2)))
312.859 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ phi1 phi2))))))
312.859 * * * * [progress]: [ 368 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
312.860 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
312.861 * * [simplify]: iters left: 6 (51 enodes)
312.883 * * [simplify]: iters left: 5 (245 enodes)
312.954 * * [simplify]: Extracting #0: cost 1 inf + 0
312.954 * * [simplify]: Extracting #1: cost 3 inf + 0
312.955 * * [simplify]: Extracting #2: cost 10 inf + 0
312.955 * * [simplify]: Extracting #3: cost 74 inf + 0
312.955 * * [simplify]: Extracting #4: cost 137 inf + 1
312.956 * * [simplify]: Extracting #5: cost 186 inf + 207
312.958 * * [simplify]: Extracting #6: cost 241 inf + 2455
312.967 * * [simplify]: Extracting #7: cost 173 inf + 19225
312.979 * * [simplify]: Extracting #8: cost 130 inf + 37063
312.987 * * [simplify]: Extracting #9: cost 94 inf + 49815
312.998 * * [simplify]: Extracting #10: cost 51 inf + 66517
313.024 * * [simplify]: Extracting #11: cost 11 inf + 102117
313.053 * * [simplify]: Extracting #12: cost 0 inf + 117232
313.081 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))
313.082 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
313.083 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
313.083 * * [simplify]: iters left: 6 (23 enodes)
313.096 * * [simplify]: iters left: 5 (102 enodes)
313.130 * * [simplify]: iters left: 4 (261 enodes)
313.238 * * [simplify]: Extracting #0: cost 1 inf + 0
313.238 * * [simplify]: Extracting #1: cost 3 inf + 0
313.238 * * [simplify]: Extracting #2: cost 33 inf + 0
313.239 * * [simplify]: Extracting #3: cost 142 inf + 0
313.239 * * [simplify]: Extracting #4: cost 221 inf + 371
313.243 * * [simplify]: Extracting #5: cost 228 inf + 21421
313.273 * * [simplify]: Extracting #6: cost 35 inf + 89970
313.304 * * [simplify]: Extracting #7: cost 0 inf + 99690
313.335 * * [simplify]: Extracting #8: cost 0 inf + 98370
313.365 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
313.366 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (sqrt (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))))
313.366 * * * * [progress]: [ 369 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
313.366 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
313.367 * * [simplify]: iters left: 6 (46 enodes)
313.379 * * [simplify]: iters left: 5 (217 enodes)
313.468 * * [simplify]: Extracting #0: cost 1 inf + 0
313.468 * * [simplify]: Extracting #1: cost 3 inf + 0
313.468 * * [simplify]: Extracting #2: cost 10 inf + 0
313.468 * * [simplify]: Extracting #3: cost 65 inf + 0
313.469 * * [simplify]: Extracting #4: cost 117 inf + 44
313.469 * * [simplify]: Extracting #5: cost 150 inf + 904
313.470 * * [simplify]: Extracting #6: cost 212 inf + 2975
313.472 * * [simplify]: Extracting #7: cost 206 inf + 4202
313.475 * * [simplify]: Extracting #8: cost 142 inf + 22032
313.482 * * [simplify]: Extracting #9: cost 93 inf + 40735
313.493 * * [simplify]: Extracting #10: cost 43 inf + 58329
313.510 * * [simplify]: Extracting #11: cost 13 inf + 85346
313.535 * * [simplify]: Extracting #12: cost 0 inf + 99111
313.566 * * [simplify]: Extracting #13: cost 0 inf + 98871
313.586 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
313.586 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
313.587 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
313.587 * * [simplify]: iters left: 6 (19 enodes)
313.592 * * [simplify]: iters left: 5 (84 enodes)
313.612 * * [simplify]: iters left: 4 (204 enodes)
313.666 * * [simplify]: Extracting #0: cost 1 inf + 0
313.666 * * [simplify]: Extracting #1: cost 3 inf + 0
313.666 * * [simplify]: Extracting #2: cost 23 inf + 0
313.666 * * [simplify]: Extracting #3: cost 69 inf + 0
313.667 * * [simplify]: Extracting #4: cost 113 inf + 44
313.668 * * [simplify]: Extracting #5: cost 174 inf + 1142
313.676 * * [simplify]: Extracting #6: cost 81 inf + 22521
313.695 * * [simplify]: Extracting #7: cost 7 inf + 45871
313.718 * * [simplify]: Extracting #8: cost 0 inf + 47732
313.734 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ phi1 phi2)))
313.734 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ phi1 phi2))))))
313.734 * * * * [progress]: [ 370 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
313.735 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
313.735 * * [simplify]: iters left: 6 (48 enodes)
313.750 * * [simplify]: iters left: 5 (231 enodes)
313.824 * * [simplify]: Extracting #0: cost 1 inf + 0
313.824 * * [simplify]: Extracting #1: cost 3 inf + 0
313.824 * * [simplify]: Extracting #2: cost 6 inf + 0
313.824 * * [simplify]: Extracting #3: cost 54 inf + 0
313.825 * * [simplify]: Extracting #4: cost 120 inf + 0
313.826 * * [simplify]: Extracting #5: cost 186 inf + 0
313.827 * * [simplify]: Extracting #6: cost 255 inf + 1605
313.831 * * [simplify]: Extracting #7: cost 211 inf + 10942
313.837 * * [simplify]: Extracting #8: cost 150 inf + 22927
313.845 * * [simplify]: Extracting #9: cost 98 inf + 37825
313.855 * * [simplify]: Extracting #10: cost 52 inf + 56261
313.868 * * [simplify]: Extracting #11: cost 31 inf + 71763
313.905 * * [simplify]: Extracting #12: cost 2 inf + 102008
313.926 * * [simplify]: Extracting #13: cost 0 inf + 105458
313.962 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))
313.962 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
313.963 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
313.964 * * [simplify]: iters left: 6 (23 enodes)
313.975 * * [simplify]: iters left: 5 (104 enodes)
314.000 * * [simplify]: iters left: 4 (311 enodes)
314.218 * * [simplify]: Extracting #0: cost 1 inf + 0
314.218 * * [simplify]: Extracting #1: cost 3 inf + 0
314.218 * * [simplify]: Extracting #2: cost 38 inf + 0
314.219 * * [simplify]: Extracting #3: cost 279 inf + 0
314.220 * * [simplify]: Extracting #4: cost 436 inf + 43
314.223 * * [simplify]: Extracting #5: cost 455 inf + 8050
314.242 * * [simplify]: Extracting #6: cost 162 inf + 111956
314.325 * * [simplify]: Extracting #7: cost 2 inf + 178529
314.383 * * [simplify]: Extracting #8: cost 0 inf + 178413
314.448 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))
314.448 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))))))
314.449 * * * * [progress]: [ 371 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
314.449 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
314.450 * * [simplify]: iters left: 6 (49 enodes)
314.463 * * [simplify]: iters left: 5 (240 enodes)
314.565 * * [simplify]: Extracting #0: cost 1 inf + 0
314.565 * * [simplify]: Extracting #1: cost 3 inf + 0
314.565 * * [simplify]: Extracting #2: cost 6 inf + 0
314.566 * * [simplify]: Extracting #3: cost 58 inf + 0
314.566 * * [simplify]: Extracting #4: cost 143 inf + 0
314.567 * * [simplify]: Extracting #5: cost 199 inf + 85
314.571 * * [simplify]: Extracting #6: cost 231 inf + 5296
314.578 * * [simplify]: Extracting #7: cost 196 inf + 14817
314.589 * * [simplify]: Extracting #8: cost 110 inf + 37995
314.609 * * [simplify]: Extracting #9: cost 49 inf + 62191
314.630 * * [simplify]: Extracting #10: cost 8 inf + 98155
314.655 * * [simplify]: Extracting #11: cost 0 inf + 106755
314.694 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))))))
314.694 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
314.695 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
314.695 * * [simplify]: iters left: 6 (24 enodes)
314.700 * * [simplify]: iters left: 5 (108 enodes)
314.730 * * [simplify]: iters left: 4 (308 enodes)
314.979 * * [simplify]: Extracting #0: cost 1 inf + 0
314.979 * * [simplify]: Extracting #1: cost 3 inf + 0
314.979 * * [simplify]: Extracting #2: cost 63 inf + 0
314.980 * * [simplify]: Extracting #3: cost 299 inf + 0
314.983 * * [simplify]: Extracting #4: cost 378 inf + 453
314.991 * * [simplify]: Extracting #5: cost 363 inf + 18010
315.011 * * [simplify]: Extracting #6: cost 132 inf + 102478
315.060 * * [simplify]: Extracting #7: cost 2 inf + 156400
315.123 * * [simplify]: Extracting #8: cost 0 inf + 157286
315.172 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)))))
315.172 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))))))))
315.173 * * * * [progress]: [ 372 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
315.173 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
315.173 * * [simplify]: iters left: 6 (49 enodes)
315.188 * * [simplify]: iters left: 5 (240 enodes)
315.273 * * [simplify]: Extracting #0: cost 1 inf + 0
315.274 * * [simplify]: Extracting #1: cost 3 inf + 0
315.274 * * [simplify]: Extracting #2: cost 6 inf + 0
315.277 * * [simplify]: Extracting #3: cost 60 inf + 0
315.277 * * [simplify]: Extracting #4: cost 141 inf + 0
315.278 * * [simplify]: Extracting #5: cost 196 inf + 43
315.281 * * [simplify]: Extracting #6: cost 233 inf + 5362
315.286 * * [simplify]: Extracting #7: cost 197 inf + 14589
315.294 * * [simplify]: Extracting #8: cost 135 inf + 28792
315.302 * * [simplify]: Extracting #9: cost 81 inf + 49737
315.314 * * [simplify]: Extracting #10: cost 34 inf + 69417
315.339 * * [simplify]: Extracting #11: cost 6 inf + 98157
315.360 * * [simplify]: Extracting #12: cost 0 inf + 104667
315.388 * * [simplify]: Extracting #13: cost 0 inf + 104427
315.411 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))))))
315.411 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
315.412 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
315.412 * * [simplify]: iters left: 6 (24 enodes)
315.419 * * [simplify]: iters left: 5 (108 enodes)
315.444 * * [simplify]: iters left: 4 (306 enodes)
315.612 * * [simplify]: Extracting #0: cost 1 inf + 0
315.612 * * [simplify]: Extracting #1: cost 3 inf + 0
315.613 * * [simplify]: Extracting #2: cost 55 inf + 0
315.614 * * [simplify]: Extracting #3: cost 276 inf + 0
315.615 * * [simplify]: Extracting #4: cost 347 inf + 817
315.619 * * [simplify]: Extracting #5: cost 336 inf + 16506
315.635 * * [simplify]: Extracting #6: cost 132 inf + 91747
315.694 * * [simplify]: Extracting #7: cost 3 inf + 139646
315.754 * * [simplify]: Extracting #8: cost 0 inf + 141658
315.794 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))
315.794 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))))))))
315.795 * * * * [progress]: [ 373 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
315.795 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
315.796 * * [simplify]: iters left: 6 (43 enodes)
315.819 * * [simplify]: iters left: 5 (204 enodes)
315.882 * * [simplify]: Extracting #0: cost 1 inf + 0
315.882 * * [simplify]: Extracting #1: cost 3 inf + 0
315.882 * * [simplify]: Extracting #2: cost 6 inf + 0
315.882 * * [simplify]: Extracting #3: cost 52 inf + 0
315.883 * * [simplify]: Extracting #4: cost 109 inf + 0
315.883 * * [simplify]: Extracting #5: cost 144 inf + 44
315.884 * * [simplify]: Extracting #6: cost 198 inf + 1964
315.885 * * [simplify]: Extracting #7: cost 188 inf + 5056
315.888 * * [simplify]: Extracting #8: cost 136 inf + 14525
315.893 * * [simplify]: Extracting #9: cost 93 inf + 31843
315.912 * * [simplify]: Extracting #10: cost 45 inf + 48014
315.931 * * [simplify]: Extracting #11: cost 30 inf + 55576
315.949 * * [simplify]: Extracting #12: cost 3 inf + 81291
315.968 * * [simplify]: Extracting #13: cost 0 inf + 85446
316.003 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1)))))))
316.003 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
316.004 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))
316.004 * * [simplify]: iters left: 6 (19 enodes)
316.013 * * [simplify]: iters left: 5 (86 enodes)
316.043 * * [simplify]: iters left: 4 (236 enodes)
316.155 * * [simplify]: Extracting #0: cost 1 inf + 0
316.155 * * [simplify]: Extracting #1: cost 3 inf + 0
316.155 * * [simplify]: Extracting #2: cost 32 inf + 0
316.155 * * [simplify]: Extracting #3: cost 144 inf + 0
316.156 * * [simplify]: Extracting #4: cost 184 inf + 698
316.158 * * [simplify]: Extracting #5: cost 213 inf + 7810
316.164 * * [simplify]: Extracting #6: cost 132 inf + 32843
316.189 * * [simplify]: Extracting #7: cost 18 inf + 67340
316.222 * * [simplify]: Extracting #8: cost 0 inf + 72743
316.244 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))
316.244 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))))
316.244 * * * * [progress]: [ 374 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
316.245 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
316.245 * * [simplify]: iters left: 6 (48 enodes)
316.261 * * [simplify]: iters left: 5 (232 enodes)
316.336 * * [simplify]: Extracting #0: cost 1 inf + 0
316.336 * * [simplify]: Extracting #1: cost 3 inf + 0
316.336 * * [simplify]: Extracting #2: cost 10 inf + 0
316.336 * * [simplify]: Extracting #3: cost 72 inf + 0
316.337 * * [simplify]: Extracting #4: cost 126 inf + 42
316.337 * * [simplify]: Extracting #5: cost 166 inf + 207
316.338 * * [simplify]: Extracting #6: cost 225 inf + 2084
316.340 * * [simplify]: Extracting #7: cost 202 inf + 9194
316.344 * * [simplify]: Extracting #8: cost 135 inf + 23145
316.359 * * [simplify]: Extracting #9: cost 62 inf + 47559
316.379 * * [simplify]: Extracting #10: cost 32 inf + 66257
316.415 * * [simplify]: Extracting #11: cost 4 inf + 94397
316.442 * * [simplify]: Extracting #12: cost 0 inf + 100657
316.467 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))
316.467 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
316.468 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
316.468 * * [simplify]: iters left: 6 (22 enodes)
316.479 * * [simplify]: iters left: 5 (99 enodes)
316.515 * * [simplify]: iters left: 4 (253 enodes)
316.652 * * [simplify]: Extracting #0: cost 1 inf + 0
316.652 * * [simplify]: Extracting #1: cost 3 inf + 0
316.652 * * [simplify]: Extracting #2: cost 28 inf + 0
316.653 * * [simplify]: Extracting #3: cost 105 inf + 0
316.654 * * [simplify]: Extracting #4: cost 172 inf + 372
316.656 * * [simplify]: Extracting #5: cost 234 inf + 1112
316.663 * * [simplify]: Extracting #6: cost 171 inf + 19664
316.690 * * [simplify]: Extracting #7: cost 21 inf + 64647
316.712 * * [simplify]: Extracting #8: cost 0 inf + 71111
316.734 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))
316.735 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
316.736 * * * * [progress]: [ 375 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
316.736 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
316.737 * * [simplify]: iters left: 6 (43 enodes)
316.759 * * [simplify]: iters left: 5 (204 enodes)
316.807 * * [simplify]: Extracting #0: cost 1 inf + 0
316.807 * * [simplify]: Extracting #1: cost 3 inf + 0
316.807 * * [simplify]: Extracting #2: cost 10 inf + 0
316.807 * * [simplify]: Extracting #3: cost 64 inf + 0
316.808 * * [simplify]: Extracting #4: cost 107 inf + 44
316.808 * * [simplify]: Extracting #5: cost 129 inf + 1187
316.809 * * [simplify]: Extracting #6: cost 191 inf + 2772
316.810 * * [simplify]: Extracting #7: cost 190 inf + 4971
316.815 * * [simplify]: Extracting #8: cost 92 inf + 30720
316.825 * * [simplify]: Extracting #9: cost 32 inf + 56402
316.843 * * [simplify]: Extracting #10: cost 3 inf + 78514
316.864 * * [simplify]: Extracting #11: cost 0 inf + 81816
316.881 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))))
316.881 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
316.882 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
316.882 * * [simplify]: iters left: 6 (18 enodes)
316.886 * * [simplify]: iters left: 5 (81 enodes)
316.915 * * [simplify]: iters left: 4 (196 enodes)
317.006 * * [simplify]: Extracting #0: cost 1 inf + 0
317.006 * * [simplify]: Extracting #1: cost 3 inf + 0
317.006 * * [simplify]: Extracting #2: cost 18 inf + 0
317.006 * * [simplify]: Extracting #3: cost 44 inf + 0
317.006 * * [simplify]: Extracting #4: cost 83 inf + 2
317.007 * * [simplify]: Extracting #5: cost 154 inf + 88
317.008 * * [simplify]: Extracting #6: cost 126 inf + 5617
317.014 * * [simplify]: Extracting #7: cost 27 inf + 29998
317.023 * * [simplify]: Extracting #8: cost 1 inf + 36461
317.033 * * [simplify]: Extracting #9: cost 0 inf + 36743
317.043 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
317.043 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ phi1 phi2) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))))
317.044 * * * * [progress]: [ 376 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
317.044 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
317.045 * * [simplify]: iters left: 6 (48 enodes)
317.059 * * [simplify]: iters left: 5 (232 enodes)
317.127 * * [simplify]: Extracting #0: cost 1 inf + 0
317.127 * * [simplify]: Extracting #1: cost 3 inf + 0
317.127 * * [simplify]: Extracting #2: cost 10 inf + 0
317.128 * * [simplify]: Extracting #3: cost 72 inf + 0
317.128 * * [simplify]: Extracting #4: cost 126 inf + 42
317.129 * * [simplify]: Extracting #5: cost 165 inf + 249
317.131 * * [simplify]: Extracting #6: cost 223 inf + 2488
317.134 * * [simplify]: Extracting #7: cost 204 inf + 8398
317.142 * * [simplify]: Extracting #8: cost 122 inf + 28672
317.157 * * [simplify]: Extracting #9: cost 61 inf + 48909
317.177 * * [simplify]: Extracting #10: cost 32 inf + 67377
317.214 * * [simplify]: Extracting #11: cost 4 inf + 95517
317.251 * * [simplify]: Extracting #12: cost 0 inf + 101777
317.277 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))
317.277 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
317.277 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
317.277 * * [simplify]: iters left: 6 (22 enodes)
317.282 * * [simplify]: iters left: 5 (99 enodes)
317.305 * * [simplify]: iters left: 4 (253 enodes)
317.405 * * [simplify]: Extracting #0: cost 1 inf + 0
317.405 * * [simplify]: Extracting #1: cost 3 inf + 0
317.406 * * [simplify]: Extracting #2: cost 28 inf + 0
317.406 * * [simplify]: Extracting #3: cost 105 inf + 0
317.406 * * [simplify]: Extracting #4: cost 172 inf + 372
317.407 * * [simplify]: Extracting #5: cost 234 inf + 1112
317.411 * * [simplify]: Extracting #6: cost 171 inf + 19664
317.425 * * [simplify]: Extracting #7: cost 21 inf + 64647
317.459 * * [simplify]: Extracting #8: cost 0 inf + 71111
317.494 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))
317.494 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
317.495 * * * * [progress]: [ 377 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
317.496 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
317.496 * * [simplify]: iters left: 6 (43 enodes)
317.514 * * [simplify]: iters left: 5 (204 enodes)
317.571 * * [simplify]: Extracting #0: cost 1 inf + 0
317.571 * * [simplify]: Extracting #1: cost 3 inf + 0
317.571 * * [simplify]: Extracting #2: cost 10 inf + 0
317.571 * * [simplify]: Extracting #3: cost 63 inf + 0
317.571 * * [simplify]: Extracting #4: cost 107 inf + 44
317.572 * * [simplify]: Extracting #5: cost 131 inf + 862
317.573 * * [simplify]: Extracting #6: cost 189 inf + 2976
317.574 * * [simplify]: Extracting #7: cost 185 inf + 5256
317.576 * * [simplify]: Extracting #8: cost 138 inf + 13837
317.582 * * [simplify]: Extracting #9: cost 86 inf + 32680
317.598 * * [simplify]: Extracting #10: cost 26 inf + 58512
317.621 * * [simplify]: Extracting #11: cost 2 inf + 79446
317.639 * * [simplify]: Extracting #12: cost 1 inf + 80991
317.655 * * [simplify]: Extracting #13: cost 0 inf + 82536
317.686 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (+ phi2 phi1)))))
317.686 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
317.687 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
317.687 * * [simplify]: iters left: 6 (18 enodes)
317.696 * * [simplify]: iters left: 5 (81 enodes)
317.713 * * [simplify]: iters left: 4 (196 enodes)
317.771 * * [simplify]: Extracting #0: cost 1 inf + 0
317.771 * * [simplify]: Extracting #1: cost 3 inf + 0
317.771 * * [simplify]: Extracting #2: cost 18 inf + 0
317.771 * * [simplify]: Extracting #3: cost 44 inf + 0
317.771 * * [simplify]: Extracting #4: cost 83 inf + 2
317.772 * * [simplify]: Extracting #5: cost 154 inf + 88
317.773 * * [simplify]: Extracting #6: cost 126 inf + 5617
317.779 * * [simplify]: Extracting #7: cost 27 inf + 29998
317.795 * * [simplify]: Extracting #8: cost 1 inf + 36461
317.804 * * [simplify]: Extracting #9: cost 0 inf + 36743
317.814 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
317.814 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (+ phi1 phi2) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))))
317.815 * * * * [progress]: [ 378 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
317.815 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
317.815 * * [simplify]: iters left: 6 (51 enodes)
317.842 * * [simplify]: iters left: 5 (245 enodes)
317.917 * * [simplify]: Extracting #0: cost 1 inf + 0
317.917 * * [simplify]: Extracting #1: cost 3 inf + 0
317.917 * * [simplify]: Extracting #2: cost 6 inf + 0
317.918 * * [simplify]: Extracting #3: cost 56 inf + 0
317.918 * * [simplify]: Extracting #4: cost 130 inf + 0
317.919 * * [simplify]: Extracting #5: cost 205 inf + 0
317.920 * * [simplify]: Extracting #6: cost 276 inf + 1216
317.925 * * [simplify]: Extracting #7: cost 202 inf + 15495
317.934 * * [simplify]: Extracting #8: cost 147 inf + 29949
317.952 * * [simplify]: Extracting #9: cost 96 inf + 49055
317.974 * * [simplify]: Extracting #10: cost 50 inf + 70863
318.012 * * [simplify]: Extracting #11: cost 7 inf + 113898
318.039 * * [simplify]: Extracting #12: cost 0 inf + 122953
318.075 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
318.076 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
318.077 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
318.077 * * [simplify]: iters left: 6 (24 enodes)
318.088 * * [simplify]: iters left: 5 (107 enodes)
318.122 * * [simplify]: iters left: 4 (319 enodes)
318.316 * * [simplify]: Extracting #0: cost 1 inf + 0
318.316 * * [simplify]: Extracting #1: cost 3 inf + 0
318.316 * * [simplify]: Extracting #2: cost 41 inf + 0
318.317 * * [simplify]: Extracting #3: cost 306 inf + 0
318.318 * * [simplify]: Extracting #4: cost 478 inf + 166
318.329 * * [simplify]: Extracting #5: cost 374 inf + 64564
318.397 * * [simplify]: Extracting #6: cost 35 inf + 215402
318.492 * * [simplify]: Extracting #7: cost 1 inf + 216950
318.575 * * [simplify]: Extracting #8: cost 0 inf + 217114
318.658 * * [simplify]: Extracting #9: cost 0 inf + 217074
318.722 * [simplify]: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))
318.722 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))))
318.723 * * * * [progress]: [ 379 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
318.723 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
318.724 * * [simplify]: iters left: 6 (52 enodes)
318.737 * * [simplify]: iters left: 5 (254 enodes)
318.815 * * [simplify]: Extracting #0: cost 1 inf + 0
318.815 * * [simplify]: Extracting #1: cost 3 inf + 0
318.816 * * [simplify]: Extracting #2: cost 6 inf + 0
318.816 * * [simplify]: Extracting #3: cost 60 inf + 0
318.816 * * [simplify]: Extracting #4: cost 153 inf + 0
318.817 * * [simplify]: Extracting #5: cost 219 inf + 44
318.819 * * [simplify]: Extracting #6: cost 262 inf + 3760
318.826 * * [simplify]: Extracting #7: cost 188 inf + 18600
318.836 * * [simplify]: Extracting #8: cost 139 inf + 35782
318.845 * * [simplify]: Extracting #9: cost 91 inf + 57666
318.858 * * [simplify]: Extracting #10: cost 49 inf + 73425
318.895 * * [simplify]: Extracting #11: cost 6 inf + 119260
318.931 * * [simplify]: Extracting #12: cost 1 inf + 125145
318.969 * * [simplify]: Extracting #13: cost 0 inf + 127170
318.996 * * [simplify]: Extracting #14: cost 0 inf + 127130
319.023 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))
319.024 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
319.025 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
319.025 * * [simplify]: iters left: 6 (25 enodes)
319.036 * * [simplify]: iters left: 5 (111 enodes)
319.077 * * [simplify]: iters left: 4 (316 enodes)
319.307 * * [simplify]: Extracting #0: cost 1 inf + 0
319.307 * * [simplify]: Extracting #1: cost 3 inf + 0
319.308 * * [simplify]: Extracting #2: cost 69 inf + 0
319.309 * * [simplify]: Extracting #3: cost 325 inf + 0
319.312 * * [simplify]: Extracting #4: cost 426 inf + 250
319.340 * * [simplify]: Extracting #5: cost 298 inf + 81660
319.407 * * [simplify]: Extracting #6: cost 22 inf + 199811
319.492 * * [simplify]: Extracting #7: cost 0 inf + 198917
319.551 * * [simplify]: Extracting #8: cost 0 inf + 198597
319.603 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)))))
319.603 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (sqrt (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1))))))))
319.604 * * * * [progress]: [ 380 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
319.604 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
319.605 * * [simplify]: iters left: 6 (52 enodes)
319.631 * * [simplify]: iters left: 5 (254 enodes)
319.747 * * [simplify]: Extracting #0: cost 1 inf + 0
319.747 * * [simplify]: Extracting #1: cost 3 inf + 0
319.747 * * [simplify]: Extracting #2: cost 6 inf + 0
319.748 * * [simplify]: Extracting #3: cost 62 inf + 0
319.748 * * [simplify]: Extracting #4: cost 151 inf + 0
319.749 * * [simplify]: Extracting #5: cost 215 inf + 44
319.752 * * [simplify]: Extracting #6: cost 258 inf + 3599
319.758 * * [simplify]: Extracting #7: cost 192 inf + 15979
319.770 * * [simplify]: Extracting #8: cost 144 inf + 32656
319.789 * * [simplify]: Extracting #9: cost 91 inf + 57121
319.816 * * [simplify]: Extracting #10: cost 47 inf + 75107
319.848 * * [simplify]: Extracting #11: cost 12 inf + 109262
319.876 * * [simplify]: Extracting #12: cost 1 inf + 122737
319.914 * * [simplify]: Extracting #13: cost 0 inf + 124802
319.949 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))))))
319.949 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
319.951 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
319.951 * * [simplify]: iters left: 6 (25 enodes)
319.963 * * [simplify]: iters left: 5 (111 enodes)
319.999 * * [simplify]: iters left: 4 (314 enodes)
320.180 * * [simplify]: Extracting #0: cost 1 inf + 0
320.180 * * [simplify]: Extracting #1: cost 3 inf + 0
320.180 * * [simplify]: Extracting #2: cost 61 inf + 0
320.181 * * [simplify]: Extracting #3: cost 296 inf + 0
320.184 * * [simplify]: Extracting #4: cost 384 inf + 250
320.204 * * [simplify]: Extracting #5: cost 299 inf + 56980
320.275 * * [simplify]: Extracting #6: cost 14 inf + 176064
320.334 * * [simplify]: Extracting #7: cost 0 inf + 172944
320.386 * * [simplify]: Extracting #8: cost 0 inf + 172704
320.440 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))
320.440 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))))
320.441 * * * * [progress]: [ 381 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
320.441 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
320.442 * * [simplify]: iters left: 6 (46 enodes)
320.466 * * [simplify]: iters left: 5 (218 enodes)
320.529 * * [simplify]: Extracting #0: cost 1 inf + 0
320.529 * * [simplify]: Extracting #1: cost 3 inf + 0
320.530 * * [simplify]: Extracting #2: cost 6 inf + 0
320.530 * * [simplify]: Extracting #3: cost 54 inf + 0
320.530 * * [simplify]: Extracting #4: cost 119 inf + 0
320.531 * * [simplify]: Extracting #5: cost 163 inf + 44
320.535 * * [simplify]: Extracting #6: cost 222 inf + 1400
320.538 * * [simplify]: Extracting #7: cost 202 inf + 5173
320.542 * * [simplify]: Extracting #8: cost 127 inf + 24893
320.551 * * [simplify]: Extracting #9: cost 57 inf + 54756
320.569 * * [simplify]: Extracting #10: cost 14 inf + 90670
320.601 * * [simplify]: Extracting #11: cost 0 inf + 104061
320.623 * * [simplify]: Extracting #12: cost 0 inf + 103981
320.664 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))
320.664 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
320.665 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
320.665 * * [simplify]: iters left: 6 (20 enodes)
320.677 * * [simplify]: iters left: 5 (89 enodes)
320.705 * * [simplify]: iters left: 4 (244 enodes)
320.795 * * [simplify]: Extracting #0: cost 1 inf + 0
320.795 * * [simplify]: Extracting #1: cost 3 inf + 0
320.795 * * [simplify]: Extracting #2: cost 36 inf + 0
320.795 * * [simplify]: Extracting #3: cost 168 inf + 0
320.796 * * [simplify]: Extracting #4: cost 226 inf + 85
320.800 * * [simplify]: Extracting #5: cost 208 inf + 25640
320.826 * * [simplify]: Extracting #6: cost 31 inf + 88806
320.873 * * [simplify]: Extracting #7: cost 0 inf + 93523
320.905 * * [simplify]: Extracting #8: cost 0 inf + 92803
320.931 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
320.931 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))))
320.932 * * * * [progress]: [ 382 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
320.933 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
320.933 * * [simplify]: iters left: 6 (51 enodes)
320.960 * * [simplify]: iters left: 5 (246 enodes)
321.039 * * [simplify]: Extracting #0: cost 1 inf + 0
321.039 * * [simplify]: Extracting #1: cost 3 inf + 0
321.039 * * [simplify]: Extracting #2: cost 10 inf + 0
321.039 * * [simplify]: Extracting #3: cost 74 inf + 0
321.040 * * [simplify]: Extracting #4: cost 137 inf + 1
321.041 * * [simplify]: Extracting #5: cost 184 inf + 249
321.043 * * [simplify]: Extracting #6: cost 240 inf + 2377
321.048 * * [simplify]: Extracting #7: cost 174 inf + 17899
321.057 * * [simplify]: Extracting #8: cost 117 inf + 37640
321.068 * * [simplify]: Extracting #9: cost 63 inf + 60419
321.081 * * [simplify]: Extracting #10: cost 42 inf + 72862
321.099 * * [simplify]: Extracting #11: cost 12 inf + 101132
321.125 * * [simplify]: Extracting #12: cost 1 inf + 114807
321.148 * * [simplify]: Extracting #13: cost 0 inf + 116752
321.172 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))
321.172 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
321.173 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
321.173 * * [simplify]: iters left: 6 (23 enodes)
321.178 * * [simplify]: iters left: 5 (102 enodes)
321.201 * * [simplify]: iters left: 4 (261 enodes)
321.303 * * [simplify]: Extracting #0: cost 1 inf + 0
321.303 * * [simplify]: Extracting #1: cost 3 inf + 0
321.303 * * [simplify]: Extracting #2: cost 33 inf + 0
321.303 * * [simplify]: Extracting #3: cost 142 inf + 0
321.304 * * [simplify]: Extracting #4: cost 221 inf + 371
321.307 * * [simplify]: Extracting #5: cost 228 inf + 21421
321.327 * * [simplify]: Extracting #6: cost 35 inf + 89970
321.375 * * [simplify]: Extracting #7: cost 0 inf + 99690
321.426 * * [simplify]: Extracting #8: cost 0 inf + 98370
321.452 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
321.452 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (sqrt (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))))
321.453 * * * * [progress]: [ 383 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
321.453 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
321.453 * * [simplify]: iters left: 6 (46 enodes)
321.468 * * [simplify]: iters left: 5 (218 enodes)
321.530 * * [simplify]: Extracting #0: cost 1 inf + 0
321.530 * * [simplify]: Extracting #1: cost 3 inf + 0
321.530 * * [simplify]: Extracting #2: cost 10 inf + 0
321.530 * * [simplify]: Extracting #3: cost 66 inf + 0
321.531 * * [simplify]: Extracting #4: cost 117 inf + 44
321.532 * * [simplify]: Extracting #5: cost 149 inf + 984
321.534 * * [simplify]: Extracting #6: cost 212 inf + 2975
321.536 * * [simplify]: Extracting #7: cost 207 inf + 4162
321.541 * * [simplify]: Extracting #8: cost 162 inf + 12576
321.551 * * [simplify]: Extracting #9: cost 103 inf + 33553
321.571 * * [simplify]: Extracting #10: cost 41 inf + 59421
321.598 * * [simplify]: Extracting #11: cost 4 inf + 93131
321.618 * * [simplify]: Extracting #12: cost 0 inf + 97991
321.649 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))
321.650 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
321.651 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
321.651 * * [simplify]: iters left: 6 (19 enodes)
321.660 * * [simplify]: iters left: 5 (84 enodes)
321.689 * * [simplify]: iters left: 4 (204 enodes)
321.756 * * [simplify]: Extracting #0: cost 1 inf + 0
321.756 * * [simplify]: Extracting #1: cost 3 inf + 0
321.756 * * [simplify]: Extracting #2: cost 23 inf + 0
321.757 * * [simplify]: Extracting #3: cost 69 inf + 0
321.757 * * [simplify]: Extracting #4: cost 113 inf + 44
321.759 * * [simplify]: Extracting #5: cost 174 inf + 1142
321.766 * * [simplify]: Extracting #6: cost 81 inf + 22521
321.781 * * [simplify]: Extracting #7: cost 7 inf + 45871
321.793 * * [simplify]: Extracting #8: cost 0 inf + 47732
321.805 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ phi1 phi2)))
321.805 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ phi1 phi2))))))
321.805 * * * * [progress]: [ 384 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
321.806 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
321.806 * * [simplify]: iters left: 6 (51 enodes)
321.820 * * [simplify]: iters left: 5 (246 enodes)
321.892 * * [simplify]: Extracting #0: cost 1 inf + 0
321.892 * * [simplify]: Extracting #1: cost 3 inf + 0
321.893 * * [simplify]: Extracting #2: cost 10 inf + 0
321.893 * * [simplify]: Extracting #3: cost 74 inf + 0
321.893 * * [simplify]: Extracting #4: cost 137 inf + 1
321.893 * * [simplify]: Extracting #5: cost 185 inf + 207
321.894 * * [simplify]: Extracting #6: cost 243 inf + 2214
321.897 * * [simplify]: Extracting #7: cost 178 inf + 17241
321.903 * * [simplify]: Extracting #8: cost 121 inf + 35891
321.919 * * [simplify]: Extracting #9: cost 65 inf + 59689
321.932 * * [simplify]: Extracting #10: cost 48 inf + 68072
321.952 * * [simplify]: Extracting #11: cost 11 inf + 102997
321.981 * * [simplify]: Extracting #12: cost 1 inf + 115607
322.009 * * [simplify]: Extracting #13: cost 0 inf + 117552
322.040 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))
322.040 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
322.041 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
322.041 * * [simplify]: iters left: 6 (23 enodes)
322.052 * * [simplify]: iters left: 5 (102 enodes)
322.075 * * [simplify]: iters left: 4 (261 enodes)
322.199 * * [simplify]: Extracting #0: cost 1 inf + 0
322.199 * * [simplify]: Extracting #1: cost 3 inf + 0
322.199 * * [simplify]: Extracting #2: cost 33 inf + 0
322.200 * * [simplify]: Extracting #3: cost 142 inf + 0
322.201 * * [simplify]: Extracting #4: cost 221 inf + 371
322.209 * * [simplify]: Extracting #5: cost 228 inf + 21421
322.246 * * [simplify]: Extracting #6: cost 35 inf + 89970
322.294 * * [simplify]: Extracting #7: cost 0 inf + 99690
322.343 * * [simplify]: Extracting #8: cost 0 inf + 98370
322.389 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
322.389 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))))
322.390 * * * * [progress]: [ 385 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
322.390 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
322.391 * * [simplify]: iters left: 6 (46 enodes)
322.414 * * [simplify]: iters left: 5 (218 enodes)
322.506 * * [simplify]: Extracting #0: cost 1 inf + 0
322.506 * * [simplify]: Extracting #1: cost 3 inf + 0
322.506 * * [simplify]: Extracting #2: cost 10 inf + 0
322.506 * * [simplify]: Extracting #3: cost 65 inf + 0
322.507 * * [simplify]: Extracting #4: cost 117 inf + 44
322.508 * * [simplify]: Extracting #5: cost 149 inf + 904
322.510 * * [simplify]: Extracting #6: cost 212 inf + 2975
322.513 * * [simplify]: Extracting #7: cost 205 inf + 4406
322.517 * * [simplify]: Extracting #8: cost 161 inf + 12858
322.524 * * [simplify]: Extracting #9: cost 106 inf + 32277
322.534 * * [simplify]: Extracting #10: cost 43 inf + 59089
322.551 * * [simplify]: Extracting #11: cost 4 inf + 94251
322.588 * * [simplify]: Extracting #12: cost 0 inf + 99191
322.614 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2)))) (+ phi2 phi1))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))
322.614 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2)))) (+ phi2 phi1))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
322.615 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
322.615 * * [simplify]: iters left: 6 (19 enodes)
322.621 * * [simplify]: iters left: 5 (84 enodes)
322.636 * * [simplify]: iters left: 4 (204 enodes)
322.738 * * [simplify]: Extracting #0: cost 1 inf + 0
322.739 * * [simplify]: Extracting #1: cost 3 inf + 0
322.739 * * [simplify]: Extracting #2: cost 23 inf + 0
322.739 * * [simplify]: Extracting #3: cost 69 inf + 0
322.740 * * [simplify]: Extracting #4: cost 113 inf + 44
322.741 * * [simplify]: Extracting #5: cost 174 inf + 1142
322.748 * * [simplify]: Extracting #6: cost 81 inf + 22521
322.767 * * [simplify]: Extracting #7: cost 7 inf + 45871
322.788 * * [simplify]: Extracting #8: cost 0 inf + 47732
322.800 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ phi1 phi2)))
322.800 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ phi1 phi2))))))
322.800 * * * * [progress]: [ 386 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
322.801 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
322.801 * * [simplify]: iters left: 6 (50 enodes)
322.815 * * [simplify]: iters left: 5 (240 enodes)
322.879 * * [simplify]: Extracting #0: cost 1 inf + 0
322.879 * * [simplify]: Extracting #1: cost 3 inf + 0
322.879 * * [simplify]: Extracting #2: cost 6 inf + 0
322.880 * * [simplify]: Extracting #3: cost 57 inf + 0
322.880 * * [simplify]: Extracting #4: cost 128 inf + 0
322.881 * * [simplify]: Extracting #5: cost 193 inf + 0
322.882 * * [simplify]: Extracting #6: cost 260 inf + 4065
322.886 * * [simplify]: Extracting #7: cost 206 inf + 16330
322.894 * * [simplify]: Extracting #8: cost 154 inf + 25314
322.907 * * [simplify]: Extracting #9: cost 98 inf + 44227
322.920 * * [simplify]: Extracting #10: cost 58 inf + 59790
322.933 * * [simplify]: Extracting #11: cost 34 inf + 75790
322.961 * * [simplify]: Extracting #12: cost 3 inf + 108525
323.001 * * [simplify]: Extracting #13: cost 0 inf + 112320
323.043 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))))
323.043 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
323.044 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
323.045 * * [simplify]: iters left: 6 (23 enodes)
323.055 * * [simplify]: iters left: 5 (104 enodes)
323.096 * * [simplify]: iters left: 4 (311 enodes)
323.376 * * [simplify]: Extracting #0: cost 1 inf + 0
323.377 * * [simplify]: Extracting #1: cost 3 inf + 0
323.377 * * [simplify]: Extracting #2: cost 38 inf + 0
323.378 * * [simplify]: Extracting #3: cost 279 inf + 0
323.381 * * [simplify]: Extracting #4: cost 436 inf + 43
323.385 * * [simplify]: Extracting #5: cost 455 inf + 8050
323.423 * * [simplify]: Extracting #6: cost 162 inf + 111956
323.468 * * [simplify]: Extracting #7: cost 2 inf + 178529
323.553 * * [simplify]: Extracting #8: cost 0 inf + 178413
323.615 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))
323.615 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))))) (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))))))
323.616 * * * * [progress]: [ 387 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
323.616 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
323.617 * * [simplify]: iters left: 6 (51 enodes)
323.647 * * [simplify]: iters left: 5 (249 enodes)
323.729 * * [simplify]: Extracting #0: cost 1 inf + 0
323.729 * * [simplify]: Extracting #1: cost 3 inf + 0
323.729 * * [simplify]: Extracting #2: cost 6 inf + 0
323.729 * * [simplify]: Extracting #3: cost 61 inf + 0
323.730 * * [simplify]: Extracting #4: cost 151 inf + 0
323.731 * * [simplify]: Extracting #5: cost 207 inf + 44
323.734 * * [simplify]: Extracting #6: cost 246 inf + 5252
323.740 * * [simplify]: Extracting #7: cost 209 inf + 14630
323.747 * * [simplify]: Extracting #8: cost 165 inf + 24175
323.763 * * [simplify]: Extracting #9: cost 108 inf + 40633
323.793 * * [simplify]: Extracting #10: cost 29 inf + 90993
323.830 * * [simplify]: Extracting #11: cost 3 inf + 110102
323.853 * * [simplify]: Extracting #12: cost 0 inf + 114897
323.884 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
323.884 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
323.885 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
323.885 * * [simplify]: iters left: 6 (24 enodes)
323.891 * * [simplify]: iters left: 5 (108 enodes)
323.926 * * [simplify]: iters left: 4 (308 enodes)
324.097 * * [simplify]: Extracting #0: cost 1 inf + 0
324.097 * * [simplify]: Extracting #1: cost 3 inf + 0
324.097 * * [simplify]: Extracting #2: cost 63 inf + 0
324.098 * * [simplify]: Extracting #3: cost 299 inf + 0
324.099 * * [simplify]: Extracting #4: cost 378 inf + 453
324.104 * * [simplify]: Extracting #5: cost 363 inf + 18010
324.125 * * [simplify]: Extracting #6: cost 132 inf + 102478
324.185 * * [simplify]: Extracting #7: cost 2 inf + 156400
324.243 * * [simplify]: Extracting #8: cost 0 inf + 157286
324.286 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)))))
324.286 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))))))))
324.287 * * * * [progress]: [ 388 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
324.287 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
324.287 * * [simplify]: iters left: 6 (51 enodes)
324.305 * * [simplify]: iters left: 5 (249 enodes)
324.380 * * [simplify]: Extracting #0: cost 1 inf + 0
324.380 * * [simplify]: Extracting #1: cost 3 inf + 0
324.380 * * [simplify]: Extracting #2: cost 6 inf + 0
324.380 * * [simplify]: Extracting #3: cost 63 inf + 0
324.380 * * [simplify]: Extracting #4: cost 149 inf + 0
324.381 * * [simplify]: Extracting #5: cost 203 inf + 44
324.384 * * [simplify]: Extracting #6: cost 238 inf + 5660
324.392 * * [simplify]: Extracting #7: cost 210 inf + 14191
324.399 * * [simplify]: Extracting #8: cost 160 inf + 24704
324.410 * * [simplify]: Extracting #9: cost 110 inf + 37708
324.422 * * [simplify]: Extracting #10: cost 54 inf + 64958
324.443 * * [simplify]: Extracting #11: cost 4 inf + 109109
324.476 * * [simplify]: Extracting #12: cost 0 inf + 112689
324.504 * * [simplify]: Extracting #13: cost 0 inf + 112529
324.543 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
324.543 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
324.544 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
324.545 * * [simplify]: iters left: 6 (24 enodes)
324.554 * * [simplify]: iters left: 5 (108 enodes)
324.584 * * [simplify]: iters left: 4 (306 enodes)
324.779 * * [simplify]: Extracting #0: cost 1 inf + 0
324.779 * * [simplify]: Extracting #1: cost 3 inf + 0
324.779 * * [simplify]: Extracting #2: cost 55 inf + 0
324.780 * * [simplify]: Extracting #3: cost 276 inf + 0
324.783 * * [simplify]: Extracting #4: cost 347 inf + 817
324.791 * * [simplify]: Extracting #5: cost 336 inf + 16506
324.818 * * [simplify]: Extracting #6: cost 132 inf + 91747
324.862 * * [simplify]: Extracting #7: cost 3 inf + 139646
324.899 * * [simplify]: Extracting #8: cost 0 inf + 141658
324.965 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))
324.965 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))))))))
324.966 * * * * [progress]: [ 389 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
324.966 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
324.967 * * [simplify]: iters left: 6 (45 enodes)
324.983 * * [simplify]: iters left: 5 (213 enodes)
325.047 * * [simplify]: Extracting #0: cost 1 inf + 0
325.047 * * [simplify]: Extracting #1: cost 3 inf + 0
325.047 * * [simplify]: Extracting #2: cost 6 inf + 0
325.047 * * [simplify]: Extracting #3: cost 55 inf + 0
325.048 * * [simplify]: Extracting #4: cost 117 inf + 0
325.048 * * [simplify]: Extracting #5: cost 150 inf + 85
325.050 * * [simplify]: Extracting #6: cost 218 inf + 952
325.052 * * [simplify]: Extracting #7: cost 206 inf + 4125
325.058 * * [simplify]: Extracting #8: cost 136 inf + 18898
325.070 * * [simplify]: Extracting #9: cost 73 inf + 40838
325.101 * * [simplify]: Extracting #10: cost 12 inf + 80901
325.133 * * [simplify]: Extracting #11: cost 0 inf + 92388
325.164 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))))))
325.164 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
325.165 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))
325.165 * * [simplify]: iters left: 6 (19 enodes)
325.173 * * [simplify]: iters left: 5 (86 enodes)
325.209 * * [simplify]: iters left: 4 (236 enodes)
325.303 * * [simplify]: Extracting #0: cost 1 inf + 0
325.304 * * [simplify]: Extracting #1: cost 3 inf + 0
325.304 * * [simplify]: Extracting #2: cost 32 inf + 0
325.304 * * [simplify]: Extracting #3: cost 144 inf + 0
325.306 * * [simplify]: Extracting #4: cost 184 inf + 698
325.309 * * [simplify]: Extracting #5: cost 213 inf + 7810
325.325 * * [simplify]: Extracting #6: cost 132 inf + 32843
325.354 * * [simplify]: Extracting #7: cost 18 inf + 67340
325.387 * * [simplify]: Extracting #8: cost 0 inf + 72743
325.420 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))
325.420 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))))
325.421 * * * * [progress]: [ 390 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
325.422 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
325.422 * * [simplify]: iters left: 6 (50 enodes)
325.435 * * [simplify]: iters left: 5 (241 enodes)
325.507 * * [simplify]: Extracting #0: cost 1 inf + 0
325.507 * * [simplify]: Extracting #1: cost 3 inf + 0
325.507 * * [simplify]: Extracting #2: cost 10 inf + 0
325.507 * * [simplify]: Extracting #3: cost 75 inf + 0
325.508 * * [simplify]: Extracting #4: cost 142 inf + 1
325.508 * * [simplify]: Extracting #5: cost 179 inf + 249
325.509 * * [simplify]: Extracting #6: cost 239 inf + 2456
325.511 * * [simplify]: Extracting #7: cost 213 inf + 10592
325.517 * * [simplify]: Extracting #8: cost 154 inf + 25334
325.531 * * [simplify]: Extracting #9: cost 104 inf + 43766
325.550 * * [simplify]: Extracting #10: cost 64 inf + 57334
325.575 * * [simplify]: Extracting #11: cost 26 inf + 80884
325.613 * * [simplify]: Extracting #12: cost 5 inf + 101849
325.653 * * [simplify]: Extracting #13: cost 1 inf + 107269
325.696 * * [simplify]: Extracting #14: cost 0 inf + 109014
325.737 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))))
325.737 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
325.738 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
325.739 * * [simplify]: iters left: 6 (22 enodes)
325.749 * * [simplify]: iters left: 5 (99 enodes)
325.788 * * [simplify]: iters left: 4 (253 enodes)
325.928 * * [simplify]: Extracting #0: cost 1 inf + 0
325.928 * * [simplify]: Extracting #1: cost 3 inf + 0
325.928 * * [simplify]: Extracting #2: cost 28 inf + 0
325.928 * * [simplify]: Extracting #3: cost 105 inf + 0
325.929 * * [simplify]: Extracting #4: cost 172 inf + 372
325.930 * * [simplify]: Extracting #5: cost 234 inf + 1112
325.933 * * [simplify]: Extracting #6: cost 171 inf + 19664
325.947 * * [simplify]: Extracting #7: cost 21 inf + 64647
325.972 * * [simplify]: Extracting #8: cost 0 inf + 71111
326.009 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))
326.010 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
326.011 * * * * [progress]: [ 391 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
326.011 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
326.012 * * [simplify]: iters left: 6 (45 enodes)
326.035 * * [simplify]: iters left: 5 (213 enodes)
326.096 * * [simplify]: Extracting #0: cost 1 inf + 0
326.096 * * [simplify]: Extracting #1: cost 3 inf + 0
326.096 * * [simplify]: Extracting #2: cost 10 inf + 0
326.096 * * [simplify]: Extracting #3: cost 67 inf + 0
326.097 * * [simplify]: Extracting #4: cost 122 inf + 44
326.097 * * [simplify]: Extracting #5: cost 147 inf + 578
326.098 * * [simplify]: Extracting #6: cost 210 inf + 2934
326.099 * * [simplify]: Extracting #7: cost 212 inf + 3997
326.104 * * [simplify]: Extracting #8: cost 140 inf + 20698
326.121 * * [simplify]: Extracting #9: cost 34 inf + 70338
326.140 * * [simplify]: Extracting #10: cost 2 inf + 90656
326.178 * * [simplify]: Extracting #11: cost 0 inf + 92413
326.203 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (+ phi2 phi1)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))))
326.203 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (+ phi2 phi1)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
326.204 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
326.204 * * [simplify]: iters left: 6 (18 enodes)
326.208 * * [simplify]: iters left: 5 (81 enodes)
326.226 * * [simplify]: iters left: 4 (196 enodes)
326.322 * * [simplify]: Extracting #0: cost 1 inf + 0
326.322 * * [simplify]: Extracting #1: cost 3 inf + 0
326.322 * * [simplify]: Extracting #2: cost 18 inf + 0
326.322 * * [simplify]: Extracting #3: cost 44 inf + 0
326.323 * * [simplify]: Extracting #4: cost 83 inf + 2
326.324 * * [simplify]: Extracting #5: cost 154 inf + 88
326.326 * * [simplify]: Extracting #6: cost 126 inf + 5617
326.339 * * [simplify]: Extracting #7: cost 27 inf + 29998
326.358 * * [simplify]: Extracting #8: cost 1 inf + 36461
326.370 * * [simplify]: Extracting #9: cost 0 inf + 36743
326.383 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
326.384 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (+ phi2 phi1)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (+ phi1 phi2) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))))
326.384 * * * * [progress]: [ 392 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
326.384 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
326.385 * * [simplify]: iters left: 6 (50 enodes)
326.399 * * [simplify]: iters left: 5 (241 enodes)
326.468 * * [simplify]: Extracting #0: cost 1 inf + 0
326.468 * * [simplify]: Extracting #1: cost 3 inf + 0
326.468 * * [simplify]: Extracting #2: cost 10 inf + 0
326.468 * * [simplify]: Extracting #3: cost 75 inf + 0
326.469 * * [simplify]: Extracting #4: cost 142 inf + 1
326.470 * * [simplify]: Extracting #5: cost 180 inf + 207
326.475 * * [simplify]: Extracting #6: cost 239 inf + 2697
326.479 * * [simplify]: Extracting #7: cost 208 inf + 11844
326.487 * * [simplify]: Extracting #8: cost 157 inf + 24678
326.500 * * [simplify]: Extracting #9: cost 104 inf + 44726
326.511 * * [simplify]: Extracting #10: cost 64 inf + 58294
326.523 * * [simplify]: Extracting #11: cost 26 inf + 81844
326.543 * * [simplify]: Extracting #12: cost 5 inf + 102809
326.568 * * [simplify]: Extracting #13: cost 1 inf + 108229
326.612 * * [simplify]: Extracting #14: cost 0 inf + 109974
326.653 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))))
326.653 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
326.655 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
326.655 * * [simplify]: iters left: 6 (22 enodes)
326.665 * * [simplify]: iters left: 5 (99 enodes)
326.703 * * [simplify]: iters left: 4 (253 enodes)
326.822 * * [simplify]: Extracting #0: cost 1 inf + 0
326.822 * * [simplify]: Extracting #1: cost 3 inf + 0
326.823 * * [simplify]: Extracting #2: cost 28 inf + 0
326.823 * * [simplify]: Extracting #3: cost 105 inf + 0
326.825 * * [simplify]: Extracting #4: cost 172 inf + 372
326.827 * * [simplify]: Extracting #5: cost 234 inf + 1112
326.834 * * [simplify]: Extracting #6: cost 171 inf + 19664
326.860 * * [simplify]: Extracting #7: cost 21 inf + 64647
326.879 * * [simplify]: Extracting #8: cost 0 inf + 71111
326.904 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))
326.904 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
326.905 * * * * [progress]: [ 393 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
326.905 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
326.906 * * [simplify]: iters left: 6 (45 enodes)
326.918 * * [simplify]: iters left: 5 (213 enodes)
326.965 * * [simplify]: Extracting #0: cost 1 inf + 0
326.965 * * [simplify]: Extracting #1: cost 3 inf + 0
326.965 * * [simplify]: Extracting #2: cost 10 inf + 0
326.965 * * [simplify]: Extracting #3: cost 66 inf + 0
326.965 * * [simplify]: Extracting #4: cost 122 inf + 44
326.966 * * [simplify]: Extracting #5: cost 145 inf + 783
326.967 * * [simplify]: Extracting #6: cost 210 inf + 2934
326.968 * * [simplify]: Extracting #7: cost 214 inf + 3795
326.971 * * [simplify]: Extracting #8: cost 143 inf + 20054
326.983 * * [simplify]: Extracting #9: cost 34 inf + 69736
327.001 * * [simplify]: Extracting #10: cost 3 inf + 90273
327.023 * * [simplify]: Extracting #11: cost 0 inf + 92493
327.063 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (+ phi2 phi1)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))))))
327.063 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (+ phi2 phi1)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
327.064 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
327.064 * * [simplify]: iters left: 6 (18 enodes)
327.071 * * [simplify]: iters left: 5 (81 enodes)
327.086 * * [simplify]: iters left: 4 (196 enodes)
327.155 * * [simplify]: Extracting #0: cost 1 inf + 0
327.155 * * [simplify]: Extracting #1: cost 3 inf + 0
327.155 * * [simplify]: Extracting #2: cost 18 inf + 0
327.155 * * [simplify]: Extracting #3: cost 44 inf + 0
327.156 * * [simplify]: Extracting #4: cost 83 inf + 2
327.156 * * [simplify]: Extracting #5: cost 154 inf + 88
327.158 * * [simplify]: Extracting #6: cost 126 inf + 5617
327.164 * * [simplify]: Extracting #7: cost 27 inf + 29998
327.174 * * [simplify]: Extracting #8: cost 1 inf + 36461
327.184 * * [simplify]: Extracting #9: cost 0 inf + 36743
327.194 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
327.194 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (+ phi2 phi1)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (+ phi1 phi2) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))))
327.195 * * * * [progress]: [ 394 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
327.195 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
327.195 * * [simplify]: iters left: 6 (45 enodes)
327.208 * * [simplify]: iters left: 5 (214 enodes)
327.258 * * [simplify]: Extracting #0: cost 1 inf + 0
327.258 * * [simplify]: Extracting #1: cost 3 inf + 0
327.258 * * [simplify]: Extracting #2: cost 6 inf + 0
327.258 * * [simplify]: Extracting #3: cost 48 inf + 0
327.258 * * [simplify]: Extracting #4: cost 112 inf + 0
327.259 * * [simplify]: Extracting #5: cost 178 inf + 0
327.260 * * [simplify]: Extracting #6: cost 246 inf + 127
327.262 * * [simplify]: Extracting #7: cost 225 inf + 7043
327.269 * * [simplify]: Extracting #8: cost 124 inf + 29555
327.287 * * [simplify]: Extracting #9: cost 49 inf + 56110
327.317 * * [simplify]: Extracting #10: cost 9 inf + 90466
327.337 * * [simplify]: Extracting #11: cost 0 inf + 98929
327.373 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))
327.373 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
327.374 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
327.375 * * [simplify]: iters left: 6 (22 enodes)
327.385 * * [simplify]: iters left: 5 (99 enodes)
327.418 * * [simplify]: iters left: 4 (309 enodes)
327.565 * * [simplify]: Extracting #0: cost 1 inf + 0
327.565 * * [simplify]: Extracting #1: cost 3 inf + 0
327.565 * * [simplify]: Extracting #2: cost 36 inf + 0
327.566 * * [simplify]: Extracting #3: cost 262 inf + 0
327.569 * * [simplify]: Extracting #4: cost 430 inf + 692
327.576 * * [simplify]: Extracting #5: cost 438 inf + 12587
327.608 * * [simplify]: Extracting #6: cost 173 inf + 121220
327.680 * * [simplify]: Extracting #7: cost 4 inf + 193441
327.746 * * [simplify]: Extracting #8: cost 0 inf + 190415
327.809 * * [simplify]: Extracting #9: cost 0 inf + 190295
327.887 * [simplify]: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))))
327.887 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))))))
327.887 * * * * [progress]: [ 395 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
327.888 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
327.888 * * [simplify]: iters left: 6 (46 enodes)
327.901 * * [simplify]: iters left: 5 (223 enodes)
327.981 * * [simplify]: Extracting #0: cost 1 inf + 0
327.981 * * [simplify]: Extracting #1: cost 3 inf + 0
327.981 * * [simplify]: Extracting #2: cost 6 inf + 0
327.981 * * [simplify]: Extracting #3: cost 52 inf + 0
327.981 * * [simplify]: Extracting #4: cost 135 inf + 0
327.982 * * [simplify]: Extracting #5: cost 191 inf + 126
327.983 * * [simplify]: Extracting #6: cost 232 inf + 6000
327.985 * * [simplify]: Extracting #7: cost 195 inf + 13960
327.989 * * [simplify]: Extracting #8: cost 127 inf + 26606
328.000 * * [simplify]: Extracting #9: cost 59 inf + 51665
328.022 * * [simplify]: Extracting #10: cost 9 inf + 94009
328.062 * * [simplify]: Extracting #11: cost 0 inf + 101506
328.088 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))
328.088 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
328.089 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
328.089 * * [simplify]: iters left: 6 (23 enodes)
328.094 * * [simplify]: iters left: 5 (103 enodes)
328.127 * * [simplify]: iters left: 4 (306 enodes)
328.333 * * [simplify]: Extracting #0: cost 1 inf + 0
328.333 * * [simplify]: Extracting #1: cost 3 inf + 0
328.333 * * [simplify]: Extracting #2: cost 62 inf + 0
328.334 * * [simplify]: Extracting #3: cost 271 inf + 0
328.335 * * [simplify]: Extracting #4: cost 362 inf + 332
328.338 * * [simplify]: Extracting #5: cost 398 inf + 7534
328.373 * * [simplify]: Extracting #6: cost 182 inf + 98385
328.459 * * [simplify]: Extracting #7: cost 9 inf + 167360
328.549 * * [simplify]: Extracting #8: cost 0 inf + 166030
328.632 * * [simplify]: Extracting #9: cost 0 inf + 165790
328.701 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))))
328.702 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))))))
328.702 * * * * [progress]: [ 396 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
328.703 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
328.703 * * [simplify]: iters left: 6 (46 enodes)
328.717 * * [simplify]: iters left: 5 (223 enodes)
328.772 * * [simplify]: Extracting #0: cost 1 inf + 0
328.772 * * [simplify]: Extracting #1: cost 3 inf + 0
328.772 * * [simplify]: Extracting #2: cost 6 inf + 0
328.772 * * [simplify]: Extracting #3: cost 54 inf + 0
328.773 * * [simplify]: Extracting #4: cost 133 inf + 0
328.774 * * [simplify]: Extracting #5: cost 184 inf + 412
328.776 * * [simplify]: Extracting #6: cost 222 inf + 6391
328.780 * * [simplify]: Extracting #7: cost 192 inf + 14620
328.792 * * [simplify]: Extracting #8: cost 121 inf + 28091
328.807 * * [simplify]: Extracting #9: cost 57 inf + 52724
328.838 * * [simplify]: Extracting #10: cost 8 inf + 93147
328.861 * * [simplify]: Extracting #11: cost 0 inf + 99458
328.889 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (- phi1 phi2)))))))
328.889 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
328.890 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
328.890 * * [simplify]: iters left: 6 (23 enodes)
328.900 * * [simplify]: iters left: 5 (103 enodes)
328.940 * * [simplify]: iters left: 4 (304 enodes)
329.109 * * [simplify]: Extracting #0: cost 1 inf + 0
329.109 * * [simplify]: Extracting #1: cost 3 inf + 0
329.110 * * [simplify]: Extracting #2: cost 54 inf + 0
329.110 * * [simplify]: Extracting #3: cost 256 inf + 0
329.111 * * [simplify]: Extracting #4: cost 335 inf + 332
329.114 * * [simplify]: Extracting #5: cost 356 inf + 9405
329.131 * * [simplify]: Extracting #6: cost 193 inf + 77409
329.180 * * [simplify]: Extracting #7: cost 3 inf + 156445
329.237 * * [simplify]: Extracting #8: cost 0 inf + 150175
329.312 * * [simplify]: Extracting #9: cost 0 inf + 150135
329.368 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))
329.368 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))))))))
329.369 * * * * [progress]: [ 397 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
329.369 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
329.370 * * [simplify]: iters left: 6 (40 enodes)
329.382 * * [simplify]: iters left: 5 (187 enodes)
329.443 * * [simplify]: Extracting #0: cost 1 inf + 0
329.443 * * [simplify]: Extracting #1: cost 3 inf + 0
329.443 * * [simplify]: Extracting #2: cost 6 inf + 0
329.443 * * [simplify]: Extracting #3: cost 46 inf + 0
329.443 * * [simplify]: Extracting #4: cost 101 inf + 0
329.443 * * [simplify]: Extracting #5: cost 134 inf + 166
329.444 * * [simplify]: Extracting #6: cost 182 inf + 1639
329.445 * * [simplify]: Extracting #7: cost 177 inf + 3348
329.448 * * [simplify]: Extracting #8: cost 115 inf + 19187
329.455 * * [simplify]: Extracting #9: cost 62 inf + 39456
329.473 * * [simplify]: Extracting #10: cost 15 inf + 65593
329.490 * * [simplify]: Extracting #11: cost 0 inf + 78557
329.509 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) (* (- phi1 phi2) (+ phi2 phi1)))))
329.509 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) (* (- phi1 phi2) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
329.510 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))
329.510 * * [simplify]: iters left: 6 (18 enodes)
329.519 * * [simplify]: iters left: 5 (81 enodes)
329.550 * * [simplify]: iters left: 4 (234 enodes)
329.672 * * [simplify]: Extracting #0: cost 1 inf + 0
329.672 * * [simplify]: Extracting #1: cost 3 inf + 0
329.672 * * [simplify]: Extracting #2: cost 29 inf + 0
329.672 * * [simplify]: Extracting #3: cost 131 inf + 0
329.673 * * [simplify]: Extracting #4: cost 186 inf + 84
329.674 * * [simplify]: Extracting #5: cost 255 inf + 1346
329.682 * * [simplify]: Extracting #6: cost 147 inf + 32720
329.713 * * [simplify]: Extracting #7: cost 8 inf + 78669
329.738 * * [simplify]: Extracting #8: cost 0 inf + 77453
329.770 * * [simplify]: Extracting #9: cost 0 inf + 76933
329.811 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))))
329.811 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))))))
329.812 * * * * [progress]: [ 398 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
329.813 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
329.813 * * [simplify]: iters left: 6 (45 enodes)
329.837 * * [simplify]: iters left: 5 (216 enodes)
329.929 * * [simplify]: Extracting #0: cost 1 inf + 0
329.929 * * [simplify]: Extracting #1: cost 3 inf + 0
329.929 * * [simplify]: Extracting #2: cost 10 inf + 0
329.929 * * [simplify]: Extracting #3: cost 62 inf + 0
329.930 * * [simplify]: Extracting #4: cost 116 inf + 1
329.931 * * [simplify]: Extracting #5: cost 156 inf + 165
329.932 * * [simplify]: Extracting #6: cost 218 inf + 791
329.935 * * [simplify]: Extracting #7: cost 194 inf + 7599
329.945 * * [simplify]: Extracting #8: cost 101 inf + 35658
329.963 * * [simplify]: Extracting #9: cost 30 inf + 62463
329.983 * * [simplify]: Extracting #10: cost 2 inf + 89683
330.002 * * [simplify]: Extracting #11: cost 0 inf + 91493
330.032 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))))
330.032 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
330.033 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
330.033 * * [simplify]: iters left: 6 (21 enodes)
330.038 * * [simplify]: iters left: 5 (94 enodes)
330.058 * * [simplify]: iters left: 4 (245 enodes)
330.217 * * [simplify]: Extracting #0: cost 1 inf + 0
330.218 * * [simplify]: Extracting #1: cost 3 inf + 0
330.218 * * [simplify]: Extracting #2: cost 27 inf + 0
330.218 * * [simplify]: Extracting #3: cost 110 inf + 0
330.220 * * [simplify]: Extracting #4: cost 171 inf + 938
330.222 * * [simplify]: Extracting #5: cost 244 inf + 1270
330.230 * * [simplify]: Extracting #6: cost 177 inf + 19696
330.260 * * [simplify]: Extracting #7: cost 39 inf + 67439
330.310 * * [simplify]: Extracting #8: cost 2 inf + 84041
330.350 * * [simplify]: Extracting #9: cost 0 inf + 80127
330.374 * * [simplify]: Extracting #10: cost 0 inf + 79967
330.415 * [simplify]: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))
330.415 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))) (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))
330.417 * * * * [progress]: [ 399 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
330.417 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
330.418 * * [simplify]: iters left: 6 (40 enodes)
330.439 * * [simplify]: iters left: 5 (188 enodes)
330.514 * * [simplify]: iters left: 4 (486 enodes)
330.738 * * [simplify]: Extracting #0: cost 1 inf + 0
330.739 * * [simplify]: Extracting #1: cost 3 inf + 0
330.739 * * [simplify]: Extracting #2: cost 13 inf + 0
330.739 * * [simplify]: Extracting #3: cost 110 inf + 0
330.740 * * [simplify]: Extracting #4: cost 242 inf + 85
330.741 * * [simplify]: Extracting #5: cost 342 inf + 2814
330.752 * * [simplify]: Extracting #6: cost 463 inf + 6228
330.761 * * [simplify]: Extracting #7: cost 525 inf + 13212
330.779 * * [simplify]: Extracting #8: cost 388 inf + 48735
330.824 * * [simplify]: Extracting #9: cost 182 inf + 142907
330.891 * * [simplify]: Extracting #10: cost 27 inf + 216105
330.986 * * [simplify]: Extracting #11: cost 2 inf + 238677
331.077 * * [simplify]: Extracting #12: cost 0 inf + 240887
331.175 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))
331.176 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
331.176 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
331.176 * * [simplify]: iters left: 6 (17 enodes)
331.180 * * [simplify]: iters left: 5 (76 enodes)
331.197 * * [simplify]: iters left: 4 (188 enodes)
331.250 * * [simplify]: Extracting #0: cost 1 inf + 0
331.250 * * [simplify]: Extracting #1: cost 3 inf + 0
331.250 * * [simplify]: Extracting #2: cost 17 inf + 0
331.250 * * [simplify]: Extracting #3: cost 49 inf + 0
331.250 * * [simplify]: Extracting #4: cost 86 inf + 44
331.251 * * [simplify]: Extracting #5: cost 165 inf + 86
331.252 * * [simplify]: Extracting #6: cost 146 inf + 4299
331.258 * * [simplify]: Extracting #7: cost 36 inf + 32354
331.270 * * [simplify]: Extracting #8: cost 1 inf + 40677
331.287 * * [simplify]: Extracting #9: cost 0 inf + 39759
331.308 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))
331.308 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ phi1 phi2) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))))
331.309 * * * * [progress]: [ 400 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
331.310 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
331.310 * * [simplify]: iters left: 6 (45 enodes)
331.331 * * [simplify]: iters left: 5 (216 enodes)
331.386 * * [simplify]: Extracting #0: cost 1 inf + 0
331.387 * * [simplify]: Extracting #1: cost 3 inf + 0
331.387 * * [simplify]: Extracting #2: cost 10 inf + 0
331.387 * * [simplify]: Extracting #3: cost 62 inf + 0
331.387 * * [simplify]: Extracting #4: cost 116 inf + 1
331.387 * * [simplify]: Extracting #5: cost 156 inf + 165
331.390 * * [simplify]: Extracting #6: cost 211 inf + 2488
331.392 * * [simplify]: Extracting #7: cost 187 inf + 9274
331.400 * * [simplify]: Extracting #8: cost 100 inf + 36682
331.415 * * [simplify]: Extracting #9: cost 27 inf + 65418
331.431 * * [simplify]: Extracting #10: cost 3 inf + 88898
331.457 * * [simplify]: Extracting #11: cost 0 inf + 92293
331.483 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))))
331.483 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
331.484 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
331.484 * * [simplify]: iters left: 6 (21 enodes)
331.489 * * [simplify]: iters left: 5 (94 enodes)
331.513 * * [simplify]: iters left: 4 (245 enodes)
331.638 * * [simplify]: Extracting #0: cost 1 inf + 0
331.638 * * [simplify]: Extracting #1: cost 3 inf + 0
331.638 * * [simplify]: Extracting #2: cost 27 inf + 0
331.639 * * [simplify]: Extracting #3: cost 110 inf + 0
331.639 * * [simplify]: Extracting #4: cost 171 inf + 938
331.640 * * [simplify]: Extracting #5: cost 244 inf + 1270
331.646 * * [simplify]: Extracting #6: cost 177 inf + 19696
331.677 * * [simplify]: Extracting #7: cost 39 inf + 67439
331.713 * * [simplify]: Extracting #8: cost 2 inf + 84041
331.738 * * [simplify]: Extracting #9: cost 0 inf + 80127
331.785 * * [simplify]: Extracting #10: cost 0 inf + 79967
331.808 * [simplify]: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))
331.808 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))) (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))
331.809 * * * * [progress]: [ 401 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
331.809 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
331.810 * * [simplify]: iters left: 6 (40 enodes)
331.822 * * [simplify]: iters left: 5 (188 enodes)
331.873 * * [simplify]: iters left: 4 (486 enodes)
332.141 * * [simplify]: Extracting #0: cost 1 inf + 0
332.141 * * [simplify]: Extracting #1: cost 3 inf + 0
332.141 * * [simplify]: Extracting #2: cost 13 inf + 0
332.141 * * [simplify]: Extracting #3: cost 107 inf + 0
332.142 * * [simplify]: Extracting #4: cost 251 inf + 44
332.144 * * [simplify]: Extracting #5: cost 346 inf + 3420
332.146 * * [simplify]: Extracting #6: cost 469 inf + 6148
332.153 * * [simplify]: Extracting #7: cost 515 inf + 23315
332.194 * * [simplify]: Extracting #8: cost 222 inf + 124028
332.258 * * [simplify]: Extracting #9: cost 47 inf + 210012
332.337 * * [simplify]: Extracting #10: cost 3 inf + 241496
332.422 * * [simplify]: Extracting #11: cost 0 inf + 242905
332.518 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (* (- phi1 phi2) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (+ phi2 phi1)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1))))
332.518 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (* (- phi1 phi2) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (+ phi2 phi1)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1)))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
332.519 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
332.519 * * [simplify]: iters left: 6 (17 enodes)
332.523 * * [simplify]: iters left: 5 (76 enodes)
332.536 * * [simplify]: iters left: 4 (188 enodes)
332.586 * * [simplify]: Extracting #0: cost 1 inf + 0
332.586 * * [simplify]: Extracting #1: cost 3 inf + 0
332.586 * * [simplify]: Extracting #2: cost 17 inf + 0
332.587 * * [simplify]: Extracting #3: cost 49 inf + 0
332.587 * * [simplify]: Extracting #4: cost 86 inf + 44
332.587 * * [simplify]: Extracting #5: cost 165 inf + 86
332.588 * * [simplify]: Extracting #6: cost 146 inf + 4299
332.596 * * [simplify]: Extracting #7: cost 36 inf + 32354
332.616 * * [simplify]: Extracting #8: cost 1 inf + 40677
332.638 * * [simplify]: Extracting #9: cost 0 inf + 39759
332.658 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))
332.658 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (* (- phi1 phi2) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (+ phi2 phi1)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1)))) (sqrt (* (+ phi1 phi2) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))))
332.659 * * * * [progress]: [ 402 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
332.659 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
332.660 * * [simplify]: iters left: 6 (52 enodes)
332.673 * * [simplify]: iters left: 5 (255 enodes)
332.730 * * [simplify]: Extracting #0: cost 1 inf + 0
332.730 * * [simplify]: Extracting #1: cost 3 inf + 0
332.731 * * [simplify]: Extracting #2: cost 6 inf + 0
332.731 * * [simplify]: Extracting #3: cost 56 inf + 0
332.731 * * [simplify]: Extracting #4: cost 130 inf + 0
332.731 * * [simplify]: Extracting #5: cost 214 inf + 0
332.732 * * [simplify]: Extracting #6: cost 311 inf + 722
332.734 * * [simplify]: Extracting #7: cost 270 inf + 8365
332.739 * * [simplify]: Extracting #8: cost 141 inf + 39239
332.750 * * [simplify]: Extracting #9: cost 66 inf + 65277
332.772 * * [simplify]: Extracting #10: cost 18 inf + 110837
332.819 * * [simplify]: Extracting #11: cost 1 inf + 130260
332.858 * * [simplify]: Extracting #12: cost 0 inf + 132285
332.897 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
332.897 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
332.899 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
332.899 * * [simplify]: iters left: 6 (25 enodes)
332.911 * * [simplify]: iters left: 5 (117 enodes)
332.938 * * [simplify]: iters left: 4 (379 enodes)
333.224 * * [simplify]: Extracting #0: cost 1 inf + 0
333.224 * * [simplify]: Extracting #1: cost 3 inf + 0
333.224 * * [simplify]: Extracting #2: cost 45 inf + 0
333.225 * * [simplify]: Extracting #3: cost 302 inf + 0
333.227 * * [simplify]: Extracting #4: cost 498 inf + 126
333.230 * * [simplify]: Extracting #5: cost 502 inf + 12022
333.243 * * [simplify]: Extracting #6: cost 323 inf + 64092
333.286 * * [simplify]: Extracting #7: cost 136 inf + 146021
333.392 * * [simplify]: Extracting #8: cost 1 inf + 230891
333.455 * * [simplify]: Extracting #9: cost 0 inf + 231655
333.555 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))
333.555 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))))
333.556 * * * * [progress]: [ 403 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
333.557 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
333.558 * * [simplify]: iters left: 6 (53 enodes)
333.582 * * [simplify]: iters left: 5 (264 enodes)
333.653 * * [simplify]: Extracting #0: cost 1 inf + 0
333.653 * * [simplify]: Extracting #1: cost 3 inf + 0
333.653 * * [simplify]: Extracting #2: cost 6 inf + 0
333.653 * * [simplify]: Extracting #3: cost 60 inf + 0
333.654 * * [simplify]: Extracting #4: cost 153 inf + 0
333.654 * * [simplify]: Extracting #5: cost 228 inf + 44
333.656 * * [simplify]: Extracting #6: cost 288 inf + 4643
333.658 * * [simplify]: Extracting #7: cost 263 inf + 11179
333.662 * * [simplify]: Extracting #8: cost 184 inf + 24682
333.672 * * [simplify]: Extracting #9: cost 104 inf + 55395
333.696 * * [simplify]: Extracting #10: cost 55 inf + 77809
333.736 * * [simplify]: Extracting #11: cost 10 inf + 123452
333.763 * * [simplify]: Extracting #12: cost 0 inf + 135222
333.811 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
333.811 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
333.814 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
333.815 * * [simplify]: iters left: 6 (26 enodes)
333.828 * * [simplify]: iters left: 5 (121 enodes)
333.877 * * [simplify]: iters left: 4 (376 enodes)
334.101 * * [simplify]: Extracting #0: cost 1 inf + 0
334.101 * * [simplify]: Extracting #1: cost 3 inf + 0
334.101 * * [simplify]: Extracting #2: cost 70 inf + 0
334.102 * * [simplify]: Extracting #3: cost 327 inf + 0
334.104 * * [simplify]: Extracting #4: cost 458 inf + 85
334.107 * * [simplify]: Extracting #5: cost 502 inf + 3380
334.127 * * [simplify]: Extracting #6: cost 253 inf + 110372
334.196 * * [simplify]: Extracting #7: cost 15 inf + 223373
334.302 * * [simplify]: Extracting #8: cost 0 inf + 217446
334.385 * * [simplify]: Extracting #9: cost 0 inf + 217206
334.471 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))))
334.471 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)))))))
334.472 * * * * [progress]: [ 404 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
334.472 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
334.472 * * [simplify]: iters left: 6 (53 enodes)
334.492 * * [simplify]: iters left: 5 (264 enodes)
334.582 * * [simplify]: Extracting #0: cost 1 inf + 0
334.582 * * [simplify]: Extracting #1: cost 3 inf + 0
334.583 * * [simplify]: Extracting #2: cost 6 inf + 0
334.583 * * [simplify]: Extracting #3: cost 62 inf + 0
334.583 * * [simplify]: Extracting #4: cost 151 inf + 0
334.584 * * [simplify]: Extracting #5: cost 224 inf + 44
334.587 * * [simplify]: Extracting #6: cost 292 inf + 3585
334.592 * * [simplify]: Extracting #7: cost 253 inf + 12117
334.602 * * [simplify]: Extracting #8: cost 164 inf + 31870
334.623 * * [simplify]: Extracting #9: cost 68 inf + 68024
334.666 * * [simplify]: Extracting #10: cost 10 inf + 122484
334.717 * * [simplify]: Extracting #11: cost 0 inf + 134494
334.748 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
334.749 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
334.749 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
334.750 * * [simplify]: iters left: 6 (26 enodes)
334.756 * * [simplify]: iters left: 5 (121 enodes)
334.790 * * [simplify]: iters left: 4 (374 enodes)
335.029 * * [simplify]: Extracting #0: cost 1 inf + 0
335.029 * * [simplify]: Extracting #1: cost 3 inf + 0
335.029 * * [simplify]: Extracting #2: cost 62 inf + 0
335.030 * * [simplify]: Extracting #3: cost 305 inf + 0
335.034 * * [simplify]: Extracting #4: cost 419 inf + 126
335.039 * * [simplify]: Extracting #5: cost 451 inf + 5966
335.069 * * [simplify]: Extracting #6: cost 234 inf + 90016
335.148 * * [simplify]: Extracting #7: cost 5 inf + 204928
335.235 * * [simplify]: Extracting #8: cost 0 inf + 194062
335.317 * * [simplify]: Extracting #9: cost 0 inf + 193902
335.388 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
335.388 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
335.389 * * * * [progress]: [ 405 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
335.389 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
335.390 * * [simplify]: iters left: 6 (47 enodes)
335.402 * * [simplify]: iters left: 5 (228 enodes)
335.477 * * [simplify]: Extracting #0: cost 1 inf + 0
335.477 * * [simplify]: Extracting #1: cost 3 inf + 0
335.477 * * [simplify]: Extracting #2: cost 6 inf + 0
335.477 * * [simplify]: Extracting #3: cost 54 inf + 0
335.478 * * [simplify]: Extracting #4: cost 119 inf + 0
335.478 * * [simplify]: Extracting #5: cost 172 inf + 44
335.480 * * [simplify]: Extracting #6: cost 253 inf + 1273
335.483 * * [simplify]: Extracting #7: cost 240 inf + 3837
335.489 * * [simplify]: Extracting #8: cost 160 inf + 19876
335.502 * * [simplify]: Extracting #9: cost 99 inf + 40058
335.526 * * [simplify]: Extracting #10: cost 40 inf + 74120
335.563 * * [simplify]: Extracting #11: cost 3 inf + 106278
335.589 * * [simplify]: Extracting #12: cost 0 inf + 109553
335.630 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))
335.630 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
335.631 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))
335.631 * * [simplify]: iters left: 6 (21 enodes)
335.636 * * [simplify]: iters left: 5 (99 enodes)
335.656 * * [simplify]: iters left: 4 (304 enodes)
335.797 * * [simplify]: Extracting #0: cost 1 inf + 0
335.797 * * [simplify]: Extracting #1: cost 3 inf + 0
335.797 * * [simplify]: Extracting #2: cost 35 inf + 0
335.797 * * [simplify]: Extracting #3: cost 156 inf + 0
335.803 * * [simplify]: Extracting #4: cost 242 inf + 85
335.805 * * [simplify]: Extracting #5: cost 307 inf + 1024
335.809 * * [simplify]: Extracting #6: cost 272 inf + 4967
335.820 * * [simplify]: Extracting #7: cost 178 inf + 28964
335.840 * * [simplify]: Extracting #8: cost 27 inf + 85473
335.886 * * [simplify]: Extracting #9: cost 0 inf + 98481
335.937 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
335.937 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
335.938 * * * * [progress]: [ 406 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
335.938 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
335.939 * * [simplify]: iters left: 6 (52 enodes)
335.969 * * [simplify]: iters left: 5 (256 enodes)
336.046 * * [simplify]: Extracting #0: cost 1 inf + 0
336.046 * * [simplify]: Extracting #1: cost 3 inf + 0
336.046 * * [simplify]: Extracting #2: cost 10 inf + 0
336.046 * * [simplify]: Extracting #3: cost 74 inf + 0
336.047 * * [simplify]: Extracting #4: cost 136 inf + 42
336.048 * * [simplify]: Extracting #5: cost 194 inf + 207
336.049 * * [simplify]: Extracting #6: cost 276 inf + 2804
336.053 * * [simplify]: Extracting #7: cost 251 inf + 8359
336.064 * * [simplify]: Extracting #8: cost 176 inf + 23203
336.078 * * [simplify]: Extracting #9: cost 115 inf + 42366
336.103 * * [simplify]: Extracting #10: cost 44 inf + 77506
336.135 * * [simplify]: Extracting #11: cost 11 inf + 113569
336.163 * * [simplify]: Extracting #12: cost 0 inf + 124684
336.214 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))
336.214 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
336.215 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
336.215 * * [simplify]: iters left: 6 (24 enodes)
336.222 * * [simplify]: iters left: 5 (112 enodes)
336.250 * * [simplify]: iters left: 4 (321 enodes)
336.368 * * [simplify]: Extracting #0: cost 1 inf + 0
336.369 * * [simplify]: Extracting #1: cost 3 inf + 0
336.369 * * [simplify]: Extracting #2: cost 33 inf + 0
336.369 * * [simplify]: Extracting #3: cost 143 inf + 0
336.373 * * [simplify]: Extracting #4: cost 248 inf + 412
336.375 * * [simplify]: Extracting #5: cost 315 inf + 1188
336.380 * * [simplify]: Extracting #6: cost 223 inf + 26124
336.418 * * [simplify]: Extracting #7: cost 32 inf + 106320
336.462 * * [simplify]: Extracting #8: cost 0 inf + 114581
336.507 * * [simplify]: Extracting #9: cost 0 inf + 111221
336.550 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))
336.550 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))))
336.551 * * * * [progress]: [ 407 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
336.551 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
336.551 * * [simplify]: iters left: 6 (47 enodes)
336.563 * * [simplify]: iters left: 5 (228 enodes)
336.625 * * [simplify]: Extracting #0: cost 1 inf + 0
336.625 * * [simplify]: Extracting #1: cost 3 inf + 0
336.625 * * [simplify]: Extracting #2: cost 10 inf + 0
336.625 * * [simplify]: Extracting #3: cost 66 inf + 0
336.625 * * [simplify]: Extracting #4: cost 117 inf + 44
336.626 * * [simplify]: Extracting #5: cost 157 inf + 1186
336.628 * * [simplify]: Extracting #6: cost 241 inf + 2972
336.631 * * [simplify]: Extracting #7: cost 241 inf + 3587
336.639 * * [simplify]: Extracting #8: cost 144 inf + 24435
336.656 * * [simplify]: Extracting #9: cost 65 inf + 54421
336.686 * * [simplify]: Extracting #10: cost 13 inf + 91285
336.706 * * [simplify]: Extracting #11: cost 1 inf + 101818
336.741 * * [simplify]: Extracting #12: cost 0 inf + 103603
336.785 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
336.785 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
336.786 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))
336.786 * * [simplify]: iters left: 6 (20 enodes)
336.796 * * [simplify]: iters left: 5 (94 enodes)
336.831 * * [simplify]: iters left: 4 (264 enodes)
336.977 * * [simplify]: Extracting #0: cost 1 inf + 0
336.978 * * [simplify]: Extracting #1: cost 3 inf + 0
336.978 * * [simplify]: Extracting #2: cost 23 inf + 0
336.978 * * [simplify]: Extracting #3: cost 69 inf + 0
336.979 * * [simplify]: Extracting #4: cost 140 inf + 2
336.980 * * [simplify]: Extracting #5: cost 215 inf + 44
336.988 * * [simplify]: Extracting #6: cost 128 inf + 18624
337.014 * * [simplify]: Extracting #7: cost 5 inf + 58603
337.038 * * [simplify]: Extracting #8: cost 0 inf + 56416
337.053 * * [simplify]: Extracting #9: cost 0 inf + 56056
337.074 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))
337.074 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))))
337.075 * * * * [progress]: [ 408 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
337.075 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
337.076 * * [simplify]: iters left: 6 (52 enodes)
337.102 * * [simplify]: iters left: 5 (256 enodes)
337.216 * * [simplify]: Extracting #0: cost 1 inf + 0
337.216 * * [simplify]: Extracting #1: cost 3 inf + 0
337.216 * * [simplify]: Extracting #2: cost 10 inf + 0
337.217 * * [simplify]: Extracting #3: cost 74 inf + 0
337.217 * * [simplify]: Extracting #4: cost 136 inf + 42
337.218 * * [simplify]: Extracting #5: cost 194 inf + 207
337.220 * * [simplify]: Extracting #6: cost 271 inf + 3531
337.224 * * [simplify]: Extracting #7: cost 251 inf + 8479
337.230 * * [simplify]: Extracting #8: cost 176 inf + 23203
337.243 * * [simplify]: Extracting #9: cost 116 inf + 41522
337.265 * * [simplify]: Extracting #10: cost 43 inf + 78571
337.286 * * [simplify]: Extracting #11: cost 12 inf + 113784
337.329 * * [simplify]: Extracting #12: cost 0 inf + 125644
337.362 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))
337.362 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
337.363 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
337.363 * * [simplify]: iters left: 6 (24 enodes)
337.368 * * [simplify]: iters left: 5 (112 enodes)
337.393 * * [simplify]: iters left: 4 (321 enodes)
337.536 * * [simplify]: Extracting #0: cost 1 inf + 0
337.536 * * [simplify]: Extracting #1: cost 3 inf + 0
337.536 * * [simplify]: Extracting #2: cost 33 inf + 0
337.536 * * [simplify]: Extracting #3: cost 143 inf + 0
337.537 * * [simplify]: Extracting #4: cost 248 inf + 412
337.539 * * [simplify]: Extracting #5: cost 315 inf + 1188
337.544 * * [simplify]: Extracting #6: cost 223 inf + 26124
337.569 * * [simplify]: Extracting #7: cost 32 inf + 106320
337.606 * * [simplify]: Extracting #8: cost 0 inf + 114581
337.643 * * [simplify]: Extracting #9: cost 0 inf + 111221
337.686 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))
337.686 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))))
337.687 * * * * [progress]: [ 409 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
337.687 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
337.688 * * [simplify]: iters left: 6 (47 enodes)
337.712 * * [simplify]: iters left: 5 (228 enodes)
337.778 * * [simplify]: Extracting #0: cost 1 inf + 0
337.778 * * [simplify]: Extracting #1: cost 3 inf + 0
337.778 * * [simplify]: Extracting #2: cost 10 inf + 0
337.778 * * [simplify]: Extracting #3: cost 65 inf + 0
337.779 * * [simplify]: Extracting #4: cost 116 inf + 86
337.780 * * [simplify]: Extracting #5: cost 152 inf + 1876
337.782 * * [simplify]: Extracting #6: cost 241 inf + 2932
337.784 * * [simplify]: Extracting #7: cost 242 inf + 3466
337.788 * * [simplify]: Extracting #8: cost 145 inf + 23909
337.797 * * [simplify]: Extracting #9: cost 64 inf + 55012
337.816 * * [simplify]: Extracting #10: cost 14 inf + 90740
337.846 * * [simplify]: Extracting #11: cost 1 inf + 102058
337.871 * * [simplify]: Extracting #12: cost 0 inf + 103843
337.892 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
337.892 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
337.893 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))
337.893 * * [simplify]: iters left: 6 (20 enodes)
337.902 * * [simplify]: iters left: 5 (94 enodes)
337.938 * * [simplify]: iters left: 4 (264 enodes)
338.057 * * [simplify]: Extracting #0: cost 1 inf + 0
338.057 * * [simplify]: Extracting #1: cost 3 inf + 0
338.057 * * [simplify]: Extracting #2: cost 23 inf + 0
338.057 * * [simplify]: Extracting #3: cost 69 inf + 0
338.058 * * [simplify]: Extracting #4: cost 140 inf + 2
338.058 * * [simplify]: Extracting #5: cost 215 inf + 44
338.062 * * [simplify]: Extracting #6: cost 128 inf + 18624
338.082 * * [simplify]: Extracting #7: cost 5 inf + 58603
338.113 * * [simplify]: Extracting #8: cost 0 inf + 56416
338.143 * * [simplify]: Extracting #9: cost 0 inf + 56056
338.172 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))
338.172 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))))
338.173 * * * * [progress]: [ 410 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
338.174 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
338.175 * * [simplify]: iters left: 6 (52 enodes)
338.206 * * [simplify]: iters left: 5 (254 enodes)
338.284 * * [simplify]: Extracting #0: cost 1 inf + 0
338.284 * * [simplify]: Extracting #1: cost 3 inf + 0
338.284 * * [simplify]: Extracting #2: cost 6 inf + 0
338.285 * * [simplify]: Extracting #3: cost 56 inf + 0
338.285 * * [simplify]: Extracting #4: cost 130 inf + 0
338.286 * * [simplify]: Extracting #5: cost 215 inf + 0
338.288 * * [simplify]: Extracting #6: cost 302 inf + 1688
338.291 * * [simplify]: Extracting #7: cost 255 inf + 12227
338.304 * * [simplify]: Extracting #8: cost 149 inf + 33413
338.321 * * [simplify]: Extracting #9: cost 68 inf + 63514
338.341 * * [simplify]: Extracting #10: cost 17 inf + 108865
338.386 * * [simplify]: Extracting #11: cost 1 inf + 126423
338.426 * * [simplify]: Extracting #12: cost 0 inf + 128368
338.456 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))))
338.456 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
338.457 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
338.457 * * [simplify]: iters left: 6 (25 enodes)
338.469 * * [simplify]: iters left: 5 (117 enodes)
338.518 * * [simplify]: iters left: 4 (377 enodes)
338.723 * * [simplify]: Extracting #0: cost 1 inf + 0
338.723 * * [simplify]: Extracting #1: cost 3 inf + 0
338.723 * * [simplify]: Extracting #2: cost 46 inf + 0
338.725 * * [simplify]: Extracting #3: cost 318 inf + 0
338.728 * * [simplify]: Extracting #4: cost 507 inf + 329
338.733 * * [simplify]: Extracting #5: cost 524 inf + 13027
338.758 * * [simplify]: Extracting #6: cost 243 inf + 134960
338.857 * * [simplify]: Extracting #7: cost 5 inf + 250408
338.945 * * [simplify]: Extracting #8: cost 0 inf + 239622
339.042 * * [simplify]: Extracting #9: cost 0 inf + 239462
339.134 * [simplify]: Simplified to (sqrt (* (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))
339.134 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))
339.136 * * * * [progress]: [ 411 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
339.136 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
339.137 * * [simplify]: iters left: 6 (53 enodes)
339.156 * * [simplify]: iters left: 5 (263 enodes)
339.244 * * [simplify]: Extracting #0: cost 1 inf + 0
339.244 * * [simplify]: Extracting #1: cost 3 inf + 0
339.244 * * [simplify]: Extracting #2: cost 6 inf + 0
339.245 * * [simplify]: Extracting #3: cost 60 inf + 0
339.245 * * [simplify]: Extracting #4: cost 153 inf + 0
339.246 * * [simplify]: Extracting #5: cost 228 inf + 85
339.248 * * [simplify]: Extracting #6: cost 280 inf + 4562
339.253 * * [simplify]: Extracting #7: cost 253 inf + 12405
339.265 * * [simplify]: Extracting #8: cost 175 inf + 25107
339.279 * * [simplify]: Extracting #9: cost 107 inf + 52412
339.297 * * [simplify]: Extracting #10: cost 48 inf + 81305
339.320 * * [simplify]: Extracting #11: cost 9 inf + 122120
339.356 * * [simplify]: Extracting #12: cost 0 inf + 133145
339.403 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2)))))) (cbrt (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
339.403 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2)))))) (cbrt (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
339.404 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
339.404 * * [simplify]: iters left: 6 (26 enodes)
339.410 * * [simplify]: iters left: 5 (121 enodes)
339.441 * * [simplify]: iters left: 4 (374 enodes)
339.665 * * [simplify]: Extracting #0: cost 1 inf + 0
339.665 * * [simplify]: Extracting #1: cost 3 inf + 0
339.665 * * [simplify]: Extracting #2: cost 68 inf + 0
339.667 * * [simplify]: Extracting #3: cost 323 inf + 0
339.670 * * [simplify]: Extracting #4: cost 435 inf + 1059
339.676 * * [simplify]: Extracting #5: cost 478 inf + 7339
339.696 * * [simplify]: Extracting #6: cost 329 inf + 54362
339.729 * * [simplify]: Extracting #7: cost 138 inf + 131816
339.804 * * [simplify]: Extracting #8: cost 5 inf + 209050
339.872 * * [simplify]: Extracting #9: cost 0 inf + 212389
339.967 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1))))
339.968 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2)))))) (cbrt (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)))))))
339.969 * * * * [progress]: [ 412 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
339.969 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
339.970 * * [simplify]: iters left: 6 (53 enodes)
339.997 * * [simplify]: iters left: 5 (263 enodes)
340.095 * * [simplify]: Extracting #0: cost 1 inf + 0
340.095 * * [simplify]: Extracting #1: cost 3 inf + 0
340.095 * * [simplify]: Extracting #2: cost 6 inf + 0
340.095 * * [simplify]: Extracting #3: cost 62 inf + 0
340.095 * * [simplify]: Extracting #4: cost 151 inf + 0
340.097 * * [simplify]: Extracting #5: cost 225 inf + 44
340.099 * * [simplify]: Extracting #6: cost 284 inf + 3549
340.104 * * [simplify]: Extracting #7: cost 250 inf + 12062
340.111 * * [simplify]: Extracting #8: cost 177 inf + 25411
340.120 * * [simplify]: Extracting #9: cost 104 inf + 52434
340.134 * * [simplify]: Extracting #10: cost 53 inf + 76974
340.163 * * [simplify]: Extracting #11: cost 36 inf + 89157
340.198 * * [simplify]: Extracting #12: cost 3 inf + 126422
340.227 * * [simplify]: Extracting #13: cost 0 inf + 131857
340.259 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
340.259 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
340.261 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
340.261 * * [simplify]: iters left: 6 (26 enodes)
340.274 * * [simplify]: iters left: 5 (121 enodes)
340.323 * * [simplify]: iters left: 4 (372 enodes)
340.556 * * [simplify]: Extracting #0: cost 1 inf + 0
340.556 * * [simplify]: Extracting #1: cost 3 inf + 0
340.556 * * [simplify]: Extracting #2: cost 62 inf + 0
340.557 * * [simplify]: Extracting #3: cost 297 inf + 0
340.560 * * [simplify]: Extracting #4: cost 399 inf + 576
340.566 * * [simplify]: Extracting #5: cost 433 inf + 7833
340.595 * * [simplify]: Extracting #6: cost 221 inf + 93010
340.658 * * [simplify]: Extracting #7: cost 6 inf + 197217
340.738 * * [simplify]: Extracting #8: cost 0 inf + 188597
340.827 * * [simplify]: Extracting #9: cost 0 inf + 188237
340.883 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
340.883 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
340.883 * * * * [progress]: [ 413 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
340.884 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
340.884 * * [simplify]: iters left: 6 (47 enodes)
340.902 * * [simplify]: iters left: 5 (227 enodes)
340.976 * * [simplify]: Extracting #0: cost 1 inf + 0
340.976 * * [simplify]: Extracting #1: cost 3 inf + 0
340.976 * * [simplify]: Extracting #2: cost 6 inf + 0
340.976 * * [simplify]: Extracting #3: cost 54 inf + 0
340.976 * * [simplify]: Extracting #4: cost 119 inf + 0
340.976 * * [simplify]: Extracting #5: cost 173 inf + 44
340.977 * * [simplify]: Extracting #6: cost 247 inf + 1193
340.980 * * [simplify]: Extracting #7: cost 230 inf + 4121
340.988 * * [simplify]: Extracting #8: cost 138 inf + 25008
341.000 * * [simplify]: Extracting #9: cost 68 inf + 53494
341.014 * * [simplify]: Extracting #10: cost 26 inf + 82331
341.050 * * [simplify]: Extracting #11: cost 1 inf + 108331
341.097 * * [simplify]: Extracting #12: cost 0 inf + 109716
341.143 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))))))
341.143 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
341.145 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))
341.145 * * [simplify]: iters left: 6 (21 enodes)
341.150 * * [simplify]: iters left: 5 (99 enodes)
341.169 * * [simplify]: iters left: 4 (302 enodes)
341.318 * * [simplify]: Extracting #0: cost 1 inf + 0
341.318 * * [simplify]: Extracting #1: cost 3 inf + 0
341.318 * * [simplify]: Extracting #2: cost 35 inf + 0
341.318 * * [simplify]: Extracting #3: cost 157 inf + 0
341.319 * * [simplify]: Extracting #4: cost 233 inf + 43
341.320 * * [simplify]: Extracting #5: cost 312 inf + 333
341.326 * * [simplify]: Extracting #6: cost 190 inf + 34111
341.361 * * [simplify]: Extracting #7: cost 11 inf + 100206
341.403 * * [simplify]: Extracting #8: cost 0 inf + 98279
341.436 * * [simplify]: Extracting #9: cost 0 inf + 97679
341.462 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (+ phi1 phi2))))
341.462 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
341.463 * * * * [progress]: [ 414 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
341.463 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
341.463 * * [simplify]: iters left: 6 (52 enodes)
341.476 * * [simplify]: iters left: 5 (255 enodes)
341.563 * * [simplify]: Extracting #0: cost 1 inf + 0
341.563 * * [simplify]: Extracting #1: cost 3 inf + 0
341.563 * * [simplify]: Extracting #2: cost 10 inf + 0
341.564 * * [simplify]: Extracting #3: cost 74 inf + 0
341.564 * * [simplify]: Extracting #4: cost 137 inf + 1
341.565 * * [simplify]: Extracting #5: cost 195 inf + 207
341.567 * * [simplify]: Extracting #6: cost 265 inf + 3010
341.571 * * [simplify]: Extracting #7: cost 249 inf + 7378
341.577 * * [simplify]: Extracting #8: cost 168 inf + 22073
341.588 * * [simplify]: Extracting #9: cost 109 inf + 43162
341.602 * * [simplify]: Extracting #10: cost 51 inf + 71452
341.617 * * [simplify]: Extracting #11: cost 29 inf + 91202
341.645 * * [simplify]: Extracting #12: cost 1 inf + 121462
341.672 * * [simplify]: Extracting #13: cost 0 inf + 123407
341.710 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))
341.710 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
341.711 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
341.712 * * [simplify]: iters left: 6 (24 enodes)
341.717 * * [simplify]: iters left: 5 (112 enodes)
341.738 * * [simplify]: iters left: 4 (319 enodes)
341.867 * * [simplify]: Extracting #0: cost 1 inf + 0
341.867 * * [simplify]: Extracting #1: cost 3 inf + 0
341.867 * * [simplify]: Extracting #2: cost 33 inf + 0
341.867 * * [simplify]: Extracting #3: cost 144 inf + 0
341.869 * * [simplify]: Extracting #4: cost 239 inf + 412
341.872 * * [simplify]: Extracting #5: cost 312 inf + 1270
341.879 * * [simplify]: Extracting #6: cost 237 inf + 17195
341.903 * * [simplify]: Extracting #7: cost 93 inf + 64493
341.932 * * [simplify]: Extracting #8: cost 11 inf + 104257
341.982 * * [simplify]: Extracting #9: cost 0 inf + 110579
342.014 * [simplify]: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
342.014 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
342.014 * * * * [progress]: [ 415 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
342.015 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
342.015 * * [simplify]: iters left: 6 (47 enodes)
342.032 * * [simplify]: iters left: 5 (227 enodes)
342.088 * * [simplify]: Extracting #0: cost 1 inf + 0
342.088 * * [simplify]: Extracting #1: cost 3 inf + 0
342.088 * * [simplify]: Extracting #2: cost 10 inf + 0
342.088 * * [simplify]: Extracting #3: cost 66 inf + 0
342.089 * * [simplify]: Extracting #4: cost 117 inf + 44
342.090 * * [simplify]: Extracting #5: cost 157 inf + 1228
342.092 * * [simplify]: Extracting #6: cost 234 inf + 2932
342.094 * * [simplify]: Extracting #7: cost 233 inf + 3591
342.101 * * [simplify]: Extracting #8: cost 145 inf + 21402
342.119 * * [simplify]: Extracting #9: cost 60 inf + 56601
342.150 * * [simplify]: Extracting #10: cost 14 inf + 89838
342.191 * * [simplify]: Extracting #11: cost 1 inf + 100621
342.231 * * [simplify]: Extracting #12: cost 0 inf + 102406
342.271 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
342.272 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
342.273 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
342.273 * * [simplify]: iters left: 6 (20 enodes)
342.282 * * [simplify]: iters left: 5 (94 enodes)
342.312 * * [simplify]: iters left: 4 (262 enodes)
342.385 * * [simplify]: Extracting #0: cost 1 inf + 0
342.385 * * [simplify]: Extracting #1: cost 3 inf + 0
342.385 * * [simplify]: Extracting #2: cost 23 inf + 0
342.386 * * [simplify]: Extracting #3: cost 69 inf + 0
342.386 * * [simplify]: Extracting #4: cost 130 inf + 2
342.387 * * [simplify]: Extracting #5: cost 211 inf + 44
342.393 * * [simplify]: Extracting #6: cost 122 inf + 20276
342.406 * * [simplify]: Extracting #7: cost 7 inf + 55347
342.429 * * [simplify]: Extracting #8: cost 0 inf + 54487
342.457 * * [simplify]: Extracting #9: cost 0 inf + 54007
342.485 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))
342.485 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))))
342.486 * * * * [progress]: [ 416 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
342.487 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
342.487 * * [simplify]: iters left: 6 (52 enodes)
342.515 * * [simplify]: iters left: 5 (255 enodes)
342.597 * * [simplify]: Extracting #0: cost 1 inf + 0
342.597 * * [simplify]: Extracting #1: cost 3 inf + 0
342.597 * * [simplify]: Extracting #2: cost 10 inf + 0
342.597 * * [simplify]: Extracting #3: cost 74 inf + 0
342.598 * * [simplify]: Extracting #4: cost 137 inf + 1
342.599 * * [simplify]: Extracting #5: cost 195 inf + 207
342.601 * * [simplify]: Extracting #6: cost 266 inf + 2927
342.604 * * [simplify]: Extracting #7: cost 246 inf + 8626
342.611 * * [simplify]: Extracting #8: cost 166 inf + 21836
342.623 * * [simplify]: Extracting #9: cost 114 inf + 40108
342.643 * * [simplify]: Extracting #10: cost 63 inf + 63585
342.674 * * [simplify]: Extracting #11: cost 35 inf + 83172
342.717 * * [simplify]: Extracting #12: cost 3 inf + 119172
342.766 * * [simplify]: Extracting #13: cost 0 inf + 124367
342.796 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))
342.796 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
342.797 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
342.798 * * [simplify]: iters left: 6 (24 enodes)
342.809 * * [simplify]: iters left: 5 (112 enodes)
342.854 * * [simplify]: iters left: 4 (319 enodes)
342.973 * * [simplify]: Extracting #0: cost 1 inf + 0
342.973 * * [simplify]: Extracting #1: cost 3 inf + 0
342.973 * * [simplify]: Extracting #2: cost 33 inf + 0
342.973 * * [simplify]: Extracting #3: cost 144 inf + 0
342.974 * * [simplify]: Extracting #4: cost 239 inf + 412
342.975 * * [simplify]: Extracting #5: cost 312 inf + 1270
342.979 * * [simplify]: Extracting #6: cost 237 inf + 17195
343.005 * * [simplify]: Extracting #7: cost 93 inf + 64493
343.053 * * [simplify]: Extracting #8: cost 11 inf + 104257
343.108 * * [simplify]: Extracting #9: cost 0 inf + 110579
343.145 * [simplify]: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
343.146 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
343.146 * * * * [progress]: [ 417 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
343.147 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
343.147 * * [simplify]: iters left: 6 (47 enodes)
343.163 * * [simplify]: iters left: 5 (227 enodes)
343.254 * * [simplify]: Extracting #0: cost 1 inf + 0
343.254 * * [simplify]: Extracting #1: cost 3 inf + 0
343.254 * * [simplify]: Extracting #2: cost 10 inf + 0
343.254 * * [simplify]: Extracting #3: cost 65 inf + 0
343.255 * * [simplify]: Extracting #4: cost 116 inf + 86
343.256 * * [simplify]: Extracting #5: cost 153 inf + 1836
343.258 * * [simplify]: Extracting #6: cost 234 inf + 2932
343.260 * * [simplify]: Extracting #7: cost 233 inf + 3591
343.267 * * [simplify]: Extracting #8: cost 145 inf + 21523
343.288 * * [simplify]: Extracting #9: cost 60 inf + 56843
343.308 * * [simplify]: Extracting #10: cost 14 inf + 89876
343.330 * * [simplify]: Extracting #11: cost 1 inf + 101021
343.363 * * [simplify]: Extracting #12: cost 0 inf + 102806
343.384 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
343.384 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
343.385 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
343.385 * * [simplify]: iters left: 6 (20 enodes)
343.394 * * [simplify]: iters left: 5 (94 enodes)
343.431 * * [simplify]: iters left: 4 (262 enodes)
343.514 * * [simplify]: Extracting #0: cost 1 inf + 0
343.514 * * [simplify]: Extracting #1: cost 3 inf + 0
343.514 * * [simplify]: Extracting #2: cost 23 inf + 0
343.515 * * [simplify]: Extracting #3: cost 69 inf + 0
343.515 * * [simplify]: Extracting #4: cost 130 inf + 2
343.517 * * [simplify]: Extracting #5: cost 211 inf + 44
343.524 * * [simplify]: Extracting #6: cost 122 inf + 20276
343.552 * * [simplify]: Extracting #7: cost 7 inf + 55347
343.581 * * [simplify]: Extracting #8: cost 0 inf + 54487
343.600 * * [simplify]: Extracting #9: cost 0 inf + 54007
343.614 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))
343.615 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))))
343.615 * * * * [progress]: [ 418 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
343.615 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
343.616 * * [simplify]: iters left: 6 (52 enodes)
343.640 * * [simplify]: iters left: 5 (255 enodes)
343.724 * * [simplify]: Extracting #0: cost 1 inf + 0
343.724 * * [simplify]: Extracting #1: cost 3 inf + 0
343.724 * * [simplify]: Extracting #2: cost 6 inf + 0
343.724 * * [simplify]: Extracting #3: cost 56 inf + 0
343.724 * * [simplify]: Extracting #4: cost 130 inf + 0
343.725 * * [simplify]: Extracting #5: cost 207 inf + 0
343.726 * * [simplify]: Extracting #6: cost 298 inf + 933
343.730 * * [simplify]: Extracting #7: cost 262 inf + 7787
343.735 * * [simplify]: Extracting #8: cost 149 inf + 34798
343.745 * * [simplify]: Extracting #9: cost 68 inf + 62935
343.764 * * [simplify]: Extracting #10: cost 20 inf + 104800
343.793 * * [simplify]: Extracting #11: cost 4 inf + 120306
343.840 * * [simplify]: Extracting #12: cost 0 inf + 127145
343.885 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))))
343.885 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
343.886 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
343.886 * * [simplify]: iters left: 6 (25 enodes)
343.892 * * [simplify]: iters left: 5 (116 enodes)
343.924 * * [simplify]: iters left: 4 (344 enodes)
344.123 * * [simplify]: Extracting #0: cost 1 inf + 0
344.123 * * [simplify]: Extracting #1: cost 3 inf + 0
344.123 * * [simplify]: Extracting #2: cost 44 inf + 0
344.124 * * [simplify]: Extracting #3: cost 313 inf + 0
344.126 * * [simplify]: Extracting #4: cost 494 inf + 1540
344.134 * * [simplify]: Extracting #5: cost 539 inf + 16149
344.147 * * [simplify]: Extracting #6: cost 411 inf + 50279
344.188 * * [simplify]: Extracting #7: cost 165 inf + 138407
344.274 * * [simplify]: Extracting #8: cost 5 inf + 237711
344.373 * * [simplify]: Extracting #9: cost 0 inf + 241531
344.461 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))
344.461 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))))
344.462 * * * * [progress]: [ 419 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
344.462 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
344.462 * * [simplify]: iters left: 6 (53 enodes)
344.476 * * [simplify]: iters left: 5 (264 enodes)
344.550 * * [simplify]: Extracting #0: cost 1 inf + 0
344.551 * * [simplify]: Extracting #1: cost 3 inf + 0
344.551 * * [simplify]: Extracting #2: cost 6 inf + 0
344.551 * * [simplify]: Extracting #3: cost 60 inf + 0
344.551 * * [simplify]: Extracting #4: cost 153 inf + 0
344.552 * * [simplify]: Extracting #5: cost 221 inf + 44
344.555 * * [simplify]: Extracting #6: cost 275 inf + 4803
344.561 * * [simplify]: Extracting #7: cost 243 inf + 11600
344.569 * * [simplify]: Extracting #8: cost 177 inf + 25254
344.583 * * [simplify]: Extracting #9: cost 116 inf + 44527
344.607 * * [simplify]: Extracting #10: cost 52 inf + 75264
344.648 * * [simplify]: Extracting #11: cost 8 inf + 120282
344.682 * * [simplify]: Extracting #12: cost 0 inf + 129962
344.708 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
344.708 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
344.709 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
344.709 * * [simplify]: iters left: 6 (26 enodes)
344.715 * * [simplify]: iters left: 5 (120 enodes)
344.739 * * [simplify]: iters left: 4 (341 enodes)
344.972 * * [simplify]: Extracting #0: cost 1 inf + 0
344.972 * * [simplify]: Extracting #1: cost 3 inf + 0
344.972 * * [simplify]: Extracting #2: cost 68 inf + 0
344.973 * * [simplify]: Extracting #3: cost 321 inf + 0
344.976 * * [simplify]: Extracting #4: cost 435 inf + 494
344.983 * * [simplify]: Extracting #5: cost 515 inf + 9236
344.993 * * [simplify]: Extracting #6: cost 426 inf + 31272
345.030 * * [simplify]: Extracting #7: cost 131 inf + 141662
345.118 * * [simplify]: Extracting #8: cost 1 inf + 214762
345.180 * * [simplify]: Extracting #9: cost 0 inf + 215406
345.246 * [simplify]: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
345.247 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
345.248 * * * * [progress]: [ 420 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
345.248 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
345.249 * * [simplify]: iters left: 6 (53 enodes)
345.276 * * [simplify]: iters left: 5 (264 enodes)
345.390 * * [simplify]: Extracting #0: cost 1 inf + 0
345.390 * * [simplify]: Extracting #1: cost 3 inf + 0
345.390 * * [simplify]: Extracting #2: cost 6 inf + 0
345.390 * * [simplify]: Extracting #3: cost 62 inf + 0
345.391 * * [simplify]: Extracting #4: cost 151 inf + 0
345.392 * * [simplify]: Extracting #5: cost 217 inf + 44
345.394 * * [simplify]: Extracting #6: cost 274 inf + 4475
345.399 * * [simplify]: Extracting #7: cost 243 inf + 11912
345.407 * * [simplify]: Extracting #8: cost 179 inf + 23430
345.421 * * [simplify]: Extracting #9: cost 119 inf + 43727
345.437 * * [simplify]: Extracting #10: cost 52 inf + 75056
345.457 * * [simplify]: Extracting #11: cost 15 inf + 112259
345.497 * * [simplify]: Extracting #12: cost 0 inf + 127994
345.551 * * [simplify]: Extracting #13: cost 0 inf + 127554
345.585 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
345.585 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
345.586 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
345.586 * * [simplify]: iters left: 6 (26 enodes)
345.592 * * [simplify]: iters left: 5 (120 enodes)
345.624 * * [simplify]: iters left: 4 (339 enodes)
345.856 * * [simplify]: Extracting #0: cost 1 inf + 0
345.856 * * [simplify]: Extracting #1: cost 3 inf + 0
345.857 * * [simplify]: Extracting #2: cost 62 inf + 0
345.858 * * [simplify]: Extracting #3: cost 308 inf + 0
345.861 * * [simplify]: Extracting #4: cost 412 inf + 126
345.867 * * [simplify]: Extracting #5: cost 500 inf + 6413
345.880 * * [simplify]: Extracting #6: cost 391 inf + 30574
345.906 * * [simplify]: Extracting #7: cost 150 inf + 110283
345.960 * * [simplify]: Extracting #8: cost 0 inf + 196854
346.030 * [simplify]: Simplified to (sqrt (* (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
346.030 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
346.031 * * * * [progress]: [ 421 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
346.032 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
346.032 * * [simplify]: iters left: 6 (47 enodes)
346.056 * * [simplify]: iters left: 5 (228 enodes)
346.136 * * [simplify]: Extracting #0: cost 1 inf + 0
346.136 * * [simplify]: Extracting #1: cost 3 inf + 0
346.136 * * [simplify]: Extracting #2: cost 6 inf + 0
346.136 * * [simplify]: Extracting #3: cost 54 inf + 0
346.136 * * [simplify]: Extracting #4: cost 119 inf + 0
346.137 * * [simplify]: Extracting #5: cost 165 inf + 44
346.137 * * [simplify]: Extracting #6: cost 241 inf + 1152
346.139 * * [simplify]: Extracting #7: cost 224 inf + 4001
346.142 * * [simplify]: Extracting #8: cost 161 inf + 20139
346.149 * * [simplify]: Extracting #9: cost 83 inf + 48109
346.160 * * [simplify]: Extracting #10: cost 46 inf + 61756
346.173 * * [simplify]: Extracting #11: cost 27 inf + 74218
346.210 * * [simplify]: Extracting #12: cost 3 inf + 99938
346.254 * * [simplify]: Extracting #13: cost 1 inf + 103628
346.276 * * [simplify]: Extracting #14: cost 0 inf + 105493
346.309 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))))
346.309 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
346.310 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))
346.310 * * [simplify]: iters left: 6 (21 enodes)
346.315 * * [simplify]: iters left: 5 (98 enodes)
346.338 * * [simplify]: iters left: 4 (268 enodes)
346.472 * * [simplify]: Extracting #0: cost 1 inf + 0
346.472 * * [simplify]: Extracting #1: cost 3 inf + 0
346.472 * * [simplify]: Extracting #2: cost 37 inf + 0
346.473 * * [simplify]: Extracting #3: cost 162 inf + 0
346.474 * * [simplify]: Extracting #4: cost 225 inf + 85
346.476 * * [simplify]: Extracting #5: cost 307 inf + 1024
346.487 * * [simplify]: Extracting #6: cost 212 inf + 29133
346.526 * * [simplify]: Extracting #7: cost 25 inf + 90844
346.570 * * [simplify]: Extracting #8: cost 0 inf + 100093
346.617 * * [simplify]: Extracting #9: cost 0 inf + 99533
346.642 * [simplify]: Simplified to (sqrt (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
346.642 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
346.643 * * * * [progress]: [ 422 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
346.643 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
346.644 * * [simplify]: iters left: 6 (52 enodes)
346.663 * * [simplify]: iters left: 5 (256 enodes)
346.768 * * [simplify]: Extracting #0: cost 1 inf + 0
346.768 * * [simplify]: Extracting #1: cost 3 inf + 0
346.768 * * [simplify]: Extracting #2: cost 10 inf + 0
346.768 * * [simplify]: Extracting #3: cost 74 inf + 0
346.769 * * [simplify]: Extracting #4: cost 137 inf + 1
346.770 * * [simplify]: Extracting #5: cost 187 inf + 207
346.772 * * [simplify]: Extracting #6: cost 265 inf + 2080
346.776 * * [simplify]: Extracting #7: cost 233 inf + 9522
346.785 * * [simplify]: Extracting #8: cost 145 inf + 34200
346.805 * * [simplify]: Extracting #9: cost 62 inf + 63799
346.842 * * [simplify]: Extracting #10: cost 9 inf + 108262
346.868 * * [simplify]: Extracting #11: cost 0 inf + 119904
346.904 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))))
346.904 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
346.905 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
346.905 * * [simplify]: iters left: 6 (24 enodes)
346.917 * * [simplify]: iters left: 5 (111 enodes)
346.947 * * [simplify]: iters left: 4 (286 enodes)
347.071 * * [simplify]: Extracting #0: cost 1 inf + 0
347.071 * * [simplify]: Extracting #1: cost 3 inf + 0
347.071 * * [simplify]: Extracting #2: cost 33 inf + 0
347.071 * * [simplify]: Extracting #3: cost 144 inf + 0
347.072 * * [simplify]: Extracting #4: cost 239 inf + 168
347.073 * * [simplify]: Extracting #5: cost 373 inf + 782
347.079 * * [simplify]: Extracting #6: cost 292 inf + 16600
347.112 * * [simplify]: Extracting #7: cost 82 inf + 79586
347.164 * * [simplify]: Extracting #8: cost 2 inf + 118694
347.219 * * [simplify]: Extracting #9: cost 0 inf + 119942
347.274 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))
347.274 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))))
347.275 * * * * [progress]: [ 423 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
347.276 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
347.276 * * [simplify]: iters left: 6 (47 enodes)
347.300 * * [simplify]: iters left: 5 (228 enodes)
347.392 * * [simplify]: Extracting #0: cost 1 inf + 0
347.392 * * [simplify]: Extracting #1: cost 3 inf + 0
347.392 * * [simplify]: Extracting #2: cost 10 inf + 0
347.393 * * [simplify]: Extracting #3: cost 66 inf + 0
347.393 * * [simplify]: Extracting #4: cost 117 inf + 44
347.394 * * [simplify]: Extracting #5: cost 147 inf + 1552
347.396 * * [simplify]: Extracting #6: cost 228 inf + 2932
347.399 * * [simplify]: Extracting #7: cost 232 inf + 3262
347.408 * * [simplify]: Extracting #8: cost 169 inf + 17436
347.421 * * [simplify]: Extracting #9: cost 87 inf + 41660
347.445 * * [simplify]: Extracting #10: cost 28 inf + 74527
347.474 * * [simplify]: Extracting #11: cost 2 inf + 95933
347.494 * * [simplify]: Extracting #12: cost 0 inf + 99463
347.529 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (+ phi2 phi1)))))
347.529 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
347.530 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))
347.530 * * [simplify]: iters left: 6 (20 enodes)
347.534 * * [simplify]: iters left: 5 (93 enodes)
347.554 * * [simplify]: iters left: 4 (229 enodes)
347.614 * * [simplify]: Extracting #0: cost 1 inf + 0
347.614 * * [simplify]: Extracting #1: cost 3 inf + 0
347.614 * * [simplify]: Extracting #2: cost 23 inf + 0
347.614 * * [simplify]: Extracting #3: cost 69 inf + 0
347.615 * * [simplify]: Extracting #4: cost 126 inf + 44
347.615 * * [simplify]: Extracting #5: cost 259 inf + 86
347.617 * * [simplify]: Extracting #6: cost 228 inf + 7349
347.632 * * [simplify]: Extracting #7: cost 50 inf + 45480
347.659 * * [simplify]: Extracting #8: cost 5 inf + 62098
347.688 * * [simplify]: Extracting #9: cost 0 inf + 64714
347.717 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))
347.717 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))))))
347.718 * * * * [progress]: [ 424 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
347.718 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
347.719 * * [simplify]: iters left: 6 (52 enodes)
347.746 * * [simplify]: iters left: 5 (256 enodes)
347.827 * * [simplify]: Extracting #0: cost 1 inf + 0
347.827 * * [simplify]: Extracting #1: cost 3 inf + 0
347.828 * * [simplify]: Extracting #2: cost 10 inf + 0
347.828 * * [simplify]: Extracting #3: cost 74 inf + 0
347.828 * * [simplify]: Extracting #4: cost 137 inf + 1
347.829 * * [simplify]: Extracting #5: cost 188 inf + 165
347.831 * * [simplify]: Extracting #6: cost 268 inf + 1513
347.834 * * [simplify]: Extracting #7: cost 243 inf + 6740
347.844 * * [simplify]: Extracting #8: cost 146 inf + 35195
347.864 * * [simplify]: Extracting #9: cost 62 inf + 63639
347.904 * * [simplify]: Extracting #10: cost 9 inf + 108902
347.942 * * [simplify]: Extracting #11: cost 0 inf + 120704
347.969 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))))
347.969 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
347.971 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
347.971 * * [simplify]: iters left: 6 (24 enodes)
347.982 * * [simplify]: iters left: 5 (111 enodes)
348.016 * * [simplify]: iters left: 4 (286 enodes)
348.142 * * [simplify]: Extracting #0: cost 1 inf + 0
348.143 * * [simplify]: Extracting #1: cost 3 inf + 0
348.143 * * [simplify]: Extracting #2: cost 33 inf + 0
348.143 * * [simplify]: Extracting #3: cost 144 inf + 0
348.144 * * [simplify]: Extracting #4: cost 239 inf + 168
348.145 * * [simplify]: Extracting #5: cost 373 inf + 782
348.150 * * [simplify]: Extracting #6: cost 292 inf + 16600
348.165 * * [simplify]: Extracting #7: cost 82 inf + 79586
348.205 * * [simplify]: Extracting #8: cost 2 inf + 118694
348.264 * * [simplify]: Extracting #9: cost 0 inf + 119942
348.320 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))
348.320 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))))
348.321 * * * * [progress]: [ 425 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
348.322 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
348.322 * * [simplify]: iters left: 6 (47 enodes)
348.347 * * [simplify]: iters left: 5 (228 enodes)
348.440 * * [simplify]: Extracting #0: cost 1 inf + 0
348.440 * * [simplify]: Extracting #1: cost 3 inf + 0
348.440 * * [simplify]: Extracting #2: cost 10 inf + 0
348.440 * * [simplify]: Extracting #3: cost 65 inf + 0
348.440 * * [simplify]: Extracting #4: cost 117 inf + 44
348.441 * * [simplify]: Extracting #5: cost 152 inf + 862
348.443 * * [simplify]: Extracting #6: cost 230 inf + 2648
348.445 * * [simplify]: Extracting #7: cost 231 inf + 3302
348.449 * * [simplify]: Extracting #8: cost 198 inf + 7970
348.457 * * [simplify]: Extracting #9: cost 128 inf + 26746
348.475 * * [simplify]: Extracting #10: cost 47 inf + 59673
348.504 * * [simplify]: Extracting #11: cost 11 inf + 87948
348.541 * * [simplify]: Extracting #12: cost 1 inf + 98318
348.582 * * [simplify]: Extracting #13: cost 0 inf + 99983
348.618 * * [simplify]: Extracting #14: cost 0 inf + 99863
348.653 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (+ phi2 phi1)))))
348.653 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
348.654 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))
348.654 * * [simplify]: iters left: 6 (20 enodes)
348.659 * * [simplify]: iters left: 5 (93 enodes)
348.676 * * [simplify]: iters left: 4 (229 enodes)
348.754 * * [simplify]: Extracting #0: cost 1 inf + 0
348.754 * * [simplify]: Extracting #1: cost 3 inf + 0
348.754 * * [simplify]: Extracting #2: cost 23 inf + 0
348.754 * * [simplify]: Extracting #3: cost 69 inf + 0
348.755 * * [simplify]: Extracting #4: cost 126 inf + 44
348.756 * * [simplify]: Extracting #5: cost 259 inf + 86
348.759 * * [simplify]: Extracting #6: cost 228 inf + 7349
348.774 * * [simplify]: Extracting #7: cost 50 inf + 45480
348.804 * * [simplify]: Extracting #8: cost 5 inf + 62098
348.830 * * [simplify]: Extracting #9: cost 0 inf + 64714
348.845 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))
348.845 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))))))
348.845 * * * * [progress]: [ 426 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
348.846 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
348.846 * * [simplify]: iters left: 6 (47 enodes)
348.863 * * [simplify]: iters left: 5 (226 enodes)
348.933 * * [simplify]: Extracting #0: cost 1 inf + 0
348.933 * * [simplify]: Extracting #1: cost 3 inf + 0
348.933 * * [simplify]: Extracting #2: cost 6 inf + 0
348.934 * * [simplify]: Extracting #3: cost 54 inf + 0
348.934 * * [simplify]: Extracting #4: cost 123 inf + 0
348.935 * * [simplify]: Extracting #5: cost 188 inf + 0
348.936 * * [simplify]: Extracting #6: cost 254 inf + 1138
348.939 * * [simplify]: Extracting #7: cost 227 inf + 7662
348.944 * * [simplify]: Extracting #8: cost 162 inf + 19597
348.952 * * [simplify]: Extracting #9: cost 127 inf + 26759
348.965 * * [simplify]: Extracting #10: cost 89 inf + 41892
348.977 * * [simplify]: Extracting #11: cost 52 inf + 59737
348.989 * * [simplify]: Extracting #12: cost 35 inf + 72360
349.018 * * [simplify]: Extracting #13: cost 4 inf + 101375
349.042 * * [simplify]: Extracting #14: cost 1 inf + 105730
349.074 * * [simplify]: Extracting #15: cost 0 inf + 107435
349.099 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))
349.099 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
349.100 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
349.100 * * [simplify]: iters left: 6 (22 enodes)
349.105 * * [simplify]: iters left: 5 (101 enodes)
349.131 * * [simplify]: iters left: 4 (317 enodes)
349.335 * * [simplify]: Extracting #0: cost 1 inf + 0
349.335 * * [simplify]: Extracting #1: cost 3 inf + 0
349.335 * * [simplify]: Extracting #2: cost 37 inf + 0
349.336 * * [simplify]: Extracting #3: cost 288 inf + 0
349.339 * * [simplify]: Extracting #4: cost 444 inf + 248
349.346 * * [simplify]: Extracting #5: cost 464 inf + 9801
349.385 * * [simplify]: Extracting #6: cost 198 inf + 112456
349.448 * * [simplify]: Extracting #7: cost 3 inf + 195971
349.516 * * [simplify]: Extracting #8: cost 0 inf + 191783
349.584 * * [simplify]: Extracting #9: cost 0 inf + 191383
349.645 * * [simplify]: Extracting #10: cost 0 inf + 191303
349.694 * * [simplify]: Extracting #11: cost 0 inf + 191263
349.754 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))
349.754 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))) (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))))))
349.756 * * * * [progress]: [ 427 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
349.756 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
349.757 * * [simplify]: iters left: 6 (48 enodes)
349.780 * * [simplify]: iters left: 5 (235 enodes)
349.838 * * [simplify]: Extracting #0: cost 1 inf + 0
349.838 * * [simplify]: Extracting #1: cost 3 inf + 0
349.838 * * [simplify]: Extracting #2: cost 6 inf + 0
349.838 * * [simplify]: Extracting #3: cost 58 inf + 0
349.839 * * [simplify]: Extracting #4: cost 146 inf + 0
349.839 * * [simplify]: Extracting #5: cost 196 inf + 454
349.840 * * [simplify]: Extracting #6: cost 235 inf + 4481
349.843 * * [simplify]: Extracting #7: cost 214 inf + 10451
349.846 * * [simplify]: Extracting #8: cost 168 inf + 20156
349.851 * * [simplify]: Extracting #9: cost 108 inf + 37352
349.861 * * [simplify]: Extracting #10: cost 52 inf + 63798
349.885 * * [simplify]: Extracting #11: cost 10 inf + 101282
349.930 * * [simplify]: Extracting #12: cost 0 inf + 110612
349.975 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))))
349.975 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
349.976 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
349.976 * * [simplify]: iters left: 6 (23 enodes)
349.988 * * [simplify]: iters left: 5 (105 enodes)
350.022 * * [simplify]: iters left: 4 (314 enodes)
350.235 * * [simplify]: Extracting #0: cost 1 inf + 0
350.235 * * [simplify]: Extracting #1: cost 3 inf + 0
350.235 * * [simplify]: Extracting #2: cost 63 inf + 0
350.236 * * [simplify]: Extracting #3: cost 302 inf + 0
350.237 * * [simplify]: Extracting #4: cost 385 inf + 292
350.244 * * [simplify]: Extracting #5: cost 425 inf + 6487
350.283 * * [simplify]: Extracting #6: cost 200 inf + 101814
350.341 * * [simplify]: Extracting #7: cost 3 inf + 179436
350.401 * * [simplify]: Extracting #8: cost 0 inf + 173968
350.480 * * [simplify]: Extracting #9: cost 0 inf + 173848
350.529 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))))
350.530 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))))) (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))))))
350.530 * * * * [progress]: [ 428 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
350.531 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
350.532 * * [simplify]: iters left: 6 (48 enodes)
350.555 * * [simplify]: iters left: 5 (235 enodes)
350.651 * * [simplify]: Extracting #0: cost 1 inf + 0
350.651 * * [simplify]: Extracting #1: cost 3 inf + 0
350.651 * * [simplify]: Extracting #2: cost 6 inf + 0
350.652 * * [simplify]: Extracting #3: cost 60 inf + 0
350.652 * * [simplify]: Extracting #4: cost 144 inf + 0
350.653 * * [simplify]: Extracting #5: cost 193 inf + 332
350.655 * * [simplify]: Extracting #6: cost 234 inf + 4115
350.659 * * [simplify]: Extracting #7: cost 214 inf + 10175
350.671 * * [simplify]: Extracting #8: cost 151 inf + 26539
350.688 * * [simplify]: Extracting #9: cost 63 inf + 58492
350.709 * * [simplify]: Extracting #10: cost 15 inf + 97003
350.732 * * [simplify]: Extracting #11: cost 0 inf + 108284
350.775 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
350.775 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
350.776 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
350.776 * * [simplify]: iters left: 6 (23 enodes)
350.787 * * [simplify]: iters left: 5 (105 enodes)
350.831 * * [simplify]: iters left: 4 (312 enodes)
351.003 * * [simplify]: Extracting #0: cost 1 inf + 0
351.003 * * [simplify]: Extracting #1: cost 3 inf + 0
351.004 * * [simplify]: Extracting #2: cost 55 inf + 0
351.004 * * [simplify]: Extracting #3: cost 274 inf + 0
351.005 * * [simplify]: Extracting #4: cost 347 inf + 496
351.008 * * [simplify]: Extracting #5: cost 378 inf + 7749
351.026 * * [simplify]: Extracting #6: cost 191 inf + 88320
351.087 * * [simplify]: Extracting #7: cost 7 inf + 158694
351.144 * * [simplify]: Extracting #8: cost 0 inf + 153910
351.198 * * [simplify]: Extracting #9: cost 0 inf + 153830
351.283 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))))
351.283 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))))))))
351.284 * * * * [progress]: [ 429 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
351.284 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
351.285 * * [simplify]: iters left: 6 (42 enodes)
351.307 * * [simplify]: iters left: 5 (199 enodes)
351.369 * * [simplify]: Extracting #0: cost 1 inf + 0
351.369 * * [simplify]: Extracting #1: cost 3 inf + 0
351.369 * * [simplify]: Extracting #2: cost 6 inf + 0
351.369 * * [simplify]: Extracting #3: cost 55 inf + 0
351.369 * * [simplify]: Extracting #4: cost 117 inf + 0
351.370 * * [simplify]: Extracting #5: cost 151 inf + 44
351.370 * * [simplify]: Extracting #6: cost 207 inf + 1072
351.372 * * [simplify]: Extracting #7: cost 202 inf + 2939
351.373 * * [simplify]: Extracting #8: cost 167 inf + 7805
351.382 * * [simplify]: Extracting #9: cost 109 inf + 27696
351.415 * * [simplify]: Extracting #10: cost 12 inf + 84509
351.450 * * [simplify]: Extracting #11: cost 0 inf + 91628
351.486 * * [simplify]: Extracting #12: cost 0 inf + 91348
351.522 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cbrt (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))))))
351.522 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)) (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cbrt (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (+ (+ (* lambda1 lambda1) (* lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
351.523 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
351.523 * * [simplify]: iters left: 6 (18 enodes)
351.530 * * [simplify]: iters left: 5 (83 enodes)
351.561 * * [simplify]: iters left: 4 (242 enodes)
351.659 * * [simplify]: Extracting #0: cost 1 inf + 0
351.659 * * [simplify]: Extracting #1: cost 3 inf + 0
351.659 * * [simplify]: Extracting #2: cost 29 inf + 0
351.659 * * [simplify]: Extracting #3: cost 140 inf + 0
351.660 * * [simplify]: Extracting #4: cost 186 inf + 250
351.661 * * [simplify]: Extracting #5: cost 241 inf + 3742
351.671 * * [simplify]: Extracting #6: cost 169 inf + 28116
351.694 * * [simplify]: Extracting #7: cost 24 inf + 73792
351.714 * * [simplify]: Extracting #8: cost 0 inf + 77907
351.749 * * [simplify]: Extracting #9: cost 0 inf + 76787
351.790 * * [simplify]: Extracting #10: cost 0 inf + 76747
351.817 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))
351.817 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))))))
351.818 * * * * [progress]: [ 430 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
351.818 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
351.818 * * [simplify]: iters left: 6 (47 enodes)
351.830 * * [simplify]: iters left: 5 (227 enodes)
351.916 * * [simplify]: Extracting #0: cost 1 inf + 0
351.916 * * [simplify]: Extracting #1: cost 3 inf + 0
351.916 * * [simplify]: Extracting #2: cost 10 inf + 0
351.916 * * [simplify]: Extracting #3: cost 72 inf + 0
351.917 * * [simplify]: Extracting #4: cost 129 inf + 42
351.918 * * [simplify]: Extracting #5: cost 165 inf + 331
351.920 * * [simplify]: Extracting #6: cost 220 inf + 2687
351.923 * * [simplify]: Extracting #7: cost 210 inf + 5663
351.929 * * [simplify]: Extracting #8: cost 143 inf + 21236
351.943 * * [simplify]: Extracting #9: cost 70 inf + 48309
351.966 * * [simplify]: Extracting #10: cost 33 inf + 73564
352.001 * * [simplify]: Extracting #11: cost 5 inf + 100493
352.040 * * [simplify]: Extracting #12: cost 1 inf + 101453
352.071 * * [simplify]: Extracting #13: cost 0 inf + 102285
352.096 * * [simplify]: Extracting #14: cost 0 inf + 101994
352.119 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))))
352.120 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
352.120 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
352.120 * * [simplify]: iters left: 6 (21 enodes)
352.125 * * [simplify]: iters left: 5 (96 enodes)
352.151 * * [simplify]: iters left: 4 (259 enodes)
352.269 * * [simplify]: Extracting #0: cost 1 inf + 0
352.269 * * [simplify]: Extracting #1: cost 3 inf + 0
352.270 * * [simplify]: Extracting #2: cost 28 inf + 0
352.271 * * [simplify]: Extracting #3: cost 107 inf + 0
352.272 * * [simplify]: Extracting #4: cost 178 inf + 290
352.274 * * [simplify]: Extracting #5: cost 252 inf + 904
352.283 * * [simplify]: Extracting #6: cost 165 inf + 26596
352.316 * * [simplify]: Extracting #7: cost 20 inf + 73568
352.360 * * [simplify]: Extracting #8: cost 0 inf + 80063
352.402 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))
352.402 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))
352.403 * * * * [progress]: [ 431 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
352.403 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
352.404 * * [simplify]: iters left: 6 (42 enodes)
352.423 * * [simplify]: iters left: 5 (199 enodes)
352.474 * * [simplify]: Extracting #0: cost 1 inf + 0
352.474 * * [simplify]: Extracting #1: cost 3 inf + 0
352.474 * * [simplify]: Extracting #2: cost 10 inf + 0
352.475 * * [simplify]: Extracting #3: cost 67 inf + 0
352.475 * * [simplify]: Extracting #4: cost 121 inf + 86
352.476 * * [simplify]: Extracting #5: cost 139 inf + 1554
352.478 * * [simplify]: Extracting #6: cost 200 inf + 2932
352.480 * * [simplify]: Extracting #7: cost 206 inf + 3100
352.488 * * [simplify]: Extracting #8: cost 121 inf + 26159
352.515 * * [simplify]: Extracting #9: cost 29 inf + 75307
352.551 * * [simplify]: Extracting #10: cost 4 inf + 90063
352.586 * * [simplify]: Extracting #11: cost 0 inf + 91413
352.605 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))))
352.605 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
352.606 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
352.606 * * [simplify]: iters left: 6 (17 enodes)
352.610 * * [simplify]: iters left: 5 (78 enodes)
352.635 * * [simplify]: iters left: 4 (202 enodes)
352.732 * * [simplify]: Extracting #0: cost 1 inf + 0
352.732 * * [simplify]: Extracting #1: cost 3 inf + 0
352.732 * * [simplify]: Extracting #2: cost 18 inf + 0
352.733 * * [simplify]: Extracting #3: cost 44 inf + 0
352.734 * * [simplify]: Extracting #4: cost 86 inf + 2
352.735 * * [simplify]: Extracting #5: cost 164 inf + 44
352.737 * * [simplify]: Extracting #6: cost 142 inf + 4662
352.748 * * [simplify]: Extracting #7: cost 40 inf + 30099
352.761 * * [simplify]: Extracting #8: cost 2 inf + 39709
352.772 * * [simplify]: Extracting #9: cost 0 inf + 39075
352.783 * * [simplify]: Extracting #10: cost 0 inf + 38995
352.797 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))
352.797 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (+ phi1 phi2) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))))
352.798 * * * * [progress]: [ 432 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
352.799 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
352.800 * * [simplify]: iters left: 6 (47 enodes)
352.824 * * [simplify]: iters left: 5 (227 enodes)
352.881 * * [simplify]: Extracting #0: cost 1 inf + 0
352.881 * * [simplify]: Extracting #1: cost 3 inf + 0
352.881 * * [simplify]: Extracting #2: cost 10 inf + 0
352.881 * * [simplify]: Extracting #3: cost 72 inf + 0
352.881 * * [simplify]: Extracting #4: cost 129 inf + 42
352.882 * * [simplify]: Extracting #5: cost 164 inf + 494
352.883 * * [simplify]: Extracting #6: cost 213 inf + 4061
352.885 * * [simplify]: Extracting #7: cost 209 inf + 6006
352.887 * * [simplify]: Extracting #8: cost 140 inf + 22025
352.897 * * [simplify]: Extracting #9: cost 68 inf + 49525
352.909 * * [simplify]: Extracting #10: cost 33 inf + 74204
352.927 * * [simplify]: Extracting #11: cost 5 inf + 101453
352.966 * * [simplify]: Extracting #12: cost 1 inf + 102413
353.005 * * [simplify]: Extracting #13: cost 0 inf + 103245
353.029 * * [simplify]: Extracting #14: cost 0 inf + 102954
353.052 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))))
353.052 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
353.053 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
353.053 * * [simplify]: iters left: 6 (21 enodes)
353.062 * * [simplify]: iters left: 5 (96 enodes)
353.096 * * [simplify]: iters left: 4 (259 enodes)
353.227 * * [simplify]: Extracting #0: cost 1 inf + 0
353.227 * * [simplify]: Extracting #1: cost 3 inf + 0
353.227 * * [simplify]: Extracting #2: cost 28 inf + 0
353.228 * * [simplify]: Extracting #3: cost 107 inf + 0
353.229 * * [simplify]: Extracting #4: cost 178 inf + 290
353.231 * * [simplify]: Extracting #5: cost 252 inf + 904
353.239 * * [simplify]: Extracting #6: cost 165 inf + 26596
353.259 * * [simplify]: Extracting #7: cost 20 inf + 73568
353.288 * * [simplify]: Extracting #8: cost 0 inf + 80063
353.315 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))
353.315 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))
353.316 * * * * [progress]: [ 433 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
353.316 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
353.316 * * [simplify]: iters left: 6 (42 enodes)
353.327 * * [simplify]: iters left: 5 (199 enodes)
353.400 * * [simplify]: Extracting #0: cost 1 inf + 0
353.400 * * [simplify]: Extracting #1: cost 3 inf + 0
353.401 * * [simplify]: Extracting #2: cost 10 inf + 0
353.401 * * [simplify]: Extracting #3: cost 66 inf + 0
353.402 * * [simplify]: Extracting #4: cost 122 inf + 44
353.402 * * [simplify]: Extracting #5: cost 145 inf + 782
353.404 * * [simplify]: Extracting #6: cost 201 inf + 2770
353.406 * * [simplify]: Extracting #7: cost 205 inf + 3141
353.413 * * [simplify]: Extracting #8: cost 121 inf + 26263
353.436 * * [simplify]: Extracting #9: cost 33 inf + 74232
353.472 * * [simplify]: Extracting #10: cost 5 inf + 89979
353.509 * * [simplify]: Extracting #11: cost 0 inf + 91813
353.545 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))))
353.545 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
353.547 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
353.547 * * [simplify]: iters left: 6 (17 enodes)
353.559 * * [simplify]: iters left: 5 (78 enodes)
353.587 * * [simplify]: iters left: 4 (202 enodes)
353.663 * * [simplify]: Extracting #0: cost 1 inf + 0
353.663 * * [simplify]: Extracting #1: cost 3 inf + 0
353.663 * * [simplify]: Extracting #2: cost 18 inf + 0
353.663 * * [simplify]: Extracting #3: cost 44 inf + 0
353.664 * * [simplify]: Extracting #4: cost 86 inf + 2
353.664 * * [simplify]: Extracting #5: cost 164 inf + 44
353.667 * * [simplify]: Extracting #6: cost 142 inf + 4662
353.678 * * [simplify]: Extracting #7: cost 40 inf + 30099
353.693 * * [simplify]: Extracting #8: cost 2 inf + 39709
353.704 * * [simplify]: Extracting #9: cost 0 inf + 39075
353.715 * * [simplify]: Extracting #10: cost 0 inf + 38995
353.733 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))
353.733 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) (* (+ phi2 phi1) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (+ phi1 phi2) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))))
353.734 * * * * [progress]: [ 434 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
353.735 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
353.735 * * [simplify]: iters left: 6 (51 enodes)
353.754 * * [simplify]: iters left: 5 (245 enodes)
353.812 * * [simplify]: Extracting #0: cost 1 inf + 0
353.812 * * [simplify]: Extracting #1: cost 3 inf + 0
353.812 * * [simplify]: Extracting #2: cost 6 inf + 0
353.812 * * [simplify]: Extracting #3: cost 56 inf + 0
353.812 * * [simplify]: Extracting #4: cost 130 inf + 0
353.813 * * [simplify]: Extracting #5: cost 205 inf + 0
353.814 * * [simplify]: Extracting #6: cost 277 inf + 1094
353.818 * * [simplify]: Extracting #7: cost 204 inf + 15330
353.829 * * [simplify]: Extracting #8: cost 135 inf + 37476
353.846 * * [simplify]: Extracting #9: cost 86 inf + 54814
353.865 * * [simplify]: Extracting #10: cost 57 inf + 64808
353.879 * * [simplify]: Extracting #11: cost 36 inf + 79253
353.908 * * [simplify]: Extracting #12: cost 7 inf + 112538
353.933 * * [simplify]: Extracting #13: cost 1 inf + 121288
353.979 * * [simplify]: Extracting #14: cost 0 inf + 123273
354.005 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
354.006 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
354.006 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
354.007 * * [simplify]: iters left: 6 (24 enodes)
354.013 * * [simplify]: iters left: 5 (107 enodes)
354.053 * * [simplify]: iters left: 4 (319 enodes)
354.265 * * [simplify]: Extracting #0: cost 1 inf + 0
354.265 * * [simplify]: Extracting #1: cost 3 inf + 0
354.265 * * [simplify]: Extracting #2: cost 41 inf + 0
354.265 * * [simplify]: Extracting #3: cost 305 inf + 0
354.267 * * [simplify]: Extracting #4: cost 478 inf + 85
354.278 * * [simplify]: Extracting #5: cost 375 inf + 64359
354.359 * * [simplify]: Extracting #6: cost 22 inf + 214524
354.433 * * [simplify]: Extracting #7: cost 0 inf + 210790
354.515 * * [simplify]: Extracting #8: cost 0 inf + 210510
354.615 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))
354.615 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))))
354.616 * * * * [progress]: [ 435 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
354.616 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
354.617 * * [simplify]: iters left: 6 (52 enodes)
354.645 * * [simplify]: iters left: 5 (254 enodes)
354.753 * * [simplify]: Extracting #0: cost 1 inf + 0
354.753 * * [simplify]: Extracting #1: cost 3 inf + 0
354.753 * * [simplify]: Extracting #2: cost 6 inf + 0
354.753 * * [simplify]: Extracting #3: cost 60 inf + 0
354.754 * * [simplify]: Extracting #4: cost 153 inf + 0
354.755 * * [simplify]: Extracting #5: cost 219 inf + 44
354.757 * * [simplify]: Extracting #6: cost 264 inf + 3555
354.763 * * [simplify]: Extracting #7: cost 196 inf + 15960
354.778 * * [simplify]: Extracting #8: cost 141 inf + 33991
354.796 * * [simplify]: Extracting #9: cost 94 inf + 55611
354.820 * * [simplify]: Extracting #10: cost 52 inf + 72390
354.858 * * [simplify]: Extracting #11: cost 12 inf + 109910
354.904 * * [simplify]: Extracting #12: cost 1 inf + 123905
354.950 * * [simplify]: Extracting #13: cost 0 inf + 125970
354.994 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ lambda2 lambda1)))))
354.994 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ lambda2 lambda1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
354.995 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
354.995 * * [simplify]: iters left: 6 (25 enodes)
355.001 * * [simplify]: iters left: 5 (111 enodes)
355.030 * * [simplify]: iters left: 4 (316 enodes)
355.202 * * [simplify]: Extracting #0: cost 1 inf + 0
355.202 * * [simplify]: Extracting #1: cost 3 inf + 0
355.202 * * [simplify]: Extracting #2: cost 67 inf + 0
355.204 * * [simplify]: Extracting #3: cost 325 inf + 0
355.207 * * [simplify]: Extracting #4: cost 427 inf + 249
355.237 * * [simplify]: Extracting #5: cost 310 inf + 74227
355.316 * * [simplify]: Extracting #6: cost 31 inf + 187661
355.405 * * [simplify]: Extracting #7: cost 0 inf + 193957
355.467 * * [simplify]: Extracting #8: cost 0 inf + 193717
355.553 * [simplify]: Simplified to (sqrt (* (* (+ phi2 phi1) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
355.553 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ lambda2 lambda1))))) (sqrt (* (* (+ phi2 phi1) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))))
355.554 * * * * [progress]: [ 436 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
355.554 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
355.555 * * [simplify]: iters left: 6 (52 enodes)
355.583 * * [simplify]: iters left: 5 (254 enodes)
355.663 * * [simplify]: Extracting #0: cost 1 inf + 0
355.663 * * [simplify]: Extracting #1: cost 3 inf + 0
355.663 * * [simplify]: Extracting #2: cost 6 inf + 0
355.664 * * [simplify]: Extracting #3: cost 62 inf + 0
355.664 * * [simplify]: Extracting #4: cost 151 inf + 0
355.665 * * [simplify]: Extracting #5: cost 215 inf + 44
355.667 * * [simplify]: Extracting #6: cost 259 inf + 3517
355.673 * * [simplify]: Extracting #7: cost 196 inf + 15491
355.684 * * [simplify]: Extracting #8: cost 149 inf + 30003
355.703 * * [simplify]: Extracting #9: cost 101 inf + 51438
355.718 * * [simplify]: Extracting #10: cost 53 inf + 69877
355.732 * * [simplify]: Extracting #11: cost 36 inf + 81102
355.760 * * [simplify]: Extracting #12: cost 9 inf + 110457
355.785 * * [simplify]: Extracting #13: cost 1 inf + 121417
355.833 * * [simplify]: Extracting #14: cost 0 inf + 123482
355.869 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))
355.869 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
355.870 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
355.870 * * [simplify]: iters left: 6 (25 enodes)
355.876 * * [simplify]: iters left: 5 (111 enodes)
355.898 * * [simplify]: iters left: 4 (314 enodes)
356.071 * * [simplify]: Extracting #0: cost 1 inf + 0
356.071 * * [simplify]: Extracting #1: cost 3 inf + 0
356.072 * * [simplify]: Extracting #2: cost 59 inf + 0
356.073 * * [simplify]: Extracting #3: cost 294 inf + 0
356.076 * * [simplify]: Extracting #4: cost 378 inf + 818
356.098 * * [simplify]: Extracting #5: cost 280 inf + 64444
356.179 * * [simplify]: Extracting #6: cost 9 inf + 170512
356.257 * * [simplify]: Extracting #7: cost 0 inf + 166176
356.336 * * [simplify]: Extracting #8: cost 0 inf + 166016
356.401 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (cbrt (+ lambda1 lambda2))))
356.401 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (cbrt (+ lambda1 lambda2)))))))
356.401 * * * * [progress]: [ 437 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
356.402 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
356.402 * * [simplify]: iters left: 6 (46 enodes)
356.414 * * [simplify]: iters left: 5 (218 enodes)
356.473 * * [simplify]: Extracting #0: cost 1 inf + 0
356.473 * * [simplify]: Extracting #1: cost 3 inf + 0
356.473 * * [simplify]: Extracting #2: cost 6 inf + 0
356.473 * * [simplify]: Extracting #3: cost 54 inf + 0
356.473 * * [simplify]: Extracting #4: cost 119 inf + 0
356.474 * * [simplify]: Extracting #5: cost 163 inf + 44
356.474 * * [simplify]: Extracting #6: cost 220 inf + 1604
356.476 * * [simplify]: Extracting #7: cost 184 inf + 8053
356.480 * * [simplify]: Extracting #8: cost 125 inf + 23974
356.491 * * [simplify]: Extracting #9: cost 61 inf + 49548
356.520 * * [simplify]: Extracting #10: cost 16 inf + 84807
356.559 * * [simplify]: Extracting #11: cost 0 inf + 99581
356.603 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
356.603 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
356.604 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))
356.604 * * [simplify]: iters left: 6 (20 enodes)
356.612 * * [simplify]: iters left: 5 (89 enodes)
356.643 * * [simplify]: iters left: 4 (244 enodes)
356.742 * * [simplify]: Extracting #0: cost 1 inf + 0
356.742 * * [simplify]: Extracting #1: cost 3 inf + 0
356.742 * * [simplify]: Extracting #2: cost 35 inf + 0
356.743 * * [simplify]: Extracting #3: cost 165 inf + 0
356.743 * * [simplify]: Extracting #4: cost 221 inf + 169
356.748 * * [simplify]: Extracting #5: cost 210 inf + 22223
356.775 * * [simplify]: Extracting #6: cost 39 inf + 80677
356.800 * * [simplify]: Extracting #7: cost 0 inf + 90391
356.833 * * [simplify]: Extracting #8: cost 0 inf + 90231
356.872 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (+ phi1 phi2))))
356.872 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (+ phi1 phi2)))))))
356.872 * * * * [progress]: [ 438 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
356.873 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
356.873 * * [simplify]: iters left: 6 (51 enodes)
356.886 * * [simplify]: iters left: 5 (246 enodes)
356.961 * * [simplify]: Extracting #0: cost 1 inf + 0
356.961 * * [simplify]: Extracting #1: cost 3 inf + 0
356.961 * * [simplify]: Extracting #2: cost 10 inf + 0
356.961 * * [simplify]: Extracting #3: cost 74 inf + 0
356.962 * * [simplify]: Extracting #4: cost 137 inf + 1
356.963 * * [simplify]: Extracting #5: cost 184 inf + 249
356.965 * * [simplify]: Extracting #6: cost 241 inf + 2335
356.971 * * [simplify]: Extracting #7: cost 174 inf + 19628
356.984 * * [simplify]: Extracting #8: cost 125 inf + 37928
356.999 * * [simplify]: Extracting #9: cost 94 inf + 48772
357.009 * * [simplify]: Extracting #10: cost 54 inf + 64324
357.034 * * [simplify]: Extracting #11: cost 10 inf + 101262
357.061 * * [simplify]: Extracting #12: cost 1 inf + 113287
357.096 * * [simplify]: Extracting #13: cost 0 inf + 115272
357.142 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))
357.142 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
357.143 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
357.143 * * [simplify]: iters left: 6 (23 enodes)
357.152 * * [simplify]: iters left: 5 (102 enodes)
357.172 * * [simplify]: iters left: 4 (261 enodes)
357.276 * * [simplify]: Extracting #0: cost 1 inf + 0
357.277 * * [simplify]: Extracting #1: cost 3 inf + 0
357.277 * * [simplify]: Extracting #2: cost 33 inf + 0
357.277 * * [simplify]: Extracting #3: cost 142 inf + 0
357.278 * * [simplify]: Extracting #4: cost 221 inf + 371
357.283 * * [simplify]: Extracting #5: cost 216 inf + 26700
357.318 * * [simplify]: Extracting #6: cost 29 inf + 91913
357.346 * * [simplify]: Extracting #7: cost 0 inf + 98330
357.375 * * [simplify]: Extracting #8: cost 0 inf + 97610
357.421 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))))))
357.421 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (sqrt (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2)))))))))
357.422 * * * * [progress]: [ 439 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
357.423 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
357.423 * * [simplify]: iters left: 6 (46 enodes)
357.448 * * [simplify]: iters left: 5 (218 enodes)
357.519 * * [simplify]: Extracting #0: cost 1 inf + 0
357.519 * * [simplify]: Extracting #1: cost 3 inf + 0
357.519 * * [simplify]: Extracting #2: cost 10 inf + 0
357.519 * * [simplify]: Extracting #3: cost 66 inf + 0
357.519 * * [simplify]: Extracting #4: cost 117 inf + 44
357.520 * * [simplify]: Extracting #5: cost 148 inf + 1026
357.521 * * [simplify]: Extracting #6: cost 210 inf + 3138
357.522 * * [simplify]: Extracting #7: cost 186 inf + 7884
357.525 * * [simplify]: Extracting #8: cost 147 inf + 16371
357.536 * * [simplify]: Extracting #9: cost 101 inf + 35434
357.555 * * [simplify]: Extracting #10: cost 38 inf + 60841
357.574 * * [simplify]: Extracting #11: cost 6 inf + 89241
357.597 * * [simplify]: Extracting #12: cost 0 inf + 96591
357.635 * * [simplify]: Extracting #13: cost 0 inf + 96551
357.670 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))))))
357.670 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
357.671 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
357.671 * * [simplify]: iters left: 6 (19 enodes)
357.676 * * [simplify]: iters left: 5 (84 enodes)
357.691 * * [simplify]: iters left: 4 (204 enodes)
357.765 * * [simplify]: Extracting #0: cost 1 inf + 0
357.765 * * [simplify]: Extracting #1: cost 3 inf + 0
357.765 * * [simplify]: Extracting #2: cost 23 inf + 0
357.765 * * [simplify]: Extracting #3: cost 69 inf + 0
357.766 * * [simplify]: Extracting #4: cost 113 inf + 44
357.768 * * [simplify]: Extracting #5: cost 174 inf + 1382
357.775 * * [simplify]: Extracting #6: cost 75 inf + 27460
357.787 * * [simplify]: Extracting #7: cost 7 inf + 47791
357.799 * * [simplify]: Extracting #8: cost 0 inf + 48572
357.821 * * [simplify]: Extracting #9: cost 0 inf + 48092
357.839 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
357.841 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))))
357.841 * * * * [progress]: [ 440 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
357.842 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
357.842 * * [simplify]: iters left: 6 (51 enodes)
357.858 * * [simplify]: iters left: 5 (246 enodes)
357.929 * * [simplify]: Extracting #0: cost 1 inf + 0
357.929 * * [simplify]: Extracting #1: cost 3 inf + 0
357.929 * * [simplify]: Extracting #2: cost 10 inf + 0
357.929 * * [simplify]: Extracting #3: cost 74 inf + 0
357.930 * * [simplify]: Extracting #4: cost 137 inf + 1
357.931 * * [simplify]: Extracting #5: cost 185 inf + 207
357.933 * * [simplify]: Extracting #6: cost 244 inf + 2252
357.939 * * [simplify]: Extracting #7: cost 168 inf + 21039
357.947 * * [simplify]: Extracting #8: cost 123 inf + 39684
357.957 * * [simplify]: Extracting #9: cost 95 inf + 49589
357.968 * * [simplify]: Extracting #10: cost 54 inf + 65284
357.986 * * [simplify]: Extracting #11: cost 10 inf + 102222
358.010 * * [simplify]: Extracting #12: cost 1 inf + 114247
358.049 * * [simplify]: Extracting #13: cost 0 inf + 116232
358.098 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))
358.098 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
358.099 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
358.099 * * [simplify]: iters left: 6 (23 enodes)
358.110 * * [simplify]: iters left: 5 (102 enodes)
358.141 * * [simplify]: iters left: 4 (261 enodes)
358.254 * * [simplify]: Extracting #0: cost 1 inf + 0
358.254 * * [simplify]: Extracting #1: cost 3 inf + 0
358.254 * * [simplify]: Extracting #2: cost 33 inf + 0
358.255 * * [simplify]: Extracting #3: cost 142 inf + 0
358.256 * * [simplify]: Extracting #4: cost 221 inf + 371
358.265 * * [simplify]: Extracting #5: cost 216 inf + 26700
358.300 * * [simplify]: Extracting #6: cost 29 inf + 91913
358.328 * * [simplify]: Extracting #7: cost 0 inf + 98330
358.361 * * [simplify]: Extracting #8: cost 0 inf + 97610
358.385 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))))))
358.385 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2)))))))))
358.385 * * * * [progress]: [ 441 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
358.385 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
358.386 * * [simplify]: iters left: 6 (46 enodes)
358.397 * * [simplify]: iters left: 5 (218 enodes)
358.454 * * [simplify]: Extracting #0: cost 1 inf + 0
358.454 * * [simplify]: Extracting #1: cost 3 inf + 0
358.454 * * [simplify]: Extracting #2: cost 10 inf + 0
358.454 * * [simplify]: Extracting #3: cost 65 inf + 0
358.455 * * [simplify]: Extracting #4: cost 117 inf + 44
358.455 * * [simplify]: Extracting #5: cost 148 inf + 1066
358.456 * * [simplify]: Extracting #6: cost 211 inf + 3016
358.458 * * [simplify]: Extracting #7: cost 191 inf + 6755
358.461 * * [simplify]: Extracting #8: cost 135 inf + 22969
358.468 * * [simplify]: Extracting #9: cost 89 inf + 42376
358.478 * * [simplify]: Extracting #10: cost 42 inf + 58501
358.497 * * [simplify]: Extracting #11: cost 16 inf + 80391
358.535 * * [simplify]: Extracting #12: cost 0 inf + 96271
358.572 * * [simplify]: Extracting #13: cost 0 inf + 95991
358.608 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))))))
358.608 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
358.610 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
358.610 * * [simplify]: iters left: 6 (19 enodes)
358.619 * * [simplify]: iters left: 5 (84 enodes)
358.648 * * [simplify]: iters left: 4 (204 enodes)
358.745 * * [simplify]: Extracting #0: cost 1 inf + 0
358.745 * * [simplify]: Extracting #1: cost 3 inf + 0
358.745 * * [simplify]: Extracting #2: cost 23 inf + 0
358.745 * * [simplify]: Extracting #3: cost 69 inf + 0
358.746 * * [simplify]: Extracting #4: cost 113 inf + 44
358.747 * * [simplify]: Extracting #5: cost 174 inf + 1382
358.751 * * [simplify]: Extracting #6: cost 75 inf + 27460
358.764 * * [simplify]: Extracting #7: cost 7 inf + 47791
358.787 * * [simplify]: Extracting #8: cost 0 inf + 48572
358.803 * * [simplify]: Extracting #9: cost 0 inf + 48092
358.815 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
358.815 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))))
358.815 * * * * [progress]: [ 442 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
358.816 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
358.816 * * [simplify]: iters left: 6 (45 enodes)
358.838 * * [simplify]: iters left: 5 (218 enodes)
358.911 * * [simplify]: Extracting #0: cost 1 inf + 0
358.911 * * [simplify]: Extracting #1: cost 3 inf + 0
358.911 * * [simplify]: Extracting #2: cost 6 inf + 0
358.912 * * [simplify]: Extracting #3: cost 54 inf + 0
358.912 * * [simplify]: Extracting #4: cost 120 inf + 0
358.913 * * [simplify]: Extracting #5: cost 186 inf + 0
358.914 * * [simplify]: Extracting #6: cost 248 inf + 715
358.917 * * [simplify]: Extracting #7: cost 216 inf + 9020
358.922 * * [simplify]: Extracting #8: cost 159 inf + 17854
358.931 * * [simplify]: Extracting #9: cost 117 inf + 28530
358.942 * * [simplify]: Extracting #10: cost 67 inf + 49688
358.959 * * [simplify]: Extracting #11: cost 11 inf + 93633
358.992 * * [simplify]: Extracting #12: cost 0 inf + 104163
359.032 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))))
359.032 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
359.033 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
359.034 * * [simplify]: iters left: 6 (22 enodes)
359.044 * * [simplify]: iters left: 5 (101 enodes)
359.073 * * [simplify]: iters left: 4 (317 enodes)
359.267 * * [simplify]: Extracting #0: cost 1 inf + 0
359.267 * * [simplify]: Extracting #1: cost 3 inf + 0
359.267 * * [simplify]: Extracting #2: cost 37 inf + 0
359.268 * * [simplify]: Extracting #3: cost 288 inf + 0
359.269 * * [simplify]: Extracting #4: cost 444 inf + 248
359.273 * * [simplify]: Extracting #5: cost 464 inf + 9801
359.295 * * [simplify]: Extracting #6: cost 198 inf + 112456
359.358 * * [simplify]: Extracting #7: cost 3 inf + 195971
359.431 * * [simplify]: Extracting #8: cost 0 inf + 191783
359.486 * * [simplify]: Extracting #9: cost 0 inf + 191383
359.574 * * [simplify]: Extracting #10: cost 0 inf + 191303
359.639 * * [simplify]: Extracting #11: cost 0 inf + 191263
359.716 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))
359.716 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))))))
359.717 * * * * [progress]: [ 443 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
359.717 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
359.717 * * [simplify]: iters left: 6 (46 enodes)
359.730 * * [simplify]: iters left: 5 (227 enodes)
359.814 * * [simplify]: Extracting #0: cost 1 inf + 0
359.814 * * [simplify]: Extracting #1: cost 3 inf + 0
359.814 * * [simplify]: Extracting #2: cost 6 inf + 0
359.814 * * [simplify]: Extracting #3: cost 58 inf + 0
359.814 * * [simplify]: Extracting #4: cost 143 inf + 0
359.815 * * [simplify]: Extracting #5: cost 199 inf + 126
359.816 * * [simplify]: Extracting #6: cost 245 inf + 4659
359.818 * * [simplify]: Extracting #7: cost 207 inf + 13494
359.822 * * [simplify]: Extracting #8: cost 140 inf + 25356
359.829 * * [simplify]: Extracting #9: cost 76 inf + 45968
359.842 * * [simplify]: Extracting #10: cost 40 inf + 69676
359.870 * * [simplify]: Extracting #11: cost 2 inf + 103810
359.911 * * [simplify]: Extracting #12: cost 0 inf + 107340
359.953 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))
359.953 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
359.954 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
359.955 * * [simplify]: iters left: 6 (23 enodes)
359.966 * * [simplify]: iters left: 5 (105 enodes)
359.991 * * [simplify]: iters left: 4 (314 enodes)
360.189 * * [simplify]: Extracting #0: cost 1 inf + 0
360.189 * * [simplify]: Extracting #1: cost 3 inf + 0
360.189 * * [simplify]: Extracting #2: cost 63 inf + 0
360.190 * * [simplify]: Extracting #3: cost 302 inf + 0
360.191 * * [simplify]: Extracting #4: cost 385 inf + 292
360.194 * * [simplify]: Extracting #5: cost 425 inf + 6487
360.222 * * [simplify]: Extracting #6: cost 200 inf + 101814
360.272 * * [simplify]: Extracting #7: cost 3 inf + 179436
360.336 * * [simplify]: Extracting #8: cost 0 inf + 173968
360.412 * * [simplify]: Extracting #9: cost 0 inf + 173848
360.465 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))))
360.465 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (- phi1 phi2))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))))))
360.466 * * * * [progress]: [ 444 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
360.466 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
360.466 * * [simplify]: iters left: 6 (46 enodes)
360.482 * * [simplify]: iters left: 5 (227 enodes)
360.551 * * [simplify]: Extracting #0: cost 1 inf + 0
360.551 * * [simplify]: Extracting #1: cost 3 inf + 0
360.551 * * [simplify]: Extracting #2: cost 6 inf + 0
360.551 * * [simplify]: Extracting #3: cost 60 inf + 0
360.552 * * [simplify]: Extracting #4: cost 141 inf + 0
360.553 * * [simplify]: Extracting #5: cost 194 inf + 168
360.555 * * [simplify]: Extracting #6: cost 231 inf + 5468
360.559 * * [simplify]: Extracting #7: cost 202 inf + 14538
360.566 * * [simplify]: Extracting #8: cost 144 inf + 24178
360.583 * * [simplify]: Extracting #9: cost 63 inf + 52840
360.597 * * [simplify]: Extracting #10: cost 30 inf + 74462
360.617 * * [simplify]: Extracting #11: cost 2 inf + 102362
360.655 * * [simplify]: Extracting #12: cost 0 inf + 104932
360.678 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
360.678 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
360.679 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
360.679 * * [simplify]: iters left: 6 (23 enodes)
360.688 * * [simplify]: iters left: 5 (105 enodes)
360.726 * * [simplify]: iters left: 4 (312 enodes)
360.877 * * [simplify]: Extracting #0: cost 1 inf + 0
360.877 * * [simplify]: Extracting #1: cost 3 inf + 0
360.877 * * [simplify]: Extracting #2: cost 55 inf + 0
360.878 * * [simplify]: Extracting #3: cost 274 inf + 0
360.879 * * [simplify]: Extracting #4: cost 347 inf + 496
360.881 * * [simplify]: Extracting #5: cost 378 inf + 7749
360.905 * * [simplify]: Extracting #6: cost 191 inf + 88320
360.954 * * [simplify]: Extracting #7: cost 7 inf + 158694
361.010 * * [simplify]: Extracting #8: cost 0 inf + 153910
361.066 * * [simplify]: Extracting #9: cost 0 inf + 153830
361.125 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))))
361.125 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))))))))
361.126 * * * * [progress]: [ 445 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
361.126 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
361.127 * * [simplify]: iters left: 6 (40 enodes)
361.139 * * [simplify]: iters left: 5 (191 enodes)
361.197 * * [simplify]: Extracting #0: cost 1 inf + 0
361.197 * * [simplify]: Extracting #1: cost 3 inf + 0
361.197 * * [simplify]: Extracting #2: cost 6 inf + 0
361.197 * * [simplify]: Extracting #3: cost 52 inf + 0
361.197 * * [simplify]: Extracting #4: cost 109 inf + 0
361.198 * * [simplify]: Extracting #5: cost 144 inf + 44
361.200 * * [simplify]: Extracting #6: cost 191 inf + 1599
361.202 * * [simplify]: Extracting #7: cost 186 inf + 3307
361.206 * * [simplify]: Extracting #8: cost 137 inf + 12807
361.218 * * [simplify]: Extracting #9: cost 73 inf + 38365
361.230 * * [simplify]: Extracting #10: cost 25 inf + 65316
361.247 * * [simplify]: Extracting #11: cost 3 inf + 80596
361.274 * * [simplify]: Extracting #12: cost 0 inf + 83191
361.303 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (cbrt (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))))) (* (* (cbrt (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1))))))
361.303 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (cbrt (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1))) (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))))) (* (* (cbrt (+ (* lambda2 lambda2) (+ (* lambda2 lambda1) (* lambda1 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
361.304 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
361.304 * * [simplify]: iters left: 6 (18 enodes)
361.316 * * [simplify]: iters left: 5 (83 enodes)
361.347 * * [simplify]: iters left: 4 (242 enodes)
361.472 * * [simplify]: Extracting #0: cost 1 inf + 0
361.472 * * [simplify]: Extracting #1: cost 3 inf + 0
361.473 * * [simplify]: Extracting #2: cost 29 inf + 0
361.473 * * [simplify]: Extracting #3: cost 140 inf + 0
361.475 * * [simplify]: Extracting #4: cost 186 inf + 250
361.477 * * [simplify]: Extracting #5: cost 241 inf + 3742
361.488 * * [simplify]: Extracting #6: cost 169 inf + 28116
361.528 * * [simplify]: Extracting #7: cost 24 inf + 73792
361.570 * * [simplify]: Extracting #8: cost 0 inf + 77907
361.603 * * [simplify]: Extracting #9: cost 0 inf + 76787
361.623 * * [simplify]: Extracting #10: cost 0 inf + 76747
361.649 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))
361.649 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))))))
361.649 * * * * [progress]: [ 446 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
361.650 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
361.650 * * [simplify]: iters left: 6 (45 enodes)
361.662 * * [simplify]: iters left: 5 (219 enodes)
361.711 * * [simplify]: Extracting #0: cost 1 inf + 0
361.711 * * [simplify]: Extracting #1: cost 3 inf + 0
361.712 * * [simplify]: Extracting #2: cost 10 inf + 0
361.712 * * [simplify]: Extracting #3: cost 72 inf + 0
361.712 * * [simplify]: Extracting #4: cost 127 inf + 1
361.712 * * [simplify]: Extracting #5: cost 166 inf + 207
361.713 * * [simplify]: Extracting #6: cost 222 inf + 1613
361.714 * * [simplify]: Extracting #7: cost 204 inf + 6588
361.717 * * [simplify]: Extracting #8: cost 150 inf + 17454
361.722 * * [simplify]: Extracting #9: cost 86 inf + 36641
361.733 * * [simplify]: Extracting #10: cost 29 inf + 72106
361.754 * * [simplify]: Extracting #11: cost 1 inf + 97777
362.460 * * [simplify]: Extracting #12: cost 0 inf + 98722
362.479 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))
362.479 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
362.480 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
362.480 * * [simplify]: iters left: 6 (21 enodes)
362.488 * * [simplify]: iters left: 5 (96 enodes)
362.517 * * [simplify]: iters left: 4 (259 enodes)
362.629 * * [simplify]: Extracting #0: cost 1 inf + 0
362.629 * * [simplify]: Extracting #1: cost 3 inf + 0
362.629 * * [simplify]: Extracting #2: cost 28 inf + 0
362.630 * * [simplify]: Extracting #3: cost 107 inf + 0
362.631 * * [simplify]: Extracting #4: cost 178 inf + 290
362.636 * * [simplify]: Extracting #5: cost 252 inf + 904
362.645 * * [simplify]: Extracting #6: cost 165 inf + 26596
362.679 * * [simplify]: Extracting #7: cost 20 inf + 73568
362.722 * * [simplify]: Extracting #8: cost 0 inf + 80063
362.764 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))
362.765 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))
362.766 * * * * [progress]: [ 447 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
362.766 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
362.767 * * [simplify]: iters left: 6 (40 enodes)
362.787 * * [simplify]: iters left: 5 (191 enodes)
362.853 * * [simplify]: Extracting #0: cost 1 inf + 0
362.853 * * [simplify]: Extracting #1: cost 3 inf + 0
362.853 * * [simplify]: Extracting #2: cost 10 inf + 0
362.853 * * [simplify]: Extracting #3: cost 64 inf + 0
362.853 * * [simplify]: Extracting #4: cost 106 inf + 86
362.854 * * [simplify]: Extracting #5: cost 128 inf + 1229
362.855 * * [simplify]: Extracting #6: cost 181 inf + 2932
362.856 * * [simplify]: Extracting #7: cost 184 inf + 3265
362.860 * * [simplify]: Extracting #8: cost 111 inf + 19436
362.874 * * [simplify]: Extracting #9: cost 48 inf + 47486
362.888 * * [simplify]: Extracting #10: cost 11 inf + 74367
362.908 * * [simplify]: Extracting #11: cost 0 inf + 80521
362.942 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1)))))
362.942 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
362.944 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
362.944 * * [simplify]: iters left: 6 (17 enodes)
362.952 * * [simplify]: iters left: 5 (78 enodes)
362.979 * * [simplify]: iters left: 4 (202 enodes)
363.035 * * [simplify]: Extracting #0: cost 1 inf + 0
363.035 * * [simplify]: Extracting #1: cost 3 inf + 0
363.036 * * [simplify]: Extracting #2: cost 18 inf + 0
363.036 * * [simplify]: Extracting #3: cost 44 inf + 0
363.036 * * [simplify]: Extracting #4: cost 86 inf + 2
363.036 * * [simplify]: Extracting #5: cost 164 inf + 44
363.037 * * [simplify]: Extracting #6: cost 142 inf + 4662
363.043 * * [simplify]: Extracting #7: cost 40 inf + 30099
363.054 * * [simplify]: Extracting #8: cost 2 inf + 39709
363.066 * * [simplify]: Extracting #9: cost 0 inf + 39075
363.077 * * [simplify]: Extracting #10: cost 0 inf + 38995
363.089 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))
363.089 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ phi1 phi2) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))))
363.090 * * * * [progress]: [ 448 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
363.090 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
363.091 * * [simplify]: iters left: 6 (45 enodes)
363.103 * * [simplify]: iters left: 5 (219 enodes)
363.152 * * [simplify]: Extracting #0: cost 1 inf + 0
363.152 * * [simplify]: Extracting #1: cost 3 inf + 0
363.152 * * [simplify]: Extracting #2: cost 10 inf + 0
363.152 * * [simplify]: Extracting #3: cost 72 inf + 0
363.153 * * [simplify]: Extracting #4: cost 127 inf + 1
363.154 * * [simplify]: Extracting #5: cost 166 inf + 207
363.155 * * [simplify]: Extracting #6: cost 219 inf + 2311
363.158 * * [simplify]: Extracting #7: cost 201 inf + 7426
363.163 * * [simplify]: Extracting #8: cost 153 inf + 16628
363.173 * * [simplify]: Extracting #9: cost 86 inf + 36342
363.192 * * [simplify]: Extracting #10: cost 36 inf + 65552
363.213 * * [simplify]: Extracting #11: cost 2 inf + 97872
363.239 * * [simplify]: Extracting #12: cost 0 inf + 99682
363.277 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))
363.277 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
363.278 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
363.278 * * [simplify]: iters left: 6 (21 enodes)
363.287 * * [simplify]: iters left: 5 (96 enodes)
363.305 * * [simplify]: iters left: 4 (259 enodes)
363.432 * * [simplify]: Extracting #0: cost 1 inf + 0
363.433 * * [simplify]: Extracting #1: cost 3 inf + 0
363.433 * * [simplify]: Extracting #2: cost 28 inf + 0
363.433 * * [simplify]: Extracting #3: cost 107 inf + 0
363.434 * * [simplify]: Extracting #4: cost 178 inf + 290
363.435 * * [simplify]: Extracting #5: cost 252 inf + 904
363.439 * * [simplify]: Extracting #6: cost 165 inf + 26596
363.456 * * [simplify]: Extracting #7: cost 20 inf + 73568
363.478 * * [simplify]: Extracting #8: cost 0 inf + 80063
363.520 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))
363.520 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))
363.521 * * * * [progress]: [ 449 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
363.521 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
363.522 * * [simplify]: iters left: 6 (40 enodes)
363.532 * * [simplify]: iters left: 5 (191 enodes)
363.581 * * [simplify]: Extracting #0: cost 1 inf + 0
363.581 * * [simplify]: Extracting #1: cost 3 inf + 0
363.581 * * [simplify]: Extracting #2: cost 10 inf + 0
363.582 * * [simplify]: Extracting #3: cost 63 inf + 0
363.582 * * [simplify]: Extracting #4: cost 106 inf + 86
363.582 * * [simplify]: Extracting #5: cost 126 inf + 1553
363.583 * * [simplify]: Extracting #6: cost 181 inf + 2932
363.584 * * [simplify]: Extracting #7: cost 183 inf + 3386
363.587 * * [simplify]: Extracting #8: cost 112 inf + 19534
363.598 * * [simplify]: Extracting #9: cost 45 inf + 49166
363.625 * * [simplify]: Extracting #10: cost 9 inf + 75324
363.657 * * [simplify]: Extracting #11: cost 0 inf + 80921
363.688 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))
363.689 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* lambda1 (* lambda1 lambda1)) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
363.689 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
363.689 * * [simplify]: iters left: 6 (17 enodes)
363.693 * * [simplify]: iters left: 5 (78 enodes)
363.708 * * [simplify]: iters left: 4 (202 enodes)
363.795 * * [simplify]: Extracting #0: cost 1 inf + 0
363.795 * * [simplify]: Extracting #1: cost 3 inf + 0
363.795 * * [simplify]: Extracting #2: cost 18 inf + 0
363.796 * * [simplify]: Extracting #3: cost 44 inf + 0
363.796 * * [simplify]: Extracting #4: cost 86 inf + 2
363.797 * * [simplify]: Extracting #5: cost 164 inf + 44
363.799 * * [simplify]: Extracting #6: cost 142 inf + 4662
363.811 * * [simplify]: Extracting #7: cost 40 inf + 30099
363.832 * * [simplify]: Extracting #8: cost 2 inf + 39709
363.853 * * [simplify]: Extracting #9: cost 0 inf + 39075
363.875 * * [simplify]: Extracting #10: cost 0 inf + 38995
363.897 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))
363.897 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (+ phi1 phi2) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))))
363.898 * * * * [progress]: [ 450 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
363.898 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
363.899 * * [simplify]: iters left: 6 (51 enodes)
363.928 * * [simplify]: iters left: 5 (244 enodes)
363.998 * * [simplify]: Extracting #0: cost 1 inf + 0
363.998 * * [simplify]: Extracting #1: cost 3 inf + 0
363.998 * * [simplify]: Extracting #2: cost 6 inf + 0
363.999 * * [simplify]: Extracting #3: cost 56 inf + 0
363.999 * * [simplify]: Extracting #4: cost 130 inf + 0
363.999 * * [simplify]: Extracting #5: cost 207 inf + 0
364.000 * * [simplify]: Extracting #6: cost 276 inf + 1476
364.002 * * [simplify]: Extracting #7: cost 200 inf + 14914
364.009 * * [simplify]: Extracting #8: cost 132 inf + 39170
364.021 * * [simplify]: Extracting #9: cost 91 inf + 53009
364.039 * * [simplify]: Extracting #10: cost 56 inf + 65513
364.065 * * [simplify]: Extracting #11: cost 34 inf + 81023
364.104 * * [simplify]: Extracting #12: cost 5 inf + 115028
364.135 * * [simplify]: Extracting #13: cost 0 inf + 123433
364.166 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
364.166 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
364.167 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
364.167 * * [simplify]: iters left: 6 (24 enodes)
364.173 * * [simplify]: iters left: 5 (107 enodes)
364.194 * * [simplify]: iters left: 4 (319 enodes)
364.464 * * [simplify]: Extracting #0: cost 1 inf + 0
364.464 * * [simplify]: Extracting #1: cost 3 inf + 0
364.464 * * [simplify]: Extracting #2: cost 41 inf + 0
364.465 * * [simplify]: Extracting #3: cost 305 inf + 0
364.467 * * [simplify]: Extracting #4: cost 478 inf + 85
364.478 * * [simplify]: Extracting #5: cost 375 inf + 64359
364.531 * * [simplify]: Extracting #6: cost 22 inf + 214524
364.606 * * [simplify]: Extracting #7: cost 0 inf + 210790
364.680 * * [simplify]: Extracting #8: cost 0 inf + 210510
364.752 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))
364.752 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))))
364.754 * * * * [progress]: [ 451 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
364.754 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
364.755 * * [simplify]: iters left: 6 (52 enodes)
364.778 * * [simplify]: iters left: 5 (253 enodes)
364.864 * * [simplify]: Extracting #0: cost 1 inf + 0
364.864 * * [simplify]: Extracting #1: cost 3 inf + 0
364.865 * * [simplify]: Extracting #2: cost 6 inf + 0
364.865 * * [simplify]: Extracting #3: cost 60 inf + 0
364.865 * * [simplify]: Extracting #4: cost 153 inf + 0
364.866 * * [simplify]: Extracting #5: cost 221 inf + 44
364.870 * * [simplify]: Extracting #6: cost 250 inf + 6142
364.876 * * [simplify]: Extracting #7: cost 193 inf + 16665
364.888 * * [simplify]: Extracting #8: cost 128 inf + 37071
364.914 * * [simplify]: Extracting #9: cost 55 inf + 69523
364.940 * * [simplify]: Extracting #10: cost 35 inf + 83615
364.982 * * [simplify]: Extracting #11: cost 2 inf + 122000
365.007 * * [simplify]: Extracting #12: cost 1 inf + 124065
365.049 * * [simplify]: Extracting #13: cost 0 inf + 126130
365.091 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))))
365.091 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
365.092 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
365.092 * * [simplify]: iters left: 6 (25 enodes)
365.098 * * [simplify]: iters left: 5 (111 enodes)
365.120 * * [simplify]: iters left: 4 (316 enodes)
365.319 * * [simplify]: Extracting #0: cost 1 inf + 0
365.319 * * [simplify]: Extracting #1: cost 3 inf + 0
365.319 * * [simplify]: Extracting #2: cost 67 inf + 0
365.320 * * [simplify]: Extracting #3: cost 325 inf + 0
365.321 * * [simplify]: Extracting #4: cost 427 inf + 249
365.334 * * [simplify]: Extracting #5: cost 310 inf + 74227
365.391 * * [simplify]: Extracting #6: cost 31 inf + 187661
365.462 * * [simplify]: Extracting #7: cost 0 inf + 193957
365.514 * * [simplify]: Extracting #8: cost 0 inf + 193717
365.603 * [simplify]: Simplified to (sqrt (* (* (+ phi2 phi1) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
365.603 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (+ phi2 phi1) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))))
365.604 * * * * [progress]: [ 452 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
365.605 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
365.605 * * [simplify]: iters left: 6 (52 enodes)
365.632 * * [simplify]: iters left: 5 (253 enodes)
365.738 * * [simplify]: Extracting #0: cost 1 inf + 0
365.738 * * [simplify]: Extracting #1: cost 3 inf + 0
365.738 * * [simplify]: Extracting #2: cost 6 inf + 0
365.738 * * [simplify]: Extracting #3: cost 62 inf + 0
365.739 * * [simplify]: Extracting #4: cost 151 inf + 0
365.740 * * [simplify]: Extracting #5: cost 216 inf + 86
365.743 * * [simplify]: Extracting #6: cost 249 inf + 5657
365.749 * * [simplify]: Extracting #7: cost 199 inf + 14365
365.759 * * [simplify]: Extracting #8: cost 140 inf + 30709
365.781 * * [simplify]: Extracting #9: cost 66 inf + 63043
365.807 * * [simplify]: Extracting #10: cost 34 inf + 83072
365.839 * * [simplify]: Extracting #11: cost 2 inf + 119512
365.865 * * [simplify]: Extracting #12: cost 1 inf + 121577
365.901 * * [simplify]: Extracting #13: cost 0 inf + 123642
365.928 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
365.928 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
365.929 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
365.929 * * [simplify]: iters left: 6 (25 enodes)
365.936 * * [simplify]: iters left: 5 (111 enodes)
365.977 * * [simplify]: iters left: 4 (314 enodes)
366.188 * * [simplify]: Extracting #0: cost 1 inf + 0
366.188 * * [simplify]: Extracting #1: cost 3 inf + 0
366.188 * * [simplify]: Extracting #2: cost 59 inf + 0
366.190 * * [simplify]: Extracting #3: cost 294 inf + 0
366.192 * * [simplify]: Extracting #4: cost 378 inf + 818
366.207 * * [simplify]: Extracting #5: cost 280 inf + 64444
366.247 * * [simplify]: Extracting #6: cost 9 inf + 170512
366.319 * * [simplify]: Extracting #7: cost 0 inf + 166176
366.368 * * [simplify]: Extracting #8: cost 0 inf + 166016
366.441 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (cbrt (+ lambda1 lambda2))))
366.441 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (cbrt (+ lambda1 lambda2)))))))
366.442 * * * * [progress]: [ 453 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
366.442 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
366.443 * * [simplify]: iters left: 6 (46 enodes)
366.463 * * [simplify]: iters left: 5 (217 enodes)
366.526 * * [simplify]: Extracting #0: cost 1 inf + 0
366.526 * * [simplify]: Extracting #1: cost 3 inf + 0
366.526 * * [simplify]: Extracting #2: cost 6 inf + 0
366.526 * * [simplify]: Extracting #3: cost 54 inf + 0
366.527 * * [simplify]: Extracting #4: cost 119 inf + 0
366.528 * * [simplify]: Extracting #5: cost 165 inf + 44
366.529 * * [simplify]: Extracting #6: cost 225 inf + 1114
366.532 * * [simplify]: Extracting #7: cost 193 inf + 6231
366.538 * * [simplify]: Extracting #8: cost 144 inf + 19862
366.550 * * [simplify]: Extracting #9: cost 91 inf + 42234
366.568 * * [simplify]: Extracting #10: cost 49 inf + 56599
366.592 * * [simplify]: Extracting #11: cost 28 inf + 69801
366.624 * * [simplify]: Extracting #12: cost 2 inf + 98171
366.647 * * [simplify]: Extracting #13: cost 0 inf + 101781
366.676 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))))
366.676 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
366.677 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))
366.677 * * [simplify]: iters left: 6 (20 enodes)
366.682 * * [simplify]: iters left: 5 (89 enodes)
366.699 * * [simplify]: iters left: 4 (244 enodes)
366.830 * * [simplify]: Extracting #0: cost 1 inf + 0
366.830 * * [simplify]: Extracting #1: cost 3 inf + 0
366.830 * * [simplify]: Extracting #2: cost 35 inf + 0
366.831 * * [simplify]: Extracting #3: cost 165 inf + 0
366.831 * * [simplify]: Extracting #4: cost 221 inf + 169
366.835 * * [simplify]: Extracting #5: cost 210 inf + 22223
366.854 * * [simplify]: Extracting #6: cost 39 inf + 80677
366.890 * * [simplify]: Extracting #7: cost 0 inf + 90391
366.928 * * [simplify]: Extracting #8: cost 0 inf + 90231
366.949 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (+ phi1 phi2))))
366.950 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (+ phi1 phi2)))))))
366.950 * * * * [progress]: [ 454 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
366.950 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
366.951 * * [simplify]: iters left: 6 (51 enodes)
366.969 * * [simplify]: iters left: 5 (245 enodes)
367.074 * * [simplify]: Extracting #0: cost 1 inf + 0
367.074 * * [simplify]: Extracting #1: cost 3 inf + 0
367.074 * * [simplify]: Extracting #2: cost 10 inf + 0
367.075 * * [simplify]: Extracting #3: cost 74 inf + 0
367.075 * * [simplify]: Extracting #4: cost 137 inf + 1
367.076 * * [simplify]: Extracting #5: cost 186 inf + 249
367.078 * * [simplify]: Extracting #6: cost 241 inf + 2417
367.084 * * [simplify]: Extracting #7: cost 169 inf + 21718
367.093 * * [simplify]: Extracting #8: cost 124 inf + 39442
367.102 * * [simplify]: Extracting #9: cost 92 inf + 50065
367.113 * * [simplify]: Extracting #10: cost 50 inf + 66742
367.146 * * [simplify]: Extracting #11: cost 10 inf + 102102
367.194 * * [simplify]: Extracting #12: cost 0 inf + 116672
367.242 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))
367.242 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
367.243 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
367.244 * * [simplify]: iters left: 6 (23 enodes)
367.254 * * [simplify]: iters left: 5 (102 enodes)
367.281 * * [simplify]: iters left: 4 (261 enodes)
367.403 * * [simplify]: Extracting #0: cost 1 inf + 0
367.403 * * [simplify]: Extracting #1: cost 3 inf + 0
367.403 * * [simplify]: Extracting #2: cost 33 inf + 0
367.403 * * [simplify]: Extracting #3: cost 142 inf + 0
367.404 * * [simplify]: Extracting #4: cost 221 inf + 371
367.408 * * [simplify]: Extracting #5: cost 216 inf + 26700
367.432 * * [simplify]: Extracting #6: cost 29 inf + 91913
367.456 * * [simplify]: Extracting #7: cost 0 inf + 98330
367.508 * * [simplify]: Extracting #8: cost 0 inf + 97610
367.534 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))))))
367.535 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))) (sqrt (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2)))))))))
367.535 * * * * [progress]: [ 455 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
367.536 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
367.536 * * [simplify]: iters left: 6 (46 enodes)
367.548 * * [simplify]: iters left: 5 (217 enodes)
367.619 * * [simplify]: Extracting #0: cost 1 inf + 0
367.619 * * [simplify]: Extracting #1: cost 3 inf + 0
367.619 * * [simplify]: Extracting #2: cost 10 inf + 0
367.619 * * [simplify]: Extracting #3: cost 66 inf + 0
367.620 * * [simplify]: Extracting #4: cost 117 inf + 44
367.621 * * [simplify]: Extracting #5: cost 151 inf + 1024
367.623 * * [simplify]: Extracting #6: cost 210 inf + 3138
367.626 * * [simplify]: Extracting #7: cost 186 inf + 7806
367.632 * * [simplify]: Extracting #8: cost 147 inf + 16329
367.643 * * [simplify]: Extracting #9: cost 97 inf + 35639
367.662 * * [simplify]: Extracting #10: cost 42 inf + 58634
367.683 * * [simplify]: Extracting #11: cost 17 inf + 81206
367.703 * * [simplify]: Extracting #12: cost 0 inf + 98031
367.737 * * [simplify]: Extracting #13: cost 0 inf + 97551
367.773 * * [simplify]: Extracting #14: cost 0 inf + 97511
367.794 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))))))
367.794 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
367.794 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
367.795 * * [simplify]: iters left: 6 (19 enodes)
367.800 * * [simplify]: iters left: 5 (84 enodes)
367.836 * * [simplify]: iters left: 4 (204 enodes)
367.902 * * [simplify]: Extracting #0: cost 1 inf + 0
367.903 * * [simplify]: Extracting #1: cost 3 inf + 0
367.903 * * [simplify]: Extracting #2: cost 23 inf + 0
367.903 * * [simplify]: Extracting #3: cost 69 inf + 0
367.903 * * [simplify]: Extracting #4: cost 113 inf + 44
367.904 * * [simplify]: Extracting #5: cost 174 inf + 1382
367.909 * * [simplify]: Extracting #6: cost 75 inf + 27460
367.921 * * [simplify]: Extracting #7: cost 7 inf + 47791
367.944 * * [simplify]: Extracting #8: cost 0 inf + 48572
367.961 * * [simplify]: Extracting #9: cost 0 inf + 48092
367.973 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
367.974 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))))
367.974 * * * * [progress]: [ 456 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
367.974 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
367.975 * * [simplify]: iters left: 6 (51 enodes)
367.999 * * [simplify]: iters left: 5 (245 enodes)
368.067 * * [simplify]: Extracting #0: cost 1 inf + 0
368.067 * * [simplify]: Extracting #1: cost 3 inf + 0
368.067 * * [simplify]: Extracting #2: cost 10 inf + 0
368.068 * * [simplify]: Extracting #3: cost 74 inf + 0
368.068 * * [simplify]: Extracting #4: cost 137 inf + 1
368.068 * * [simplify]: Extracting #5: cost 187 inf + 207
368.069 * * [simplify]: Extracting #6: cost 240 inf + 2739
368.073 * * [simplify]: Extracting #7: cost 163 inf + 23374
368.082 * * [simplify]: Extracting #8: cost 124 inf + 40242
368.090 * * [simplify]: Extracting #9: cost 93 inf + 50159
368.104 * * [simplify]: Extracting #10: cost 55 inf + 64177
368.118 * * [simplify]: Extracting #11: cost 25 inf + 86447
368.147 * * [simplify]: Extracting #12: cost 0 inf + 115312
368.192 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))
368.192 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
368.194 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
368.194 * * [simplify]: iters left: 6 (23 enodes)
368.205 * * [simplify]: iters left: 5 (102 enodes)
368.239 * * [simplify]: iters left: 4 (261 enodes)
368.345 * * [simplify]: Extracting #0: cost 1 inf + 0
368.345 * * [simplify]: Extracting #1: cost 3 inf + 0
368.345 * * [simplify]: Extracting #2: cost 33 inf + 0
368.346 * * [simplify]: Extracting #3: cost 142 inf + 0
368.346 * * [simplify]: Extracting #4: cost 221 inf + 371
368.352 * * [simplify]: Extracting #5: cost 216 inf + 26700
368.382 * * [simplify]: Extracting #6: cost 29 inf + 91913
368.431 * * [simplify]: Extracting #7: cost 0 inf + 98330
368.477 * * [simplify]: Extracting #8: cost 0 inf + 97610
368.506 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))))))
368.506 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ lambda2 lambda1) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2)))))))))
368.507 * * * * [progress]: [ 457 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
368.507 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
368.508 * * [simplify]: iters left: 6 (46 enodes)
368.519 * * [simplify]: iters left: 5 (217 enodes)
368.595 * * [simplify]: Extracting #0: cost 1 inf + 0
368.595 * * [simplify]: Extracting #1: cost 3 inf + 0
368.595 * * [simplify]: Extracting #2: cost 10 inf + 0
368.595 * * [simplify]: Extracting #3: cost 65 inf + 0
368.595 * * [simplify]: Extracting #4: cost 117 inf + 44
368.596 * * [simplify]: Extracting #5: cost 153 inf + 660
368.597 * * [simplify]: Extracting #6: cost 211 inf + 2976
368.600 * * [simplify]: Extracting #7: cost 187 inf + 7724
368.603 * * [simplify]: Extracting #8: cost 147 inf + 16611
368.610 * * [simplify]: Extracting #9: cost 99 inf + 35317
368.620 * * [simplify]: Extracting #10: cost 43 inf + 59022
368.634 * * [simplify]: Extracting #11: cost 21 inf + 74186
368.667 * * [simplify]: Extracting #12: cost 2 inf + 94581
368.689 * * [simplify]: Extracting #13: cost 0 inf + 97951
368.724 * * [simplify]: Extracting #14: cost 0 inf + 97911
368.745 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))))))
368.745 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 (* lambda1 lambda1)) (* (* lambda2 lambda2) lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
368.746 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
368.746 * * [simplify]: iters left: 6 (19 enodes)
368.751 * * [simplify]: iters left: 5 (84 enodes)
368.767 * * [simplify]: iters left: 4 (204 enodes)
368.837 * * [simplify]: Extracting #0: cost 1 inf + 0
368.837 * * [simplify]: Extracting #1: cost 3 inf + 0
368.837 * * [simplify]: Extracting #2: cost 23 inf + 0
368.837 * * [simplify]: Extracting #3: cost 69 inf + 0
368.837 * * [simplify]: Extracting #4: cost 113 inf + 44
368.838 * * [simplify]: Extracting #5: cost 174 inf + 1382
368.843 * * [simplify]: Extracting #6: cost 75 inf + 27460
368.862 * * [simplify]: Extracting #7: cost 7 inf + 47791
368.887 * * [simplify]: Extracting #8: cost 0 inf + 48572
368.913 * * [simplify]: Extracting #9: cost 0 inf + 48092
368.937 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
368.937 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))))
368.938 * * * * [progress]: [ 458 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
368.939 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
368.939 * * [simplify]: iters left: 6 (48 enodes)
368.957 * * [simplify]: iters left: 5 (228 enodes)
369.026 * * [simplify]: Extracting #0: cost 1 inf + 0
369.026 * * [simplify]: Extracting #1: cost 3 inf + 0
369.026 * * [simplify]: Extracting #2: cost 6 inf + 0
369.027 * * [simplify]: Extracting #3: cost 48 inf + 0
369.027 * * [simplify]: Extracting #4: cost 112 inf + 0
369.028 * * [simplify]: Extracting #5: cost 179 inf + 0
369.029 * * [simplify]: Extracting #6: cost 252 inf + 384
369.032 * * [simplify]: Extracting #7: cost 213 inf + 7964
369.039 * * [simplify]: Extracting #8: cost 114 inf + 31735
369.056 * * [simplify]: Extracting #9: cost 54 inf + 53050
369.081 * * [simplify]: Extracting #10: cost 28 inf + 72884
369.108 * * [simplify]: Extracting #11: cost 1 inf + 102759
369.133 * * [simplify]: Extracting #12: cost 0 inf + 104544
369.162 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))
369.162 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
369.163 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
369.163 * * [simplify]: iters left: 6 (23 enodes)
369.170 * * [simplify]: iters left: 5 (103 enodes)
369.202 * * [simplify]: iters left: 4 (304 enodes)
369.385 * * [simplify]: Extracting #0: cost 1 inf + 0
369.385 * * [simplify]: Extracting #1: cost 3 inf + 0
369.385 * * [simplify]: Extracting #2: cost 37 inf + 0
369.385 * * [simplify]: Extracting #3: cost 253 inf + 0
369.387 * * [simplify]: Extracting #4: cost 415 inf + 248
369.391 * * [simplify]: Extracting #5: cost 388 inf + 19102
369.412 * * [simplify]: Extracting #6: cost 182 inf + 94027
369.467 * * [simplify]: Extracting #7: cost 4 inf + 179498
369.530 * * [simplify]: Extracting #8: cost 0 inf + 180665
369.611 * [simplify]: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
369.611 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))))
369.611 * * * * [progress]: [ 459 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
369.612 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
369.612 * * [simplify]: iters left: 6 (49 enodes)
369.627 * * [simplify]: iters left: 5 (237 enodes)
369.707 * * [simplify]: Extracting #0: cost 1 inf + 0
369.707 * * [simplify]: Extracting #1: cost 3 inf + 0
369.707 * * [simplify]: Extracting #2: cost 6 inf + 0
369.707 * * [simplify]: Extracting #3: cost 52 inf + 0
369.708 * * [simplify]: Extracting #4: cost 135 inf + 0
369.708 * * [simplify]: Extracting #5: cost 192 inf + 85
369.709 * * [simplify]: Extracting #6: cost 220 inf + 6020
369.714 * * [simplify]: Extracting #7: cost 191 inf + 13845
369.724 * * [simplify]: Extracting #8: cost 124 inf + 33189
369.733 * * [simplify]: Extracting #9: cost 75 inf + 51238
369.745 * * [simplify]: Extracting #10: cost 39 inf + 67266
369.769 * * [simplify]: Extracting #11: cost 4 inf + 101301
369.793 * * [simplify]: Extracting #12: cost 0 inf + 107201
369.819 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))))))
369.819 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
369.819 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
369.820 * * [simplify]: iters left: 6 (24 enodes)
369.825 * * [simplify]: iters left: 5 (106 enodes)
369.845 * * [simplify]: iters left: 4 (300 enodes)
370.054 * * [simplify]: Extracting #0: cost 1 inf + 0
370.054 * * [simplify]: Extracting #1: cost 3 inf + 0
370.054 * * [simplify]: Extracting #2: cost 63 inf + 0
370.055 * * [simplify]: Extracting #3: cost 268 inf + 0
370.057 * * [simplify]: Extracting #4: cost 357 inf + 290
370.062 * * [simplify]: Extracting #5: cost 387 inf + 5217
370.090 * * [simplify]: Extracting #6: cost 197 inf + 78220
370.166 * * [simplify]: Extracting #7: cost 7 inf + 156212
370.236 * * [simplify]: Extracting #8: cost 0 inf + 160198
370.291 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))))
370.291 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)))))))
370.292 * * * * [progress]: [ 460 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
370.292 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
370.293 * * [simplify]: iters left: 6 (49 enodes)
370.321 * * [simplify]: iters left: 5 (237 enodes)
370.398 * * [simplify]: Extracting #0: cost 1 inf + 0
370.398 * * [simplify]: Extracting #1: cost 3 inf + 0
370.398 * * [simplify]: Extracting #2: cost 6 inf + 0
370.399 * * [simplify]: Extracting #3: cost 54 inf + 0
370.399 * * [simplify]: Extracting #4: cost 133 inf + 0
370.400 * * [simplify]: Extracting #5: cost 187 inf + 166
370.403 * * [simplify]: Extracting #6: cost 217 inf + 6097
370.408 * * [simplify]: Extracting #7: cost 194 inf + 13063
370.417 * * [simplify]: Extracting #8: cost 138 inf + 26425
370.434 * * [simplify]: Extracting #9: cost 86 inf + 44270
370.450 * * [simplify]: Extracting #10: cost 38 inf + 66603
370.467 * * [simplify]: Extracting #11: cost 7 inf + 96098
370.502 * * [simplify]: Extracting #12: cost 0 inf + 104913
370.525 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))))
370.525 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
370.526 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
370.526 * * [simplify]: iters left: 6 (24 enodes)
370.532 * * [simplify]: iters left: 5 (106 enodes)
370.554 * * [simplify]: iters left: 4 (298 enodes)
370.737 * * [simplify]: Extracting #0: cost 1 inf + 0
370.737 * * [simplify]: Extracting #1: cost 3 inf + 0
370.738 * * [simplify]: Extracting #2: cost 55 inf + 0
370.739 * * [simplify]: Extracting #3: cost 255 inf + 0
370.741 * * [simplify]: Extracting #4: cost 329 inf + 493
370.746 * * [simplify]: Extracting #5: cost 339 inf + 9942
370.762 * * [simplify]: Extracting #6: cost 188 inf + 70445
370.822 * * [simplify]: Extracting #7: cost 5 inf + 143569
370.868 * * [simplify]: Extracting #8: cost 0 inf + 146227
370.938 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))))
370.938 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))))
370.938 * * * * [progress]: [ 461 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
370.939 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
370.939 * * [simplify]: iters left: 6 (43 enodes)
370.950 * * [simplify]: iters left: 5 (200 enodes)
371.013 * * [simplify]: Extracting #0: cost 1 inf + 0
371.013 * * [simplify]: Extracting #1: cost 3 inf + 0
371.013 * * [simplify]: Extracting #2: cost 6 inf + 0
371.013 * * [simplify]: Extracting #3: cost 46 inf + 0
371.013 * * [simplify]: Extracting #4: cost 101 inf + 0
371.014 * * [simplify]: Extracting #5: cost 137 inf + 44
371.015 * * [simplify]: Extracting #6: cost 192 inf + 1520
371.016 * * [simplify]: Extracting #7: cost 185 inf + 3962
371.019 * * [simplify]: Extracting #8: cost 110 inf + 23747
371.028 * * [simplify]: Extracting #9: cost 42 inf + 54301
371.050 * * [simplify]: Extracting #10: cost 6 inf + 80168
371.071 * * [simplify]: Extracting #11: cost 0 inf + 83372
371.088 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))))))
371.088 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
371.089 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))
371.089 * * [simplify]: iters left: 6 (19 enodes)
371.094 * * [simplify]: iters left: 5 (85 enodes)
371.112 * * [simplify]: iters left: 4 (229 enodes)
371.226 * * [simplify]: Extracting #0: cost 1 inf + 0
371.226 * * [simplify]: Extracting #1: cost 3 inf + 0
371.226 * * [simplify]: Extracting #2: cost 31 inf + 0
371.226 * * [simplify]: Extracting #3: cost 136 inf + 0
371.227 * * [simplify]: Extracting #4: cost 184 inf + 494
371.228 * * [simplify]: Extracting #5: cost 220 inf + 5659
371.233 * * [simplify]: Extracting #6: cost 157 inf + 26343
371.248 * * [simplify]: Extracting #7: cost 23 inf + 66660
371.276 * * [simplify]: Extracting #8: cost 0 inf + 76535
371.312 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))
371.313 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
371.314 * * * * [progress]: [ 462 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
371.314 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
371.314 * * [simplify]: iters left: 6 (48 enodes)
371.329 * * [simplify]: iters left: 5 (228 enodes)
371.398 * * [simplify]: Extracting #0: cost 1 inf + 0
371.398 * * [simplify]: Extracting #1: cost 3 inf + 0
371.399 * * [simplify]: Extracting #2: cost 10 inf + 0
371.399 * * [simplify]: Extracting #3: cost 62 inf + 0
371.399 * * [simplify]: Extracting #4: cost 115 inf + 42
371.399 * * [simplify]: Extracting #5: cost 156 inf + 207
371.400 * * [simplify]: Extracting #6: cost 212 inf + 2207
371.402 * * [simplify]: Extracting #7: cost 184 inf + 10304
371.404 * * [simplify]: Extracting #8: cost 144 inf + 17723
371.410 * * [simplify]: Extracting #9: cost 86 inf + 38905
371.425 * * [simplify]: Extracting #10: cost 33 inf + 60843
371.454 * * [simplify]: Extracting #11: cost 10 inf + 84538
371.492 * * [simplify]: Extracting #12: cost 0 inf + 96588
371.532 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))
371.532 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
371.534 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
371.534 * * [simplify]: iters left: 6 (22 enodes)
371.544 * * [simplify]: iters left: 5 (98 enodes)
371.576 * * [simplify]: iters left: 4 (240 enodes)
371.667 * * [simplify]: Extracting #0: cost 1 inf + 0
371.667 * * [simplify]: Extracting #1: cost 3 inf + 0
371.670 * * [simplify]: Extracting #2: cost 27 inf + 0
371.671 * * [simplify]: Extracting #3: cost 108 inf + 0
371.672 * * [simplify]: Extracting #4: cost 168 inf + 454
371.674 * * [simplify]: Extracting #5: cost 231 inf + 1112
371.681 * * [simplify]: Extracting #6: cost 151 inf + 25992
371.713 * * [simplify]: Extracting #7: cost 6 inf + 72681
371.734 * * [simplify]: Extracting #8: cost 0 inf + 75379
371.766 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))
371.766 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))))
371.767 * * * * [progress]: [ 463 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
371.768 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
371.769 * * [simplify]: iters left: 6 (43 enodes)
371.796 * * [simplify]: iters left: 5 (200 enodes)
371.874 * * [simplify]: Extracting #0: cost 1 inf + 0
371.874 * * [simplify]: Extracting #1: cost 3 inf + 0
371.874 * * [simplify]: Extracting #2: cost 10 inf + 0
371.874 * * [simplify]: Extracting #3: cost 54 inf + 0
371.874 * * [simplify]: Extracting #4: cost 95 inf + 86
371.875 * * [simplify]: Extracting #5: cost 118 inf + 1349
371.877 * * [simplify]: Extracting #6: cost 179 inf + 2934
371.880 * * [simplify]: Extracting #7: cost 175 inf + 4648
371.886 * * [simplify]: Extracting #8: cost 120 inf + 18993
371.902 * * [simplify]: Extracting #9: cost 41 inf + 48582
371.917 * * [simplify]: Extracting #10: cost 6 inf + 73924
371.933 * * [simplify]: Extracting #11: cost 0 inf + 77867
371.951 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))))
371.951 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
371.952 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
371.952 * * [simplify]: iters left: 6 (18 enodes)
371.956 * * [simplify]: iters left: 5 (80 enodes)
371.970 * * [simplify]: iters left: 4 (183 enodes)
372.047 * * [simplify]: Extracting #0: cost 1 inf + 0
372.048 * * [simplify]: Extracting #1: cost 3 inf + 0
372.048 * * [simplify]: Extracting #2: cost 17 inf + 0
372.048 * * [simplify]: Extracting #3: cost 49 inf + 0
372.048 * * [simplify]: Extracting #4: cost 83 inf + 44
372.048 * * [simplify]: Extracting #5: cost 153 inf + 130
372.049 * * [simplify]: Extracting #6: cost 134 inf + 3871
372.055 * * [simplify]: Extracting #7: cost 31 inf + 28425
372.065 * * [simplify]: Extracting #8: cost 0 inf + 37339
372.083 * * [simplify]: Extracting #9: cost 0 inf + 37299
372.102 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))
372.102 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ phi1 phi2) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))))))
372.103 * * * * [progress]: [ 464 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
372.104 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
372.104 * * [simplify]: iters left: 6 (48 enodes)
372.119 * * [simplify]: iters left: 5 (228 enodes)
372.176 * * [simplify]: Extracting #0: cost 1 inf + 0
372.176 * * [simplify]: Extracting #1: cost 3 inf + 0
372.176 * * [simplify]: Extracting #2: cost 10 inf + 0
372.176 * * [simplify]: Extracting #3: cost 62 inf + 0
372.176 * * [simplify]: Extracting #4: cost 115 inf + 42
372.177 * * [simplify]: Extracting #5: cost 155 inf + 249
372.177 * * [simplify]: Extracting #6: cost 213 inf + 2407
372.179 * * [simplify]: Extracting #7: cost 183 inf + 10796
372.182 * * [simplify]: Extracting #8: cost 144 inf + 17410
372.190 * * [simplify]: Extracting #9: cost 86 inf + 39024
372.211 * * [simplify]: Extracting #10: cost 33 inf + 61963
372.237 * * [simplify]: Extracting #11: cost 10 inf + 85658
372.258 * * [simplify]: Extracting #12: cost 0 inf + 97708
372.294 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))))
372.294 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
372.295 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
372.295 * * [simplify]: iters left: 6 (22 enodes)
372.301 * * [simplify]: iters left: 5 (98 enodes)
372.319 * * [simplify]: iters left: 4 (240 enodes)
372.429 * * [simplify]: Extracting #0: cost 1 inf + 0
372.429 * * [simplify]: Extracting #1: cost 3 inf + 0
372.429 * * [simplify]: Extracting #2: cost 27 inf + 0
372.430 * * [simplify]: Extracting #3: cost 108 inf + 0
372.431 * * [simplify]: Extracting #4: cost 168 inf + 454
372.433 * * [simplify]: Extracting #5: cost 231 inf + 1112
372.442 * * [simplify]: Extracting #6: cost 151 inf + 25992
372.475 * * [simplify]: Extracting #7: cost 6 inf + 72681
372.517 * * [simplify]: Extracting #8: cost 0 inf + 75379
372.539 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))
372.539 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))))
372.539 * * * * [progress]: [ 465 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
372.540 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
372.540 * * [simplify]: iters left: 6 (43 enodes)
372.552 * * [simplify]: iters left: 5 (200 enodes)
372.613 * * [simplify]: Extracting #0: cost 1 inf + 0
372.613 * * [simplify]: Extracting #1: cost 3 inf + 0
372.613 * * [simplify]: Extracting #2: cost 10 inf + 0
372.613 * * [simplify]: Extracting #3: cost 53 inf + 0
372.614 * * [simplify]: Extracting #4: cost 96 inf + 44
372.614 * * [simplify]: Extracting #5: cost 120 inf + 1104
372.616 * * [simplify]: Extracting #6: cost 178 inf + 2976
372.619 * * [simplify]: Extracting #7: cost 175 inf + 4650
372.623 * * [simplify]: Extracting #8: cost 111 inf + 20488
372.631 * * [simplify]: Extracting #9: cost 47 inf + 44880
372.645 * * [simplify]: Extracting #10: cost 6 inf + 74995
372.673 * * [simplify]: Extracting #11: cost 0 inf + 78707
372.694 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))))
372.694 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
372.694 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
372.694 * * [simplify]: iters left: 6 (18 enodes)
372.698 * * [simplify]: iters left: 5 (80 enodes)
372.712 * * [simplify]: iters left: 4 (183 enodes)
372.787 * * [simplify]: Extracting #0: cost 1 inf + 0
372.787 * * [simplify]: Extracting #1: cost 3 inf + 0
372.788 * * [simplify]: Extracting #2: cost 17 inf + 0
372.788 * * [simplify]: Extracting #3: cost 49 inf + 0
372.788 * * [simplify]: Extracting #4: cost 83 inf + 44
372.788 * * [simplify]: Extracting #5: cost 153 inf + 130
372.789 * * [simplify]: Extracting #6: cost 134 inf + 3871
372.795 * * [simplify]: Extracting #7: cost 31 inf + 28425
372.805 * * [simplify]: Extracting #8: cost 0 inf + 37339
372.817 * * [simplify]: Extracting #9: cost 0 inf + 37299
372.838 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))
372.838 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (+ phi1 phi2) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))))))
372.839 * * * * [progress]: [ 466 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
372.840 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
372.840 * * [simplify]: iters left: 6 (52 enodes)
372.861 * * [simplify]: iters left: 5 (255 enodes)
372.947 * * [simplify]: Extracting #0: cost 1 inf + 0
372.947 * * [simplify]: Extracting #1: cost 3 inf + 0
372.947 * * [simplify]: Extracting #2: cost 6 inf + 0
372.947 * * [simplify]: Extracting #3: cost 56 inf + 0
372.948 * * [simplify]: Extracting #4: cost 130 inf + 0
372.949 * * [simplify]: Extracting #5: cost 210 inf + 0
372.950 * * [simplify]: Extracting #6: cost 297 inf + 2653
372.953 * * [simplify]: Extracting #7: cost 255 inf + 10569
372.962 * * [simplify]: Extracting #8: cost 142 inf + 35985
372.980 * * [simplify]: Extracting #9: cost 61 inf + 68362
373.001 * * [simplify]: Extracting #10: cost 9 inf + 120085
373.039 * * [simplify]: Extracting #11: cost 1 inf + 129965
373.067 * * [simplify]: Extracting #12: cost 0 inf + 131990
373.110 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))))
373.111 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
373.112 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
373.112 * * [simplify]: iters left: 6 (25 enodes)
373.127 * * [simplify]: iters left: 5 (117 enodes)
373.162 * * [simplify]: iters left: 4 (379 enodes)
373.438 * * [simplify]: Extracting #0: cost 1 inf + 0
373.438 * * [simplify]: Extracting #1: cost 3 inf + 0
373.439 * * [simplify]: Extracting #2: cost 45 inf + 0
373.441 * * [simplify]: Extracting #3: cost 301 inf + 0
373.444 * * [simplify]: Extracting #4: cost 493 inf + 126
373.451 * * [simplify]: Extracting #5: cost 478 inf + 16511
373.473 * * [simplify]: Extracting #6: cost 240 inf + 116839
373.546 * * [simplify]: Extracting #7: cost 5 inf + 226799
373.627 * * [simplify]: Extracting #8: cost 0 inf + 228291
373.703 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))
373.703 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))))
373.704 * * * * [progress]: [ 467 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
373.704 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
373.705 * * [simplify]: iters left: 6 (53 enodes)
373.719 * * [simplify]: iters left: 5 (264 enodes)
373.800 * * [simplify]: Extracting #0: cost 1 inf + 0
373.800 * * [simplify]: Extracting #1: cost 3 inf + 0
373.800 * * [simplify]: Extracting #2: cost 6 inf + 0
373.800 * * [simplify]: Extracting #3: cost 60 inf + 0
373.801 * * [simplify]: Extracting #4: cost 153 inf + 0
373.801 * * [simplify]: Extracting #5: cost 222 inf + 127
373.803 * * [simplify]: Extracting #6: cost 274 inf + 5499
373.805 * * [simplify]: Extracting #7: cost 246 inf + 12623
373.809 * * [simplify]: Extracting #8: cost 179 inf + 24984
373.818 * * [simplify]: Extracting #9: cost 107 inf + 54004
373.843 * * [simplify]: Extracting #10: cost 51 inf + 79734
373.869 * * [simplify]: Extracting #11: cost 6 inf + 127337
373.901 * * [simplify]: Extracting #12: cost 0 inf + 136087
373.945 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
373.945 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
373.946 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
373.947 * * [simplify]: iters left: 6 (26 enodes)
373.959 * * [simplify]: iters left: 5 (121 enodes)
374.009 * * [simplify]: iters left: 4 (376 enodes)
374.270 * * [simplify]: Extracting #0: cost 1 inf + 0
374.271 * * [simplify]: Extracting #1: cost 3 inf + 0
374.271 * * [simplify]: Extracting #2: cost 70 inf + 0
374.272 * * [simplify]: Extracting #3: cost 325 inf + 0
374.276 * * [simplify]: Extracting #4: cost 445 inf + 978
374.283 * * [simplify]: Extracting #5: cost 458 inf + 12715
374.319 * * [simplify]: Extracting #6: cost 260 inf + 91255
374.381 * * [simplify]: Extracting #7: cost 8 inf + 210309
374.444 * * [simplify]: Extracting #8: cost 0 inf + 212918
374.512 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))))
374.512 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)))))))
374.514 * * * * [progress]: [ 468 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
374.514 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
374.515 * * [simplify]: iters left: 6 (53 enodes)
374.543 * * [simplify]: iters left: 5 (264 enodes)
374.624 * * [simplify]: Extracting #0: cost 1 inf + 0
374.624 * * [simplify]: Extracting #1: cost 3 inf + 0
374.624 * * [simplify]: Extracting #2: cost 6 inf + 0
374.625 * * [simplify]: Extracting #3: cost 62 inf + 0
374.625 * * [simplify]: Extracting #4: cost 151 inf + 0
374.626 * * [simplify]: Extracting #5: cost 220 inf + 44
374.627 * * [simplify]: Extracting #6: cost 281 inf + 4118
374.630 * * [simplify]: Extracting #7: cost 240 inf + 14008
374.635 * * [simplify]: Extracting #8: cost 166 inf + 29485
374.650 * * [simplify]: Extracting #9: cost 71 inf + 65589
374.697 * * [simplify]: Extracting #10: cost 8 inf + 123199
374.727 * * [simplify]: Extracting #11: cost 0 inf + 133679
374.779 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
374.779 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
374.780 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
374.781 * * [simplify]: iters left: 6 (26 enodes)
374.793 * * [simplify]: iters left: 5 (121 enodes)
374.844 * * [simplify]: iters left: 4 (374 enodes)
375.032 * * [simplify]: Extracting #0: cost 1 inf + 0
375.032 * * [simplify]: Extracting #1: cost 3 inf + 0
375.032 * * [simplify]: Extracting #2: cost 62 inf + 0
375.033 * * [simplify]: Extracting #3: cost 304 inf + 0
375.034 * * [simplify]: Extracting #4: cost 414 inf + 126
375.037 * * [simplify]: Extracting #5: cost 427 inf + 8931
375.055 * * [simplify]: Extracting #6: cost 232 inf + 85600
375.120 * * [simplify]: Extracting #7: cost 9 inf + 187108
375.198 * * [simplify]: Extracting #8: cost 0 inf + 190938
375.287 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
375.287 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
375.288 * * * * [progress]: [ 469 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
375.289 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
375.290 * * [simplify]: iters left: 6 (47 enodes)
375.314 * * [simplify]: iters left: 5 (228 enodes)
375.383 * * [simplify]: Extracting #0: cost 1 inf + 0
375.383 * * [simplify]: Extracting #1: cost 3 inf + 0
375.383 * * [simplify]: Extracting #2: cost 6 inf + 0
375.383 * * [simplify]: Extracting #3: cost 54 inf + 0
375.383 * * [simplify]: Extracting #4: cost 119 inf + 0
375.384 * * [simplify]: Extracting #5: cost 168 inf + 44
375.386 * * [simplify]: Extracting #6: cost 248 inf + 1194
375.387 * * [simplify]: Extracting #7: cost 216 inf + 6686
375.392 * * [simplify]: Extracting #8: cost 132 inf + 29774
375.402 * * [simplify]: Extracting #9: cost 68 inf + 55233
375.419 * * [simplify]: Extracting #10: cost 11 inf + 96870
375.458 * * [simplify]: Extracting #11: cost 1 inf + 107193
375.500 * * [simplify]: Extracting #12: cost 0 inf + 109018
375.532 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))))))
375.532 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
375.533 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))
375.533 * * [simplify]: iters left: 6 (21 enodes)
375.538 * * [simplify]: iters left: 5 (99 enodes)
375.564 * * [simplify]: iters left: 4 (304 enodes)
375.738 * * [simplify]: Extracting #0: cost 1 inf + 0
375.738 * * [simplify]: Extracting #1: cost 3 inf + 0
375.738 * * [simplify]: Extracting #2: cost 35 inf + 0
375.739 * * [simplify]: Extracting #3: cost 154 inf + 0
375.740 * * [simplify]: Extracting #4: cost 236 inf + 85
375.744 * * [simplify]: Extracting #5: cost 291 inf + 1965
375.750 * * [simplify]: Extracting #6: cost 214 inf + 15903
375.773 * * [simplify]: Extracting #7: cost 74 inf + 58979
375.801 * * [simplify]: Extracting #8: cost 9 inf + 91560
375.830 * * [simplify]: Extracting #9: cost 0 inf + 96793
375.856 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
375.856 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
375.857 * * * * [progress]: [ 470 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
375.857 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
375.858 * * [simplify]: iters left: 6 (52 enodes)
375.877 * * [simplify]: iters left: 5 (256 enodes)
375.961 * * [simplify]: Extracting #0: cost 1 inf + 0
375.961 * * [simplify]: Extracting #1: cost 3 inf + 0
375.962 * * [simplify]: Extracting #2: cost 10 inf + 0
375.962 * * [simplify]: Extracting #3: cost 74 inf + 0
375.962 * * [simplify]: Extracting #4: cost 136 inf + 42
375.963 * * [simplify]: Extracting #5: cost 189 inf + 248
375.965 * * [simplify]: Extracting #6: cost 262 inf + 3340
375.969 * * [simplify]: Extracting #7: cost 226 inf + 12514
375.975 * * [simplify]: Extracting #8: cost 170 inf + 23496
375.982 * * [simplify]: Extracting #9: cost 110 inf + 44855
376.003 * * [simplify]: Extracting #10: cost 12 inf + 114611
376.042 * * [simplify]: Extracting #11: cost 1 inf + 124804
376.069 * * [simplify]: Extracting #12: cost 0 inf + 126869
376.118 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))))))))
376.118 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
376.119 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
376.120 * * [simplify]: iters left: 6 (24 enodes)
376.130 * * [simplify]: iters left: 5 (112 enodes)
376.175 * * [simplify]: iters left: 4 (321 enodes)
376.321 * * [simplify]: Extracting #0: cost 1 inf + 0
376.321 * * [simplify]: Extracting #1: cost 3 inf + 0
376.321 * * [simplify]: Extracting #2: cost 33 inf + 0
376.322 * * [simplify]: Extracting #3: cost 143 inf + 0
376.323 * * [simplify]: Extracting #4: cost 244 inf + 332
376.326 * * [simplify]: Extracting #5: cost 305 inf + 1194
376.337 * * [simplify]: Extracting #6: cost 214 inf + 28516
376.370 * * [simplify]: Extracting #7: cost 21 inf + 98835
376.410 * * [simplify]: Extracting #8: cost 0 inf + 109421
376.459 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))
376.459 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))))
376.460 * * * * [progress]: [ 471 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
376.460 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
376.460 * * [simplify]: iters left: 6 (47 enodes)
376.474 * * [simplify]: iters left: 5 (228 enodes)
376.535 * * [simplify]: Extracting #0: cost 1 inf + 0
376.535 * * [simplify]: Extracting #1: cost 3 inf + 0
376.535 * * [simplify]: Extracting #2: cost 10 inf + 0
376.535 * * [simplify]: Extracting #3: cost 66 inf + 0
376.536 * * [simplify]: Extracting #4: cost 117 inf + 44
376.536 * * [simplify]: Extracting #5: cost 150 inf + 1592
376.537 * * [simplify]: Extracting #6: cost 235 inf + 2974
376.538 * * [simplify]: Extracting #7: cost 230 inf + 4653
376.541 * * [simplify]: Extracting #8: cost 176 inf + 13724
376.546 * * [simplify]: Extracting #9: cost 105 inf + 37175
376.557 * * [simplify]: Extracting #10: cost 44 inf + 63765
376.583 * * [simplify]: Extracting #11: cost 11 inf + 92713
376.604 * * [simplify]: Extracting #12: cost 1 inf + 103403
376.628 * * [simplify]: Extracting #13: cost 0 inf + 105188
376.649 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2))))))))
376.649 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
376.650 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))
376.650 * * [simplify]: iters left: 6 (20 enodes)
376.660 * * [simplify]: iters left: 5 (94 enodes)
376.680 * * [simplify]: iters left: 4 (264 enodes)
376.802 * * [simplify]: Extracting #0: cost 1 inf + 0
376.802 * * [simplify]: Extracting #1: cost 3 inf + 0
376.802 * * [simplify]: Extracting #2: cost 23 inf + 0
376.803 * * [simplify]: Extracting #3: cost 69 inf + 0
376.803 * * [simplify]: Extracting #4: cost 136 inf + 2
376.805 * * [simplify]: Extracting #5: cost 206 inf + 88
376.810 * * [simplify]: Extracting #6: cost 137 inf + 13807
376.834 * * [simplify]: Extracting #7: cost 13 inf + 49822
376.868 * * [simplify]: Extracting #8: cost 0 inf + 54976
376.896 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))
376.897 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))))))))
376.897 * * * * [progress]: [ 472 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
376.898 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
376.899 * * [simplify]: iters left: 6 (52 enodes)
376.927 * * [simplify]: iters left: 5 (256 enodes)
377.043 * * [simplify]: Extracting #0: cost 1 inf + 0
377.043 * * [simplify]: Extracting #1: cost 3 inf + 0
377.043 * * [simplify]: Extracting #2: cost 10 inf + 0
377.044 * * [simplify]: Extracting #3: cost 74 inf + 0
377.044 * * [simplify]: Extracting #4: cost 136 inf + 42
377.045 * * [simplify]: Extracting #5: cost 189 inf + 248
377.047 * * [simplify]: Extracting #6: cost 269 inf + 1767
377.051 * * [simplify]: Extracting #7: cost 231 inf + 11414
377.057 * * [simplify]: Extracting #8: cost 172 inf + 22389
377.070 * * [simplify]: Extracting #9: cost 112 inf + 43746
377.110 * * [simplify]: Extracting #10: cost 11 inf + 117476
377.146 * * [simplify]: Extracting #11: cost 0 inf + 127829
377.191 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))))))))
377.191 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
377.193 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
377.193 * * [simplify]: iters left: 6 (24 enodes)
377.205 * * [simplify]: iters left: 5 (112 enodes)
377.235 * * [simplify]: iters left: 4 (321 enodes)
377.382 * * [simplify]: Extracting #0: cost 1 inf + 0
377.382 * * [simplify]: Extracting #1: cost 3 inf + 0
377.382 * * [simplify]: Extracting #2: cost 33 inf + 0
377.383 * * [simplify]: Extracting #3: cost 143 inf + 0
377.385 * * [simplify]: Extracting #4: cost 244 inf + 332
377.387 * * [simplify]: Extracting #5: cost 305 inf + 1194
377.394 * * [simplify]: Extracting #6: cost 214 inf + 28516
377.417 * * [simplify]: Extracting #7: cost 21 inf + 98835
377.453 * * [simplify]: Extracting #8: cost 0 inf + 109421
377.489 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))
377.489 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))))
377.489 * * * * [progress]: [ 473 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
377.490 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
377.490 * * [simplify]: iters left: 6 (47 enodes)
377.503 * * [simplify]: iters left: 5 (228 enodes)
377.591 * * [simplify]: Extracting #0: cost 1 inf + 0
377.591 * * [simplify]: Extracting #1: cost 3 inf + 0
377.591 * * [simplify]: Extracting #2: cost 10 inf + 0
377.591 * * [simplify]: Extracting #3: cost 65 inf + 0
377.591 * * [simplify]: Extracting #4: cost 116 inf + 86
377.592 * * [simplify]: Extracting #5: cost 148 inf + 1836
377.594 * * [simplify]: Extracting #6: cost 235 inf + 2934
377.595 * * [simplify]: Extracting #7: cost 231 inf + 4611
377.598 * * [simplify]: Extracting #8: cost 172 inf + 15136
377.604 * * [simplify]: Extracting #9: cost 103 inf + 38514
377.615 * * [simplify]: Extracting #10: cost 42 inf + 65317
377.642 * * [simplify]: Extracting #11: cost 5 inf + 98503
377.667 * * [simplify]: Extracting #12: cost 1 inf + 103803
377.695 * * [simplify]: Extracting #13: cost 0 inf + 105588
377.725 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))
377.725 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
377.726 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))
377.726 * * [simplify]: iters left: 6 (20 enodes)
377.731 * * [simplify]: iters left: 5 (94 enodes)
377.760 * * [simplify]: iters left: 4 (264 enodes)
377.872 * * [simplify]: Extracting #0: cost 1 inf + 0
377.872 * * [simplify]: Extracting #1: cost 3 inf + 0
377.872 * * [simplify]: Extracting #2: cost 23 inf + 0
377.872 * * [simplify]: Extracting #3: cost 69 inf + 0
377.873 * * [simplify]: Extracting #4: cost 136 inf + 2
377.873 * * [simplify]: Extracting #5: cost 206 inf + 88
377.877 * * [simplify]: Extracting #6: cost 137 inf + 13807
377.889 * * [simplify]: Extracting #7: cost 13 inf + 49822
377.915 * * [simplify]: Extracting #8: cost 0 inf + 54976
377.929 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))
377.929 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))))))))
377.930 * * * * [progress]: [ 474 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
377.930 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
377.931 * * [simplify]: iters left: 6 (52 enodes)
377.947 * * [simplify]: iters left: 5 (254 enodes)
378.024 * * [simplify]: Extracting #0: cost 1 inf + 0
378.024 * * [simplify]: Extracting #1: cost 3 inf + 0
378.024 * * [simplify]: Extracting #2: cost 6 inf + 0
378.024 * * [simplify]: Extracting #3: cost 56 inf + 0
378.025 * * [simplify]: Extracting #4: cost 130 inf + 0
378.025 * * [simplify]: Extracting #5: cost 212 inf + 0
378.026 * * [simplify]: Extracting #6: cost 296 inf + 971
378.028 * * [simplify]: Extracting #7: cost 238 inf + 12662
378.032 * * [simplify]: Extracting #8: cost 166 inf + 27389
378.040 * * [simplify]: Extracting #9: cost 107 inf + 47297
378.059 * * [simplify]: Extracting #10: cost 49 inf + 76576
378.100 * * [simplify]: Extracting #11: cost 14 inf + 114708
378.146 * * [simplify]: Extracting #12: cost 1 inf + 130393
378.180 * * [simplify]: Extracting #13: cost 0 inf + 132458
378.232 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))
378.232 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
378.234 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
378.234 * * [simplify]: iters left: 6 (25 enodes)
378.246 * * [simplify]: iters left: 5 (117 enodes)
378.297 * * [simplify]: iters left: 4 (377 enodes)
378.543 * * [simplify]: Extracting #0: cost 1 inf + 0
378.543 * * [simplify]: Extracting #1: cost 3 inf + 0
378.544 * * [simplify]: Extracting #2: cost 46 inf + 0
378.545 * * [simplify]: Extracting #3: cost 320 inf + 0
378.548 * * [simplify]: Extracting #4: cost 506 inf + 207
378.556 * * [simplify]: Extracting #5: cost 525 inf + 12552
378.604 * * [simplify]: Extracting #6: cost 249 inf + 117912
378.715 * * [simplify]: Extracting #7: cost 4 inf + 237060
378.803 * * [simplify]: Extracting #8: cost 0 inf + 237950
378.912 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))
378.912 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))))
378.913 * * * * [progress]: [ 475 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
378.914 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
378.914 * * [simplify]: iters left: 6 (53 enodes)
378.942 * * [simplify]: iters left: 5 (263 enodes)
379.027 * * [simplify]: Extracting #0: cost 1 inf + 0
379.027 * * [simplify]: Extracting #1: cost 3 inf + 0
379.027 * * [simplify]: Extracting #2: cost 6 inf + 0
379.027 * * [simplify]: Extracting #3: cost 60 inf + 0
379.028 * * [simplify]: Extracting #4: cost 153 inf + 0
379.029 * * [simplify]: Extracting #5: cost 226 inf + 44
379.032 * * [simplify]: Extracting #6: cost 273 inf + 4770
379.037 * * [simplify]: Extracting #7: cost 240 inf + 12241
379.045 * * [simplify]: Extracting #8: cost 180 inf + 24843
379.061 * * [simplify]: Extracting #9: cost 106 inf + 51179
379.078 * * [simplify]: Extracting #10: cost 53 inf + 78194
379.109 * * [simplify]: Extracting #11: cost 10 inf + 123585
379.162 * * [simplify]: Extracting #12: cost 0 inf + 135555
379.206 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
379.206 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
379.207 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
379.207 * * [simplify]: iters left: 6 (26 enodes)
379.213 * * [simplify]: iters left: 5 (121 enodes)
379.250 * * [simplify]: iters left: 4 (374 enodes)
379.458 * * [simplify]: Extracting #0: cost 1 inf + 0
379.458 * * [simplify]: Extracting #1: cost 3 inf + 0
379.458 * * [simplify]: Extracting #2: cost 68 inf + 0
379.459 * * [simplify]: Extracting #3: cost 321 inf + 0
379.463 * * [simplify]: Extracting #4: cost 434 inf + 290
379.469 * * [simplify]: Extracting #5: cost 454 inf + 11555
379.503 * * [simplify]: Extracting #6: cost 219 inf + 104861
379.555 * * [simplify]: Extracting #7: cost 7 inf + 204757
379.634 * * [simplify]: Extracting #8: cost 0 inf + 208421
379.698 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1))))
379.698 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)))))))
379.699 * * * * [progress]: [ 476 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
379.699 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
379.699 * * [simplify]: iters left: 6 (53 enodes)
379.716 * * [simplify]: iters left: 5 (263 enodes)
379.798 * * [simplify]: Extracting #0: cost 1 inf + 0
379.798 * * [simplify]: Extracting #1: cost 3 inf + 0
379.798 * * [simplify]: Extracting #2: cost 6 inf + 0
379.798 * * [simplify]: Extracting #3: cost 62 inf + 0
379.799 * * [simplify]: Extracting #4: cost 151 inf + 0
379.800 * * [simplify]: Extracting #5: cost 222 inf + 44
379.803 * * [simplify]: Extracting #6: cost 269 inf + 4889
379.808 * * [simplify]: Extracting #7: cost 232 inf + 14689
379.818 * * [simplify]: Extracting #8: cost 169 inf + 26960
379.838 * * [simplify]: Extracting #9: cost 95 inf + 57076
379.864 * * [simplify]: Extracting #10: cost 40 inf + 87227
379.906 * * [simplify]: Extracting #11: cost 5 inf + 125502
379.935 * * [simplify]: Extracting #12: cost 0 inf + 133307
379.969 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
379.969 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
379.969 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
379.970 * * [simplify]: iters left: 6 (26 enodes)
379.977 * * [simplify]: iters left: 5 (121 enodes)
380.012 * * [simplify]: iters left: 4 (372 enodes)
380.208 * * [simplify]: Extracting #0: cost 1 inf + 0
380.208 * * [simplify]: Extracting #1: cost 3 inf + 0
380.208 * * [simplify]: Extracting #2: cost 62 inf + 0
380.209 * * [simplify]: Extracting #3: cost 297 inf + 0
380.212 * * [simplify]: Extracting #4: cost 396 inf + 694
380.218 * * [simplify]: Extracting #5: cost 423 inf + 8915
380.249 * * [simplify]: Extracting #6: cost 216 inf + 85576
380.301 * * [simplify]: Extracting #7: cost 9 inf + 180685
380.378 * * [simplify]: Extracting #8: cost 0 inf + 186277
380.455 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
380.455 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
380.456 * * * * [progress]: [ 477 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
380.456 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
380.457 * * [simplify]: iters left: 6 (47 enodes)
380.478 * * [simplify]: iters left: 5 (227 enodes)
380.584 * * [simplify]: Extracting #0: cost 1 inf + 0
380.585 * * [simplify]: Extracting #1: cost 3 inf + 0
380.585 * * [simplify]: Extracting #2: cost 6 inf + 0
380.585 * * [simplify]: Extracting #3: cost 54 inf + 0
380.585 * * [simplify]: Extracting #4: cost 119 inf + 0
380.586 * * [simplify]: Extracting #5: cost 170 inf + 44
380.588 * * [simplify]: Extracting #6: cost 241 inf + 1277
380.591 * * [simplify]: Extracting #7: cost 211 inf + 6721
380.598 * * [simplify]: Extracting #8: cost 147 inf + 23145
380.612 * * [simplify]: Extracting #9: cost 97 inf + 43110
380.633 * * [simplify]: Extracting #10: cost 45 inf + 64494
380.665 * * [simplify]: Extracting #11: cost 11 inf + 95931
380.707 * * [simplify]: Extracting #12: cost 1 inf + 108741
380.750 * * [simplify]: Extracting #13: cost 0 inf + 110646
380.773 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))))))
380.773 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
380.774 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))
380.774 * * [simplify]: iters left: 6 (21 enodes)
380.779 * * [simplify]: iters left: 5 (99 enodes)
380.812 * * [simplify]: iters left: 4 (302 enodes)
380.951 * * [simplify]: Extracting #0: cost 1 inf + 0
380.951 * * [simplify]: Extracting #1: cost 3 inf + 0
380.951 * * [simplify]: Extracting #2: cost 35 inf + 0
380.952 * * [simplify]: Extracting #3: cost 158 inf + 0
380.952 * * [simplify]: Extracting #4: cost 230 inf + 43
380.954 * * [simplify]: Extracting #5: cost 299 inf + 1071
380.960 * * [simplify]: Extracting #6: cost 177 inf + 31418
381.001 * * [simplify]: Extracting #7: cost 9 inf + 91574
381.051 * * [simplify]: Extracting #8: cost 0 inf + 96443
381.088 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (+ phi1 phi2))))
381.088 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
381.088 * * * * [progress]: [ 478 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
381.089 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
381.089 * * [simplify]: iters left: 6 (52 enodes)
381.102 * * [simplify]: iters left: 5 (255 enodes)
381.188 * * [simplify]: Extracting #0: cost 1 inf + 0
381.188 * * [simplify]: Extracting #1: cost 3 inf + 0
381.188 * * [simplify]: Extracting #2: cost 10 inf + 0
381.188 * * [simplify]: Extracting #3: cost 74 inf + 0
381.189 * * [simplify]: Extracting #4: cost 137 inf + 1
381.189 * * [simplify]: Extracting #5: cost 191 inf + 248
381.190 * * [simplify]: Extracting #6: cost 257 inf + 3179
381.192 * * [simplify]: Extracting #7: cost 232 inf + 8895
381.196 * * [simplify]: Extracting #8: cost 170 inf + 21454
381.202 * * [simplify]: Extracting #9: cost 116 inf + 39563
381.215 * * [simplify]: Extracting #10: cost 59 inf + 65975
381.239 * * [simplify]: Extracting #11: cost 5 inf + 120052
381.266 * * [simplify]: Extracting #12: cost 0 inf + 127057
381.294 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))))
381.294 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
381.295 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
381.295 * * [simplify]: iters left: 6 (24 enodes)
381.301 * * [simplify]: iters left: 5 (112 enodes)
381.322 * * [simplify]: iters left: 4 (319 enodes)
381.477 * * [simplify]: Extracting #0: cost 1 inf + 0
381.477 * * [simplify]: Extracting #1: cost 3 inf + 0
381.477 * * [simplify]: Extracting #2: cost 33 inf + 0
381.478 * * [simplify]: Extracting #3: cost 142 inf + 0
381.480 * * [simplify]: Extracting #4: cost 235 inf + 248
381.483 * * [simplify]: Extracting #5: cost 292 inf + 3146
381.496 * * [simplify]: Extracting #6: cost 193 inf + 33253
381.531 * * [simplify]: Extracting #7: cost 16 inf + 98357
381.558 * * [simplify]: Extracting #8: cost 0 inf + 107171
381.590 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2)))))
381.590 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))))))))
381.591 * * * * [progress]: [ 479 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
381.592 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
381.593 * * [simplify]: iters left: 6 (47 enodes)
381.618 * * [simplify]: iters left: 5 (227 enodes)
381.681 * * [simplify]: Extracting #0: cost 1 inf + 0
381.681 * * [simplify]: Extracting #1: cost 3 inf + 0
381.681 * * [simplify]: Extracting #2: cost 10 inf + 0
381.681 * * [simplify]: Extracting #3: cost 66 inf + 0
381.681 * * [simplify]: Extracting #4: cost 117 inf + 44
381.682 * * [simplify]: Extracting #5: cost 152 inf + 1512
381.688 * * [simplify]: Extracting #6: cost 229 inf + 2934
381.691 * * [simplify]: Extracting #7: cost 226 inf + 4606
381.698 * * [simplify]: Extracting #8: cost 146 inf + 22404
381.714 * * [simplify]: Extracting #9: cost 57 inf + 60718
381.730 * * [simplify]: Extracting #10: cost 15 inf + 90229
381.758 * * [simplify]: Extracting #11: cost 1 inf + 102791
381.798 * * [simplify]: Extracting #12: cost 0 inf + 104576
381.839 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))))
381.839 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
381.840 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
381.840 * * [simplify]: iters left: 6 (20 enodes)
381.851 * * [simplify]: iters left: 5 (94 enodes)
381.886 * * [simplify]: iters left: 4 (262 enodes)
382.007 * * [simplify]: Extracting #0: cost 1 inf + 0
382.007 * * [simplify]: Extracting #1: cost 3 inf + 0
382.008 * * [simplify]: Extracting #2: cost 23 inf + 0
382.008 * * [simplify]: Extracting #3: cost 69 inf + 0
382.009 * * [simplify]: Extracting #4: cost 126 inf + 2
382.010 * * [simplify]: Extracting #5: cost 202 inf + 88
382.016 * * [simplify]: Extracting #6: cost 129 inf + 15176
382.037 * * [simplify]: Extracting #7: cost 11 inf + 48015
382.059 * * [simplify]: Extracting #8: cost 0 inf + 52967
382.073 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))
382.073 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))))))))
382.074 * * * * [progress]: [ 480 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
382.074 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
382.075 * * [simplify]: iters left: 6 (52 enodes)
382.096 * * [simplify]: iters left: 5 (255 enodes)
382.163 * * [simplify]: Extracting #0: cost 1 inf + 0
382.164 * * [simplify]: Extracting #1: cost 3 inf + 0
382.164 * * [simplify]: Extracting #2: cost 10 inf + 0
382.164 * * [simplify]: Extracting #3: cost 74 inf + 0
382.164 * * [simplify]: Extracting #4: cost 137 inf + 1
382.165 * * [simplify]: Extracting #5: cost 191 inf + 248
382.166 * * [simplify]: Extracting #6: cost 262 inf + 1969
382.181 * * [simplify]: Extracting #7: cost 239 inf + 7963
382.189 * * [simplify]: Extracting #8: cost 169 inf + 22476
382.201 * * [simplify]: Extracting #9: cost 116 inf + 39803
382.222 * * [simplify]: Extracting #10: cost 59 inf + 66855
382.263 * * [simplify]: Extracting #11: cost 5 inf + 121172
382.313 * * [simplify]: Extracting #12: cost 0 inf + 128177
382.347 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))))
382.347 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
382.348 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
382.348 * * [simplify]: iters left: 6 (24 enodes)
382.356 * * [simplify]: iters left: 5 (112 enodes)
382.400 * * [simplify]: iters left: 4 (319 enodes)
382.529 * * [simplify]: Extracting #0: cost 1 inf + 0
382.529 * * [simplify]: Extracting #1: cost 3 inf + 0
382.529 * * [simplify]: Extracting #2: cost 33 inf + 0
382.530 * * [simplify]: Extracting #3: cost 142 inf + 0
382.535 * * [simplify]: Extracting #4: cost 235 inf + 248
382.537 * * [simplify]: Extracting #5: cost 292 inf + 3146
382.547 * * [simplify]: Extracting #6: cost 193 inf + 33253
382.592 * * [simplify]: Extracting #7: cost 16 inf + 98357
382.645 * * [simplify]: Extracting #8: cost 0 inf + 107171
382.700 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2)))))
382.700 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))))))))
382.701 * * * * [progress]: [ 481 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
382.701 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
382.702 * * [simplify]: iters left: 6 (47 enodes)
382.727 * * [simplify]: iters left: 5 (227 enodes)
382.788 * * [simplify]: Extracting #0: cost 1 inf + 0
382.788 * * [simplify]: Extracting #1: cost 3 inf + 0
382.788 * * [simplify]: Extracting #2: cost 10 inf + 0
382.789 * * [simplify]: Extracting #3: cost 65 inf + 0
382.789 * * [simplify]: Extracting #4: cost 117 inf + 44
382.790 * * [simplify]: Extracting #5: cost 160 inf + 537
382.792 * * [simplify]: Extracting #6: cost 228 inf + 2976
382.795 * * [simplify]: Extracting #7: cost 226 inf + 4568
382.801 * * [simplify]: Extracting #8: cost 146 inf + 22363
382.822 * * [simplify]: Extracting #9: cost 57 inf + 60878
382.838 * * [simplify]: Extracting #10: cost 13 inf + 91053
382.873 * * [simplify]: Extracting #11: cost 1 inf + 103191
382.902 * * [simplify]: Extracting #12: cost 0 inf + 104976
382.924 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))))
382.924 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
382.925 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
382.925 * * [simplify]: iters left: 6 (20 enodes)
382.933 * * [simplify]: iters left: 5 (94 enodes)
382.969 * * [simplify]: iters left: 4 (262 enodes)
383.058 * * [simplify]: Extracting #0: cost 1 inf + 0
383.058 * * [simplify]: Extracting #1: cost 3 inf + 0
383.059 * * [simplify]: Extracting #2: cost 23 inf + 0
383.059 * * [simplify]: Extracting #3: cost 69 inf + 0
383.060 * * [simplify]: Extracting #4: cost 126 inf + 2
383.061 * * [simplify]: Extracting #5: cost 202 inf + 88
383.066 * * [simplify]: Extracting #6: cost 129 inf + 15176
383.088 * * [simplify]: Extracting #7: cost 11 inf + 48015
383.113 * * [simplify]: Extracting #8: cost 0 inf + 52967
383.126 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))
383.126 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))))))))
383.127 * * * * [progress]: [ 482 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
383.127 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
383.128 * * [simplify]: iters left: 6 (52 enodes)
383.146 * * [simplify]: iters left: 5 (255 enodes)
383.240 * * [simplify]: Extracting #0: cost 1 inf + 0
383.240 * * [simplify]: Extracting #1: cost 3 inf + 0
383.240 * * [simplify]: Extracting #2: cost 6 inf + 0
383.240 * * [simplify]: Extracting #3: cost 56 inf + 0
383.240 * * [simplify]: Extracting #4: cost 130 inf + 0
383.241 * * [simplify]: Extracting #5: cost 207 inf + 0
383.242 * * [simplify]: Extracting #6: cost 287 inf + 1167
383.244 * * [simplify]: Extracting #7: cost 224 inf + 13987
383.254 * * [simplify]: Extracting #8: cost 139 inf + 38476
383.276 * * [simplify]: Extracting #9: cost 98 inf + 53655
383.302 * * [simplify]: Extracting #10: cost 46 inf + 75477
383.339 * * [simplify]: Extracting #11: cost 10 inf + 111175
383.387 * * [simplify]: Extracting #12: cost 0 inf + 124265
383.416 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))))
383.416 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
383.417 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
383.417 * * [simplify]: iters left: 6 (25 enodes)
383.423 * * [simplify]: iters left: 5 (116 enodes)
383.466 * * [simplify]: iters left: 4 (344 enodes)
383.700 * * [simplify]: Extracting #0: cost 1 inf + 0
383.700 * * [simplify]: Extracting #1: cost 3 inf + 0
383.700 * * [simplify]: Extracting #2: cost 44 inf + 0
383.701 * * [simplify]: Extracting #3: cost 313 inf + 0
383.705 * * [simplify]: Extracting #4: cost 496 inf + 1420
383.719 * * [simplify]: Extracting #5: cost 460 inf + 38666
383.759 * * [simplify]: Extracting #6: cost 137 inf + 159069
383.828 * * [simplify]: Extracting #7: cost 8 inf + 228779
383.896 * * [simplify]: Extracting #8: cost 0 inf + 234007
383.976 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))
383.976 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))))
383.977 * * * * [progress]: [ 483 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
383.977 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
383.977 * * [simplify]: iters left: 6 (53 enodes)
383.993 * * [simplify]: iters left: 5 (264 enodes)
384.052 * * [simplify]: Extracting #0: cost 1 inf + 0
384.052 * * [simplify]: Extracting #1: cost 3 inf + 0
384.052 * * [simplify]: Extracting #2: cost 6 inf + 0
384.052 * * [simplify]: Extracting #3: cost 60 inf + 0
384.052 * * [simplify]: Extracting #4: cost 153 inf + 0
384.053 * * [simplify]: Extracting #5: cost 221 inf + 44
384.054 * * [simplify]: Extracting #6: cost 259 inf + 5747
384.057 * * [simplify]: Extracting #7: cost 216 inf + 15946
384.067 * * [simplify]: Extracting #8: cost 143 inf + 38988
384.077 * * [simplify]: Extracting #9: cost 94 inf + 59288
384.092 * * [simplify]: Extracting #10: cost 44 inf + 79622
384.117 * * [simplify]: Extracting #11: cost 6 inf + 119172
384.160 * * [simplify]: Extracting #12: cost 0 inf + 128242
384.209 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
384.209 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
384.210 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
384.210 * * [simplify]: iters left: 6 (26 enodes)
384.216 * * [simplify]: iters left: 5 (120 enodes)
384.242 * * [simplify]: iters left: 4 (341 enodes)
384.478 * * [simplify]: Extracting #0: cost 1 inf + 0
384.478 * * [simplify]: Extracting #1: cost 3 inf + 0
384.478 * * [simplify]: Extracting #2: cost 68 inf + 0
384.479 * * [simplify]: Extracting #3: cost 320 inf + 0
384.482 * * [simplify]: Extracting #4: cost 438 inf + 290
384.492 * * [simplify]: Extracting #5: cost 456 inf + 24614
384.534 * * [simplify]: Extracting #6: cost 109 inf + 156497
384.586 * * [simplify]: Extracting #7: cost 1 inf + 205638
384.652 * * [simplify]: Extracting #8: cost 0 inf + 206282
384.716 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))))
384.716 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))))))
384.717 * * * * [progress]: [ 484 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
384.717 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
384.718 * * [simplify]: iters left: 6 (53 enodes)
384.739 * * [simplify]: iters left: 5 (264 enodes)
384.804 * * [simplify]: Extracting #0: cost 1 inf + 0
384.805 * * [simplify]: Extracting #1: cost 3 inf + 0
384.805 * * [simplify]: Extracting #2: cost 6 inf + 0
384.805 * * [simplify]: Extracting #3: cost 62 inf + 0
384.805 * * [simplify]: Extracting #4: cost 151 inf + 0
384.806 * * [simplify]: Extracting #5: cost 217 inf + 44
384.809 * * [simplify]: Extracting #6: cost 260 inf + 5216
384.813 * * [simplify]: Extracting #7: cost 207 inf + 18764
384.819 * * [simplify]: Extracting #8: cost 142 inf + 39337
384.832 * * [simplify]: Extracting #9: cost 93 inf + 59445
384.851 * * [simplify]: Extracting #10: cost 46 inf + 77524
384.890 * * [simplify]: Extracting #11: cost 12 inf + 112374
384.918 * * [simplify]: Extracting #12: cost 0 inf + 125914
384.960 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
384.960 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
384.961 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
384.962 * * [simplify]: iters left: 6 (26 enodes)
384.974 * * [simplify]: iters left: 5 (120 enodes)
385.004 * * [simplify]: iters left: 4 (339 enodes)
385.228 * * [simplify]: Extracting #0: cost 1 inf + 0
385.228 * * [simplify]: Extracting #1: cost 3 inf + 0
385.228 * * [simplify]: Extracting #2: cost 62 inf + 0
385.229 * * [simplify]: Extracting #3: cost 309 inf + 0
385.232 * * [simplify]: Extracting #4: cost 414 inf + 248
385.241 * * [simplify]: Extracting #5: cost 433 inf + 20356
385.284 * * [simplify]: Extracting #6: cost 126 inf + 126974
385.357 * * [simplify]: Extracting #7: cost 0 inf + 190862
385.420 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))
385.420 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))))
385.421 * * * * [progress]: [ 485 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
385.421 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
385.421 * * [simplify]: iters left: 6 (47 enodes)
385.434 * * [simplify]: iters left: 5 (228 enodes)
385.493 * * [simplify]: Extracting #0: cost 1 inf + 0
385.493 * * [simplify]: Extracting #1: cost 3 inf + 0
385.494 * * [simplify]: Extracting #2: cost 6 inf + 0
385.494 * * [simplify]: Extracting #3: cost 54 inf + 0
385.494 * * [simplify]: Extracting #4: cost 119 inf + 0
385.495 * * [simplify]: Extracting #5: cost 165 inf + 44
385.497 * * [simplify]: Extracting #6: cost 236 inf + 1316
385.500 * * [simplify]: Extracting #7: cost 214 inf + 5820
385.508 * * [simplify]: Extracting #8: cost 151 inf + 23003
385.522 * * [simplify]: Extracting #9: cost 99 inf + 42853
385.538 * * [simplify]: Extracting #10: cost 33 inf + 69840
385.558 * * [simplify]: Extracting #11: cost 3 inf + 96498
385.590 * * [simplify]: Extracting #12: cost 1 inf + 100108
385.629 * * [simplify]: Extracting #13: cost 0 inf + 101933
385.655 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))))
385.655 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
385.656 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))
385.656 * * [simplify]: iters left: 6 (21 enodes)
385.661 * * [simplify]: iters left: 5 (98 enodes)
385.691 * * [simplify]: iters left: 4 (268 enodes)
385.847 * * [simplify]: Extracting #0: cost 1 inf + 0
385.847 * * [simplify]: Extracting #1: cost 3 inf + 0
385.847 * * [simplify]: Extracting #2: cost 37 inf + 0
385.848 * * [simplify]: Extracting #3: cost 162 inf + 0
385.849 * * [simplify]: Extracting #4: cost 228 inf + 44
385.854 * * [simplify]: Extracting #5: cost 265 inf + 13368
385.888 * * [simplify]: Extracting #6: cost 43 inf + 86615
385.911 * * [simplify]: Extracting #7: cost 0 inf + 95213
385.946 * * [simplify]: Extracting #8: cost 0 inf + 94813
385.980 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))
385.980 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
385.980 * * * * [progress]: [ 486 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
385.981 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
385.981 * * [simplify]: iters left: 6 (52 enodes)
385.995 * * [simplify]: iters left: 5 (256 enodes)
386.078 * * [simplify]: Extracting #0: cost 1 inf + 0
386.079 * * [simplify]: Extracting #1: cost 3 inf + 0
386.079 * * [simplify]: Extracting #2: cost 10 inf + 0
386.079 * * [simplify]: Extracting #3: cost 74 inf + 0
386.079 * * [simplify]: Extracting #4: cost 137 inf + 1
386.079 * * [simplify]: Extracting #5: cost 188 inf + 165
386.081 * * [simplify]: Extracting #6: cost 249 inf + 3304
386.083 * * [simplify]: Extracting #7: cost 203 inf + 14736
386.088 * * [simplify]: Extracting #8: cost 148 inf + 30120
386.096 * * [simplify]: Extracting #9: cost 90 inf + 52562
386.107 * * [simplify]: Extracting #10: cost 54 inf + 65714
386.128 * * [simplify]: Extracting #11: cost 6 inf + 109674
386.163 * * [simplify]: Extracting #12: cost 1 inf + 117239
386.191 * * [simplify]: Extracting #13: cost 0 inf + 119344
386.216 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
386.216 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
386.218 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
386.218 * * [simplify]: iters left: 6 (24 enodes)
386.229 * * [simplify]: iters left: 5 (111 enodes)
386.258 * * [simplify]: iters left: 4 (286 enodes)
386.404 * * [simplify]: Extracting #0: cost 1 inf + 0
386.404 * * [simplify]: Extracting #1: cost 3 inf + 0
386.404 * * [simplify]: Extracting #2: cost 33 inf + 0
386.405 * * [simplify]: Extracting #3: cost 144 inf + 0
386.406 * * [simplify]: Extracting #4: cost 240 inf + 290
386.410 * * [simplify]: Extracting #5: cost 337 inf + 8279
386.436 * * [simplify]: Extracting #6: cost 140 inf + 75982
386.485 * * [simplify]: Extracting #7: cost 0 inf + 119266
386.537 * * [simplify]: Extracting #8: cost 0 inf + 114266
386.586 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))))
386.587 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))))))))
386.588 * * * * [progress]: [ 487 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
386.588 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
386.589 * * [simplify]: iters left: 6 (47 enodes)
386.603 * * [simplify]: iters left: 5 (228 enodes)
386.682 * * [simplify]: Extracting #0: cost 1 inf + 0
386.682 * * [simplify]: Extracting #1: cost 3 inf + 0
386.682 * * [simplify]: Extracting #2: cost 10 inf + 0
386.683 * * [simplify]: Extracting #3: cost 66 inf + 0
386.683 * * [simplify]: Extracting #4: cost 117 inf + 44
386.684 * * [simplify]: Extracting #5: cost 148 inf + 1350
386.686 * * [simplify]: Extracting #6: cost 223 inf + 2976
386.689 * * [simplify]: Extracting #7: cost 210 inf + 5584
386.696 * * [simplify]: Extracting #8: cost 137 inf + 23364
386.713 * * [simplify]: Extracting #9: cost 61 inf + 52238
386.745 * * [simplify]: Extracting #10: cost 6 inf + 93301
386.783 * * [simplify]: Extracting #11: cost 1 inf + 96638
386.825 * * [simplify]: Extracting #12: cost 0 inf + 98463
386.862 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))
386.862 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
386.863 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))
386.864 * * [simplify]: iters left: 6 (20 enodes)
386.873 * * [simplify]: iters left: 5 (93 enodes)
386.909 * * [simplify]: iters left: 4 (229 enodes)
387.021 * * [simplify]: Extracting #0: cost 1 inf + 0
387.021 * * [simplify]: Extracting #1: cost 3 inf + 0
387.021 * * [simplify]: Extracting #2: cost 23 inf + 0
387.022 * * [simplify]: Extracting #3: cost 69 inf + 0
387.022 * * [simplify]: Extracting #4: cost 129 inf + 2
387.024 * * [simplify]: Extracting #5: cost 245 inf + 1869
387.034 * * [simplify]: Extracting #6: cost 106 inf + 33489
387.056 * * [simplify]: Extracting #7: cost 19 inf + 55539
387.081 * * [simplify]: Extracting #8: cost 0 inf + 62434
387.098 * * [simplify]: Extracting #9: cost 0 inf + 62354
387.114 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2)))))
387.114 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))))))))
387.115 * * * * [progress]: [ 488 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
387.115 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
387.116 * * [simplify]: iters left: 6 (52 enodes)
387.134 * * [simplify]: iters left: 5 (256 enodes)
387.232 * * [simplify]: Extracting #0: cost 1 inf + 0
387.232 * * [simplify]: Extracting #1: cost 3 inf + 0
387.232 * * [simplify]: Extracting #2: cost 10 inf + 0
387.232 * * [simplify]: Extracting #3: cost 74 inf + 0
387.233 * * [simplify]: Extracting #4: cost 137 inf + 1
387.233 * * [simplify]: Extracting #5: cost 188 inf + 165
387.235 * * [simplify]: Extracting #6: cost 255 inf + 2093
387.239 * * [simplify]: Extracting #7: cost 214 inf + 10966
387.247 * * [simplify]: Extracting #8: cost 147 inf + 31023
387.262 * * [simplify]: Extracting #9: cost 90 inf + 53202
387.280 * * [simplify]: Extracting #10: cost 54 inf + 66674
387.297 * * [simplify]: Extracting #11: cost 21 inf + 91299
387.325 * * [simplify]: Extracting #12: cost 2 inf + 117014
387.358 * * [simplify]: Extracting #13: cost 0 inf + 120304
387.384 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ lambda2 lambda1)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
387.384 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ lambda2 lambda1)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
387.385 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
387.385 * * [simplify]: iters left: 6 (24 enodes)
387.391 * * [simplify]: iters left: 5 (111 enodes)
387.416 * * [simplify]: iters left: 4 (286 enodes)
387.531 * * [simplify]: Extracting #0: cost 1 inf + 0
387.531 * * [simplify]: Extracting #1: cost 3 inf + 0
387.531 * * [simplify]: Extracting #2: cost 33 inf + 0
387.532 * * [simplify]: Extracting #3: cost 144 inf + 0
387.534 * * [simplify]: Extracting #4: cost 240 inf + 290
387.538 * * [simplify]: Extracting #5: cost 337 inf + 8279
387.553 * * [simplify]: Extracting #6: cost 140 inf + 75982
387.581 * * [simplify]: Extracting #7: cost 0 inf + 119266
387.614 * * [simplify]: Extracting #8: cost 0 inf + 114266
387.645 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))))
387.645 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ lambda2 lambda1)) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))))))))
387.646 * * * * [progress]: [ 489 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
387.647 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
387.647 * * [simplify]: iters left: 6 (47 enodes)
387.663 * * [simplify]: iters left: 5 (228 enodes)
387.718 * * [simplify]: Extracting #0: cost 1 inf + 0
387.718 * * [simplify]: Extracting #1: cost 3 inf + 0
387.718 * * [simplify]: Extracting #2: cost 10 inf + 0
387.718 * * [simplify]: Extracting #3: cost 65 inf + 0
387.718 * * [simplify]: Extracting #4: cost 117 inf + 44
387.719 * * [simplify]: Extracting #5: cost 154 inf + 618
387.720 * * [simplify]: Extracting #6: cost 224 inf + 2814
387.721 * * [simplify]: Extracting #7: cost 208 inf + 6071
387.724 * * [simplify]: Extracting #8: cost 164 inf + 15168
387.730 * * [simplify]: Extracting #9: cost 105 inf + 35608
387.750 * * [simplify]: Extracting #10: cost 39 inf + 62575
387.771 * * [simplify]: Extracting #11: cost 2 inf + 95053
387.791 * * [simplify]: Extracting #12: cost 1 inf + 96878
387.831 * * [simplify]: Extracting #13: cost 0 inf + 98703
387.872 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))
387.872 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
387.873 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))
387.873 * * [simplify]: iters left: 6 (20 enodes)
387.883 * * [simplify]: iters left: 5 (93 enodes)
387.915 * * [simplify]: iters left: 4 (229 enodes)
387.995 * * [simplify]: Extracting #0: cost 1 inf + 0
387.995 * * [simplify]: Extracting #1: cost 3 inf + 0
387.995 * * [simplify]: Extracting #2: cost 23 inf + 0
387.996 * * [simplify]: Extracting #3: cost 69 inf + 0
387.996 * * [simplify]: Extracting #4: cost 129 inf + 2
387.998 * * [simplify]: Extracting #5: cost 245 inf + 1869
388.003 * * [simplify]: Extracting #6: cost 106 inf + 33489
388.015 * * [simplify]: Extracting #7: cost 19 inf + 55539
388.030 * * [simplify]: Extracting #8: cost 0 inf + 62434
388.054 * * [simplify]: Extracting #9: cost 0 inf + 62354
388.086 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2)))))
388.087 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))))))))
388.087 * * * * [progress]: [ 490 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
388.088 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
388.089 * * [simplify]: iters left: 6 (51 enodes)
388.115 * * [simplify]: iters left: 5 (244 enodes)
388.218 * * [simplify]: Extracting #0: cost 1 inf + 0
388.218 * * [simplify]: Extracting #1: cost 3 inf + 0
388.218 * * [simplify]: Extracting #2: cost 6 inf + 0
388.218 * * [simplify]: Extracting #3: cost 56 inf + 0
388.218 * * [simplify]: Extracting #4: cost 130 inf + 0
388.219 * * [simplify]: Extracting #5: cost 207 inf + 0
388.219 * * [simplify]: Extracting #6: cost 276 inf + 1266
388.222 * * [simplify]: Extracting #7: cost 202 inf + 15041
388.228 * * [simplify]: Extracting #8: cost 115 inf + 44319
388.239 * * [simplify]: Extracting #9: cost 55 inf + 66258
388.252 * * [simplify]: Extracting #10: cost 37 inf + 79148
388.283 * * [simplify]: Extracting #11: cost 5 inf + 117508
388.331 * * [simplify]: Extracting #12: cost 0 inf + 126113
388.376 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
388.376 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
388.377 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
388.377 * * [simplify]: iters left: 6 (24 enodes)
388.383 * * [simplify]: iters left: 5 (107 enodes)
388.405 * * [simplify]: iters left: 4 (319 enodes)
388.623 * * [simplify]: Extracting #0: cost 1 inf + 0
388.623 * * [simplify]: Extracting #1: cost 3 inf + 0
388.624 * * [simplify]: Extracting #2: cost 41 inf + 0
388.625 * * [simplify]: Extracting #3: cost 306 inf + 0
388.628 * * [simplify]: Extracting #4: cost 478 inf + 166
388.652 * * [simplify]: Extracting #5: cost 374 inf + 64564
388.722 * * [simplify]: Extracting #6: cost 35 inf + 215402
388.807 * * [simplify]: Extracting #7: cost 1 inf + 216950
388.877 * * [simplify]: Extracting #8: cost 0 inf + 217114
388.949 * * [simplify]: Extracting #9: cost 0 inf + 217074
389.052 * [simplify]: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))
389.052 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))))
389.053 * * * * [progress]: [ 491 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
389.054 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
389.055 * * [simplify]: iters left: 6 (52 enodes)
389.082 * * [simplify]: iters left: 5 (253 enodes)
389.152 * * [simplify]: Extracting #0: cost 1 inf + 0
389.152 * * [simplify]: Extracting #1: cost 3 inf + 0
389.152 * * [simplify]: Extracting #2: cost 6 inf + 0
389.152 * * [simplify]: Extracting #3: cost 60 inf + 0
389.153 * * [simplify]: Extracting #4: cost 153 inf + 0
389.154 * * [simplify]: Extracting #5: cost 221 inf + 44
389.155 * * [simplify]: Extracting #6: cost 245 inf + 6752
389.158 * * [simplify]: Extracting #7: cost 204 inf + 14125
389.164 * * [simplify]: Extracting #8: cost 133 inf + 34209
389.174 * * [simplify]: Extracting #9: cost 67 inf + 60940
389.217 * * [simplify]: Extracting #10: cost 7 inf + 119795
389.264 * * [simplify]: Extracting #11: cost 1 inf + 126705
389.312 * * [simplify]: Extracting #12: cost 0 inf + 128810
389.361 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))
389.361 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
389.362 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
389.363 * * [simplify]: iters left: 6 (25 enodes)
389.374 * * [simplify]: iters left: 5 (111 enodes)
389.418 * * [simplify]: iters left: 4 (316 enodes)
389.686 * * [simplify]: Extracting #0: cost 1 inf + 0
389.686 * * [simplify]: Extracting #1: cost 3 inf + 0
389.686 * * [simplify]: Extracting #2: cost 69 inf + 0
389.687 * * [simplify]: Extracting #3: cost 325 inf + 0
389.688 * * [simplify]: Extracting #4: cost 426 inf + 250
389.702 * * [simplify]: Extracting #5: cost 298 inf + 81660
389.756 * * [simplify]: Extracting #6: cost 22 inf + 199811
389.804 * * [simplify]: Extracting #7: cost 0 inf + 198917
389.876 * * [simplify]: Extracting #8: cost 0 inf + 198597
389.965 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)))))
389.965 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1))))))))
389.966 * * * * [progress]: [ 492 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
389.967 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
389.968 * * [simplify]: iters left: 6 (52 enodes)
389.996 * * [simplify]: iters left: 5 (253 enodes)
390.068 * * [simplify]: Extracting #0: cost 1 inf + 0
390.068 * * [simplify]: Extracting #1: cost 3 inf + 0
390.068 * * [simplify]: Extracting #2: cost 6 inf + 0
390.069 * * [simplify]: Extracting #3: cost 62 inf + 0
390.069 * * [simplify]: Extracting #4: cost 151 inf + 0
390.070 * * [simplify]: Extracting #5: cost 217 inf + 44
390.073 * * [simplify]: Extracting #6: cost 247 inf + 5862
390.078 * * [simplify]: Extracting #7: cost 198 inf + 15210
390.084 * * [simplify]: Extracting #8: cost 132 inf + 33689
390.094 * * [simplify]: Extracting #9: cost 59 inf + 66612
390.120 * * [simplify]: Extracting #10: cost 11 inf + 113068
390.170 * * [simplify]: Extracting #11: cost 1 inf + 124297
390.218 * * [simplify]: Extracting #12: cost 0 inf + 126402
390.244 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))
390.244 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
390.245 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
390.245 * * [simplify]: iters left: 6 (25 enodes)
390.252 * * [simplify]: iters left: 5 (111 enodes)
390.296 * * [simplify]: iters left: 4 (314 enodes)
390.497 * * [simplify]: Extracting #0: cost 1 inf + 0
390.497 * * [simplify]: Extracting #1: cost 3 inf + 0
390.497 * * [simplify]: Extracting #2: cost 61 inf + 0
390.498 * * [simplify]: Extracting #3: cost 296 inf + 0
390.500 * * [simplify]: Extracting #4: cost 384 inf + 250
390.510 * * [simplify]: Extracting #5: cost 299 inf + 56980
390.555 * * [simplify]: Extracting #6: cost 14 inf + 176064
390.629 * * [simplify]: Extracting #7: cost 0 inf + 172944
390.686 * * [simplify]: Extracting #8: cost 0 inf + 172704
390.729 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))
390.729 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))))
390.729 * * * * [progress]: [ 493 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
390.730 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
390.730 * * [simplify]: iters left: 6 (46 enodes)
390.755 * * [simplify]: iters left: 5 (217 enodes)
390.812 * * [simplify]: Extracting #0: cost 1 inf + 0
390.812 * * [simplify]: Extracting #1: cost 3 inf + 0
390.812 * * [simplify]: Extracting #2: cost 6 inf + 0
390.812 * * [simplify]: Extracting #3: cost 54 inf + 0
390.813 * * [simplify]: Extracting #4: cost 119 inf + 0
390.813 * * [simplify]: Extracting #5: cost 165 inf + 44
390.815 * * [simplify]: Extracting #6: cost 225 inf + 1115
390.817 * * [simplify]: Extracting #7: cost 211 inf + 3481
390.822 * * [simplify]: Extracting #8: cost 153 inf + 17047
390.836 * * [simplify]: Extracting #9: cost 93 inf + 41746
390.857 * * [simplify]: Extracting #10: cost 44 inf + 59147
390.876 * * [simplify]: Extracting #11: cost 11 inf + 89626
390.903 * * [simplify]: Extracting #12: cost 1 inf + 102036
390.933 * * [simplify]: Extracting #13: cost 0 inf + 103901
390.958 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))))
390.958 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
390.959 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
390.959 * * [simplify]: iters left: 6 (20 enodes)
390.964 * * [simplify]: iters left: 5 (89 enodes)
390.982 * * [simplify]: iters left: 4 (244 enodes)
391.081 * * [simplify]: Extracting #0: cost 1 inf + 0
391.082 * * [simplify]: Extracting #1: cost 3 inf + 0
391.082 * * [simplify]: Extracting #2: cost 36 inf + 0
391.082 * * [simplify]: Extracting #3: cost 168 inf + 0
391.084 * * [simplify]: Extracting #4: cost 226 inf + 85
391.093 * * [simplify]: Extracting #5: cost 208 inf + 25640
391.118 * * [simplify]: Extracting #6: cost 31 inf + 88806
391.145 * * [simplify]: Extracting #7: cost 0 inf + 93523
391.173 * * [simplify]: Extracting #8: cost 0 inf + 92803
391.208 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
391.208 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))))
391.209 * * * * [progress]: [ 494 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
391.210 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
391.211 * * [simplify]: iters left: 6 (51 enodes)
391.231 * * [simplify]: iters left: 5 (245 enodes)
391.288 * * [simplify]: Extracting #0: cost 1 inf + 0
391.288 * * [simplify]: Extracting #1: cost 3 inf + 0
391.288 * * [simplify]: Extracting #2: cost 10 inf + 0
391.288 * * [simplify]: Extracting #3: cost 74 inf + 0
391.289 * * [simplify]: Extracting #4: cost 137 inf + 1
391.289 * * [simplify]: Extracting #5: cost 186 inf + 249
391.290 * * [simplify]: Extracting #6: cost 244 inf + 1970
391.295 * * [simplify]: Extracting #7: cost 180 inf + 17402
391.307 * * [simplify]: Extracting #8: cost 132 inf + 35227
391.321 * * [simplify]: Extracting #9: cost 97 inf + 48661
391.342 * * [simplify]: Extracting #10: cost 53 inf + 65387
391.376 * * [simplify]: Extracting #11: cost 9 inf + 104567
391.420 * * [simplify]: Extracting #12: cost 0 inf + 118032
391.448 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))
391.448 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
391.450 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
391.450 * * [simplify]: iters left: 6 (23 enodes)
391.460 * * [simplify]: iters left: 5 (102 enodes)
391.479 * * [simplify]: iters left: 4 (261 enodes)
391.574 * * [simplify]: Extracting #0: cost 1 inf + 0
391.575 * * [simplify]: Extracting #1: cost 3 inf + 0
391.575 * * [simplify]: Extracting #2: cost 33 inf + 0
391.575 * * [simplify]: Extracting #3: cost 142 inf + 0
391.577 * * [simplify]: Extracting #4: cost 221 inf + 371
391.584 * * [simplify]: Extracting #5: cost 228 inf + 21421
391.611 * * [simplify]: Extracting #6: cost 35 inf + 89970
391.637 * * [simplify]: Extracting #7: cost 0 inf + 99690
391.663 * * [simplify]: Extracting #8: cost 0 inf + 98370
391.700 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
391.700 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (sqrt (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))))
391.701 * * * * [progress]: [ 495 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
391.702 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
391.702 * * [simplify]: iters left: 6 (46 enodes)
391.727 * * [simplify]: iters left: 5 (217 enodes)
391.778 * * [simplify]: Extracting #0: cost 1 inf + 0
391.778 * * [simplify]: Extracting #1: cost 3 inf + 0
391.779 * * [simplify]: Extracting #2: cost 10 inf + 0
391.779 * * [simplify]: Extracting #3: cost 66 inf + 0
391.779 * * [simplify]: Extracting #4: cost 117 inf + 44
391.780 * * [simplify]: Extracting #5: cost 152 inf + 822
391.782 * * [simplify]: Extracting #6: cost 214 inf + 2772
391.785 * * [simplify]: Extracting #7: cost 213 inf + 3553
391.791 * * [simplify]: Extracting #8: cost 149 inf + 19413
391.805 * * [simplify]: Extracting #9: cost 79 inf + 45153
391.825 * * [simplify]: Extracting #10: cost 42 inf + 58554
391.855 * * [simplify]: Extracting #11: cost 17 inf + 80926
391.889 * * [simplify]: Extracting #12: cost 0 inf + 98071
391.926 * * [simplify]: Extracting #13: cost 0 inf + 97831
391.955 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
391.955 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
391.956 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
391.956 * * [simplify]: iters left: 6 (19 enodes)
391.961 * * [simplify]: iters left: 5 (84 enodes)
391.976 * * [simplify]: iters left: 4 (204 enodes)
392.059 * * [simplify]: Extracting #0: cost 1 inf + 0
392.059 * * [simplify]: Extracting #1: cost 3 inf + 0
392.059 * * [simplify]: Extracting #2: cost 23 inf + 0
392.059 * * [simplify]: Extracting #3: cost 69 inf + 0
392.060 * * [simplify]: Extracting #4: cost 113 inf + 44
392.060 * * [simplify]: Extracting #5: cost 174 inf + 1142
392.064 * * [simplify]: Extracting #6: cost 81 inf + 22521
392.075 * * [simplify]: Extracting #7: cost 7 inf + 45871
392.097 * * [simplify]: Extracting #8: cost 0 inf + 47732
392.109 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ phi1 phi2)))
392.109 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ phi1 phi2))))))
392.109 * * * * [progress]: [ 496 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
392.110 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
392.110 * * [simplify]: iters left: 6 (51 enodes)
392.124 * * [simplify]: iters left: 5 (245 enodes)
392.195 * * [simplify]: Extracting #0: cost 1 inf + 0
392.195 * * [simplify]: Extracting #1: cost 3 inf + 0
392.195 * * [simplify]: Extracting #2: cost 10 inf + 0
392.195 * * [simplify]: Extracting #3: cost 74 inf + 0
392.195 * * [simplify]: Extracting #4: cost 137 inf + 1
392.196 * * [simplify]: Extracting #5: cost 187 inf + 207
392.197 * * [simplify]: Extracting #6: cost 242 inf + 2333
392.199 * * [simplify]: Extracting #7: cost 177 inf + 17855
392.205 * * [simplify]: Extracting #8: cost 137 inf + 31755
392.215 * * [simplify]: Extracting #9: cost 97 inf + 49701
392.237 * * [simplify]: Extracting #10: cost 52 inf + 66812
392.272 * * [simplify]: Extracting #11: cost 9 inf + 105687
392.306 * * [simplify]: Extracting #12: cost 1 inf + 117167
392.338 * * [simplify]: Extracting #13: cost 0 inf + 119152
392.378 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))
392.378 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
392.380 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
392.380 * * [simplify]: iters left: 6 (23 enodes)
392.389 * * [simplify]: iters left: 5 (102 enodes)
392.423 * * [simplify]: iters left: 4 (261 enodes)
392.554 * * [simplify]: Extracting #0: cost 1 inf + 0
392.554 * * [simplify]: Extracting #1: cost 3 inf + 0
392.554 * * [simplify]: Extracting #2: cost 33 inf + 0
392.555 * * [simplify]: Extracting #3: cost 142 inf + 0
392.556 * * [simplify]: Extracting #4: cost 221 inf + 371
392.564 * * [simplify]: Extracting #5: cost 228 inf + 21421
392.588 * * [simplify]: Extracting #6: cost 35 inf + 89970
392.633 * * [simplify]: Extracting #7: cost 0 inf + 99690
392.662 * * [simplify]: Extracting #8: cost 0 inf + 98370
392.691 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
392.691 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (sqrt (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))))
392.691 * * * * [progress]: [ 497 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
392.692 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
392.692 * * [simplify]: iters left: 6 (46 enodes)
392.704 * * [simplify]: iters left: 5 (217 enodes)
392.776 * * [simplify]: Extracting #0: cost 1 inf + 0
392.776 * * [simplify]: Extracting #1: cost 3 inf + 0
392.776 * * [simplify]: Extracting #2: cost 10 inf + 0
392.777 * * [simplify]: Extracting #3: cost 65 inf + 0
392.777 * * [simplify]: Extracting #4: cost 117 inf + 44
392.777 * * [simplify]: Extracting #5: cost 153 inf + 660
392.778 * * [simplify]: Extracting #6: cost 214 inf + 2772
392.780 * * [simplify]: Extracting #7: cost 210 inf + 3837
392.783 * * [simplify]: Extracting #8: cost 149 inf + 19935
392.795 * * [simplify]: Extracting #9: cost 81 inf + 44984
392.813 * * [simplify]: Extracting #10: cost 43 inf + 58649
392.840 * * [simplify]: Extracting #11: cost 17 inf + 81486
392.868 * * [simplify]: Extracting #12: cost 0 inf + 98631
392.887 * * [simplify]: Extracting #13: cost 0 inf + 98391
392.914 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
392.914 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
392.915 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
392.915 * * [simplify]: iters left: 6 (19 enodes)
392.919 * * [simplify]: iters left: 5 (84 enodes)
392.936 * * [simplify]: iters left: 4 (204 enodes)
393.010 * * [simplify]: Extracting #0: cost 1 inf + 0
393.010 * * [simplify]: Extracting #1: cost 3 inf + 0
393.010 * * [simplify]: Extracting #2: cost 23 inf + 0
393.011 * * [simplify]: Extracting #3: cost 69 inf + 0
393.011 * * [simplify]: Extracting #4: cost 113 inf + 44
393.013 * * [simplify]: Extracting #5: cost 174 inf + 1142
393.022 * * [simplify]: Extracting #6: cost 81 inf + 22521
393.042 * * [simplify]: Extracting #7: cost 7 inf + 45871
393.055 * * [simplify]: Extracting #8: cost 0 inf + 47732
393.071 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ phi1 phi2)))
393.071 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ phi1 phi2))))))
393.072 * * * * [progress]: [ 498 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
393.073 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
393.073 * * [simplify]: iters left: 6 (50 enodes)
393.095 * * [simplify]: iters left: 5 (240 enodes)
393.154 * * [simplify]: Extracting #0: cost 1 inf + 0
393.155 * * [simplify]: Extracting #1: cost 3 inf + 0
393.155 * * [simplify]: Extracting #2: cost 6 inf + 0
393.155 * * [simplify]: Extracting #3: cost 57 inf + 0
393.155 * * [simplify]: Extracting #4: cost 128 inf + 0
393.156 * * [simplify]: Extracting #5: cost 193 inf + 0
393.158 * * [simplify]: Extracting #6: cost 264 inf + 3156
393.162 * * [simplify]: Extracting #7: cost 203 inf + 16575
393.171 * * [simplify]: Extracting #8: cost 128 inf + 33191
393.188 * * [simplify]: Extracting #9: cost 66 inf + 55181
393.212 * * [simplify]: Extracting #10: cost 34 inf + 76830
393.251 * * [simplify]: Extracting #11: cost 4 inf + 109620
393.289 * * [simplify]: Extracting #12: cost 0 inf + 114720
393.312 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))
393.312 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
393.312 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
393.313 * * [simplify]: iters left: 6 (23 enodes)
393.322 * * [simplify]: iters left: 5 (104 enodes)
393.360 * * [simplify]: iters left: 4 (311 enodes)
393.571 * * [simplify]: Extracting #0: cost 1 inf + 0
393.571 * * [simplify]: Extracting #1: cost 3 inf + 0
393.571 * * [simplify]: Extracting #2: cost 38 inf + 0
393.576 * * [simplify]: Extracting #3: cost 279 inf + 0
393.579 * * [simplify]: Extracting #4: cost 436 inf + 43
393.584 * * [simplify]: Extracting #5: cost 455 inf + 8050
393.616 * * [simplify]: Extracting #6: cost 162 inf + 111956
393.671 * * [simplify]: Extracting #7: cost 2 inf + 178529
393.728 * * [simplify]: Extracting #8: cost 0 inf + 178413
393.782 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))
393.782 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))))))
393.783 * * * * [progress]: [ 499 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
393.784 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
393.784 * * [simplify]: iters left: 6 (51 enodes)
393.811 * * [simplify]: iters left: 5 (249 enodes)
393.891 * * [simplify]: Extracting #0: cost 1 inf + 0
393.891 * * [simplify]: Extracting #1: cost 3 inf + 0
393.891 * * [simplify]: Extracting #2: cost 6 inf + 0
393.891 * * [simplify]: Extracting #3: cost 61 inf + 0
393.892 * * [simplify]: Extracting #4: cost 151 inf + 0
393.893 * * [simplify]: Extracting #5: cost 207 inf + 44
393.896 * * [simplify]: Extracting #6: cost 245 inf + 5374
393.902 * * [simplify]: Extracting #7: cost 200 inf + 17832
393.910 * * [simplify]: Extracting #8: cost 158 inf + 26322
393.922 * * [simplify]: Extracting #9: cost 110 inf + 39118
393.956 * * [simplify]: Extracting #10: cost 28 inf + 92976
393.987 * * [simplify]: Extracting #11: cost 3 inf + 111542
394.015 * * [simplify]: Extracting #12: cost 0 inf + 117097
394.060 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
394.060 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
394.061 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
394.061 * * [simplify]: iters left: 6 (24 enodes)
394.073 * * [simplify]: iters left: 5 (108 enodes)
394.117 * * [simplify]: iters left: 4 (308 enodes)
394.276 * * [simplify]: Extracting #0: cost 1 inf + 0
394.276 * * [simplify]: Extracting #1: cost 3 inf + 0
394.276 * * [simplify]: Extracting #2: cost 63 inf + 0
394.277 * * [simplify]: Extracting #3: cost 299 inf + 0
394.279 * * [simplify]: Extracting #4: cost 378 inf + 453
394.288 * * [simplify]: Extracting #5: cost 363 inf + 18010
394.315 * * [simplify]: Extracting #6: cost 132 inf + 102478
394.362 * * [simplify]: Extracting #7: cost 2 inf + 156400
394.418 * * [simplify]: Extracting #8: cost 0 inf + 157286
394.491 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)))))
394.491 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))))))))
394.492 * * * * [progress]: [ 500 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
394.492 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
394.493 * * [simplify]: iters left: 6 (51 enodes)
394.517 * * [simplify]: iters left: 5 (249 enodes)
394.574 * * [simplify]: Extracting #0: cost 1 inf + 0
394.575 * * [simplify]: Extracting #1: cost 3 inf + 0
394.575 * * [simplify]: Extracting #2: cost 6 inf + 0
394.575 * * [simplify]: Extracting #3: cost 63 inf + 0
394.575 * * [simplify]: Extracting #4: cost 149 inf + 0
394.576 * * [simplify]: Extracting #5: cost 203 inf + 44
394.579 * * [simplify]: Extracting #6: cost 238 inf + 5660
394.584 * * [simplify]: Extracting #7: cost 210 inf + 14231
394.592 * * [simplify]: Extracting #8: cost 157 inf + 25270
394.598 * * [simplify]: Extracting #9: cost 118 inf + 35332
394.609 * * [simplify]: Extracting #10: cost 78 inf + 50162
394.635 * * [simplify]: Extracting #11: cost 10 inf + 104359
394.670 * * [simplify]: Extracting #12: cost 0 inf + 114809
394.699 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
394.700 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
394.701 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
394.701 * * [simplify]: iters left: 6 (24 enodes)
394.707 * * [simplify]: iters left: 5 (108 enodes)
394.729 * * [simplify]: iters left: 4 (306 enodes)
394.924 * * [simplify]: Extracting #0: cost 1 inf + 0
394.924 * * [simplify]: Extracting #1: cost 3 inf + 0
394.924 * * [simplify]: Extracting #2: cost 55 inf + 0
394.926 * * [simplify]: Extracting #3: cost 276 inf + 0
394.928 * * [simplify]: Extracting #4: cost 347 inf + 817
394.935 * * [simplify]: Extracting #5: cost 336 inf + 16506
394.963 * * [simplify]: Extracting #6: cost 132 inf + 91747
395.012 * * [simplify]: Extracting #7: cost 3 inf + 139646
395.061 * * [simplify]: Extracting #8: cost 0 inf + 141658
395.094 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))
395.095 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))))))))
395.096 * * * * [progress]: [ 501 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
395.096 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
395.097 * * [simplify]: iters left: 6 (45 enodes)
395.123 * * [simplify]: iters left: 5 (213 enodes)
395.176 * * [simplify]: Extracting #0: cost 1 inf + 0
395.176 * * [simplify]: Extracting #1: cost 3 inf + 0
395.176 * * [simplify]: Extracting #2: cost 6 inf + 0
395.177 * * [simplify]: Extracting #3: cost 55 inf + 0
395.177 * * [simplify]: Extracting #4: cost 117 inf + 0
395.178 * * [simplify]: Extracting #5: cost 150 inf + 85
395.179 * * [simplify]: Extracting #6: cost 219 inf + 910
395.181 * * [simplify]: Extracting #7: cost 207 inf + 4004
395.187 * * [simplify]: Extracting #8: cost 142 inf + 17761
395.202 * * [simplify]: Extracting #9: cost 72 inf + 41362
395.222 * * [simplify]: Extracting #10: cost 12 inf + 80901
395.240 * * [simplify]: Extracting #11: cost 0 inf + 92388
395.266 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))))))
395.266 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
395.267 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))
395.267 * * [simplify]: iters left: 6 (19 enodes)
395.275 * * [simplify]: iters left: 5 (86 enodes)
395.296 * * [simplify]: iters left: 4 (236 enodes)
395.381 * * [simplify]: Extracting #0: cost 1 inf + 0
395.381 * * [simplify]: Extracting #1: cost 3 inf + 0
395.381 * * [simplify]: Extracting #2: cost 32 inf + 0
395.381 * * [simplify]: Extracting #3: cost 144 inf + 0
395.382 * * [simplify]: Extracting #4: cost 184 inf + 698
395.384 * * [simplify]: Extracting #5: cost 213 inf + 7810
395.390 * * [simplify]: Extracting #6: cost 132 inf + 32843
395.412 * * [simplify]: Extracting #7: cost 18 inf + 67340
395.446 * * [simplify]: Extracting #8: cost 0 inf + 72743
395.482 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))
395.482 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))))
395.483 * * * * [progress]: [ 502 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
395.483 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
395.484 * * [simplify]: iters left: 6 (50 enodes)
395.500 * * [simplify]: iters left: 5 (241 enodes)
395.582 * * [simplify]: Extracting #0: cost 1 inf + 0
395.582 * * [simplify]: Extracting #1: cost 3 inf + 0
395.582 * * [simplify]: Extracting #2: cost 10 inf + 0
395.582 * * [simplify]: Extracting #3: cost 75 inf + 0
395.583 * * [simplify]: Extracting #4: cost 142 inf + 1
395.583 * * [simplify]: Extracting #5: cost 179 inf + 249
395.584 * * [simplify]: Extracting #6: cost 238 inf + 2738
395.586 * * [simplify]: Extracting #7: cost 210 inf + 11520
395.590 * * [simplify]: Extracting #8: cost 155 inf + 25243
395.597 * * [simplify]: Extracting #9: cost 102 inf + 44134
395.609 * * [simplify]: Extracting #10: cost 64 inf + 57574
395.633 * * [simplify]: Extracting #11: cost 23 inf + 86519
395.655 * * [simplify]: Extracting #12: cost 2 inf + 109044
395.688 * * [simplify]: Extracting #13: cost 0 inf + 111814
395.713 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2)))))))
395.713 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
395.714 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
395.714 * * [simplify]: iters left: 6 (22 enodes)
395.719 * * [simplify]: iters left: 5 (99 enodes)
395.747 * * [simplify]: iters left: 4 (253 enodes)
395.856 * * [simplify]: Extracting #0: cost 1 inf + 0
395.856 * * [simplify]: Extracting #1: cost 3 inf + 0
395.856 * * [simplify]: Extracting #2: cost 28 inf + 0
395.856 * * [simplify]: Extracting #3: cost 105 inf + 0
395.857 * * [simplify]: Extracting #4: cost 172 inf + 372
395.858 * * [simplify]: Extracting #5: cost 234 inf + 1112
395.861 * * [simplify]: Extracting #6: cost 171 inf + 19664
395.878 * * [simplify]: Extracting #7: cost 21 inf + 64647
395.909 * * [simplify]: Extracting #8: cost 0 inf + 71111
395.933 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))
395.934 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
395.934 * * * * [progress]: [ 503 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
395.934 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
395.935 * * [simplify]: iters left: 6 (45 enodes)
395.950 * * [simplify]: iters left: 5 (213 enodes)
396.016 * * [simplify]: Extracting #0: cost 1 inf + 0
396.016 * * [simplify]: Extracting #1: cost 3 inf + 0
396.016 * * [simplify]: Extracting #2: cost 10 inf + 0
396.016 * * [simplify]: Extracting #3: cost 67 inf + 0
396.017 * * [simplify]: Extracting #4: cost 122 inf + 44
396.018 * * [simplify]: Extracting #5: cost 147 inf + 578
396.019 * * [simplify]: Extracting #6: cost 210 inf + 2934
396.022 * * [simplify]: Extracting #7: cost 216 inf + 3510
396.027 * * [simplify]: Extracting #8: cost 153 inf + 15822
396.036 * * [simplify]: Extracting #9: cost 70 inf + 45758
396.051 * * [simplify]: Extracting #10: cost 11 inf + 83873
396.070 * * [simplify]: Extracting #11: cost 0 inf + 92333
396.088 * * [simplify]: Extracting #12: cost 0 inf + 92253
396.122 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (+ phi2 phi1)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))))
396.122 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (+ phi2 phi1)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
396.123 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
396.123 * * [simplify]: iters left: 6 (18 enodes)
396.127 * * [simplify]: iters left: 5 (81 enodes)
396.141 * * [simplify]: iters left: 4 (196 enodes)
396.228 * * [simplify]: Extracting #0: cost 1 inf + 0
396.228 * * [simplify]: Extracting #1: cost 3 inf + 0
396.229 * * [simplify]: Extracting #2: cost 18 inf + 0
396.229 * * [simplify]: Extracting #3: cost 44 inf + 0
396.229 * * [simplify]: Extracting #4: cost 83 inf + 2
396.230 * * [simplify]: Extracting #5: cost 154 inf + 88
396.232 * * [simplify]: Extracting #6: cost 126 inf + 5617
396.245 * * [simplify]: Extracting #7: cost 27 inf + 29998
396.263 * * [simplify]: Extracting #8: cost 1 inf + 36461
396.282 * * [simplify]: Extracting #9: cost 0 inf + 36743
396.301 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
396.301 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (+ phi2 phi1)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (+ phi1 phi2) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))))
396.302 * * * * [progress]: [ 504 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
396.302 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
396.303 * * [simplify]: iters left: 6 (50 enodes)
396.329 * * [simplify]: iters left: 5 (241 enodes)
396.404 * * [simplify]: Extracting #0: cost 1 inf + 0
396.404 * * [simplify]: Extracting #1: cost 3 inf + 0
396.404 * * [simplify]: Extracting #2: cost 10 inf + 0
396.404 * * [simplify]: Extracting #3: cost 75 inf + 0
396.405 * * [simplify]: Extracting #4: cost 142 inf + 1
396.406 * * [simplify]: Extracting #5: cost 180 inf + 207
396.408 * * [simplify]: Extracting #6: cost 240 inf + 2575
396.411 * * [simplify]: Extracting #7: cost 210 inf + 11520
396.419 * * [simplify]: Extracting #8: cost 157 inf + 25079
396.432 * * [simplify]: Extracting #9: cost 102 inf + 45135
396.451 * * [simplify]: Extracting #10: cost 64 inf + 58534
396.479 * * [simplify]: Extracting #11: cost 26 inf + 83604
396.506 * * [simplify]: Extracting #12: cost 4 inf + 106474
396.529 * * [simplify]: Extracting #13: cost 1 inf + 110989
396.551 * * [simplify]: Extracting #14: cost 0 inf + 112774
396.573 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2)))))))
396.573 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
396.574 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
396.574 * * [simplify]: iters left: 6 (22 enodes)
396.579 * * [simplify]: iters left: 5 (99 enodes)
396.597 * * [simplify]: iters left: 4 (253 enodes)
396.693 * * [simplify]: Extracting #0: cost 1 inf + 0
396.693 * * [simplify]: Extracting #1: cost 3 inf + 0
396.693 * * [simplify]: Extracting #2: cost 28 inf + 0
396.693 * * [simplify]: Extracting #3: cost 105 inf + 0
396.694 * * [simplify]: Extracting #4: cost 172 inf + 372
396.695 * * [simplify]: Extracting #5: cost 234 inf + 1112
396.698 * * [simplify]: Extracting #6: cost 171 inf + 19664
396.712 * * [simplify]: Extracting #7: cost 21 inf + 64647
396.730 * * [simplify]: Extracting #8: cost 0 inf + 71111
396.751 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))
396.751 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
396.751 * * * * [progress]: [ 505 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
396.751 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
396.752 * * [simplify]: iters left: 6 (45 enodes)
396.773 * * [simplify]: iters left: 5 (213 enodes)
396.857 * * [simplify]: Extracting #0: cost 1 inf + 0
396.857 * * [simplify]: Extracting #1: cost 3 inf + 0
396.857 * * [simplify]: Extracting #2: cost 10 inf + 0
396.857 * * [simplify]: Extracting #3: cost 66 inf + 0
396.858 * * [simplify]: Extracting #4: cost 122 inf + 44
396.859 * * [simplify]: Extracting #5: cost 145 inf + 783
396.860 * * [simplify]: Extracting #6: cost 210 inf + 2934
396.863 * * [simplify]: Extracting #7: cost 214 inf + 3712
396.868 * * [simplify]: Extracting #8: cost 151 inf + 16345
396.885 * * [simplify]: Extracting #9: cost 70 inf + 45636
396.913 * * [simplify]: Extracting #10: cost 10 inf + 84645
396.934 * * [simplify]: Extracting #11: cost 0 inf + 92893
396.953 * * [simplify]: Extracting #12: cost 0 inf + 92813
396.972 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (+ phi2 phi1)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))))))
396.972 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (+ phi2 phi1)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
396.973 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
396.973 * * [simplify]: iters left: 6 (18 enodes)
396.981 * * [simplify]: iters left: 5 (81 enodes)
397.009 * * [simplify]: iters left: 4 (196 enodes)
397.076 * * [simplify]: Extracting #0: cost 1 inf + 0
397.076 * * [simplify]: Extracting #1: cost 3 inf + 0
397.076 * * [simplify]: Extracting #2: cost 18 inf + 0
397.076 * * [simplify]: Extracting #3: cost 44 inf + 0
397.076 * * [simplify]: Extracting #4: cost 83 inf + 2
397.077 * * [simplify]: Extracting #5: cost 154 inf + 88
397.078 * * [simplify]: Extracting #6: cost 126 inf + 5617
397.084 * * [simplify]: Extracting #7: cost 27 inf + 29998
397.095 * * [simplify]: Extracting #8: cost 1 inf + 36461
397.111 * * [simplify]: Extracting #9: cost 0 inf + 36743
397.128 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
397.128 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (+ phi2 phi1)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (+ phi1 phi2) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))))
397.129 * * * * [progress]: [ 506 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
397.129 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
397.129 * * [simplify]: iters left: 6 (51 enodes)
397.143 * * [simplify]: iters left: 5 (244 enodes)
397.211 * * [simplify]: Extracting #0: cost 1 inf + 0
397.211 * * [simplify]: Extracting #1: cost 3 inf + 0
397.211 * * [simplify]: Extracting #2: cost 6 inf + 0
397.211 * * [simplify]: Extracting #3: cost 56 inf + 0
397.212 * * [simplify]: Extracting #4: cost 130 inf + 0
397.212 * * [simplify]: Extracting #5: cost 207 inf + 0
397.213 * * [simplify]: Extracting #6: cost 276 inf + 1266
397.215 * * [simplify]: Extracting #7: cost 203 inf + 14919
397.226 * * [simplify]: Extracting #8: cost 114 inf + 44824
397.247 * * [simplify]: Extracting #9: cost 55 inf + 66578
397.272 * * [simplify]: Extracting #10: cost 37 inf + 79468
397.311 * * [simplify]: Extracting #11: cost 5 inf + 117828
397.345 * * [simplify]: Extracting #12: cost 0 inf + 126433
397.376 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
397.376 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
397.376 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
397.377 * * [simplify]: iters left: 6 (24 enodes)
397.382 * * [simplify]: iters left: 5 (107 enodes)
397.408 * * [simplify]: iters left: 4 (319 enodes)
397.653 * * [simplify]: Extracting #0: cost 1 inf + 0
397.653 * * [simplify]: Extracting #1: cost 3 inf + 0
397.653 * * [simplify]: Extracting #2: cost 41 inf + 0
397.654 * * [simplify]: Extracting #3: cost 306 inf + 0
397.656 * * [simplify]: Extracting #4: cost 478 inf + 166
397.670 * * [simplify]: Extracting #5: cost 374 inf + 64564
397.752 * * [simplify]: Extracting #6: cost 35 inf + 215402
397.828 * * [simplify]: Extracting #7: cost 1 inf + 216950
397.897 * * [simplify]: Extracting #8: cost 0 inf + 217114
397.959 * * [simplify]: Extracting #9: cost 0 inf + 217074
398.039 * [simplify]: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))
398.039 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))))
398.040 * * * * [progress]: [ 507 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
398.040 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
398.040 * * [simplify]: iters left: 6 (52 enodes)
398.055 * * [simplify]: iters left: 5 (253 enodes)
398.128 * * [simplify]: Extracting #0: cost 1 inf + 0
398.129 * * [simplify]: Extracting #1: cost 3 inf + 0
398.129 * * [simplify]: Extracting #2: cost 6 inf + 0
398.129 * * [simplify]: Extracting #3: cost 60 inf + 0
398.129 * * [simplify]: Extracting #4: cost 153 inf + 0
398.130 * * [simplify]: Extracting #5: cost 221 inf + 44
398.134 * * [simplify]: Extracting #6: cost 245 inf + 6752
398.140 * * [simplify]: Extracting #7: cost 203 inf + 14407
398.151 * * [simplify]: Extracting #8: cost 134 inf + 34198
398.171 * * [simplify]: Extracting #9: cost 67 inf + 61260
398.214 * * [simplify]: Extracting #10: cost 7 inf + 120115
398.261 * * [simplify]: Extracting #11: cost 1 inf + 127025
398.303 * * [simplify]: Extracting #12: cost 0 inf + 129130
398.332 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))
398.332 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
398.333 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
398.333 * * [simplify]: iters left: 6 (25 enodes)
398.347 * * [simplify]: iters left: 5 (111 enodes)
398.389 * * [simplify]: iters left: 4 (316 enodes)
398.600 * * [simplify]: Extracting #0: cost 1 inf + 0
398.600 * * [simplify]: Extracting #1: cost 3 inf + 0
398.600 * * [simplify]: Extracting #2: cost 69 inf + 0
398.601 * * [simplify]: Extracting #3: cost 325 inf + 0
398.604 * * [simplify]: Extracting #4: cost 426 inf + 250
398.630 * * [simplify]: Extracting #5: cost 298 inf + 81660
398.719 * * [simplify]: Extracting #6: cost 22 inf + 199811
398.783 * * [simplify]: Extracting #7: cost 0 inf + 198917
398.843 * * [simplify]: Extracting #8: cost 0 inf + 198597
398.889 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)))))
398.890 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1))))))))
398.890 * * * * [progress]: [ 508 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
398.890 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
398.891 * * [simplify]: iters left: 6 (52 enodes)
398.905 * * [simplify]: iters left: 5 (253 enodes)
399.008 * * [simplify]: Extracting #0: cost 1 inf + 0
399.008 * * [simplify]: Extracting #1: cost 3 inf + 0
399.008 * * [simplify]: Extracting #2: cost 6 inf + 0
399.008 * * [simplify]: Extracting #3: cost 62 inf + 0
399.009 * * [simplify]: Extracting #4: cost 151 inf + 0
399.010 * * [simplify]: Extracting #5: cost 217 inf + 44
399.013 * * [simplify]: Extracting #6: cost 247 inf + 5862
399.019 * * [simplify]: Extracting #7: cost 198 inf + 15210
399.030 * * [simplify]: Extracting #8: cost 133 inf + 33385
399.046 * * [simplify]: Extracting #9: cost 59 inf + 66932
399.068 * * [simplify]: Extracting #10: cost 11 inf + 113388
399.093 * * [simplify]: Extracting #11: cost 1 inf + 124617
399.133 * * [simplify]: Extracting #12: cost 0 inf + 126722
399.176 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))
399.176 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
399.177 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
399.177 * * [simplify]: iters left: 6 (25 enodes)
399.183 * * [simplify]: iters left: 5 (111 enodes)
399.214 * * [simplify]: iters left: 4 (314 enodes)
399.465 * * [simplify]: Extracting #0: cost 1 inf + 0
399.465 * * [simplify]: Extracting #1: cost 3 inf + 0
399.465 * * [simplify]: Extracting #2: cost 61 inf + 0
399.465 * * [simplify]: Extracting #3: cost 296 inf + 0
399.467 * * [simplify]: Extracting #4: cost 384 inf + 250
399.477 * * [simplify]: Extracting #5: cost 299 inf + 56980
399.534 * * [simplify]: Extracting #6: cost 14 inf + 176064
399.618 * * [simplify]: Extracting #7: cost 0 inf + 172944
399.696 * * [simplify]: Extracting #8: cost 0 inf + 172704
399.749 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))
399.749 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))))
399.750 * * * * [progress]: [ 509 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
399.751 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
399.751 * * [simplify]: iters left: 6 (46 enodes)
399.777 * * [simplify]: iters left: 5 (217 enodes)
399.862 * * [simplify]: Extracting #0: cost 1 inf + 0
399.862 * * [simplify]: Extracting #1: cost 3 inf + 0
399.862 * * [simplify]: Extracting #2: cost 6 inf + 0
399.862 * * [simplify]: Extracting #3: cost 54 inf + 0
399.863 * * [simplify]: Extracting #4: cost 119 inf + 0
399.863 * * [simplify]: Extracting #5: cost 165 inf + 44
399.865 * * [simplify]: Extracting #6: cost 226 inf + 1034
399.866 * * [simplify]: Extracting #7: cost 211 inf + 3521
399.869 * * [simplify]: Extracting #8: cost 154 inf + 16402
399.879 * * [simplify]: Extracting #9: cost 90 inf + 42420
399.889 * * [simplify]: Extracting #10: cost 48 inf + 56825
399.901 * * [simplify]: Extracting #11: cost 30 inf + 68751
399.925 * * [simplify]: Extracting #12: cost 8 inf + 92781
399.946 * * [simplify]: Extracting #13: cost 1 inf + 102356
399.966 * * [simplify]: Extracting #14: cost 0 inf + 104221
400.006 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2))))))))))
400.006 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
400.007 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
400.007 * * [simplify]: iters left: 6 (20 enodes)
400.011 * * [simplify]: iters left: 5 (89 enodes)
400.028 * * [simplify]: iters left: 4 (244 enodes)
400.148 * * [simplify]: Extracting #0: cost 1 inf + 0
400.149 * * [simplify]: Extracting #1: cost 3 inf + 0
400.149 * * [simplify]: Extracting #2: cost 36 inf + 0
400.149 * * [simplify]: Extracting #3: cost 168 inf + 0
400.151 * * [simplify]: Extracting #4: cost 226 inf + 85
400.160 * * [simplify]: Extracting #5: cost 208 inf + 25640
400.195 * * [simplify]: Extracting #6: cost 31 inf + 88806
400.238 * * [simplify]: Extracting #7: cost 0 inf + 93523
400.259 * * [simplify]: Extracting #8: cost 0 inf + 92803
400.301 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
400.301 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))))
400.302 * * * * [progress]: [ 510 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
400.303 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
400.303 * * [simplify]: iters left: 6 (51 enodes)
400.330 * * [simplify]: iters left: 5 (245 enodes)
400.401 * * [simplify]: Extracting #0: cost 1 inf + 0
400.401 * * [simplify]: Extracting #1: cost 3 inf + 0
400.401 * * [simplify]: Extracting #2: cost 10 inf + 0
400.401 * * [simplify]: Extracting #3: cost 74 inf + 0
400.402 * * [simplify]: Extracting #4: cost 137 inf + 1
400.403 * * [simplify]: Extracting #5: cost 186 inf + 249
400.405 * * [simplify]: Extracting #6: cost 244 inf + 1970
400.410 * * [simplify]: Extracting #7: cost 180 inf + 17402
400.418 * * [simplify]: Extracting #8: cost 132 inf + 35227
400.425 * * [simplify]: Extracting #9: cost 97 inf + 48821
400.436 * * [simplify]: Extracting #10: cost 53 inf + 65707
400.466 * * [simplify]: Extracting #11: cost 9 inf + 104887
400.506 * * [simplify]: Extracting #12: cost 0 inf + 118352
400.545 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))
400.545 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
400.546 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
400.546 * * [simplify]: iters left: 6 (23 enodes)
400.555 * * [simplify]: iters left: 5 (102 enodes)
400.579 * * [simplify]: iters left: 4 (261 enodes)
400.700 * * [simplify]: Extracting #0: cost 1 inf + 0
400.700 * * [simplify]: Extracting #1: cost 3 inf + 0
400.700 * * [simplify]: Extracting #2: cost 33 inf + 0
400.700 * * [simplify]: Extracting #3: cost 142 inf + 0
400.701 * * [simplify]: Extracting #4: cost 221 inf + 371
400.707 * * [simplify]: Extracting #5: cost 228 inf + 21421
400.731 * * [simplify]: Extracting #6: cost 35 inf + 89970
400.763 * * [simplify]: Extracting #7: cost 0 inf + 99690
400.811 * * [simplify]: Extracting #8: cost 0 inf + 98370
400.851 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
400.851 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (sqrt (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))))
400.852 * * * * [progress]: [ 511 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
400.852 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
400.852 * * [simplify]: iters left: 6 (46 enodes)
400.864 * * [simplify]: iters left: 5 (217 enodes)
400.938 * * [simplify]: Extracting #0: cost 1 inf + 0
400.938 * * [simplify]: Extracting #1: cost 3 inf + 0
400.938 * * [simplify]: Extracting #2: cost 10 inf + 0
400.938 * * [simplify]: Extracting #3: cost 66 inf + 0
400.938 * * [simplify]: Extracting #4: cost 117 inf + 44
400.939 * * [simplify]: Extracting #5: cost 152 inf + 822
400.940 * * [simplify]: Extracting #6: cost 214 inf + 2772
400.941 * * [simplify]: Extracting #7: cost 210 inf + 3797
400.946 * * [simplify]: Extracting #8: cost 151 inf + 19172
400.953 * * [simplify]: Extracting #9: cost 84 inf + 43551
400.963 * * [simplify]: Extracting #10: cost 42 inf + 58874
400.986 * * [simplify]: Extracting #11: cost 17 inf + 81246
401.020 * * [simplify]: Extracting #12: cost 0 inf + 98391
401.041 * * [simplify]: Extracting #13: cost 0 inf + 98151
401.061 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
401.061 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
401.061 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
401.062 * * [simplify]: iters left: 6 (19 enodes)
401.067 * * [simplify]: iters left: 5 (84 enodes)
401.082 * * [simplify]: iters left: 4 (204 enodes)
401.159 * * [simplify]: Extracting #0: cost 1 inf + 0
401.159 * * [simplify]: Extracting #1: cost 3 inf + 0
401.159 * * [simplify]: Extracting #2: cost 23 inf + 0
401.160 * * [simplify]: Extracting #3: cost 69 inf + 0
401.160 * * [simplify]: Extracting #4: cost 113 inf + 44
401.162 * * [simplify]: Extracting #5: cost 174 inf + 1142
401.170 * * [simplify]: Extracting #6: cost 81 inf + 22521
401.191 * * [simplify]: Extracting #7: cost 7 inf + 45871
401.208 * * [simplify]: Extracting #8: cost 0 inf + 47732
401.220 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ phi1 phi2)))
401.220 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ phi1 phi2))))))
401.220 * * * * [progress]: [ 512 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
401.221 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
401.221 * * [simplify]: iters left: 6 (51 enodes)
401.242 * * [simplify]: iters left: 5 (245 enodes)
401.341 * * [simplify]: Extracting #0: cost 1 inf + 0
401.341 * * [simplify]: Extracting #1: cost 3 inf + 0
401.341 * * [simplify]: Extracting #2: cost 10 inf + 0
401.342 * * [simplify]: Extracting #3: cost 74 inf + 0
401.342 * * [simplify]: Extracting #4: cost 137 inf + 1
401.343 * * [simplify]: Extracting #5: cost 187 inf + 207
401.345 * * [simplify]: Extracting #6: cost 242 inf + 2333
401.350 * * [simplify]: Extracting #7: cost 177 inf + 17855
401.360 * * [simplify]: Extracting #8: cost 137 inf + 31755
401.376 * * [simplify]: Extracting #9: cost 97 inf + 49861
401.392 * * [simplify]: Extracting #10: cost 52 inf + 67132
401.410 * * [simplify]: Extracting #11: cost 9 inf + 106007
401.443 * * [simplify]: Extracting #12: cost 1 inf + 117487
401.483 * * [simplify]: Extracting #13: cost 0 inf + 119472
401.528 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))
401.528 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
401.529 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
401.529 * * [simplify]: iters left: 6 (23 enodes)
401.534 * * [simplify]: iters left: 5 (102 enodes)
401.553 * * [simplify]: iters left: 4 (261 enodes)
401.656 * * [simplify]: Extracting #0: cost 1 inf + 0
401.656 * * [simplify]: Extracting #1: cost 3 inf + 0
401.656 * * [simplify]: Extracting #2: cost 33 inf + 0
401.656 * * [simplify]: Extracting #3: cost 142 inf + 0
401.657 * * [simplify]: Extracting #4: cost 221 inf + 371
401.661 * * [simplify]: Extracting #5: cost 228 inf + 21421
401.680 * * [simplify]: Extracting #6: cost 35 inf + 89970
401.716 * * [simplify]: Extracting #7: cost 0 inf + 99690
401.749 * * [simplify]: Extracting #8: cost 0 inf + 98370
401.794 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
401.795 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (sqrt (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))))
401.796 * * * * [progress]: [ 513 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
401.796 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
401.797 * * [simplify]: iters left: 6 (46 enodes)
401.820 * * [simplify]: iters left: 5 (217 enodes)
401.906 * * [simplify]: Extracting #0: cost 1 inf + 0
401.906 * * [simplify]: Extracting #1: cost 3 inf + 0
401.906 * * [simplify]: Extracting #2: cost 10 inf + 0
401.906 * * [simplify]: Extracting #3: cost 65 inf + 0
401.907 * * [simplify]: Extracting #4: cost 117 inf + 44
401.908 * * [simplify]: Extracting #5: cost 153 inf + 660
401.909 * * [simplify]: Extracting #6: cost 213 inf + 2814
401.911 * * [simplify]: Extracting #7: cost 208 inf + 4001
401.914 * * [simplify]: Extracting #8: cost 148 inf + 19938
401.921 * * [simplify]: Extracting #9: cost 85 inf + 43752
401.932 * * [simplify]: Extracting #10: cost 45 inf + 58172
401.946 * * [simplify]: Extracting #11: cost 17 inf + 81806
401.970 * * [simplify]: Extracting #12: cost 0 inf + 98951
402.008 * * [simplify]: Extracting #13: cost 0 inf + 98711
402.033 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
402.034 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
402.034 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
402.035 * * [simplify]: iters left: 6 (19 enodes)
402.039 * * [simplify]: iters left: 5 (84 enodes)
402.057 * * [simplify]: iters left: 4 (204 enodes)
402.133 * * [simplify]: Extracting #0: cost 1 inf + 0
402.133 * * [simplify]: Extracting #1: cost 3 inf + 0
402.133 * * [simplify]: Extracting #2: cost 23 inf + 0
402.134 * * [simplify]: Extracting #3: cost 69 inf + 0
402.135 * * [simplify]: Extracting #4: cost 113 inf + 44
402.136 * * [simplify]: Extracting #5: cost 174 inf + 1142
402.142 * * [simplify]: Extracting #6: cost 81 inf + 22521
402.152 * * [simplify]: Extracting #7: cost 7 inf + 45871
402.170 * * [simplify]: Extracting #8: cost 0 inf + 47732
402.193 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ phi1 phi2)))
402.193 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (+ phi1 phi2))))))
402.194 * * * * [progress]: [ 514 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
402.194 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
402.195 * * [simplify]: iters left: 6 (48 enodes)
402.220 * * [simplify]: iters left: 5 (231 enodes)
402.295 * * [simplify]: Extracting #0: cost 1 inf + 0
402.295 * * [simplify]: Extracting #1: cost 3 inf + 0
402.295 * * [simplify]: Extracting #2: cost 6 inf + 0
402.295 * * [simplify]: Extracting #3: cost 54 inf + 0
402.295 * * [simplify]: Extracting #4: cost 120 inf + 0
402.296 * * [simplify]: Extracting #5: cost 187 inf + 0
402.296 * * [simplify]: Extracting #6: cost 252 inf + 3033
402.298 * * [simplify]: Extracting #7: cost 202 inf + 13481
402.302 * * [simplify]: Extracting #8: cost 145 inf + 24375
402.307 * * [simplify]: Extracting #9: cost 105 inf + 35013
402.317 * * [simplify]: Extracting #10: cost 51 inf + 57225
402.330 * * [simplify]: Extracting #11: cost 32 inf + 71698
402.357 * * [simplify]: Extracting #12: cost 2 inf + 104168
402.377 * * [simplify]: Extracting #13: cost 0 inf + 107698
402.416 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))
402.416 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
402.417 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
402.418 * * [simplify]: iters left: 6 (23 enodes)
402.425 * * [simplify]: iters left: 5 (104 enodes)
402.445 * * [simplify]: iters left: 4 (311 enodes)
402.618 * * [simplify]: Extracting #0: cost 1 inf + 0
402.618 * * [simplify]: Extracting #1: cost 3 inf + 0
402.618 * * [simplify]: Extracting #2: cost 38 inf + 0
402.619 * * [simplify]: Extracting #3: cost 279 inf + 0
402.620 * * [simplify]: Extracting #4: cost 436 inf + 43
402.623 * * [simplify]: Extracting #5: cost 455 inf + 8050
402.654 * * [simplify]: Extracting #6: cost 162 inf + 111956
402.709 * * [simplify]: Extracting #7: cost 2 inf + 178529
402.769 * * [simplify]: Extracting #8: cost 0 inf + 178413
402.838 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))
402.838 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))))))
402.839 * * * * [progress]: [ 515 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
402.839 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
402.839 * * [simplify]: iters left: 6 (49 enodes)
402.854 * * [simplify]: iters left: 5 (240 enodes)
402.905 * * [simplify]: Extracting #0: cost 1 inf + 0
402.905 * * [simplify]: Extracting #1: cost 3 inf + 0
402.906 * * [simplify]: Extracting #2: cost 6 inf + 0
402.906 * * [simplify]: Extracting #3: cost 58 inf + 0
402.906 * * [simplify]: Extracting #4: cost 143 inf + 0
402.906 * * [simplify]: Extracting #5: cost 200 inf + 85
402.908 * * [simplify]: Extracting #6: cost 235 inf + 4568
402.910 * * [simplify]: Extracting #7: cost 199 inf + 13971
402.921 * * [simplify]: Extracting #8: cost 113 inf + 37576
402.942 * * [simplify]: Extracting #9: cost 50 inf + 63147
402.969 * * [simplify]: Extracting #10: cost 9 inf + 100770
402.995 * * [simplify]: Extracting #11: cost 0 inf + 110555
403.020 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))) (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))))))
403.020 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))) (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
403.021 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
403.021 * * [simplify]: iters left: 6 (24 enodes)
403.028 * * [simplify]: iters left: 5 (108 enodes)
403.060 * * [simplify]: iters left: 4 (308 enodes)
403.238 * * [simplify]: Extracting #0: cost 1 inf + 0
403.238 * * [simplify]: Extracting #1: cost 3 inf + 0
403.238 * * [simplify]: Extracting #2: cost 63 inf + 0
403.239 * * [simplify]: Extracting #3: cost 299 inf + 0
403.241 * * [simplify]: Extracting #4: cost 378 inf + 453
403.245 * * [simplify]: Extracting #5: cost 363 inf + 18010
403.265 * * [simplify]: Extracting #6: cost 132 inf + 102478
403.310 * * [simplify]: Extracting #7: cost 2 inf + 156400
403.383 * * [simplify]: Extracting #8: cost 0 inf + 157286
403.455 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)))))
403.455 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))) (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))))))))
403.456 * * * * [progress]: [ 516 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
403.456 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
403.457 * * [simplify]: iters left: 6 (49 enodes)
403.482 * * [simplify]: iters left: 5 (240 enodes)
403.585 * * [simplify]: Extracting #0: cost 1 inf + 0
403.585 * * [simplify]: Extracting #1: cost 3 inf + 0
403.585 * * [simplify]: Extracting #2: cost 6 inf + 0
403.585 * * [simplify]: Extracting #3: cost 60 inf + 0
403.585 * * [simplify]: Extracting #4: cost 141 inf + 0
403.586 * * [simplify]: Extracting #5: cost 195 inf + 166
403.589 * * [simplify]: Extracting #6: cost 227 inf + 6093
403.594 * * [simplify]: Extracting #7: cost 196 inf + 14952
403.604 * * [simplify]: Extracting #8: cost 134 inf + 30777
403.618 * * [simplify]: Extracting #9: cost 86 inf + 48673
403.641 * * [simplify]: Extracting #10: cost 49 inf + 61882
403.664 * * [simplify]: Extracting #11: cost 34 inf + 70857
403.697 * * [simplify]: Extracting #12: cost 6 inf + 100117
403.738 * * [simplify]: Extracting #13: cost 0 inf + 107987
403.769 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))))))
403.769 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
403.770 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
403.770 * * [simplify]: iters left: 6 (24 enodes)
403.776 * * [simplify]: iters left: 5 (108 enodes)
403.807 * * [simplify]: iters left: 4 (306 enodes)
403.972 * * [simplify]: Extracting #0: cost 1 inf + 0
403.972 * * [simplify]: Extracting #1: cost 3 inf + 0
403.972 * * [simplify]: Extracting #2: cost 55 inf + 0
403.973 * * [simplify]: Extracting #3: cost 276 inf + 0
403.974 * * [simplify]: Extracting #4: cost 347 inf + 817
403.979 * * [simplify]: Extracting #5: cost 336 inf + 16506
404.005 * * [simplify]: Extracting #6: cost 132 inf + 91747
404.053 * * [simplify]: Extracting #7: cost 3 inf + 139646
404.115 * * [simplify]: Extracting #8: cost 0 inf + 141658
404.179 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))
404.179 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))))))))
404.180 * * * * [progress]: [ 517 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
404.180 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
404.181 * * [simplify]: iters left: 6 (43 enodes)
404.203 * * [simplify]: iters left: 5 (204 enodes)
404.287 * * [simplify]: Extracting #0: cost 1 inf + 0
404.287 * * [simplify]: Extracting #1: cost 3 inf + 0
404.288 * * [simplify]: Extracting #2: cost 6 inf + 0
404.288 * * [simplify]: Extracting #3: cost 52 inf + 0
404.288 * * [simplify]: Extracting #4: cost 109 inf + 0
404.289 * * [simplify]: Extracting #5: cost 144 inf + 126
404.290 * * [simplify]: Extracting #6: cost 198 inf + 1964
404.293 * * [simplify]: Extracting #7: cost 187 inf + 5057
404.298 * * [simplify]: Extracting #8: cost 136 inf + 14484
404.308 * * [simplify]: Extracting #9: cost 90 inf + 33255
404.324 * * [simplify]: Extracting #10: cost 44 inf + 48706
404.343 * * [simplify]: Extracting #11: cost 29 inf + 57001
404.359 * * [simplify]: Extracting #12: cost 4 inf + 80786
404.381 * * [simplify]: Extracting #13: cost 0 inf + 85926
404.412 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1)))))))
404.413 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
404.414 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))
404.414 * * [simplify]: iters left: 6 (19 enodes)
404.422 * * [simplify]: iters left: 5 (86 enodes)
404.451 * * [simplify]: iters left: 4 (236 enodes)
404.562 * * [simplify]: Extracting #0: cost 1 inf + 0
404.562 * * [simplify]: Extracting #1: cost 3 inf + 0
404.562 * * [simplify]: Extracting #2: cost 32 inf + 0
404.563 * * [simplify]: Extracting #3: cost 144 inf + 0
404.564 * * [simplify]: Extracting #4: cost 184 inf + 698
404.567 * * [simplify]: Extracting #5: cost 213 inf + 7810
404.576 * * [simplify]: Extracting #6: cost 132 inf + 32843
404.595 * * [simplify]: Extracting #7: cost 18 inf + 67340
404.614 * * [simplify]: Extracting #8: cost 0 inf + 72743
404.631 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))
404.631 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))))
404.632 * * * * [progress]: [ 518 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
404.632 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
404.632 * * [simplify]: iters left: 6 (48 enodes)
404.652 * * [simplify]: iters left: 5 (232 enodes)
404.750 * * [simplify]: Extracting #0: cost 1 inf + 0
404.750 * * [simplify]: Extracting #1: cost 3 inf + 0
404.750 * * [simplify]: Extracting #2: cost 10 inf + 0
404.750 * * [simplify]: Extracting #3: cost 72 inf + 0
404.751 * * [simplify]: Extracting #4: cost 126 inf + 42
404.752 * * [simplify]: Extracting #5: cost 167 inf + 207
404.754 * * [simplify]: Extracting #6: cost 221 inf + 2450
404.757 * * [simplify]: Extracting #7: cost 201 inf + 9374
404.763 * * [simplify]: Extracting #8: cost 151 inf + 19333
404.773 * * [simplify]: Extracting #9: cost 106 inf + 33056
404.790 * * [simplify]: Extracting #10: cost 52 inf + 53997
404.812 * * [simplify]: Extracting #11: cost 30 inf + 68027
404.845 * * [simplify]: Extracting #12: cost 4 inf + 94557
404.886 * * [simplify]: Extracting #13: cost 0 inf + 100817
404.924 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))
404.924 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
404.925 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
404.926 * * [simplify]: iters left: 6 (22 enodes)
404.936 * * [simplify]: iters left: 5 (99 enodes)
404.974 * * [simplify]: iters left: 4 (253 enodes)
405.068 * * [simplify]: Extracting #0: cost 1 inf + 0
405.068 * * [simplify]: Extracting #1: cost 3 inf + 0
405.068 * * [simplify]: Extracting #2: cost 28 inf + 0
405.068 * * [simplify]: Extracting #3: cost 105 inf + 0
405.069 * * [simplify]: Extracting #4: cost 172 inf + 372
405.070 * * [simplify]: Extracting #5: cost 234 inf + 1112
405.073 * * [simplify]: Extracting #6: cost 171 inf + 19664
405.090 * * [simplify]: Extracting #7: cost 21 inf + 64647
405.109 * * [simplify]: Extracting #8: cost 0 inf + 71111
405.133 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))
405.133 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
405.134 * * * * [progress]: [ 519 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
405.134 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
405.135 * * [simplify]: iters left: 6 (43 enodes)
405.146 * * [simplify]: iters left: 5 (204 enodes)
405.222 * * [simplify]: Extracting #0: cost 1 inf + 0
405.222 * * [simplify]: Extracting #1: cost 3 inf + 0
405.222 * * [simplify]: Extracting #2: cost 10 inf + 0
405.222 * * [simplify]: Extracting #3: cost 64 inf + 0
405.223 * * [simplify]: Extracting #4: cost 107 inf + 44
405.224 * * [simplify]: Extracting #5: cost 130 inf + 1187
405.225 * * [simplify]: Extracting #6: cost 191 inf + 2772
405.228 * * [simplify]: Extracting #7: cost 185 inf + 5860
405.236 * * [simplify]: Extracting #8: cost 101 inf + 28089
405.251 * * [simplify]: Extracting #9: cost 45 inf + 48397
405.261 * * [simplify]: Extracting #10: cost 24 inf + 59282
405.276 * * [simplify]: Extracting #11: cost 2 inf + 78886
405.300 * * [simplify]: Extracting #12: cost 0 inf + 81976
405.335 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))
405.335 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
405.336 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
405.336 * * [simplify]: iters left: 6 (18 enodes)
405.344 * * [simplify]: iters left: 5 (81 enodes)
405.373 * * [simplify]: iters left: 4 (196 enodes)
405.455 * * [simplify]: Extracting #0: cost 1 inf + 0
405.455 * * [simplify]: Extracting #1: cost 3 inf + 0
405.455 * * [simplify]: Extracting #2: cost 18 inf + 0
405.456 * * [simplify]: Extracting #3: cost 44 inf + 0
405.456 * * [simplify]: Extracting #4: cost 83 inf + 2
405.456 * * [simplify]: Extracting #5: cost 154 inf + 88
405.458 * * [simplify]: Extracting #6: cost 126 inf + 5617
405.464 * * [simplify]: Extracting #7: cost 27 inf + 29998
405.480 * * [simplify]: Extracting #8: cost 1 inf + 36461
405.499 * * [simplify]: Extracting #9: cost 0 inf + 36743
405.518 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
405.518 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ phi1 phi2) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))))
405.519 * * * * [progress]: [ 520 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
405.520 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
405.520 * * [simplify]: iters left: 6 (48 enodes)
405.546 * * [simplify]: iters left: 5 (232 enodes)
405.629 * * [simplify]: Extracting #0: cost 1 inf + 0
405.629 * * [simplify]: Extracting #1: cost 3 inf + 0
405.629 * * [simplify]: Extracting #2: cost 10 inf + 0
405.629 * * [simplify]: Extracting #3: cost 72 inf + 0
405.630 * * [simplify]: Extracting #4: cost 126 inf + 42
405.631 * * [simplify]: Extracting #5: cost 166 inf + 249
405.632 * * [simplify]: Extracting #6: cost 222 inf + 2570
405.636 * * [simplify]: Extracting #7: cost 203 inf + 8557
405.641 * * [simplify]: Extracting #8: cost 143 inf + 21966
405.655 * * [simplify]: Extracting #9: cost 63 inf + 47955
405.666 * * [simplify]: Extracting #10: cost 30 inf + 69307
405.688 * * [simplify]: Extracting #11: cost 4 inf + 95837
405.726 * * [simplify]: Extracting #12: cost 0 inf + 102097
405.751 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))
405.751 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
405.752 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
405.752 * * [simplify]: iters left: 6 (22 enodes)
405.757 * * [simplify]: iters left: 5 (99 enodes)
405.781 * * [simplify]: iters left: 4 (253 enodes)
405.933 * * [simplify]: Extracting #0: cost 1 inf + 0
405.934 * * [simplify]: Extracting #1: cost 3 inf + 0
405.934 * * [simplify]: Extracting #2: cost 28 inf + 0
405.934 * * [simplify]: Extracting #3: cost 105 inf + 0
405.935 * * [simplify]: Extracting #4: cost 172 inf + 372
405.937 * * [simplify]: Extracting #5: cost 234 inf + 1112
405.947 * * [simplify]: Extracting #6: cost 171 inf + 19664
405.960 * * [simplify]: Extracting #7: cost 21 inf + 64647
405.979 * * [simplify]: Extracting #8: cost 0 inf + 71111
406.011 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))
406.011 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
406.012 * * * * [progress]: [ 521 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
406.013 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
406.013 * * [simplify]: iters left: 6 (43 enodes)
406.036 * * [simplify]: iters left: 5 (204 enodes)
406.091 * * [simplify]: Extracting #0: cost 1 inf + 0
406.091 * * [simplify]: Extracting #1: cost 3 inf + 0
406.091 * * [simplify]: Extracting #2: cost 10 inf + 0
406.091 * * [simplify]: Extracting #3: cost 63 inf + 0
406.092 * * [simplify]: Extracting #4: cost 107 inf + 44
406.092 * * [simplify]: Extracting #5: cost 132 inf + 862
406.094 * * [simplify]: Extracting #6: cost 190 inf + 2934
406.096 * * [simplify]: Extracting #7: cost 189 inf + 5091
406.100 * * [simplify]: Extracting #8: cost 140 inf + 13595
406.109 * * [simplify]: Extracting #9: cost 88 inf + 31589
406.123 * * [simplify]: Extracting #10: cost 39 inf + 50187
406.141 * * [simplify]: Extracting #11: cost 24 inf + 58296
406.164 * * [simplify]: Extracting #12: cost 2 inf + 79286
406.183 * * [simplify]: Extracting #13: cost 0 inf + 82376
406.199 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))))))))
406.199 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* lambda2 (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
406.200 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
406.200 * * [simplify]: iters left: 6 (18 enodes)
406.204 * * [simplify]: iters left: 5 (81 enodes)
406.220 * * [simplify]: iters left: 4 (196 enodes)
406.323 * * [simplify]: Extracting #0: cost 1 inf + 0
406.323 * * [simplify]: Extracting #1: cost 3 inf + 0
406.323 * * [simplify]: Extracting #2: cost 18 inf + 0
406.324 * * [simplify]: Extracting #3: cost 44 inf + 0
406.324 * * [simplify]: Extracting #4: cost 83 inf + 2
406.325 * * [simplify]: Extracting #5: cost 154 inf + 88
406.327 * * [simplify]: Extracting #6: cost 126 inf + 5617
406.340 * * [simplify]: Extracting #7: cost 27 inf + 29998
406.355 * * [simplify]: Extracting #8: cost 1 inf + 36461
406.370 * * [simplify]: Extracting #9: cost 0 inf + 36743
406.380 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
406.380 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (+ phi1 phi2) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))))
406.381 * * * * [progress]: [ 522 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
406.381 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
406.381 * * [simplify]: iters left: 6 (47 enodes)
406.394 * * [simplify]: iters left: 5 (233 enodes)
406.459 * * [simplify]: Extracting #0: cost 1 inf + 0
406.459 * * [simplify]: Extracting #1: cost 3 inf + 0
406.459 * * [simplify]: Extracting #2: cost 6 inf + 0
406.459 * * [simplify]: Extracting #3: cost 54 inf + 0
406.459 * * [simplify]: Extracting #4: cost 120 inf + 0
406.460 * * [simplify]: Extracting #5: cost 191 inf + 0
406.460 * * [simplify]: Extracting #6: cost 273 inf + 845
406.462 * * [simplify]: Extracting #7: cost 243 inf + 9724
406.465 * * [simplify]: Extracting #8: cost 159 inf + 26059
406.474 * * [simplify]: Extracting #9: cost 80 inf + 54232
406.490 * * [simplify]: Extracting #10: cost 34 inf + 75840
406.509 * * [simplify]: Extracting #11: cost 6 inf + 101060
406.538 * * [simplify]: Extracting #12: cost 0 inf + 109410
406.582 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))
406.582 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
406.583 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
406.584 * * [simplify]: iters left: 6 (24 enodes)
406.592 * * [simplify]: iters left: 5 (114 enodes)
406.619 * * [simplify]: iters left: 4 (371 enodes)
406.810 * * [simplify]: Extracting #0: cost 1 inf + 0
406.810 * * [simplify]: Extracting #1: cost 3 inf + 0
406.810 * * [simplify]: Extracting #2: cost 41 inf + 0
406.811 * * [simplify]: Extracting #3: cost 285 inf + 0
406.814 * * [simplify]: Extracting #4: cost 461 inf + 572
406.822 * * [simplify]: Extracting #5: cost 454 inf + 16656
406.871 * * [simplify]: Extracting #6: cost 228 inf + 113843
406.971 * * [simplify]: Extracting #7: cost 12 inf + 210957
407.033 * * [simplify]: Extracting #8: cost 0 inf + 208638
407.104 * * [simplify]: Extracting #9: cost 0 inf + 207758
407.190 * * [simplify]: Extracting #10: cost 0 inf + 207718
407.248 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))
407.248 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))))
407.249 * * * * [progress]: [ 523 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
407.249 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
407.249 * * [simplify]: iters left: 6 (48 enodes)
407.263 * * [simplify]: iters left: 5 (242 enodes)
407.345 * * [simplify]: Extracting #0: cost 1 inf + 0
407.345 * * [simplify]: Extracting #1: cost 3 inf + 0
407.345 * * [simplify]: Extracting #2: cost 6 inf + 0
407.346 * * [simplify]: Extracting #3: cost 58 inf + 0
407.346 * * [simplify]: Extracting #4: cost 143 inf + 0
407.347 * * [simplify]: Extracting #5: cost 203 inf + 127
407.349 * * [simplify]: Extracting #6: cost 261 inf + 4758
407.354 * * [simplify]: Extracting #7: cost 222 inf + 16603
407.363 * * [simplify]: Extracting #8: cost 152 inf + 25871
407.375 * * [simplify]: Extracting #9: cost 95 inf + 45467
407.392 * * [simplify]: Extracting #10: cost 34 inf + 78942
407.419 * * [simplify]: Extracting #11: cost 3 inf + 108872
407.449 * * [simplify]: Extracting #12: cost 0 inf + 112667
407.473 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))))
407.473 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
407.473 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
407.474 * * [simplify]: iters left: 6 (25 enodes)
407.480 * * [simplify]: iters left: 5 (118 enodes)
407.518 * * [simplify]: iters left: 4 (368 enodes)
407.762 * * [simplify]: Extracting #0: cost 1 inf + 0
407.762 * * [simplify]: Extracting #1: cost 3 inf + 0
407.762 * * [simplify]: Extracting #2: cost 64 inf + 0
407.763 * * [simplify]: Extracting #3: cost 297 inf + 0
407.767 * * [simplify]: Extracting #4: cost 397 inf + 1265
407.773 * * [simplify]: Extracting #5: cost 433 inf + 6894
407.796 * * [simplify]: Extracting #6: cost 215 inf + 100666
407.878 * * [simplify]: Extracting #7: cost 4 inf + 194151
407.949 * * [simplify]: Extracting #8: cost 0 inf + 185399
408.021 * [simplify]: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))
408.021 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))))))
408.022 * * * * [progress]: [ 524 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
408.022 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
408.022 * * [simplify]: iters left: 6 (48 enodes)
408.035 * * [simplify]: iters left: 5 (242 enodes)
408.129 * * [simplify]: Extracting #0: cost 1 inf + 0
408.129 * * [simplify]: Extracting #1: cost 3 inf + 0
408.129 * * [simplify]: Extracting #2: cost 6 inf + 0
408.130 * * [simplify]: Extracting #3: cost 60 inf + 0
408.130 * * [simplify]: Extracting #4: cost 141 inf + 0
408.131 * * [simplify]: Extracting #5: cost 198 inf + 169
408.133 * * [simplify]: Extracting #6: cost 262 inf + 2666
408.138 * * [simplify]: Extracting #7: cost 223 inf + 14701
408.148 * * [simplify]: Extracting #8: cost 122 inf + 36954
408.177 * * [simplify]: Extracting #9: cost 31 inf + 86449
408.225 * * [simplify]: Extracting #10: cost 5 inf + 108080
408.274 * * [simplify]: Extracting #11: cost 0 inf + 113539
408.298 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))))
408.298 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
408.299 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
408.299 * * [simplify]: iters left: 6 (25 enodes)
408.304 * * [simplify]: iters left: 5 (118 enodes)
408.349 * * [simplify]: iters left: 4 (366 enodes)
408.641 * * [simplify]: Extracting #0: cost 1 inf + 0
408.641 * * [simplify]: Extracting #1: cost 3 inf + 0
408.642 * * [simplify]: Extracting #2: cost 56 inf + 0
408.643 * * [simplify]: Extracting #3: cost 281 inf + 0
408.644 * * [simplify]: Extracting #4: cost 379 inf + 496
408.647 * * [simplify]: Extracting #5: cost 403 inf + 7592
408.657 * * [simplify]: Extracting #6: cost 275 inf + 48862
408.712 * * [simplify]: Extracting #7: cost 45 inf + 160913
408.809 * * [simplify]: Extracting #8: cost 0 inf + 175799
408.855 * * [simplify]: Extracting #9: cost 0 inf + 171119
408.902 * [simplify]: Simplified to (sqrt (* (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))
408.903 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))))) (sqrt (* (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))))
408.903 * * * * [progress]: [ 525 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
408.904 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
408.904 * * [simplify]: iters left: 6 (42 enodes)
408.915 * * [simplify]: iters left: 5 (206 enodes)
408.958 * * [simplify]: Extracting #0: cost 1 inf + 0
408.958 * * [simplify]: Extracting #1: cost 3 inf + 0
408.958 * * [simplify]: Extracting #2: cost 6 inf + 0
408.958 * * [simplify]: Extracting #3: cost 52 inf + 0
408.958 * * [simplify]: Extracting #4: cost 109 inf + 0
408.959 * * [simplify]: Extracting #5: cost 149 inf + 44
408.959 * * [simplify]: Extracting #6: cost 220 inf + 1030
408.961 * * [simplify]: Extracting #7: cost 215 inf + 3226
408.963 * * [simplify]: Extracting #8: cost 162 inf + 11009
408.970 * * [simplify]: Extracting #9: cost 97 inf + 32155
408.990 * * [simplify]: Extracting #10: cost 31 inf + 64169
409.022 * * [simplify]: Extracting #11: cost 4 inf + 84498
409.059 * * [simplify]: Extracting #12: cost 0 inf + 88598
409.079 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))))))))
409.080 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
409.080 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))
409.080 * * [simplify]: iters left: 6 (20 enodes)
409.085 * * [simplify]: iters left: 5 (96 enodes)
409.109 * * [simplify]: iters left: 4 (296 enodes)
409.238 * * [simplify]: Extracting #0: cost 1 inf + 0
409.238 * * [simplify]: Extracting #1: cost 3 inf + 0
409.238 * * [simplify]: Extracting #2: cost 29 inf + 0
409.238 * * [simplify]: Extracting #3: cost 137 inf + 0
409.239 * * [simplify]: Extracting #4: cost 204 inf + 454
409.240 * * [simplify]: Extracting #5: cost 256 inf + 3418
409.246 * * [simplify]: Extracting #6: cost 171 inf + 29002
409.272 * * [simplify]: Extracting #7: cost 14 inf + 83222
409.306 * * [simplify]: Extracting #8: cost 0 inf + 84749
409.334 * * [simplify]: Extracting #9: cost 0 inf + 83829
409.363 * * [simplify]: Extracting #10: cost 0 inf + 83789
409.394 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))
409.395 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))))
409.395 * * * * [progress]: [ 526 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
409.396 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
409.396 * * [simplify]: iters left: 6 (47 enodes)
409.409 * * [simplify]: iters left: 5 (234 enodes)
409.495 * * [simplify]: Extracting #0: cost 1 inf + 0
409.495 * * [simplify]: Extracting #1: cost 3 inf + 0
409.495 * * [simplify]: Extracting #2: cost 10 inf + 0
409.496 * * [simplify]: Extracting #3: cost 72 inf + 0
409.496 * * [simplify]: Extracting #4: cost 126 inf + 42
409.497 * * [simplify]: Extracting #5: cost 169 inf + 290
409.500 * * [simplify]: Extracting #6: cost 238 inf + 2567
409.503 * * [simplify]: Extracting #7: cost 222 inf + 8758
409.510 * * [simplify]: Extracting #8: cost 145 inf + 23334
409.528 * * [simplify]: Extracting #9: cost 90 inf + 44281
409.554 * * [simplify]: Extracting #10: cost 35 inf + 71654
409.583 * * [simplify]: Extracting #11: cost 6 inf + 95579
409.605 * * [simplify]: Extracting #12: cost 0 inf + 104169
409.640 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
409.641 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
409.642 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
409.642 * * [simplify]: iters left: 6 (23 enodes)
409.654 * * [simplify]: iters left: 5 (109 enodes)
409.698 * * [simplify]: iters left: 4 (313 enodes)
409.877 * * [simplify]: Extracting #0: cost 1 inf + 0
409.877 * * [simplify]: Extracting #1: cost 3 inf + 0
409.877 * * [simplify]: Extracting #2: cost 28 inf + 0
409.878 * * [simplify]: Extracting #3: cost 107 inf + 0
409.879 * * [simplify]: Extracting #4: cost 204 inf + 85
409.882 * * [simplify]: Extracting #5: cost 275 inf + 618
409.893 * * [simplify]: Extracting #6: cost 195 inf + 28518
409.943 * * [simplify]: Extracting #7: cost 10 inf + 91171
409.970 * * [simplify]: Extracting #8: cost 0 inf + 89604
410.010 * * [simplify]: Extracting #9: cost 0 inf + 88644
410.061 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))
410.061 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
410.062 * * * * [progress]: [ 527 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
410.062 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
410.063 * * [simplify]: iters left: 6 (42 enodes)
410.089 * * [simplify]: iters left: 5 (206 enodes)
410.155 * * [simplify]: Extracting #0: cost 1 inf + 0
410.156 * * [simplify]: Extracting #1: cost 3 inf + 0
410.156 * * [simplify]: Extracting #2: cost 10 inf + 0
410.156 * * [simplify]: Extracting #3: cost 64 inf + 0
410.156 * * [simplify]: Extracting #4: cost 105 inf + 208
410.157 * * [simplify]: Extracting #5: cost 128 inf + 1958
410.157 * * [simplify]: Extracting #6: cost 205 inf + 2932
410.159 * * [simplify]: Extracting #7: cost 212 inf + 3508
410.161 * * [simplify]: Extracting #8: cost 153 inf + 15314
410.175 * * [simplify]: Extracting #9: cost 73 inf + 42719
410.199 * * [simplify]: Extracting #10: cost 32 inf + 63949
410.233 * * [simplify]: Extracting #11: cost 6 inf + 81866
410.269 * * [simplify]: Extracting #12: cost 0 inf + 87168
410.304 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- phi1 phi2))) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))))
410.304 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (- phi1 phi2))) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
410.305 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
410.306 * * [simplify]: iters left: 6 (19 enodes)
410.314 * * [simplify]: iters left: 5 (91 enodes)
410.331 * * [simplify]: iters left: 4 (256 enodes)
410.414 * * [simplify]: Extracting #0: cost 1 inf + 0
410.414 * * [simplify]: Extracting #1: cost 3 inf + 0
410.414 * * [simplify]: Extracting #2: cost 18 inf + 0
410.414 * * [simplify]: Extracting #3: cost 44 inf + 0
410.414 * * [simplify]: Extracting #4: cost 109 inf + 2
410.415 * * [simplify]: Extracting #5: cost 185 inf + 44
410.423 * * [simplify]: Extracting #6: cost 125 inf + 15180
410.446 * * [simplify]: Extracting #7: cost 8 inf + 45762
410.472 * * [simplify]: Extracting #8: cost 0 inf + 45382
410.490 * * [simplify]: Extracting #9: cost 0 inf + 45262
410.503 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (+ phi1 phi2)))
410.503 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (+ phi1 phi2))))))
410.504 * * * * [progress]: [ 528 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
410.504 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
410.505 * * [simplify]: iters left: 6 (47 enodes)
410.520 * * [simplify]: iters left: 5 (234 enodes)
410.592 * * [simplify]: Extracting #0: cost 1 inf + 0
410.592 * * [simplify]: Extracting #1: cost 3 inf + 0
410.592 * * [simplify]: Extracting #2: cost 10 inf + 0
410.592 * * [simplify]: Extracting #3: cost 72 inf + 0
410.592 * * [simplify]: Extracting #4: cost 126 inf + 42
410.593 * * [simplify]: Extracting #5: cost 167 inf + 494
410.594 * * [simplify]: Extracting #6: cost 234 inf + 3334
410.596 * * [simplify]: Extracting #7: cost 222 inf + 8718
410.600 * * [simplify]: Extracting #8: cost 142 inf + 24120
410.607 * * [simplify]: Extracting #9: cost 90 inf + 45001
410.620 * * [simplify]: Extracting #10: cost 36 inf + 72109
410.657 * * [simplify]: Extracting #11: cost 6 inf + 96539
410.700 * * [simplify]: Extracting #12: cost 0 inf + 105129
410.742 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
410.742 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
410.743 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
410.743 * * [simplify]: iters left: 6 (23 enodes)
410.754 * * [simplify]: iters left: 5 (109 enodes)
410.789 * * [simplify]: iters left: 4 (313 enodes)
410.914 * * [simplify]: Extracting #0: cost 1 inf + 0
410.915 * * [simplify]: Extracting #1: cost 3 inf + 0
410.915 * * [simplify]: Extracting #2: cost 28 inf + 0
410.915 * * [simplify]: Extracting #3: cost 107 inf + 0
410.916 * * [simplify]: Extracting #4: cost 204 inf + 85
410.919 * * [simplify]: Extracting #5: cost 275 inf + 618
410.930 * * [simplify]: Extracting #6: cost 195 inf + 28518
410.962 * * [simplify]: Extracting #7: cost 10 inf + 91171
411.001 * * [simplify]: Extracting #8: cost 0 inf + 89604
411.039 * * [simplify]: Extracting #9: cost 0 inf + 88644
411.091 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))
411.091 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
411.093 * * * * [progress]: [ 529 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
411.093 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
411.094 * * [simplify]: iters left: 6 (42 enodes)
411.118 * * [simplify]: iters left: 5 (206 enodes)
411.205 * * [simplify]: Extracting #0: cost 1 inf + 0
411.205 * * [simplify]: Extracting #1: cost 3 inf + 0
411.205 * * [simplify]: Extracting #2: cost 10 inf + 0
411.205 * * [simplify]: Extracting #3: cost 63 inf + 0
411.206 * * [simplify]: Extracting #4: cost 106 inf + 86
411.207 * * [simplify]: Extracting #5: cost 130 inf + 1594
411.209 * * [simplify]: Extracting #6: cost 205 inf + 2932
411.211 * * [simplify]: Extracting #7: cost 211 inf + 3589
411.216 * * [simplify]: Extracting #8: cost 152 inf + 15739
411.230 * * [simplify]: Extracting #9: cost 74 inf + 42134
411.246 * * [simplify]: Extracting #10: cost 33 inf + 63465
411.263 * * [simplify]: Extracting #11: cost 8 inf + 81138
411.285 * * [simplify]: Extracting #12: cost 0 inf + 87568
411.323 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))))
411.323 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
411.324 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
411.325 * * [simplify]: iters left: 6 (19 enodes)
411.333 * * [simplify]: iters left: 5 (91 enodes)
411.367 * * [simplify]: iters left: 4 (256 enodes)
411.467 * * [simplify]: Extracting #0: cost 1 inf + 0
411.467 * * [simplify]: Extracting #1: cost 3 inf + 0
411.467 * * [simplify]: Extracting #2: cost 18 inf + 0
411.467 * * [simplify]: Extracting #3: cost 44 inf + 0
411.468 * * [simplify]: Extracting #4: cost 109 inf + 2
411.468 * * [simplify]: Extracting #5: cost 185 inf + 44
411.473 * * [simplify]: Extracting #6: cost 125 inf + 15180
411.496 * * [simplify]: Extracting #7: cost 8 inf + 45762
411.526 * * [simplify]: Extracting #8: cost 0 inf + 45382
411.552 * * [simplify]: Extracting #9: cost 0 inf + 45262
411.576 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (+ phi1 phi2)))
411.576 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (+ phi1 phi2))))))
411.577 * * * * [progress]: [ 530 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
411.577 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
411.578 * * [simplify]: iters left: 6 (47 enodes)
411.600 * * [simplify]: iters left: 5 (229 enodes)
411.689 * * [simplify]: Extracting #0: cost 1 inf + 0
411.689 * * [simplify]: Extracting #1: cost 3 inf + 0
411.689 * * [simplify]: Extracting #2: cost 6 inf + 0
411.689 * * [simplify]: Extracting #3: cost 48 inf + 0
411.690 * * [simplify]: Extracting #4: cost 112 inf + 0
411.690 * * [simplify]: Extracting #5: cost 183 inf + 0
411.692 * * [simplify]: Extracting #6: cost 268 inf + 169
411.694 * * [simplify]: Extracting #7: cost 258 inf + 4126
411.700 * * [simplify]: Extracting #8: cost 168 inf + 20651
411.711 * * [simplify]: Extracting #9: cost 101 inf + 38828
411.730 * * [simplify]: Extracting #10: cost 40 inf + 69016
411.760 * * [simplify]: Extracting #11: cost 9 inf + 97911
411.799 * * [simplify]: Extracting #12: cost 0 inf + 109376
411.843 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))))
411.843 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
411.845 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
411.845 * * [simplify]: iters left: 6 (24 enodes)
411.859 * * [simplify]: iters left: 5 (112 enodes)
411.907 * * [simplify]: iters left: 4 (363 enodes)
412.180 * * [simplify]: Extracting #0: cost 1 inf + 0
412.181 * * [simplify]: Extracting #1: cost 3 inf + 0
412.181 * * [simplify]: Extracting #2: cost 37 inf + 0
412.182 * * [simplify]: Extracting #3: cost 258 inf + 0
412.184 * * [simplify]: Extracting #4: cost 448 inf + 166
412.191 * * [simplify]: Extracting #5: cost 460 inf + 11649
412.234 * * [simplify]: Extracting #6: cost 207 inf + 115318
412.334 * * [simplify]: Extracting #7: cost 11 inf + 203536
412.438 * * [simplify]: Extracting #8: cost 0 inf + 199535
412.538 * * [simplify]: Extracting #9: cost 0 inf + 198735
412.639 * * [simplify]: Extracting #10: cost 0 inf + 198695
412.737 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
412.737 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))))
412.738 * * * * [progress]: [ 531 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
412.739 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
412.740 * * [simplify]: iters left: 6 (48 enodes)
412.765 * * [simplify]: iters left: 5 (238 enodes)
412.870 * * [simplify]: Extracting #0: cost 1 inf + 0
412.870 * * [simplify]: Extracting #1: cost 3 inf + 0
412.870 * * [simplify]: Extracting #2: cost 6 inf + 0
412.871 * * [simplify]: Extracting #3: cost 52 inf + 0
412.871 * * [simplify]: Extracting #4: cost 135 inf + 0
412.872 * * [simplify]: Extracting #5: cost 193 inf + 370
412.875 * * [simplify]: Extracting #6: cost 240 inf + 5730
412.880 * * [simplify]: Extracting #7: cost 219 inf + 13463
412.893 * * [simplify]: Extracting #8: cost 114 inf + 37784
412.915 * * [simplify]: Extracting #9: cost 41 inf + 69065
412.950 * * [simplify]: Extracting #10: cost 7 inf + 100161
412.971 * * [simplify]: Extracting #11: cost 0 inf + 107193
413.003 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
413.003 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
413.005 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
413.005 * * [simplify]: iters left: 6 (25 enodes)
413.017 * * [simplify]: iters left: 5 (116 enodes)
413.048 * * [simplify]: iters left: 4 (360 enodes)
413.263 * * [simplify]: Extracting #0: cost 1 inf + 0
413.263 * * [simplify]: Extracting #1: cost 3 inf + 0
413.263 * * [simplify]: Extracting #2: cost 59 inf + 0
413.264 * * [simplify]: Extracting #3: cost 271 inf + 0
413.267 * * [simplify]: Extracting #4: cost 388 inf + 166
413.272 * * [simplify]: Extracting #5: cost 428 inf + 5431
413.298 * * [simplify]: Extracting #6: cost 193 inf + 106489
413.376 * * [simplify]: Extracting #7: cost 9 inf + 182544
413.464 * * [simplify]: Extracting #8: cost 0 inf + 176574
413.557 * * [simplify]: Extracting #9: cost 0 inf + 176094
413.618 * [simplify]: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))
413.618 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))))))
413.619 * * * * [progress]: [ 532 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
413.620 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
413.620 * * [simplify]: iters left: 6 (48 enodes)
413.645 * * [simplify]: iters left: 5 (238 enodes)
413.724 * * [simplify]: Extracting #0: cost 1 inf + 0
413.724 * * [simplify]: Extracting #1: cost 3 inf + 0
413.724 * * [simplify]: Extracting #2: cost 6 inf + 0
413.724 * * [simplify]: Extracting #3: cost 54 inf + 0
413.724 * * [simplify]: Extracting #4: cost 133 inf + 0
413.725 * * [simplify]: Extracting #5: cost 189 inf + 210
413.726 * * [simplify]: Extracting #6: cost 246 inf + 3671
413.728 * * [simplify]: Extracting #7: cost 222 inf + 12098
413.732 * * [simplify]: Extracting #8: cost 142 inf + 28531
413.742 * * [simplify]: Extracting #9: cost 56 inf + 61270
413.765 * * [simplify]: Extracting #10: cost 11 inf + 97274
413.806 * * [simplify]: Extracting #11: cost 0 inf + 106785
413.847 * * [simplify]: Extracting #12: cost 0 inf + 106425
413.889 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))
413.889 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
413.890 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
413.891 * * [simplify]: iters left: 6 (25 enodes)
413.901 * * [simplify]: iters left: 5 (116 enodes)
413.926 * * [simplify]: iters left: 4 (358 enodes)
414.676 * * [simplify]: Extracting #0: cost 1 inf + 0
414.676 * * [simplify]: Extracting #1: cost 3 inf + 0
414.677 * * [simplify]: Extracting #2: cost 53 inf + 0
414.678 * * [simplify]: Extracting #3: cost 255 inf + 0
414.680 * * [simplify]: Extracting #4: cost 354 inf + 695
414.686 * * [simplify]: Extracting #5: cost 377 inf + 8673
414.706 * * [simplify]: Extracting #6: cost 237 inf + 56275
414.767 * * [simplify]: Extracting #7: cost 34 inf + 154183
414.822 * * [simplify]: Extracting #8: cost 0 inf + 162505
414.875 * * [simplify]: Extracting #9: cost 0 inf + 158825
414.917 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))
414.917 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))
414.918 * * * * [progress]: [ 533 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
414.918 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
414.918 * * [simplify]: iters left: 6 (42 enodes)
414.929 * * [simplify]: iters left: 5 (203 enodes)
414.979 * * [simplify]: Extracting #0: cost 1 inf + 0
414.980 * * [simplify]: Extracting #1: cost 3 inf + 0
414.980 * * [simplify]: Extracting #2: cost 6 inf + 0
414.980 * * [simplify]: Extracting #3: cost 46 inf + 0
414.980 * * [simplify]: Extracting #4: cost 101 inf + 0
414.980 * * [simplify]: Extracting #5: cost 140 inf + 85
414.981 * * [simplify]: Extracting #6: cost 210 inf + 1071
414.982 * * [simplify]: Extracting #7: cost 206 inf + 3469
414.985 * * [simplify]: Extracting #8: cost 130 inf + 18577
414.992 * * [simplify]: Extracting #9: cost 66 inf + 39694
415.006 * * [simplify]: Extracting #10: cost 11 inf + 75912
415.038 * * [simplify]: Extracting #11: cost 1 inf + 84619
415.075 * * [simplify]: Extracting #12: cost 0 inf + 86204
415.111 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))))))))
415.111 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
415.113 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))
415.113 * * [simplify]: iters left: 6 (20 enodes)
415.122 * * [simplify]: iters left: 5 (94 enodes)
415.160 * * [simplify]: iters left: 4 (288 enodes)
415.277 * * [simplify]: Extracting #0: cost 1 inf + 0
415.277 * * [simplify]: Extracting #1: cost 3 inf + 0
415.277 * * [simplify]: Extracting #2: cost 27 inf + 0
415.277 * * [simplify]: Extracting #3: cost 132 inf + 0
415.278 * * [simplify]: Extracting #4: cost 207 inf + 250
415.279 * * [simplify]: Extracting #5: cost 259 inf + 3336
415.281 * * [simplify]: Extracting #6: cost 218 inf + 8780
415.291 * * [simplify]: Extracting #7: cost 88 inf + 45645
415.321 * * [simplify]: Extracting #8: cost 8 inf + 80603
415.344 * * [simplify]: Extracting #9: cost 0 inf + 84595
415.373 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
415.373 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))))
415.374 * * * * [progress]: [ 534 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
415.374 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
415.375 * * [simplify]: iters left: 6 (47 enodes)
415.388 * * [simplify]: iters left: 5 (231 enodes)
415.454 * * [simplify]: Extracting #0: cost 1 inf + 0
415.455 * * [simplify]: Extracting #1: cost 3 inf + 0
415.455 * * [simplify]: Extracting #2: cost 10 inf + 0
415.455 * * [simplify]: Extracting #3: cost 62 inf + 0
415.455 * * [simplify]: Extracting #4: cost 115 inf + 42
415.455 * * [simplify]: Extracting #5: cost 158 inf + 290
415.456 * * [simplify]: Extracting #6: cost 228 inf + 2603
415.458 * * [simplify]: Extracting #7: cost 219 inf + 6750
415.465 * * [simplify]: Extracting #8: cost 126 inf + 26560
415.477 * * [simplify]: Extracting #9: cost 55 inf + 55048
415.494 * * [simplify]: Extracting #10: cost 8 inf + 90100
415.532 * * [simplify]: Extracting #11: cost 0 inf + 99980
415.570 * * [simplify]: Extracting #12: cost 0 inf + 98580
415.609 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
415.609 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
415.610 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
415.611 * * [simplify]: iters left: 6 (23 enodes)
415.621 * * [simplify]: iters left: 5 (107 enodes)
415.648 * * [simplify]: iters left: 4 (299 enodes)
415.756 * * [simplify]: Extracting #0: cost 1 inf + 0
415.756 * * [simplify]: Extracting #1: cost 3 inf + 0
415.756 * * [simplify]: Extracting #2: cost 27 inf + 0
415.757 * * [simplify]: Extracting #3: cost 108 inf + 0
415.757 * * [simplify]: Extracting #4: cost 199 inf + 85
415.758 * * [simplify]: Extracting #5: cost 267 inf + 822
415.762 * * [simplify]: Extracting #6: cost 201 inf + 20150
415.792 * * [simplify]: Extracting #7: cost 21 inf + 86561
415.818 * * [simplify]: Extracting #8: cost 0 inf + 88342
415.853 * * [simplify]: Extracting #9: cost 0 inf + 86822
415.877 * [simplify]: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
415.877 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))))
415.878 * * * * [progress]: [ 535 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
415.878 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
415.878 * * [simplify]: iters left: 6 (42 enodes)
415.889 * * [simplify]: iters left: 5 (204 enodes)
415.934 * * [simplify]: Extracting #0: cost 1 inf + 0
415.934 * * [simplify]: Extracting #1: cost 3 inf + 0
415.934 * * [simplify]: Extracting #2: cost 10 inf + 0
415.934 * * [simplify]: Extracting #3: cost 54 inf + 0
415.934 * * [simplify]: Extracting #4: cost 96 inf + 44
415.935 * * [simplify]: Extracting #5: cost 119 inf + 1714
415.936 * * [simplify]: Extracting #6: cost 194 inf + 2932
415.937 * * [simplify]: Extracting #7: cost 202 inf + 3386
415.938 * * [simplify]: Extracting #8: cost 165 inf + 8258
415.942 * * [simplify]: Extracting #9: cost 105 inf + 21952
415.949 * * [simplify]: Extracting #10: cost 44 inf + 47290
415.969 * * [simplify]: Extracting #11: cost 8 inf + 72739
416.001 * * [simplify]: Extracting #12: cost 2 inf + 78729
416.034 * * [simplify]: Extracting #13: cost 1 inf + 80274
416.064 * * [simplify]: Extracting #14: cost 0 inf + 81819
416.081 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))))
416.081 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
416.082 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))
416.082 * * [simplify]: iters left: 6 (19 enodes)
416.086 * * [simplify]: iters left: 5 (89 enodes)
416.114 * * [simplify]: iters left: 4 (242 enodes)
416.253 * * [simplify]: Extracting #0: cost 1 inf + 0
416.253 * * [simplify]: Extracting #1: cost 3 inf + 0
416.253 * * [simplify]: Extracting #2: cost 17 inf + 0
416.253 * * [simplify]: Extracting #3: cost 49 inf + 0
416.253 * * [simplify]: Extracting #4: cost 109 inf + 44
416.254 * * [simplify]: Extracting #5: cost 183 inf + 86
416.257 * * [simplify]: Extracting #6: cost 117 inf + 15634
416.269 * * [simplify]: Extracting #7: cost 8 inf + 46564
416.291 * * [simplify]: Extracting #8: cost 0 inf + 45501
416.305 * * [simplify]: Extracting #9: cost 0 inf + 45421
416.317 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
416.317 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))))
416.318 * * * * [progress]: [ 536 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
416.318 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
416.319 * * [simplify]: iters left: 6 (47 enodes)
416.339 * * [simplify]: iters left: 5 (231 enodes)
416.404 * * [simplify]: Extracting #0: cost 1 inf + 0
416.404 * * [simplify]: Extracting #1: cost 3 inf + 0
416.404 * * [simplify]: Extracting #2: cost 10 inf + 0
416.404 * * [simplify]: Extracting #3: cost 62 inf + 0
416.405 * * [simplify]: Extracting #4: cost 115 inf + 42
416.405 * * [simplify]: Extracting #5: cost 157 inf + 332
416.406 * * [simplify]: Extracting #6: cost 220 inf + 3939
416.408 * * [simplify]: Extracting #7: cost 217 inf + 7465
416.411 * * [simplify]: Extracting #8: cost 124 inf + 27256
416.420 * * [simplify]: Extracting #9: cost 56 inf + 54244
416.449 * * [simplify]: Extracting #10: cost 8 inf + 90860
416.478 * * [simplify]: Extracting #11: cost 0 inf + 100860
416.504 * * [simplify]: Extracting #12: cost 0 inf + 99380
416.537 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
416.538 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
416.538 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
416.538 * * [simplify]: iters left: 6 (23 enodes)
416.544 * * [simplify]: iters left: 5 (107 enodes)
416.574 * * [simplify]: iters left: 4 (299 enodes)
416.707 * * [simplify]: Extracting #0: cost 1 inf + 0
416.707 * * [simplify]: Extracting #1: cost 3 inf + 0
416.707 * * [simplify]: Extracting #2: cost 27 inf + 0
416.708 * * [simplify]: Extracting #3: cost 108 inf + 0
416.709 * * [simplify]: Extracting #4: cost 199 inf + 85
416.711 * * [simplify]: Extracting #5: cost 267 inf + 822
416.719 * * [simplify]: Extracting #6: cost 201 inf + 20150
416.747 * * [simplify]: Extracting #7: cost 21 inf + 86561
416.783 * * [simplify]: Extracting #8: cost 0 inf + 88342
416.825 * * [simplify]: Extracting #9: cost 0 inf + 86822
416.861 * [simplify]: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
416.861 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))))
416.862 * * * * [progress]: [ 537 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
416.862 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
416.862 * * [simplify]: iters left: 6 (42 enodes)
416.873 * * [simplify]: iters left: 5 (204 enodes)
416.923 * * [simplify]: Extracting #0: cost 1 inf + 0
416.923 * * [simplify]: Extracting #1: cost 3 inf + 0
416.923 * * [simplify]: Extracting #2: cost 10 inf + 0
416.923 * * [simplify]: Extracting #3: cost 53 inf + 0
416.923 * * [simplify]: Extracting #4: cost 96 inf + 44
416.924 * * [simplify]: Extracting #5: cost 125 inf + 942
416.925 * * [simplify]: Extracting #6: cost 194 inf + 2932
416.926 * * [simplify]: Extracting #7: cost 200 inf + 3588
416.928 * * [simplify]: Extracting #8: cost 162 inf + 8982
416.933 * * [simplify]: Extracting #9: cost 105 inf + 21992
416.948 * * [simplify]: Extracting #10: cost 45 inf + 47007
416.963 * * [simplify]: Extracting #11: cost 8 inf + 73139
416.981 * * [simplify]: Extracting #12: cost 1 inf + 80674
417.005 * * [simplify]: Extracting #13: cost 0 inf + 82219
417.022 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))))
417.023 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
417.023 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))
417.023 * * [simplify]: iters left: 6 (19 enodes)
417.030 * * [simplify]: iters left: 5 (89 enodes)
417.066 * * [simplify]: iters left: 4 (242 enodes)
417.163 * * [simplify]: Extracting #0: cost 1 inf + 0
417.163 * * [simplify]: Extracting #1: cost 3 inf + 0
417.164 * * [simplify]: Extracting #2: cost 17 inf + 0
417.164 * * [simplify]: Extracting #3: cost 49 inf + 0
417.164 * * [simplify]: Extracting #4: cost 109 inf + 44
417.165 * * [simplify]: Extracting #5: cost 183 inf + 86
417.168 * * [simplify]: Extracting #6: cost 117 inf + 15634
417.184 * * [simplify]: Extracting #7: cost 8 inf + 46564
417.210 * * [simplify]: Extracting #8: cost 0 inf + 45501
417.233 * * [simplify]: Extracting #9: cost 0 inf + 45421
417.256 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
417.256 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))))
417.257 * * * * [progress]: [ 538 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
417.259 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
417.259 * * [simplify]: iters left: 6 (51 enodes)
417.274 * * [simplify]: iters left: 5 (250 enodes)
417.349 * * [simplify]: Extracting #0: cost 1 inf + 0
417.349 * * [simplify]: Extracting #1: cost 3 inf + 0
417.349 * * [simplify]: Extracting #2: cost 6 inf + 0
417.350 * * [simplify]: Extracting #3: cost 50 inf + 0
417.350 * * [simplify]: Extracting #4: cost 116 inf + 0
417.351 * * [simplify]: Extracting #5: cost 185 inf + 0
417.352 * * [simplify]: Extracting #6: cost 280 inf + 722
417.355 * * [simplify]: Extracting #7: cost 241 inf + 9207
417.362 * * [simplify]: Extracting #8: cost 149 inf + 25654
417.375 * * [simplify]: Extracting #9: cost 105 inf + 38329
417.400 * * [simplify]: Extracting #10: cost 55 inf + 61859
417.425 * * [simplify]: Extracting #11: cost 36 inf + 74762
417.463 * * [simplify]: Extracting #12: cost 6 inf + 102072
417.504 * * [simplify]: Extracting #13: cost 1 inf + 108517
417.541 * * [simplify]: Extracting #14: cost 0 inf + 110262
417.580 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
417.580 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
417.581 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
417.581 * * [simplify]: iters left: 6 (26 enodes)
417.587 * * [simplify]: iters left: 5 (124 enodes)
417.613 * * [simplify]: iters left: 4 (399 enodes)
417.864 * * [simplify]: Extracting #0: cost 1 inf + 0
417.864 * * [simplify]: Extracting #1: cost 3 inf + 0
417.864 * * [simplify]: Extracting #2: cost 36 inf + 0
417.864 * * [simplify]: Extracting #3: cost 255 inf + 0
417.866 * * [simplify]: Extracting #4: cost 455 inf + 44
417.871 * * [simplify]: Extracting #5: cost 488 inf + 8332
417.895 * * [simplify]: Extracting #6: cost 231 inf + 106879
417.978 * * [simplify]: Extracting #7: cost 7 inf + 205080
418.055 * * [simplify]: Extracting #8: cost 0 inf + 198504
418.139 * * [simplify]: Extracting #9: cost 0 inf + 198024
418.222 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
418.223 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
418.223 * * * * [progress]: [ 539 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
418.224 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
418.224 * * [simplify]: iters left: 6 (52 enodes)
418.247 * * [simplify]: iters left: 5 (259 enodes)
418.321 * * [simplify]: Extracting #0: cost 1 inf + 0
418.321 * * [simplify]: Extracting #1: cost 3 inf + 0
418.321 * * [simplify]: Extracting #2: cost 6 inf + 0
418.321 * * [simplify]: Extracting #3: cost 53 inf + 0
418.321 * * [simplify]: Extracting #4: cost 138 inf + 0
418.322 * * [simplify]: Extracting #5: cost 197 inf + 85
418.323 * * [simplify]: Extracting #6: cost 258 inf + 4197
418.325 * * [simplify]: Extracting #7: cost 231 inf + 11820
418.330 * * [simplify]: Extracting #8: cost 134 inf + 34349
418.343 * * [simplify]: Extracting #9: cost 66 inf + 57071
418.371 * * [simplify]: Extracting #10: cost 31 inf + 83382
418.411 * * [simplify]: Extracting #11: cost 3 inf + 107459
418.435 * * [simplify]: Extracting #12: cost 0 inf + 112414
418.463 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
418.463 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
418.464 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
418.464 * * [simplify]: iters left: 6 (27 enodes)
418.472 * * [simplify]: iters left: 5 (128 enodes)
418.504 * * [simplify]: iters left: 4 (397 enodes)
418.795 * * [simplify]: Extracting #0: cost 1 inf + 0
418.796 * * [simplify]: Extracting #1: cost 3 inf + 0
418.796 * * [simplify]: Extracting #2: cost 62 inf + 0
418.796 * * [simplify]: Extracting #3: cost 275 inf + 0
418.798 * * [simplify]: Extracting #4: cost 397 inf + 127
418.800 * * [simplify]: Extracting #5: cost 444 inf + 3828
418.818 * * [simplify]: Extracting #6: cost 228 inf + 94819
418.882 * * [simplify]: Extracting #7: cost 18 inf + 181302
418.935 * * [simplify]: Extracting #8: cost 0 inf + 181650
418.994 * * [simplify]: Extracting #9: cost 0 inf + 180370
419.086 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))))
419.086 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))))
419.087 * * * * [progress]: [ 540 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
419.088 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
419.088 * * [simplify]: iters left: 6 (52 enodes)
419.115 * * [simplify]: iters left: 5 (259 enodes)
419.218 * * [simplify]: Extracting #0: cost 1 inf + 0
419.218 * * [simplify]: Extracting #1: cost 3 inf + 0
419.218 * * [simplify]: Extracting #2: cost 6 inf + 0
419.218 * * [simplify]: Extracting #3: cost 55 inf + 0
419.218 * * [simplify]: Extracting #4: cost 136 inf + 0
419.219 * * [simplify]: Extracting #5: cost 193 inf + 85
419.220 * * [simplify]: Extracting #6: cost 260 inf + 3186
419.223 * * [simplify]: Extracting #7: cost 237 inf + 11161
419.226 * * [simplify]: Extracting #8: cost 171 inf + 22212
419.232 * * [simplify]: Extracting #9: cost 111 inf + 36812
419.246 * * [simplify]: Extracting #10: cost 68 inf + 54260
419.260 * * [simplify]: Extracting #11: cost 35 inf + 77042
419.287 * * [simplify]: Extracting #12: cost 1 inf + 108581
419.329 * * [simplify]: Extracting #13: cost 0 inf + 110366
419.365 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))
419.365 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
419.366 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
419.366 * * [simplify]: iters left: 6 (27 enodes)
419.373 * * [simplify]: iters left: 5 (128 enodes)
419.416 * * [simplify]: iters left: 4 (395 enodes)
419.650 * * [simplify]: Extracting #0: cost 1 inf + 0
419.650 * * [simplify]: Extracting #1: cost 3 inf + 0
419.651 * * [simplify]: Extracting #2: cost 56 inf + 0
419.652 * * [simplify]: Extracting #3: cost 253 inf + 0
419.654 * * [simplify]: Extracting #4: cost 359 inf + 696
419.660 * * [simplify]: Extracting #5: cost 394 inf + 6019
419.680 * * [simplify]: Extracting #6: cost 251 inf + 52811
419.758 * * [simplify]: Extracting #7: cost 28 inf + 160981
419.815 * * [simplify]: Extracting #8: cost 0 inf + 164761
419.899 * * [simplify]: Extracting #9: cost 0 inf + 161161
419.954 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (+ phi2 phi1)) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))
419.954 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (+ phi2 phi1)) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))))
419.955 * * * * [progress]: [ 541 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
419.955 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
419.956 * * [simplify]: iters left: 6 (46 enodes)
419.980 * * [simplify]: iters left: 5 (225 enodes)
420.047 * * [simplify]: Extracting #0: cost 1 inf + 0
420.047 * * [simplify]: Extracting #1: cost 3 inf + 0
420.047 * * [simplify]: Extracting #2: cost 6 inf + 0
420.047 * * [simplify]: Extracting #3: cost 47 inf + 0
420.048 * * [simplify]: Extracting #4: cost 104 inf + 0
420.048 * * [simplify]: Extracting #5: cost 142 inf + 126
420.050 * * [simplify]: Extracting #6: cost 224 inf + 990
420.052 * * [simplify]: Extracting #7: cost 226 inf + 2334
420.056 * * [simplify]: Extracting #8: cost 167 inf + 10810
420.063 * * [simplify]: Extracting #9: cost 109 inf + 26927
420.072 * * [simplify]: Extracting #10: cost 44 inf + 56174
420.089 * * [simplify]: Extracting #11: cost 6 inf + 86744
420.123 * * [simplify]: Extracting #12: cost 0 inf + 90368
420.155 * * [simplify]: Extracting #13: cost 0 inf + 89808
420.174 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
420.174 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
420.175 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))
420.175 * * [simplify]: iters left: 6 (22 enodes)
420.180 * * [simplify]: iters left: 5 (106 enodes)
420.220 * * [simplify]: iters left: 4 (331 enodes)
420.371 * * [simplify]: Extracting #0: cost 1 inf + 0
420.371 * * [simplify]: Extracting #1: cost 3 inf + 0
420.371 * * [simplify]: Extracting #2: cost 31 inf + 0
420.371 * * [simplify]: Extracting #3: cost 137 inf + 0
420.372 * * [simplify]: Extracting #4: cost 221 inf + 86
420.373 * * [simplify]: Extracting #5: cost 276 inf + 2809
420.377 * * [simplify]: Extracting #6: cost 211 inf + 20249
420.396 * * [simplify]: Extracting #7: cost 31 inf + 83738
420.441 * * [simplify]: Extracting #8: cost 0 inf + 92793
420.466 * * [simplify]: Extracting #9: cost 0 inf + 89513
420.490 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1))))
420.490 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))))))
420.491 * * * * [progress]: [ 542 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
420.491 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
420.491 * * [simplify]: iters left: 6 (51 enodes)
420.505 * * [simplify]: iters left: 5 (252 enodes)
420.585 * * [simplify]: Extracting #0: cost 1 inf + 0
420.585 * * [simplify]: Extracting #1: cost 3 inf + 0
420.585 * * [simplify]: Extracting #2: cost 10 inf + 0
420.585 * * [simplify]: Extracting #3: cost 63 inf + 0
420.585 * * [simplify]: Extracting #4: cost 118 inf + 42
420.586 * * [simplify]: Extracting #5: cost 161 inf + 249
420.587 * * [simplify]: Extracting #6: cost 241 inf + 2083
420.588 * * [simplify]: Extracting #7: cost 230 inf + 8808
420.593 * * [simplify]: Extracting #8: cost 128 inf + 29538
420.601 * * [simplify]: Extracting #9: cost 58 inf + 55116
420.617 * * [simplify]: Extracting #10: cost 29 inf + 73779
420.646 * * [simplify]: Extracting #11: cost 2 inf + 100134
420.683 * * [simplify]: Extracting #12: cost 1 inf + 101879
420.705 * * [simplify]: Extracting #13: cost 0 inf + 103624
420.744 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
420.744 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
420.746 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
420.746 * * [simplify]: iters left: 6 (25 enodes)
420.758 * * [simplify]: iters left: 5 (119 enodes)
420.804 * * [simplify]: iters left: 4 (340 enodes)
420.963 * * [simplify]: Extracting #0: cost 1 inf + 0
420.963 * * [simplify]: Extracting #1: cost 3 inf + 0
420.963 * * [simplify]: Extracting #2: cost 30 inf + 0
420.964 * * [simplify]: Extracting #3: cost 131 inf + 0
420.965 * * [simplify]: Extracting #4: cost 229 inf + 44
420.968 * * [simplify]: Extracting #5: cost 308 inf + 497
420.980 * * [simplify]: Extracting #6: cost 205 inf + 32363
421.027 * * [simplify]: Extracting #7: cost 13 inf + 104259
421.055 * * [simplify]: Extracting #8: cost 0 inf + 100455
421.102 * * [simplify]: Extracting #9: cost 0 inf + 99255
421.133 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))
421.133 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- phi1 phi2) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))
421.134 * * * * [progress]: [ 543 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
421.135 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
421.135 * * [simplify]: iters left: 6 (46 enodes)
421.159 * * [simplify]: iters left: 5 (224 enodes)
421.216 * * [simplify]: Extracting #0: cost 1 inf + 0
421.216 * * [simplify]: Extracting #1: cost 3 inf + 0
421.216 * * [simplify]: Extracting #2: cost 10 inf + 0
421.216 * * [simplify]: Extracting #3: cost 59 inf + 0
421.216 * * [simplify]: Extracting #4: cost 104 inf + 44
421.216 * * [simplify]: Extracting #5: cost 131 inf + 862
421.217 * * [simplify]: Extracting #6: cost 212 inf + 2770
421.219 * * [simplify]: Extracting #7: cost 217 inf + 3709
421.222 * * [simplify]: Extracting #8: cost 136 inf + 20095
421.229 * * [simplify]: Extracting #9: cost 59 inf + 47287
421.241 * * [simplify]: Extracting #10: cost 24 inf + 68343
421.257 * * [simplify]: Extracting #11: cost 2 inf + 84812
421.275 * * [simplify]: Extracting #12: cost 0 inf + 87742
421.295 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
421.295 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
421.296 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
421.296 * * [simplify]: iters left: 6 (21 enodes)
421.301 * * [simplify]: iters left: 5 (101 enodes)
421.319 * * [simplify]: iters left: 4 (292 enodes)
421.474 * * [simplify]: Extracting #0: cost 1 inf + 0
421.474 * * [simplify]: Extracting #1: cost 3 inf + 0
421.474 * * [simplify]: Extracting #2: cost 17 inf + 0
421.474 * * [simplify]: Extracting #3: cost 62 inf + 0
421.475 * * [simplify]: Extracting #4: cost 129 inf + 2
421.475 * * [simplify]: Extracting #5: cost 206 inf + 86
421.478 * * [simplify]: Extracting #6: cost 145 inf + 12979
421.492 * * [simplify]: Extracting #7: cost 15 inf + 51598
421.508 * * [simplify]: Extracting #8: cost 0 inf + 54241
421.523 * * [simplify]: Extracting #9: cost 0 inf + 53081
421.539 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ phi2 phi1)) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
421.539 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ phi2 phi1)) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
421.540 * * * * [progress]: [ 544 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
421.540 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
421.540 * * [simplify]: iters left: 6 (51 enodes)
421.553 * * [simplify]: iters left: 5 (252 enodes)
421.630 * * [simplify]: Extracting #0: cost 1 inf + 0
421.630 * * [simplify]: Extracting #1: cost 3 inf + 0
421.630 * * [simplify]: Extracting #2: cost 10 inf + 0
421.630 * * [simplify]: Extracting #3: cost 63 inf + 0
421.631 * * [simplify]: Extracting #4: cost 118 inf + 42
421.631 * * [simplify]: Extracting #5: cost 161 inf + 248
421.633 * * [simplify]: Extracting #6: cost 245 inf + 1557
421.636 * * [simplify]: Extracting #7: cost 232 inf + 8404
421.640 * * [simplify]: Extracting #8: cost 128 inf + 29641
421.649 * * [simplify]: Extracting #9: cost 58 inf + 54796
421.662 * * [simplify]: Extracting #10: cost 29 inf + 74179
421.694 * * [simplify]: Extracting #11: cost 2 inf + 100534
421.732 * * [simplify]: Extracting #12: cost 1 inf + 102279
421.754 * * [simplify]: Extracting #13: cost 0 inf + 104024
421.793 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
421.793 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
421.794 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
421.794 * * [simplify]: iters left: 6 (25 enodes)
421.806 * * [simplify]: iters left: 5 (119 enodes)
421.849 * * [simplify]: iters left: 4 (340 enodes)
422.028 * * [simplify]: Extracting #0: cost 1 inf + 0
422.029 * * [simplify]: Extracting #1: cost 3 inf + 0
422.029 * * [simplify]: Extracting #2: cost 30 inf + 0
422.029 * * [simplify]: Extracting #3: cost 131 inf + 0
422.031 * * [simplify]: Extracting #4: cost 229 inf + 44
422.033 * * [simplify]: Extracting #5: cost 308 inf + 497
422.045 * * [simplify]: Extracting #6: cost 205 inf + 32363
422.096 * * [simplify]: Extracting #7: cost 13 inf + 104259
422.147 * * [simplify]: Extracting #8: cost 0 inf + 100455
422.175 * * [simplify]: Extracting #9: cost 0 inf + 99255
422.206 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))
422.206 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))
422.206 * * * * [progress]: [ 545 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
422.207 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
422.207 * * [simplify]: iters left: 6 (46 enodes)
422.220 * * [simplify]: iters left: 5 (224 enodes)
422.277 * * [simplify]: Extracting #0: cost 1 inf + 0
422.277 * * [simplify]: Extracting #1: cost 3 inf + 0
422.277 * * [simplify]: Extracting #2: cost 10 inf + 0
422.277 * * [simplify]: Extracting #3: cost 58 inf + 0
422.278 * * [simplify]: Extracting #4: cost 104 inf + 44
422.278 * * [simplify]: Extracting #5: cost 130 inf + 904
422.279 * * [simplify]: Extracting #6: cost 211 inf + 2932
422.280 * * [simplify]: Extracting #7: cost 217 inf + 3709
422.285 * * [simplify]: Extracting #8: cost 137 inf + 20032
422.293 * * [simplify]: Extracting #9: cost 57 inf + 48737
422.305 * * [simplify]: Extracting #10: cost 23 inf + 68715
422.328 * * [simplify]: Extracting #11: cost 2 inf + 85132
422.354 * * [simplify]: Extracting #12: cost 0 inf + 88062
422.373 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
422.373 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
422.373 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
422.374 * * [simplify]: iters left: 6 (21 enodes)
422.386 * * [simplify]: iters left: 5 (101 enodes)
422.423 * * [simplify]: iters left: 4 (292 enodes)
422.578 * * [simplify]: Extracting #0: cost 1 inf + 0
422.578 * * [simplify]: Extracting #1: cost 3 inf + 0
422.578 * * [simplify]: Extracting #2: cost 17 inf + 0
422.578 * * [simplify]: Extracting #3: cost 62 inf + 0
422.579 * * [simplify]: Extracting #4: cost 129 inf + 2
422.581 * * [simplify]: Extracting #5: cost 206 inf + 86
422.585 * * [simplify]: Extracting #6: cost 145 inf + 12979
422.611 * * [simplify]: Extracting #7: cost 15 inf + 51598
422.642 * * [simplify]: Extracting #8: cost 0 inf + 54241
422.672 * * [simplify]: Extracting #9: cost 0 inf + 53081
422.692 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ phi2 phi1)) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
422.693 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ phi2 phi1)) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
422.693 * * * * [progress]: [ 546 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
422.694 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
422.694 * * [simplify]: iters left: 6 (51 enodes)
422.708 * * [simplify]: iters left: 5 (256 enodes)
422.806 * * [simplify]: Extracting #0: cost 1 inf + 0
422.806 * * [simplify]: Extracting #1: cost 3 inf + 0
422.806 * * [simplify]: Extracting #2: cost 6 inf + 0
422.807 * * [simplify]: Extracting #3: cost 56 inf + 0
422.807 * * [simplify]: Extracting #4: cost 130 inf + 0
422.807 * * [simplify]: Extracting #5: cost 213 inf + 0
422.808 * * [simplify]: Extracting #6: cost 310 inf + 551
422.810 * * [simplify]: Extracting #7: cost 266 inf + 10552
422.816 * * [simplify]: Extracting #8: cost 142 inf + 38755
422.833 * * [simplify]: Extracting #9: cost 59 inf + 70744
422.882 * * [simplify]: Extracting #10: cost 14 inf + 112405
422.917 * * [simplify]: Extracting #11: cost 1 inf + 125617
422.943 * * [simplify]: Extracting #12: cost 0 inf + 127522
422.971 * * [simplify]: Extracting #13: cost 0 inf + 127402
423.022 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))
423.022 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
423.023 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
423.024 * * [simplify]: iters left: 6 (26 enodes)
423.036 * * [simplify]: iters left: 5 (126 enodes)
423.085 * * [simplify]: iters left: 4 (401 enodes)
423.325 * * [simplify]: Extracting #0: cost 1 inf + 0
423.325 * * [simplify]: Extracting #1: cost 3 inf + 0
423.325 * * [simplify]: Extracting #2: cost 43 inf + 0
423.326 * * [simplify]: Extracting #3: cost 312 inf + 0
423.327 * * [simplify]: Extracting #4: cost 515 inf + 330
423.331 * * [simplify]: Extracting #5: cost 519 inf + 11102
423.360 * * [simplify]: Extracting #6: cost 278 inf + 93116
423.455 * * [simplify]: Extracting #7: cost 14 inf + 241265
423.518 * * [simplify]: Extracting #8: cost 0 inf + 236872
423.590 * * [simplify]: Extracting #9: cost 0 inf + 236232
423.678 * [simplify]: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))
423.678 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))))
423.679 * * * * [progress]: [ 547 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
423.680 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
423.681 * * [simplify]: iters left: 6 (52 enodes)
423.710 * * [simplify]: iters left: 5 (265 enodes)
423.822 * * [simplify]: Extracting #0: cost 1 inf + 0
423.822 * * [simplify]: Extracting #1: cost 3 inf + 0
423.822 * * [simplify]: Extracting #2: cost 6 inf + 0
423.822 * * [simplify]: Extracting #3: cost 60 inf + 0
423.822 * * [simplify]: Extracting #4: cost 153 inf + 0
423.823 * * [simplify]: Extracting #5: cost 226 inf + 85
423.824 * * [simplify]: Extracting #6: cost 291 inf + 4033
423.830 * * [simplify]: Extracting #7: cost 253 inf + 13135
423.835 * * [simplify]: Extracting #8: cost 169 inf + 28874
423.843 * * [simplify]: Extracting #9: cost 99 inf + 53260
423.857 * * [simplify]: Extracting #10: cost 41 inf + 87097
423.900 * * [simplify]: Extracting #11: cost 5 inf + 124454
423.949 * * [simplify]: Extracting #12: cost 1 inf + 130834
423.995 * * [simplify]: Extracting #13: cost 0 inf + 132939
424.024 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))
424.024 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
424.025 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
424.025 * * [simplify]: iters left: 6 (27 enodes)
424.038 * * [simplify]: iters left: 5 (130 enodes)
424.080 * * [simplify]: iters left: 4 (398 enodes)
424.318 * * [simplify]: Extracting #0: cost 1 inf + 0
424.318 * * [simplify]: Extracting #1: cost 3 inf + 0
424.318 * * [simplify]: Extracting #2: cost 70 inf + 0
424.319 * * [simplify]: Extracting #3: cost 336 inf + 0
424.321 * * [simplify]: Extracting #4: cost 472 inf + 86
424.324 * * [simplify]: Extracting #5: cost 504 inf + 5842
424.357 * * [simplify]: Extracting #6: cost 237 inf + 120120
424.412 * * [simplify]: Extracting #7: cost 20 inf + 221063
424.484 * * [simplify]: Extracting #8: cost 0 inf + 225251
424.587 * * [simplify]: Extracting #9: cost 0 inf + 224131
424.659 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
424.659 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
424.660 * * * * [progress]: [ 548 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
424.660 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
424.661 * * [simplify]: iters left: 6 (52 enodes)
424.675 * * [simplify]: iters left: 5 (265 enodes)
424.761 * * [simplify]: Extracting #0: cost 1 inf + 0
424.762 * * [simplify]: Extracting #1: cost 3 inf + 0
424.762 * * [simplify]: Extracting #2: cost 6 inf + 0
424.762 * * [simplify]: Extracting #3: cost 62 inf + 0
424.762 * * [simplify]: Extracting #4: cost 151 inf + 0
424.764 * * [simplify]: Extracting #5: cost 222 inf + 85
424.766 * * [simplify]: Extracting #6: cost 290 inf + 3387
424.769 * * [simplify]: Extracting #7: cost 261 inf + 10295
424.774 * * [simplify]: Extracting #8: cost 150 inf + 38775
424.786 * * [simplify]: Extracting #9: cost 66 inf + 70692
424.820 * * [simplify]: Extracting #10: cost 16 inf + 116531
424.846 * * [simplify]: Extracting #11: cost 0 inf + 131404
424.890 * * [simplify]: Extracting #12: cost 0 inf + 130531
424.916 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
424.916 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
424.917 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
424.918 * * [simplify]: iters left: 6 (27 enodes)
424.931 * * [simplify]: iters left: 5 (130 enodes)
424.983 * * [simplify]: iters left: 4 (396 enodes)
425.232 * * [simplify]: Extracting #0: cost 1 inf + 0
425.232 * * [simplify]: Extracting #1: cost 3 inf + 0
425.232 * * [simplify]: Extracting #2: cost 60 inf + 0
425.233 * * [simplify]: Extracting #3: cost 303 inf + 0
425.234 * * [simplify]: Extracting #4: cost 417 inf + 736
425.238 * * [simplify]: Extracting #5: cost 444 inf + 6981
425.255 * * [simplify]: Extracting #6: cost 238 inf + 91705
425.322 * * [simplify]: Extracting #7: cost 13 inf + 193171
425.414 * * [simplify]: Extracting #8: cost 0 inf + 192461
425.480 * * [simplify]: Extracting #9: cost 0 inf + 192141
425.541 * [simplify]: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
425.541 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
425.541 * * * * [progress]: [ 549 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
425.542 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
425.542 * * [simplify]: iters left: 6 (46 enodes)
425.567 * * [simplify]: iters left: 5 (229 enodes)
425.632 * * [simplify]: Extracting #0: cost 1 inf + 0
425.632 * * [simplify]: Extracting #1: cost 3 inf + 0
425.632 * * [simplify]: Extracting #2: cost 6 inf + 0
425.632 * * [simplify]: Extracting #3: cost 54 inf + 0
425.632 * * [simplify]: Extracting #4: cost 119 inf + 0
425.633 * * [simplify]: Extracting #5: cost 171 inf + 44
425.634 * * [simplify]: Extracting #6: cost 255 inf + 908
425.635 * * [simplify]: Extracting #7: cost 248 inf + 3182
425.639 * * [simplify]: Extracting #8: cost 158 inf + 20751
425.653 * * [simplify]: Extracting #9: cost 84 inf + 45566
425.687 * * [simplify]: Extracting #10: cost 17 inf + 92107
425.710 * * [simplify]: Extracting #11: cost 0 inf + 106310
425.743 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2)))) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (* (+ phi2 phi1) (+ phi2 phi1)))))
425.743 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2)))) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (* (+ phi2 phi1) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
425.744 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))
425.744 * * [simplify]: iters left: 6 (22 enodes)
425.755 * * [simplify]: iters left: 5 (108 enodes)
425.804 * * [simplify]: iters left: 4 (326 enodes)
425.936 * * [simplify]: Extracting #0: cost 1 inf + 0
425.936 * * [simplify]: Extracting #1: cost 3 inf + 0
425.936 * * [simplify]: Extracting #2: cost 34 inf + 0
425.937 * * [simplify]: Extracting #3: cost 153 inf + 0
425.938 * * [simplify]: Extracting #4: cost 256 inf + 208
425.943 * * [simplify]: Extracting #5: cost 400 inf + 3374
425.948 * * [simplify]: Extracting #6: cost 295 inf + 19032
425.965 * * [simplify]: Extracting #7: cost 65 inf + 88328
425.996 * * [simplify]: Extracting #8: cost 1 inf + 115166
426.026 * * [simplify]: Extracting #9: cost 0 inf + 115930
426.074 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1))))
426.074 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1)))))))
426.074 * * * * [progress]: [ 550 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
426.075 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
426.075 * * [simplify]: iters left: 6 (51 enodes)
426.090 * * [simplify]: iters left: 5 (257 enodes)
426.166 * * [simplify]: Extracting #0: cost 1 inf + 0
426.166 * * [simplify]: Extracting #1: cost 3 inf + 0
426.166 * * [simplify]: Extracting #2: cost 10 inf + 0
426.166 * * [simplify]: Extracting #3: cost 74 inf + 0
426.166 * * [simplify]: Extracting #4: cost 136 inf + 42
426.167 * * [simplify]: Extracting #5: cost 192 inf + 249
426.168 * * [simplify]: Extracting #6: cost 277 inf + 1679
426.169 * * [simplify]: Extracting #7: cost 266 inf + 6485
426.172 * * [simplify]: Extracting #8: cost 177 inf + 21673
426.190 * * [simplify]: Extracting #9: cost 108 inf + 44357
426.210 * * [simplify]: Extracting #10: cost 50 inf + 73791
426.230 * * [simplify]: Extracting #11: cost 5 inf + 111756
426.264 * * [simplify]: Extracting #12: cost 1 inf + 118696
426.290 * * [simplify]: Extracting #13: cost 0 inf + 120721
426.318 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
426.319 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
426.319 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
426.320 * * [simplify]: iters left: 6 (25 enodes)
426.325 * * [simplify]: iters left: 5 (121 enodes)
426.365 * * [simplify]: iters left: 4 (343 enodes)
426.557 * * [simplify]: Extracting #0: cost 1 inf + 0
426.557 * * [simplify]: Extracting #1: cost 3 inf + 0
426.557 * * [simplify]: Extracting #2: cost 33 inf + 0
426.558 * * [simplify]: Extracting #3: cost 144 inf + 0
426.559 * * [simplify]: Extracting #4: cost 266 inf + 85
426.563 * * [simplify]: Extracting #5: cost 416 inf + 739
426.569 * * [simplify]: Extracting #6: cost 329 inf + 12235
426.600 * * [simplify]: Extracting #7: cost 88 inf + 88065
426.641 * * [simplify]: Extracting #8: cost 1 inf + 127689
426.685 * * [simplify]: Extracting #9: cost 0 inf + 128253
426.737 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))
426.737 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))
426.737 * * * * [progress]: [ 551 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
426.738 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
426.738 * * [simplify]: iters left: 6 (46 enodes)
426.750 * * [simplify]: iters left: 5 (229 enodes)
426.847 * * [simplify]: Extracting #0: cost 1 inf + 0
426.847 * * [simplify]: Extracting #1: cost 3 inf + 0
426.847 * * [simplify]: Extracting #2: cost 10 inf + 0
426.848 * * [simplify]: Extracting #3: cost 66 inf + 0
426.848 * * [simplify]: Extracting #4: cost 117 inf + 44
426.849 * * [simplify]: Extracting #5: cost 161 inf + 496
426.851 * * [simplify]: Extracting #6: cost 241 inf + 2770
426.854 * * [simplify]: Extracting #7: cost 242 inf + 4111
426.856 * * [simplify]: Extracting #8: cost 190 inf + 11418
426.860 * * [simplify]: Extracting #9: cost 130 inf + 25470
426.869 * * [simplify]: Extracting #10: cost 60 inf + 54314
426.891 * * [simplify]: Extracting #11: cost 8 inf + 93322
426.936 * * [simplify]: Extracting #12: cost 0 inf + 101360
426.977 * * [simplify]: Extracting #13: cost 0 inf + 101120
427.015 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
427.015 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
427.017 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))
427.017 * * [simplify]: iters left: 6 (21 enodes)
427.027 * * [simplify]: iters left: 5 (103 enodes)
427.066 * * [simplify]: iters left: 4 (286 enodes)
427.171 * * [simplify]: Extracting #0: cost 1 inf + 0
427.171 * * [simplify]: Extracting #1: cost 3 inf + 0
427.172 * * [simplify]: Extracting #2: cost 23 inf + 0
427.172 * * [simplify]: Extracting #3: cost 70 inf + 0
427.173 * * [simplify]: Extracting #4: cost 162 inf + 2
427.174 * * [simplify]: Extracting #5: cost 332 inf + 44
427.178 * * [simplify]: Extracting #6: cost 291 inf + 4600
427.192 * * [simplify]: Extracting #7: cost 96 inf + 42153
427.210 * * [simplify]: Extracting #8: cost 29 inf + 61997
427.229 * * [simplify]: Extracting #9: cost 2 inf + 75724
427.267 * * [simplify]: Extracting #10: cost 0 inf + 76690
427.302 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1)) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
427.302 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1)) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))))
427.303 * * * * [progress]: [ 552 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
427.303 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
427.304 * * [simplify]: iters left: 6 (51 enodes)
427.322 * * [simplify]: iters left: 5 (257 enodes)
427.388 * * [simplify]: Extracting #0: cost 1 inf + 0
427.388 * * [simplify]: Extracting #1: cost 3 inf + 0
427.388 * * [simplify]: Extracting #2: cost 10 inf + 0
427.389 * * [simplify]: Extracting #3: cost 74 inf + 0
427.389 * * [simplify]: Extracting #4: cost 136 inf + 42
427.390 * * [simplify]: Extracting #5: cost 193 inf + 207
427.391 * * [simplify]: Extracting #6: cost 278 inf + 1636
427.394 * * [simplify]: Extracting #7: cost 261 inf + 7976
427.400 * * [simplify]: Extracting #8: cost 183 inf + 20461
427.414 * * [simplify]: Extracting #9: cost 107 inf + 45761
427.429 * * [simplify]: Extracting #10: cost 51 inf + 73966
427.453 * * [simplify]: Extracting #11: cost 5 inf + 112716
427.503 * * [simplify]: Extracting #12: cost 1 inf + 119656
427.552 * * [simplify]: Extracting #13: cost 0 inf + 121681
427.599 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
427.599 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
427.601 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
427.601 * * [simplify]: iters left: 6 (25 enodes)
427.613 * * [simplify]: iters left: 5 (121 enodes)
427.658 * * [simplify]: iters left: 4 (343 enodes)
427.820 * * [simplify]: Extracting #0: cost 1 inf + 0
427.820 * * [simplify]: Extracting #1: cost 3 inf + 0
427.820 * * [simplify]: Extracting #2: cost 33 inf + 0
427.821 * * [simplify]: Extracting #3: cost 144 inf + 0
427.822 * * [simplify]: Extracting #4: cost 266 inf + 85
427.826 * * [simplify]: Extracting #5: cost 416 inf + 739
427.832 * * [simplify]: Extracting #6: cost 329 inf + 12235
427.869 * * [simplify]: Extracting #7: cost 88 inf + 88065
427.902 * * [simplify]: Extracting #8: cost 1 inf + 127689
427.940 * * [simplify]: Extracting #9: cost 0 inf + 128253
427.980 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))
427.980 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))
427.981 * * * * [progress]: [ 553 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
427.981 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
427.982 * * [simplify]: iters left: 6 (46 enodes)
427.997 * * [simplify]: iters left: 5 (229 enodes)
428.090 * * [simplify]: Extracting #0: cost 1 inf + 0
428.091 * * [simplify]: Extracting #1: cost 3 inf + 0
428.091 * * [simplify]: Extracting #2: cost 10 inf + 0
428.091 * * [simplify]: Extracting #3: cost 65 inf + 0
428.091 * * [simplify]: Extracting #4: cost 117 inf + 44
428.092 * * [simplify]: Extracting #5: cost 158 inf + 782
428.094 * * [simplify]: Extracting #6: cost 240 inf + 2932
428.101 * * [simplify]: Extracting #7: cost 242 inf + 4111
428.105 * * [simplify]: Extracting #8: cost 190 inf + 11418
428.110 * * [simplify]: Extracting #9: cost 122 inf + 28632
428.120 * * [simplify]: Extracting #10: cost 49 inf + 61221
428.148 * * [simplify]: Extracting #11: cost 7 inf + 94385
428.174 * * [simplify]: Extracting #12: cost 0 inf + 101760
428.203 * * [simplify]: Extracting #13: cost 0 inf + 101520
428.241 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
428.242 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
428.243 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))
428.243 * * [simplify]: iters left: 6 (21 enodes)
428.252 * * [simplify]: iters left: 5 (103 enodes)
428.283 * * [simplify]: iters left: 4 (286 enodes)
428.392 * * [simplify]: Extracting #0: cost 1 inf + 0
428.392 * * [simplify]: Extracting #1: cost 3 inf + 0
428.392 * * [simplify]: Extracting #2: cost 23 inf + 0
428.393 * * [simplify]: Extracting #3: cost 70 inf + 0
428.393 * * [simplify]: Extracting #4: cost 162 inf + 2
428.395 * * [simplify]: Extracting #5: cost 332 inf + 44
428.399 * * [simplify]: Extracting #6: cost 291 inf + 4600
428.414 * * [simplify]: Extracting #7: cost 96 inf + 42153
428.430 * * [simplify]: Extracting #8: cost 29 inf + 61997
428.465 * * [simplify]: Extracting #9: cost 2 inf + 75724
428.501 * * [simplify]: Extracting #10: cost 0 inf + 76690
428.521 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1)) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
428.521 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1)) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))))
428.522 * * * * [progress]: [ 554 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
428.522 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
428.523 * * [simplify]: iters left: 6 (52 enodes)
428.536 * * [simplify]: iters left: 5 (254 enodes)
428.609 * * [simplify]: Extracting #0: cost 1 inf + 0
428.609 * * [simplify]: Extracting #1: cost 3 inf + 0
428.609 * * [simplify]: Extracting #2: cost 6 inf + 0
428.609 * * [simplify]: Extracting #3: cost 56 inf + 0
428.609 * * [simplify]: Extracting #4: cost 130 inf + 0
428.610 * * [simplify]: Extracting #5: cost 215 inf + 0
428.610 * * [simplify]: Extracting #6: cost 312 inf + 510
428.612 * * [simplify]: Extracting #7: cost 268 inf + 9927
428.617 * * [simplify]: Extracting #8: cost 148 inf + 36777
428.630 * * [simplify]: Extracting #9: cost 61 inf + 68012
428.672 * * [simplify]: Extracting #10: cost 12 inf + 115528
428.719 * * [simplify]: Extracting #11: cost 1 inf + 127140
428.767 * * [simplify]: Extracting #12: cost 0 inf + 129165
428.816 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
428.816 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
428.818 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
428.818 * * [simplify]: iters left: 6 (25 enodes)
428.831 * * [simplify]: iters left: 5 (117 enodes)
428.877 * * [simplify]: iters left: 4 (379 enodes)
429.174 * * [simplify]: Extracting #0: cost 1 inf + 0
429.174 * * [simplify]: Extracting #1: cost 3 inf + 0
429.174 * * [simplify]: Extracting #2: cost 45 inf + 0
429.175 * * [simplify]: Extracting #3: cost 308 inf + 0
429.178 * * [simplify]: Extracting #4: cost 501 inf + 855
429.188 * * [simplify]: Extracting #5: cost 478 inf + 19285
429.235 * * [simplify]: Extracting #6: cost 237 inf + 130403
429.336 * * [simplify]: Extracting #7: cost 8 inf + 241661
429.435 * * [simplify]: Extracting #8: cost 0 inf + 235967
429.517 * * [simplify]: Extracting #9: cost 0 inf + 235687
429.597 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))
429.597 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))))
429.599 * * * * [progress]: [ 555 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
429.599 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
429.600 * * [simplify]: iters left: 6 (53 enodes)
429.628 * * [simplify]: iters left: 5 (263 enodes)
429.736 * * [simplify]: Extracting #0: cost 1 inf + 0
429.736 * * [simplify]: Extracting #1: cost 3 inf + 0
429.736 * * [simplify]: Extracting #2: cost 6 inf + 0
429.736 * * [simplify]: Extracting #3: cost 60 inf + 0
429.736 * * [simplify]: Extracting #4: cost 153 inf + 0
429.737 * * [simplify]: Extracting #5: cost 228 inf + 85
429.738 * * [simplify]: Extracting #6: cost 285 inf + 5206
429.741 * * [simplify]: Extracting #7: cost 247 inf + 14249
429.745 * * [simplify]: Extracting #8: cost 176 inf + 27513
429.756 * * [simplify]: Extracting #9: cost 104 inf + 54317
429.770 * * [simplify]: Extracting #10: cost 49 inf + 81037
429.794 * * [simplify]: Extracting #11: cost 13 inf + 120217
429.846 * * [simplify]: Extracting #12: cost 0 inf + 136182
429.880 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
429.881 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
429.881 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
429.881 * * [simplify]: iters left: 6 (26 enodes)
429.891 * * [simplify]: iters left: 5 (121 enodes)
429.927 * * [simplify]: iters left: 4 (376 enodes)
430.167 * * [simplify]: Extracting #0: cost 1 inf + 0
430.167 * * [simplify]: Extracting #1: cost 3 inf + 0
430.167 * * [simplify]: Extracting #2: cost 67 inf + 0
430.168 * * [simplify]: Extracting #3: cost 319 inf + 0
430.170 * * [simplify]: Extracting #4: cost 448 inf + 209
430.173 * * [simplify]: Extracting #5: cost 479 inf + 6969
430.194 * * [simplify]: Extracting #6: cost 256 inf + 105750
430.263 * * [simplify]: Extracting #7: cost 12 inf + 216379
430.351 * * [simplify]: Extracting #8: cost 0 inf + 211093
430.431 * * [simplify]: Extracting #9: cost 0 inf + 210613
430.496 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))))
430.496 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)))))))
430.497 * * * * [progress]: [ 556 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
430.497 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
430.498 * * [simplify]: iters left: 6 (53 enodes)
430.517 * * [simplify]: iters left: 5 (263 enodes)
430.604 * * [simplify]: Extracting #0: cost 1 inf + 0
430.604 * * [simplify]: Extracting #1: cost 3 inf + 0
430.604 * * [simplify]: Extracting #2: cost 6 inf + 0
430.604 * * [simplify]: Extracting #3: cost 62 inf + 0
430.605 * * [simplify]: Extracting #4: cost 151 inf + 0
430.606 * * [simplify]: Extracting #5: cost 225 inf + 44
430.609 * * [simplify]: Extracting #6: cost 282 inf + 5167
430.615 * * [simplify]: Extracting #7: cost 244 inf + 14097
430.625 * * [simplify]: Extracting #8: cost 155 inf + 34000
430.635 * * [simplify]: Extracting #9: cost 79 inf + 60129
430.653 * * [simplify]: Extracting #10: cost 28 inf + 102511
430.683 * * [simplify]: Extracting #11: cost 2 inf + 128124
430.721 * * [simplify]: Extracting #12: cost 0 inf + 132334
430.754 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
430.754 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
430.755 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
430.756 * * [simplify]: iters left: 6 (26 enodes)
430.769 * * [simplify]: iters left: 5 (121 enodes)
430.796 * * [simplify]: iters left: 4 (374 enodes)
430.980 * * [simplify]: Extracting #0: cost 1 inf + 0
430.980 * * [simplify]: Extracting #1: cost 3 inf + 0
430.980 * * [simplify]: Extracting #2: cost 61 inf + 0
430.982 * * [simplify]: Extracting #3: cost 304 inf + 0
430.985 * * [simplify]: Extracting #4: cost 411 inf + 738
430.988 * * [simplify]: Extracting #5: cost 434 inf + 8758
431.005 * * [simplify]: Extracting #6: cost 245 inf + 90803
431.084 * * [simplify]: Extracting #7: cost 12 inf + 195974
431.155 * * [simplify]: Extracting #8: cost 0 inf + 191896
431.218 * * [simplify]: Extracting #9: cost 0 inf + 191416
431.291 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
431.291 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
431.291 * * * * [progress]: [ 557 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
431.292 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
431.292 * * [simplify]: iters left: 6 (47 enodes)
431.310 * * [simplify]: iters left: 5 (227 enodes)
431.404 * * [simplify]: Extracting #0: cost 1 inf + 0
431.405 * * [simplify]: Extracting #1: cost 3 inf + 0
431.405 * * [simplify]: Extracting #2: cost 6 inf + 0
431.405 * * [simplify]: Extracting #3: cost 54 inf + 0
431.405 * * [simplify]: Extracting #4: cost 119 inf + 0
431.406 * * [simplify]: Extracting #5: cost 173 inf + 44
431.408 * * [simplify]: Extracting #6: cost 252 inf + 1476
431.410 * * [simplify]: Extracting #7: cost 242 inf + 3671
431.418 * * [simplify]: Extracting #8: cost 148 inf + 23231
431.431 * * [simplify]: Extracting #9: cost 48 inf + 67774
431.451 * * [simplify]: Extracting #10: cost 13 inf + 94702
431.475 * * [simplify]: Extracting #11: cost 1 inf + 106368
431.506 * * [simplify]: Extracting #12: cost 0 inf + 107193
431.529 * * [simplify]: Extracting #13: cost 0 inf + 107073
431.558 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
431.558 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
431.559 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
431.559 * * [simplify]: iters left: 6 (21 enodes)
431.564 * * [simplify]: iters left: 5 (99 enodes)
431.588 * * [simplify]: iters left: 4 (304 enodes)
431.714 * * [simplify]: Extracting #0: cost 1 inf + 0
431.714 * * [simplify]: Extracting #1: cost 3 inf + 0
431.714 * * [simplify]: Extracting #2: cost 35 inf + 0
431.714 * * [simplify]: Extracting #3: cost 155 inf + 0
431.715 * * [simplify]: Extracting #4: cost 243 inf + 2
431.716 * * [simplify]: Extracting #5: cost 310 inf + 416
431.722 * * [simplify]: Extracting #6: cost 198 inf + 28230
431.753 * * [simplify]: Extracting #7: cost 25 inf + 94646
431.780 * * [simplify]: Extracting #8: cost 0 inf + 99036
431.821 * * [simplify]: Extracting #9: cost 0 inf + 97796
431.850 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
431.850 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
431.851 * * * * [progress]: [ 558 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
431.852 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
431.852 * * [simplify]: iters left: 6 (52 enodes)
431.882 * * [simplify]: iters left: 5 (255 enodes)
431.983 * * [simplify]: Extracting #0: cost 1 inf + 0
431.983 * * [simplify]: Extracting #1: cost 3 inf + 0
431.983 * * [simplify]: Extracting #2: cost 10 inf + 0
431.983 * * [simplify]: Extracting #3: cost 74 inf + 0
431.984 * * [simplify]: Extracting #4: cost 137 inf + 1
431.984 * * [simplify]: Extracting #5: cost 195 inf + 207
431.985 * * [simplify]: Extracting #6: cost 279 inf + 1557
431.987 * * [simplify]: Extracting #7: cost 258 inf + 6324
431.992 * * [simplify]: Extracting #8: cost 177 inf + 23002
431.999 * * [simplify]: Extracting #9: cost 108 inf + 44479
432.022 * * [simplify]: Extracting #10: cost 47 inf + 75692
432.049 * * [simplify]: Extracting #11: cost 9 inf + 111419
432.084 * * [simplify]: Extracting #12: cost 1 inf + 121019
432.129 * * [simplify]: Extracting #13: cost 0 inf + 123044
432.157 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
432.157 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
432.158 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
432.158 * * [simplify]: iters left: 6 (24 enodes)
432.169 * * [simplify]: iters left: 5 (112 enodes)
432.209 * * [simplify]: iters left: 4 (321 enodes)
432.355 * * [simplify]: Extracting #0: cost 1 inf + 0
432.355 * * [simplify]: Extracting #1: cost 3 inf + 0
432.355 * * [simplify]: Extracting #2: cost 33 inf + 0
432.356 * * [simplify]: Extracting #3: cost 143 inf + 0
432.357 * * [simplify]: Extracting #4: cost 249 inf + 290
432.360 * * [simplify]: Extracting #5: cost 316 inf + 904
432.367 * * [simplify]: Extracting #6: cost 231 inf + 18888
432.394 * * [simplify]: Extracting #7: cost 87 inf + 69722
432.438 * * [simplify]: Extracting #8: cost 4 inf + 109005
432.472 * * [simplify]: Extracting #9: cost 0 inf + 111259
432.507 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
432.507 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))))
432.508 * * * * [progress]: [ 559 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
432.509 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
432.509 * * [simplify]: iters left: 6 (47 enodes)
432.531 * * [simplify]: iters left: 5 (227 enodes)
432.625 * * [simplify]: Extracting #0: cost 1 inf + 0
432.625 * * [simplify]: Extracting #1: cost 3 inf + 0
432.625 * * [simplify]: Extracting #2: cost 10 inf + 0
432.626 * * [simplify]: Extracting #3: cost 66 inf + 0
432.626 * * [simplify]: Extracting #4: cost 117 inf + 44
432.627 * * [simplify]: Extracting #5: cost 158 inf + 1226
432.629 * * [simplify]: Extracting #6: cost 241 inf + 2972
432.632 * * [simplify]: Extracting #7: cost 240 inf + 3789
432.641 * * [simplify]: Extracting #8: cost 140 inf + 30753
432.662 * * [simplify]: Extracting #9: cost 52 inf + 66080
432.685 * * [simplify]: Extracting #10: cost 3 inf + 98528
432.705 * * [simplify]: Extracting #11: cost 1 inf + 101258
432.745 * * [simplify]: Extracting #12: cost 0 inf + 103043
432.773 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
432.773 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
432.774 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
432.774 * * [simplify]: iters left: 6 (20 enodes)
432.779 * * [simplify]: iters left: 5 (94 enodes)
432.796 * * [simplify]: iters left: 4 (264 enodes)
432.899 * * [simplify]: Extracting #0: cost 1 inf + 0
432.899 * * [simplify]: Extracting #1: cost 3 inf + 0
432.899 * * [simplify]: Extracting #2: cost 23 inf + 0
432.899 * * [simplify]: Extracting #3: cost 70 inf + 0
432.900 * * [simplify]: Extracting #4: cost 141 inf + 2
432.902 * * [simplify]: Extracting #5: cost 216 inf + 44
432.906 * * [simplify]: Extracting #6: cost 154 inf + 10571
432.925 * * [simplify]: Extracting #7: cost 39 inf + 42947
432.955 * * [simplify]: Extracting #8: cost 1 inf + 59896
432.971 * * [simplify]: Extracting #9: cost 0 inf + 56979
432.990 * * [simplify]: Extracting #10: cost 0 inf + 56819
433.020 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))
433.020 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))))
433.021 * * * * [progress]: [ 560 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
433.021 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
433.022 * * [simplify]: iters left: 6 (52 enodes)
433.048 * * [simplify]: iters left: 5 (255 enodes)
433.127 * * [simplify]: Extracting #0: cost 1 inf + 0
433.127 * * [simplify]: Extracting #1: cost 3 inf + 0
433.127 * * [simplify]: Extracting #2: cost 10 inf + 0
433.127 * * [simplify]: Extracting #3: cost 74 inf + 0
433.128 * * [simplify]: Extracting #4: cost 137 inf + 1
433.129 * * [simplify]: Extracting #5: cost 195 inf + 207
433.131 * * [simplify]: Extracting #6: cost 271 inf + 3531
433.135 * * [simplify]: Extracting #7: cost 253 inf + 7583
433.141 * * [simplify]: Extracting #8: cost 177 inf + 22962
433.155 * * [simplify]: Extracting #9: cost 104 inf + 48054
433.184 * * [simplify]: Extracting #10: cost 44 inf + 78984
433.207 * * [simplify]: Extracting #11: cost 10 inf + 111554
433.249 * * [simplify]: Extracting #12: cost 1 inf + 121979
433.290 * * [simplify]: Extracting #13: cost 0 inf + 124004
433.322 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
433.322 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
433.324 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
433.324 * * [simplify]: iters left: 6 (24 enodes)
433.337 * * [simplify]: iters left: 5 (112 enodes)
433.362 * * [simplify]: iters left: 4 (321 enodes)
433.475 * * [simplify]: Extracting #0: cost 1 inf + 0
433.476 * * [simplify]: Extracting #1: cost 3 inf + 0
433.476 * * [simplify]: Extracting #2: cost 33 inf + 0
433.476 * * [simplify]: Extracting #3: cost 143 inf + 0
433.482 * * [simplify]: Extracting #4: cost 249 inf + 290
433.485 * * [simplify]: Extracting #5: cost 316 inf + 904
433.491 * * [simplify]: Extracting #6: cost 231 inf + 18888
433.506 * * [simplify]: Extracting #7: cost 87 inf + 69722
433.542 * * [simplify]: Extracting #8: cost 4 inf + 109005
433.600 * * [simplify]: Extracting #9: cost 0 inf + 111259
433.645 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
433.645 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))))
433.646 * * * * [progress]: [ 561 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
433.646 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
433.647 * * [simplify]: iters left: 6 (47 enodes)
433.659 * * [simplify]: iters left: 5 (227 enodes)
433.708 * * [simplify]: Extracting #0: cost 1 inf + 0
433.708 * * [simplify]: Extracting #1: cost 3 inf + 0
433.708 * * [simplify]: Extracting #2: cost 10 inf + 0
433.709 * * [simplify]: Extracting #3: cost 65 inf + 0
433.709 * * [simplify]: Extracting #4: cost 117 inf + 44
433.713 * * [simplify]: Extracting #5: cost 161 inf + 740
433.715 * * [simplify]: Extracting #6: cost 244 inf + 2406
433.717 * * [simplify]: Extracting #7: cost 242 inf + 3506
433.721 * * [simplify]: Extracting #8: cost 147 inf + 26430
433.731 * * [simplify]: Extracting #9: cost 57 inf + 62758
433.749 * * [simplify]: Extracting #10: cost 3 inf + 99968
433.788 * * [simplify]: Extracting #11: cost 1 inf + 101898
433.832 * * [simplify]: Extracting #12: cost 0 inf + 103683
433.872 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
433.872 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
433.874 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
433.874 * * [simplify]: iters left: 6 (20 enodes)
433.883 * * [simplify]: iters left: 5 (94 enodes)
433.918 * * [simplify]: iters left: 4 (264 enodes)
434.036 * * [simplify]: Extracting #0: cost 1 inf + 0
434.036 * * [simplify]: Extracting #1: cost 3 inf + 0
434.037 * * [simplify]: Extracting #2: cost 23 inf + 0
434.037 * * [simplify]: Extracting #3: cost 70 inf + 0
434.037 * * [simplify]: Extracting #4: cost 141 inf + 2
434.038 * * [simplify]: Extracting #5: cost 216 inf + 44
434.042 * * [simplify]: Extracting #6: cost 154 inf + 10571
434.058 * * [simplify]: Extracting #7: cost 39 inf + 42947
434.074 * * [simplify]: Extracting #8: cost 1 inf + 59896
434.099 * * [simplify]: Extracting #9: cost 0 inf + 56979
434.121 * * [simplify]: Extracting #10: cost 0 inf + 56819
434.137 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))
434.137 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))))
434.137 * * * * [progress]: [ 562 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
434.138 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
434.138 * * [simplify]: iters left: 6 (52 enodes)
434.153 * * [simplify]: iters left: 5 (254 enodes)
434.231 * * [simplify]: Extracting #0: cost 1 inf + 0
434.231 * * [simplify]: Extracting #1: cost 3 inf + 0
434.231 * * [simplify]: Extracting #2: cost 6 inf + 0
434.231 * * [simplify]: Extracting #3: cost 56 inf + 0
434.232 * * [simplify]: Extracting #4: cost 130 inf + 0
434.233 * * [simplify]: Extracting #5: cost 210 inf + 0
434.234 * * [simplify]: Extracting #6: cost 301 inf + 882
434.238 * * [simplify]: Extracting #7: cost 250 inf + 11495
434.246 * * [simplify]: Extracting #8: cost 160 inf + 32688
434.256 * * [simplify]: Extracting #9: cost 103 inf + 52357
434.277 * * [simplify]: Extracting #10: cost 14 inf + 116960
434.307 * * [simplify]: Extracting #11: cost 1 inf + 130485
434.349 * * [simplify]: Extracting #12: cost 0 inf + 132590
434.378 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))))))
434.378 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
434.379 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
434.379 * * [simplify]: iters left: 6 (25 enodes)
434.385 * * [simplify]: iters left: 5 (117 enodes)
434.418 * * [simplify]: iters left: 4 (379 enodes)
434.644 * * [simplify]: Extracting #0: cost 1 inf + 0
434.644 * * [simplify]: Extracting #1: cost 3 inf + 0
434.645 * * [simplify]: Extracting #2: cost 45 inf + 0
434.646 * * [simplify]: Extracting #3: cost 308 inf + 0
434.649 * * [simplify]: Extracting #4: cost 497 inf + 855
434.661 * * [simplify]: Extracting #5: cost 448 inf + 25202
434.694 * * [simplify]: Extracting #6: cost 195 inf + 136855
434.797 * * [simplify]: Extracting #7: cost 0 inf + 227367
434.890 * * [simplify]: Extracting #8: cost 0 inf + 226967
434.966 * [simplify]: Simplified to (sqrt (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2)))))
434.966 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))))))))
434.966 * * * * [progress]: [ 563 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
434.967 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
434.967 * * [simplify]: iters left: 6 (53 enodes)
434.984 * * [simplify]: iters left: 5 (263 enodes)
435.046 * * [simplify]: Extracting #0: cost 1 inf + 0
435.046 * * [simplify]: Extracting #1: cost 3 inf + 0
435.046 * * [simplify]: Extracting #2: cost 6 inf + 0
435.046 * * [simplify]: Extracting #3: cost 60 inf + 0
435.047 * * [simplify]: Extracting #4: cost 153 inf + 0
435.047 * * [simplify]: Extracting #5: cost 223 inf + 85
435.049 * * [simplify]: Extracting #6: cost 274 inf + 6018
435.052 * * [simplify]: Extracting #7: cost 238 inf + 15028
435.060 * * [simplify]: Extracting #8: cost 163 inf + 31393
435.067 * * [simplify]: Extracting #9: cost 108 inf + 50088
435.080 * * [simplify]: Extracting #10: cost 54 inf + 77941
435.121 * * [simplify]: Extracting #11: cost 12 inf + 120947
435.176 * * [simplify]: Extracting #12: cost 0 inf + 135407
435.209 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
435.210 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
435.210 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
435.211 * * [simplify]: iters left: 6 (26 enodes)
435.219 * * [simplify]: iters left: 5 (121 enodes)
435.260 * * [simplify]: iters left: 4 (376 enodes)
435.487 * * [simplify]: Extracting #0: cost 1 inf + 0
435.487 * * [simplify]: Extracting #1: cost 3 inf + 0
435.488 * * [simplify]: Extracting #2: cost 67 inf + 0
435.488 * * [simplify]: Extracting #3: cost 319 inf + 0
435.490 * * [simplify]: Extracting #4: cost 444 inf + 209
435.497 * * [simplify]: Extracting #5: cost 451 inf + 11359
435.527 * * [simplify]: Extracting #6: cost 204 inf + 110098
435.603 * * [simplify]: Extracting #7: cost 7 inf + 200517
435.688 * * [simplify]: Extracting #8: cost 0 inf + 202813
435.754 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))))
435.754 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)))))))
435.755 * * * * [progress]: [ 564 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
435.755 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
435.756 * * [simplify]: iters left: 6 (53 enodes)
435.784 * * [simplify]: iters left: 5 (263 enodes)
435.847 * * [simplify]: Extracting #0: cost 1 inf + 0
435.847 * * [simplify]: Extracting #1: cost 3 inf + 0
435.847 * * [simplify]: Extracting #2: cost 6 inf + 0
435.848 * * [simplify]: Extracting #3: cost 62 inf + 0
435.848 * * [simplify]: Extracting #4: cost 151 inf + 0
435.849 * * [simplify]: Extracting #5: cost 220 inf + 44
435.852 * * [simplify]: Extracting #6: cost 279 inf + 3882
435.861 * * [simplify]: Extracting #7: cost 238 inf + 14275
435.874 * * [simplify]: Extracting #8: cost 130 inf + 46775
435.901 * * [simplify]: Extracting #9: cost 49 inf + 79658
435.939 * * [simplify]: Extracting #10: cost 16 inf + 111279
435.967 * * [simplify]: Extracting #11: cost 0 inf + 130439
436.009 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
436.009 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
436.009 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
436.010 * * [simplify]: iters left: 6 (26 enodes)
436.017 * * [simplify]: iters left: 5 (121 enodes)
436.041 * * [simplify]: iters left: 4 (374 enodes)
436.299 * * [simplify]: Extracting #0: cost 1 inf + 0
436.299 * * [simplify]: Extracting #1: cost 3 inf + 0
436.300 * * [simplify]: Extracting #2: cost 61 inf + 0
436.301 * * [simplify]: Extracting #3: cost 304 inf + 0
436.304 * * [simplify]: Extracting #4: cost 407 inf + 738
436.315 * * [simplify]: Extracting #5: cost 407 inf + 12945
436.333 * * [simplify]: Extracting #6: cost 204 inf + 94570
436.377 * * [simplify]: Extracting #7: cost 5 inf + 181402
436.436 * * [simplify]: Extracting #8: cost 0 inf + 183336
436.505 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
436.505 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
436.506 * * * * [progress]: [ 565 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
436.507 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
436.507 * * [simplify]: iters left: 6 (47 enodes)
436.533 * * [simplify]: iters left: 5 (227 enodes)
436.625 * * [simplify]: Extracting #0: cost 1 inf + 0
436.625 * * [simplify]: Extracting #1: cost 3 inf + 0
436.625 * * [simplify]: Extracting #2: cost 6 inf + 0
436.625 * * [simplify]: Extracting #3: cost 54 inf + 0
436.626 * * [simplify]: Extracting #4: cost 119 inf + 0
436.626 * * [simplify]: Extracting #5: cost 168 inf + 44
436.628 * * [simplify]: Extracting #6: cost 247 inf + 1277
436.631 * * [simplify]: Extracting #7: cost 225 inf + 5428
436.637 * * [simplify]: Extracting #8: cost 161 inf + 17559
436.649 * * [simplify]: Extracting #9: cost 109 inf + 38751
436.668 * * [simplify]: Extracting #10: cost 49 inf + 63000
436.700 * * [simplify]: Extracting #11: cost 12 inf + 91678
436.739 * * [simplify]: Extracting #12: cost 1 inf + 104513
436.761 * * [simplify]: Extracting #13: cost 0 inf + 106378
436.798 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
436.798 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
436.800 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))
436.800 * * [simplify]: iters left: 6 (21 enodes)
436.810 * * [simplify]: iters left: 5 (99 enodes)
436.835 * * [simplify]: iters left: 4 (304 enodes)
436.958 * * [simplify]: Extracting #0: cost 1 inf + 0
436.958 * * [simplify]: Extracting #1: cost 3 inf + 0
436.958 * * [simplify]: Extracting #2: cost 35 inf + 0
436.959 * * [simplify]: Extracting #3: cost 155 inf + 0
436.960 * * [simplify]: Extracting #4: cost 239 inf + 2
436.962 * * [simplify]: Extracting #5: cost 295 inf + 1316
436.972 * * [simplify]: Extracting #6: cost 187 inf + 27718
436.994 * * [simplify]: Extracting #7: cost 19 inf + 87306
437.030 * * [simplify]: Extracting #8: cost 0 inf + 94996
437.077 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))
437.078 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
437.079 * * * * [progress]: [ 566 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
437.079 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
437.080 * * [simplify]: iters left: 6 (52 enodes)
437.107 * * [simplify]: iters left: 5 (255 enodes)
437.201 * * [simplify]: Extracting #0: cost 1 inf + 0
437.201 * * [simplify]: Extracting #1: cost 3 inf + 0
437.201 * * [simplify]: Extracting #2: cost 10 inf + 0
437.201 * * [simplify]: Extracting #3: cost 74 inf + 0
437.201 * * [simplify]: Extracting #4: cost 137 inf + 1
437.202 * * [simplify]: Extracting #5: cost 190 inf + 207
437.203 * * [simplify]: Extracting #6: cost 267 inf + 2211
437.204 * * [simplify]: Extracting #7: cost 235 inf + 9796
437.208 * * [simplify]: Extracting #8: cost 170 inf + 24284
437.215 * * [simplify]: Extracting #9: cost 111 inf + 44231
437.227 * * [simplify]: Extracting #10: cost 45 inf + 75706
437.248 * * [simplify]: Extracting #11: cost 11 inf + 108354
437.275 * * [simplify]: Extracting #12: cost 1 inf + 119844
437.307 * * [simplify]: Extracting #13: cost 0 inf + 121869
437.355 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))))
437.355 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
437.356 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
437.357 * * [simplify]: iters left: 6 (24 enodes)
437.369 * * [simplify]: iters left: 5 (112 enodes)
437.411 * * [simplify]: iters left: 4 (321 enodes)
437.581 * * [simplify]: Extracting #0: cost 1 inf + 0
437.581 * * [simplify]: Extracting #1: cost 3 inf + 0
437.581 * * [simplify]: Extracting #2: cost 33 inf + 0
437.581 * * [simplify]: Extracting #3: cost 143 inf + 0
437.583 * * [simplify]: Extracting #4: cost 245 inf + 290
437.586 * * [simplify]: Extracting #5: cost 300 inf + 2049
437.597 * * [simplify]: Extracting #6: cost 200 inf + 31013
437.640 * * [simplify]: Extracting #7: cost 14 inf + 102703
437.697 * * [simplify]: Extracting #8: cost 0 inf + 108419
437.737 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
437.737 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))) (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))))
437.737 * * * * [progress]: [ 567 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
437.738 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
437.738 * * [simplify]: iters left: 6 (47 enodes)
437.750 * * [simplify]: iters left: 5 (227 enodes)
437.827 * * [simplify]: Extracting #0: cost 1 inf + 0
437.827 * * [simplify]: Extracting #1: cost 3 inf + 0
437.827 * * [simplify]: Extracting #2: cost 10 inf + 0
437.827 * * [simplify]: Extracting #3: cost 66 inf + 0
437.827 * * [simplify]: Extracting #4: cost 117 inf + 44
437.828 * * [simplify]: Extracting #5: cost 152 inf + 1348
437.829 * * [simplify]: Extracting #6: cost 234 inf + 3016
437.831 * * [simplify]: Extracting #7: cost 219 inf + 5912
437.836 * * [simplify]: Extracting #8: cost 107 inf + 38367
437.853 * * [simplify]: Extracting #9: cost 47 inf + 64679
437.870 * * [simplify]: Extracting #10: cost 7 inf + 95919
437.896 * * [simplify]: Extracting #11: cost 1 inf + 102003
437.935 * * [simplify]: Extracting #12: cost 0 inf + 103788
437.975 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
437.976 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
437.977 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
437.977 * * [simplify]: iters left: 6 (20 enodes)
437.987 * * [simplify]: iters left: 5 (94 enodes)
438.005 * * [simplify]: iters left: 4 (264 enodes)
438.115 * * [simplify]: Extracting #0: cost 1 inf + 0
438.115 * * [simplify]: Extracting #1: cost 3 inf + 0
438.115 * * [simplify]: Extracting #2: cost 23 inf + 0
438.116 * * [simplify]: Extracting #3: cost 70 inf + 0
438.116 * * [simplify]: Extracting #4: cost 137 inf + 2
438.118 * * [simplify]: Extracting #5: cost 207 inf + 88
438.121 * * [simplify]: Extracting #6: cost 155 inf + 9250
438.137 * * [simplify]: Extracting #7: cost 37 inf + 39512
438.154 * * [simplify]: Extracting #8: cost 1 inf + 54936
438.169 * * [simplify]: Extracting #9: cost 0 inf + 55379
438.197 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2)))))
438.197 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))))))))
438.198 * * * * [progress]: [ 568 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
438.198 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
438.199 * * [simplify]: iters left: 6 (52 enodes)
438.226 * * [simplify]: iters left: 5 (255 enodes)
438.307 * * [simplify]: Extracting #0: cost 1 inf + 0
438.307 * * [simplify]: Extracting #1: cost 3 inf + 0
438.307 * * [simplify]: Extracting #2: cost 10 inf + 0
438.307 * * [simplify]: Extracting #3: cost 74 inf + 0
438.308 * * [simplify]: Extracting #4: cost 137 inf + 1
438.309 * * [simplify]: Extracting #5: cost 190 inf + 207
438.311 * * [simplify]: Extracting #6: cost 262 inf + 3419
438.314 * * [simplify]: Extracting #7: cost 229 inf + 11894
438.318 * * [simplify]: Extracting #8: cost 169 inf + 24376
438.324 * * [simplify]: Extracting #9: cost 116 inf + 41268
438.338 * * [simplify]: Extracting #10: cost 56 inf + 68311
438.370 * * [simplify]: Extracting #11: cost 10 inf + 111339
438.416 * * [simplify]: Extracting #12: cost 1 inf + 120804
438.451 * * [simplify]: Extracting #13: cost 0 inf + 122829
438.485 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))))
438.485 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
438.487 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
438.487 * * [simplify]: iters left: 6 (24 enodes)
438.499 * * [simplify]: iters left: 5 (112 enodes)
438.542 * * [simplify]: iters left: 4 (321 enodes)
438.725 * * [simplify]: Extracting #0: cost 1 inf + 0
438.725 * * [simplify]: Extracting #1: cost 3 inf + 0
438.725 * * [simplify]: Extracting #2: cost 33 inf + 0
438.726 * * [simplify]: Extracting #3: cost 143 inf + 0
438.727 * * [simplify]: Extracting #4: cost 245 inf + 290
438.735 * * [simplify]: Extracting #5: cost 300 inf + 2049
438.746 * * [simplify]: Extracting #6: cost 200 inf + 31013
438.772 * * [simplify]: Extracting #7: cost 14 inf + 102703
438.813 * * [simplify]: Extracting #8: cost 0 inf + 108419
438.842 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
438.842 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))) (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))))
438.843 * * * * [progress]: [ 569 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
438.843 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
438.843 * * [simplify]: iters left: 6 (47 enodes)
438.857 * * [simplify]: iters left: 5 (227 enodes)
438.906 * * [simplify]: Extracting #0: cost 1 inf + 0
438.906 * * [simplify]: Extracting #1: cost 3 inf + 0
438.906 * * [simplify]: Extracting #2: cost 10 inf + 0
438.906 * * [simplify]: Extracting #3: cost 65 inf + 0
438.906 * * [simplify]: Extracting #4: cost 117 inf + 44
438.907 * * [simplify]: Extracting #5: cost 156 inf + 740
438.908 * * [simplify]: Extracting #6: cost 239 inf + 2286
438.909 * * [simplify]: Extracting #7: cost 226 inf + 5139
438.915 * * [simplify]: Extracting #8: cost 111 inf + 37782
438.930 * * [simplify]: Extracting #9: cost 48 inf + 64867
438.947 * * [simplify]: Extracting #10: cost 7 inf + 97172
438.967 * * [simplify]: Extracting #11: cost 1 inf + 102403
438.991 * * [simplify]: Extracting #12: cost 0 inf + 104188
439.027 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
439.027 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
439.028 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
439.028 * * [simplify]: iters left: 6 (20 enodes)
439.032 * * [simplify]: iters left: 5 (94 enodes)
439.052 * * [simplify]: iters left: 4 (264 enodes)
439.161 * * [simplify]: Extracting #0: cost 1 inf + 0
439.161 * * [simplify]: Extracting #1: cost 3 inf + 0
439.161 * * [simplify]: Extracting #2: cost 23 inf + 0
439.162 * * [simplify]: Extracting #3: cost 70 inf + 0
439.162 * * [simplify]: Extracting #4: cost 137 inf + 2
439.164 * * [simplify]: Extracting #5: cost 207 inf + 88
439.168 * * [simplify]: Extracting #6: cost 155 inf + 9250
439.185 * * [simplify]: Extracting #7: cost 37 inf + 39512
439.212 * * [simplify]: Extracting #8: cost 1 inf + 54936
439.234 * * [simplify]: Extracting #9: cost 0 inf + 55379
439.255 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2)))))
439.255 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))))))))
439.256 * * * * [progress]: [ 570 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
439.257 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
439.257 * * [simplify]: iters left: 6 (52 enodes)
439.291 * * [simplify]: iters left: 5 (255 enodes)
439.391 * * [simplify]: Extracting #0: cost 1 inf + 0
439.391 * * [simplify]: Extracting #1: cost 3 inf + 0
439.391 * * [simplify]: Extracting #2: cost 6 inf + 0
439.391 * * [simplify]: Extracting #3: cost 56 inf + 0
439.391 * * [simplify]: Extracting #4: cost 130 inf + 0
439.392 * * [simplify]: Extracting #5: cost 214 inf + 0
439.392 * * [simplify]: Extracting #6: cost 311 inf + 893
439.394 * * [simplify]: Extracting #7: cost 265 inf + 8475
439.399 * * [simplify]: Extracting #8: cost 135 inf + 43676
439.420 * * [simplify]: Extracting #9: cost 59 inf + 70602
439.453 * * [simplify]: Extracting #10: cost 13 inf + 113680
439.482 * * [simplify]: Extracting #11: cost 1 inf + 127540
439.513 * * [simplify]: Extracting #12: cost 0 inf + 129565
439.560 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
439.560 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
439.561 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
439.562 * * [simplify]: iters left: 6 (25 enodes)
439.571 * * [simplify]: iters left: 5 (117 enodes)
439.594 * * [simplify]: iters left: 4 (379 enodes)
439.891 * * [simplify]: Extracting #0: cost 1 inf + 0
439.892 * * [simplify]: Extracting #1: cost 3 inf + 0
439.892 * * [simplify]: Extracting #2: cost 45 inf + 0
439.893 * * [simplify]: Extracting #3: cost 308 inf + 0
439.896 * * [simplify]: Extracting #4: cost 501 inf + 855
439.906 * * [simplify]: Extracting #5: cost 478 inf + 19285
439.950 * * [simplify]: Extracting #6: cost 237 inf + 130403
440.021 * * [simplify]: Extracting #7: cost 8 inf + 241661
440.104 * * [simplify]: Extracting #8: cost 0 inf + 235967
440.222 * * [simplify]: Extracting #9: cost 0 inf + 235687
440.329 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))
440.329 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))))
440.330 * * * * [progress]: [ 571 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
440.330 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
440.331 * * [simplify]: iters left: 6 (53 enodes)
440.351 * * [simplify]: iters left: 5 (264 enodes)
440.438 * * [simplify]: Extracting #0: cost 1 inf + 0
440.438 * * [simplify]: Extracting #1: cost 3 inf + 0
440.438 * * [simplify]: Extracting #2: cost 6 inf + 0
440.438 * * [simplify]: Extracting #3: cost 60 inf + 0
440.439 * * [simplify]: Extracting #4: cost 153 inf + 0
440.440 * * [simplify]: Extracting #5: cost 228 inf + 44
440.443 * * [simplify]: Extracting #6: cost 290 inf + 4399
440.447 * * [simplify]: Extracting #7: cost 261 inf + 10989
440.451 * * [simplify]: Extracting #8: cost 184 inf + 25031
440.459 * * [simplify]: Extracting #9: cost 98 inf + 56297
440.473 * * [simplify]: Extracting #10: cost 55 inf + 78329
440.510 * * [simplify]: Extracting #11: cost 13 inf + 119257
440.553 * * [simplify]: Extracting #12: cost 0 inf + 134822
440.580 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
440.580 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
440.581 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
440.581 * * [simplify]: iters left: 6 (26 enodes)
440.587 * * [simplify]: iters left: 5 (121 enodes)
440.612 * * [simplify]: iters left: 4 (376 enodes)
440.851 * * [simplify]: Extracting #0: cost 1 inf + 0
440.852 * * [simplify]: Extracting #1: cost 3 inf + 0
440.852 * * [simplify]: Extracting #2: cost 67 inf + 0
440.853 * * [simplify]: Extracting #3: cost 319 inf + 0
440.856 * * [simplify]: Extracting #4: cost 448 inf + 209
440.860 * * [simplify]: Extracting #5: cost 479 inf + 6969
440.880 * * [simplify]: Extracting #6: cost 256 inf + 105750
440.954 * * [simplify]: Extracting #7: cost 12 inf + 216379
441.026 * * [simplify]: Extracting #8: cost 0 inf + 211093
441.105 * * [simplify]: Extracting #9: cost 0 inf + 210613
441.185 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))))
441.185 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)))))))
441.186 * * * * [progress]: [ 572 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
441.187 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
441.187 * * [simplify]: iters left: 6 (53 enodes)
441.214 * * [simplify]: iters left: 5 (264 enodes)
441.282 * * [simplify]: Extracting #0: cost 1 inf + 0
441.282 * * [simplify]: Extracting #1: cost 3 inf + 0
441.282 * * [simplify]: Extracting #2: cost 6 inf + 0
441.282 * * [simplify]: Extracting #3: cost 62 inf + 0
441.282 * * [simplify]: Extracting #4: cost 151 inf + 0
441.283 * * [simplify]: Extracting #5: cost 224 inf + 44
441.284 * * [simplify]: Extracting #6: cost 294 inf + 3262
441.286 * * [simplify]: Extracting #7: cost 251 inf + 12383
441.291 * * [simplify]: Extracting #8: cost 178 inf + 25058
441.302 * * [simplify]: Extracting #9: cost 100 inf + 56009
441.328 * * [simplify]: Extracting #10: cost 48 inf + 80374
441.369 * * [simplify]: Extracting #11: cost 12 inf + 116874
441.412 * * [simplify]: Extracting #12: cost 0 inf + 131734
441.458 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
441.458 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
441.459 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
441.459 * * [simplify]: iters left: 6 (26 enodes)
441.472 * * [simplify]: iters left: 5 (121 enodes)
441.515 * * [simplify]: iters left: 4 (374 enodes)
441.736 * * [simplify]: Extracting #0: cost 1 inf + 0
441.736 * * [simplify]: Extracting #1: cost 3 inf + 0
441.736 * * [simplify]: Extracting #2: cost 61 inf + 0
441.737 * * [simplify]: Extracting #3: cost 304 inf + 0
441.740 * * [simplify]: Extracting #4: cost 411 inf + 738
441.746 * * [simplify]: Extracting #5: cost 434 inf + 8758
441.782 * * [simplify]: Extracting #6: cost 245 inf + 90803
441.847 * * [simplify]: Extracting #7: cost 12 inf + 195974
441.915 * * [simplify]: Extracting #8: cost 0 inf + 191896
441.981 * * [simplify]: Extracting #9: cost 0 inf + 191416
442.064 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
442.064 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
442.065 * * * * [progress]: [ 573 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
442.065 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
442.065 * * [simplify]: iters left: 6 (47 enodes)
442.078 * * [simplify]: iters left: 5 (228 enodes)
442.137 * * [simplify]: Extracting #0: cost 1 inf + 0
442.137 * * [simplify]: Extracting #1: cost 3 inf + 0
442.137 * * [simplify]: Extracting #2: cost 6 inf + 0
442.137 * * [simplify]: Extracting #3: cost 54 inf + 0
442.138 * * [simplify]: Extracting #4: cost 119 inf + 0
442.139 * * [simplify]: Extracting #5: cost 172 inf + 44
442.140 * * [simplify]: Extracting #6: cost 254 inf + 1192
442.143 * * [simplify]: Extracting #7: cost 236 inf + 4163
442.147 * * [simplify]: Extracting #8: cost 161 inf + 18905
442.157 * * [simplify]: Extracting #9: cost 89 inf + 43031
442.173 * * [simplify]: Extracting #10: cost 19 inf + 90915
442.208 * * [simplify]: Extracting #11: cost 1 inf + 105328
442.242 * * [simplify]: Extracting #12: cost 0 inf + 107153
442.263 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
442.263 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
442.264 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
442.264 * * [simplify]: iters left: 6 (21 enodes)
442.272 * * [simplify]: iters left: 5 (99 enodes)
442.313 * * [simplify]: iters left: 4 (304 enodes)
442.479 * * [simplify]: Extracting #0: cost 1 inf + 0
442.479 * * [simplify]: Extracting #1: cost 3 inf + 0
442.479 * * [simplify]: Extracting #2: cost 35 inf + 0
442.480 * * [simplify]: Extracting #3: cost 155 inf + 0
442.481 * * [simplify]: Extracting #4: cost 243 inf + 2
442.483 * * [simplify]: Extracting #5: cost 310 inf + 416
442.493 * * [simplify]: Extracting #6: cost 198 inf + 28230
442.538 * * [simplify]: Extracting #7: cost 25 inf + 94646
442.588 * * [simplify]: Extracting #8: cost 0 inf + 99036
442.636 * * [simplify]: Extracting #9: cost 0 inf + 97796
442.685 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
442.685 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
442.686 * * * * [progress]: [ 574 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
442.687 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
442.687 * * [simplify]: iters left: 6 (52 enodes)
442.716 * * [simplify]: iters left: 5 (256 enodes)
442.799 * * [simplify]: Extracting #0: cost 1 inf + 0
442.799 * * [simplify]: Extracting #1: cost 3 inf + 0
442.799 * * [simplify]: Extracting #2: cost 10 inf + 0
442.799 * * [simplify]: Extracting #3: cost 74 inf + 0
442.800 * * [simplify]: Extracting #4: cost 136 inf + 42
442.801 * * [simplify]: Extracting #5: cost 194 inf + 207
442.803 * * [simplify]: Extracting #6: cost 276 inf + 2162
442.806 * * [simplify]: Extracting #7: cost 252 inf + 8117
442.813 * * [simplify]: Extracting #8: cost 179 inf + 22960
442.831 * * [simplify]: Extracting #9: cost 105 inf + 45348
442.844 * * [simplify]: Extracting #10: cost 41 inf + 79341
442.874 * * [simplify]: Extracting #11: cost 2 inf + 119314
442.906 * * [simplify]: Extracting #12: cost 1 inf + 121339
442.943 * * [simplify]: Extracting #13: cost 0 inf + 123364
442.992 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))
442.992 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
442.994 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
442.994 * * [simplify]: iters left: 6 (24 enodes)
443.005 * * [simplify]: iters left: 5 (112 enodes)
443.047 * * [simplify]: iters left: 4 (321 enodes)
443.221 * * [simplify]: Extracting #0: cost 1 inf + 0
443.221 * * [simplify]: Extracting #1: cost 3 inf + 0
443.221 * * [simplify]: Extracting #2: cost 33 inf + 0
443.222 * * [simplify]: Extracting #3: cost 143 inf + 0
443.224 * * [simplify]: Extracting #4: cost 249 inf + 290
443.227 * * [simplify]: Extracting #5: cost 316 inf + 904
443.235 * * [simplify]: Extracting #6: cost 231 inf + 18888
443.262 * * [simplify]: Extracting #7: cost 87 inf + 69722
443.317 * * [simplify]: Extracting #8: cost 4 inf + 109005
443.365 * * [simplify]: Extracting #9: cost 0 inf + 111259
443.401 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
443.401 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))))
443.401 * * * * [progress]: [ 575 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
443.402 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
443.402 * * [simplify]: iters left: 6 (47 enodes)
443.414 * * [simplify]: iters left: 5 (228 enodes)
443.472 * * [simplify]: Extracting #0: cost 1 inf + 0
443.472 * * [simplify]: Extracting #1: cost 3 inf + 0
443.472 * * [simplify]: Extracting #2: cost 10 inf + 0
443.472 * * [simplify]: Extracting #3: cost 66 inf + 0
443.472 * * [simplify]: Extracting #4: cost 117 inf + 44
443.473 * * [simplify]: Extracting #5: cost 155 inf + 1510
443.474 * * [simplify]: Extracting #6: cost 241 inf + 2972
443.477 * * [simplify]: Extracting #7: cost 240 inf + 3789
443.484 * * [simplify]: Extracting #8: cost 163 inf + 23801
443.493 * * [simplify]: Extracting #9: cost 93 inf + 48700
443.504 * * [simplify]: Extracting #10: cost 42 inf + 65793
443.523 * * [simplify]: Extracting #11: cost 6 inf + 95333
443.560 * * [simplify]: Extracting #12: cost 1 inf + 101658
443.601 * * [simplify]: Extracting #13: cost 0 inf + 103443
443.625 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
443.625 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
443.626 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
443.626 * * [simplify]: iters left: 6 (20 enodes)
443.631 * * [simplify]: iters left: 5 (94 enodes)
443.659 * * [simplify]: iters left: 4 (264 enodes)
443.777 * * [simplify]: Extracting #0: cost 1 inf + 0
443.777 * * [simplify]: Extracting #1: cost 3 inf + 0
443.777 * * [simplify]: Extracting #2: cost 23 inf + 0
443.777 * * [simplify]: Extracting #3: cost 70 inf + 0
443.778 * * [simplify]: Extracting #4: cost 141 inf + 2
443.779 * * [simplify]: Extracting #5: cost 216 inf + 44
443.781 * * [simplify]: Extracting #6: cost 154 inf + 10571
443.793 * * [simplify]: Extracting #7: cost 39 inf + 42947
443.819 * * [simplify]: Extracting #8: cost 1 inf + 59896
443.848 * * [simplify]: Extracting #9: cost 0 inf + 56979
443.870 * * [simplify]: Extracting #10: cost 0 inf + 56819
443.885 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))
443.885 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))))
443.886 * * * * [progress]: [ 576 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
443.886 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
443.886 * * [simplify]: iters left: 6 (52 enodes)
443.910 * * [simplify]: iters left: 5 (256 enodes)
443.987 * * [simplify]: Extracting #0: cost 1 inf + 0
443.987 * * [simplify]: Extracting #1: cost 3 inf + 0
443.987 * * [simplify]: Extracting #2: cost 10 inf + 0
443.987 * * [simplify]: Extracting #3: cost 74 inf + 0
443.988 * * [simplify]: Extracting #4: cost 136 inf + 42
443.989 * * [simplify]: Extracting #5: cost 194 inf + 207
443.991 * * [simplify]: Extracting #6: cost 272 inf + 3008
443.994 * * [simplify]: Extracting #7: cost 250 inf + 8600
443.997 * * [simplify]: Extracting #8: cost 179 inf + 23080
444.004 * * [simplify]: Extracting #9: cost 106 inf + 44744
444.019 * * [simplify]: Extracting #10: cost 42 inf + 79316
444.057 * * [simplify]: Extracting #11: cost 2 inf + 120274
444.100 * * [simplify]: Extracting #12: cost 1 inf + 122299
444.125 * * [simplify]: Extracting #13: cost 0 inf + 124324
444.160 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))
444.160 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
444.161 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
444.161 * * [simplify]: iters left: 6 (24 enodes)
444.167 * * [simplify]: iters left: 5 (112 enodes)
444.190 * * [simplify]: iters left: 4 (321 enodes)
444.365 * * [simplify]: Extracting #0: cost 1 inf + 0
444.365 * * [simplify]: Extracting #1: cost 3 inf + 0
444.365 * * [simplify]: Extracting #2: cost 33 inf + 0
444.366 * * [simplify]: Extracting #3: cost 143 inf + 0
444.367 * * [simplify]: Extracting #4: cost 249 inf + 290
444.370 * * [simplify]: Extracting #5: cost 316 inf + 904
444.378 * * [simplify]: Extracting #6: cost 231 inf + 18888
444.396 * * [simplify]: Extracting #7: cost 87 inf + 69722
444.425 * * [simplify]: Extracting #8: cost 4 inf + 109005
444.460 * * [simplify]: Extracting #9: cost 0 inf + 111259
444.496 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
444.496 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))))
444.497 * * * * [progress]: [ 577 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
444.497 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
444.497 * * [simplify]: iters left: 6 (47 enodes)
444.517 * * [simplify]: iters left: 5 (228 enodes)
444.616 * * [simplify]: Extracting #0: cost 1 inf + 0
444.616 * * [simplify]: Extracting #1: cost 3 inf + 0
444.616 * * [simplify]: Extracting #2: cost 10 inf + 0
444.616 * * [simplify]: Extracting #3: cost 65 inf + 0
444.617 * * [simplify]: Extracting #4: cost 116 inf + 86
444.618 * * [simplify]: Extracting #5: cost 152 inf + 1796
444.620 * * [simplify]: Extracting #6: cost 241 inf + 2932
444.622 * * [simplify]: Extracting #7: cost 242 inf + 3587
444.628 * * [simplify]: Extracting #8: cost 168 inf + 20421
444.638 * * [simplify]: Extracting #9: cost 93 inf + 47921
444.650 * * [simplify]: Extracting #10: cost 40 inf + 67363
444.667 * * [simplify]: Extracting #11: cost 6 inf + 95733
444.705 * * [simplify]: Extracting #12: cost 1 inf + 102058
444.737 * * [simplify]: Extracting #13: cost 0 inf + 103843
444.758 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
444.758 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
444.760 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
444.760 * * [simplify]: iters left: 6 (20 enodes)
444.770 * * [simplify]: iters left: 5 (94 enodes)
444.805 * * [simplify]: iters left: 4 (264 enodes)
444.897 * * [simplify]: Extracting #0: cost 1 inf + 0
444.897 * * [simplify]: Extracting #1: cost 3 inf + 0
444.897 * * [simplify]: Extracting #2: cost 23 inf + 0
444.897 * * [simplify]: Extracting #3: cost 70 inf + 0
444.897 * * [simplify]: Extracting #4: cost 141 inf + 2
444.898 * * [simplify]: Extracting #5: cost 216 inf + 44
444.900 * * [simplify]: Extracting #6: cost 154 inf + 10571
444.910 * * [simplify]: Extracting #7: cost 39 inf + 42947
444.939 * * [simplify]: Extracting #8: cost 1 inf + 59896
444.969 * * [simplify]: Extracting #9: cost 0 inf + 56979
444.990 * * [simplify]: Extracting #10: cost 0 inf + 56819
445.005 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))
445.005 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))))
445.006 * * * * [progress]: [ 578 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
445.006 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
445.006 * * [simplify]: iters left: 6 (52 enodes)
445.024 * * [simplify]: iters left: 5 (255 enodes)
445.112 * * [simplify]: Extracting #0: cost 1 inf + 0
445.112 * * [simplify]: Extracting #1: cost 3 inf + 0
445.112 * * [simplify]: Extracting #2: cost 6 inf + 0
445.112 * * [simplify]: Extracting #3: cost 56 inf + 0
445.113 * * [simplify]: Extracting #4: cost 130 inf + 0
445.113 * * [simplify]: Extracting #5: cost 210 inf + 0
445.114 * * [simplify]: Extracting #6: cost 301 inf + 1143
445.118 * * [simplify]: Extracting #7: cost 251 inf + 10479
445.130 * * [simplify]: Extracting #8: cost 132 inf + 44806
445.152 * * [simplify]: Extracting #9: cost 62 inf + 68688
445.195 * * [simplify]: Extracting #10: cost 11 inf + 115915
445.243 * * [simplify]: Extracting #11: cost 1 inf + 128085
445.277 * * [simplify]: Extracting #12: cost 0 inf + 130110
445.314 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))))
445.314 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
445.315 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
445.315 * * [simplify]: iters left: 6 (25 enodes)
445.321 * * [simplify]: iters left: 5 (117 enodes)
445.352 * * [simplify]: iters left: 4 (379 enodes)
445.610 * * [simplify]: Extracting #0: cost 1 inf + 0
445.610 * * [simplify]: Extracting #1: cost 3 inf + 0
445.610 * * [simplify]: Extracting #2: cost 45 inf + 0
445.611 * * [simplify]: Extracting #3: cost 308 inf + 0
445.615 * * [simplify]: Extracting #4: cost 497 inf + 855
445.626 * * [simplify]: Extracting #5: cost 448 inf + 25202
445.655 * * [simplify]: Extracting #6: cost 195 inf + 136855
445.752 * * [simplify]: Extracting #7: cost 0 inf + 227367
445.862 * * [simplify]: Extracting #8: cost 0 inf + 226967
445.945 * [simplify]: Simplified to (sqrt (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2)))))
445.945 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))))))))
445.946 * * * * [progress]: [ 579 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
445.946 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
445.946 * * [simplify]: iters left: 6 (53 enodes)
445.960 * * [simplify]: iters left: 5 (264 enodes)
446.074 * * [simplify]: Extracting #0: cost 1 inf + 0
446.074 * * [simplify]: Extracting #1: cost 3 inf + 0
446.074 * * [simplify]: Extracting #2: cost 6 inf + 0
446.074 * * [simplify]: Extracting #3: cost 60 inf + 0
446.075 * * [simplify]: Extracting #4: cost 153 inf + 0
446.076 * * [simplify]: Extracting #5: cost 224 inf + 44
446.079 * * [simplify]: Extracting #6: cost 280 inf + 4689
446.084 * * [simplify]: Extracting #7: cost 247 inf + 12320
446.094 * * [simplify]: Extracting #8: cost 165 inf + 32579
446.108 * * [simplify]: Extracting #9: cost 100 inf + 54874
446.122 * * [simplify]: Extracting #10: cost 54 inf + 77177
446.151 * * [simplify]: Extracting #11: cost 12 inf + 117507
446.204 * * [simplify]: Extracting #12: cost 0 inf + 132767
446.255 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
446.255 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
446.257 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
446.257 * * [simplify]: iters left: 6 (26 enodes)
446.270 * * [simplify]: iters left: 5 (121 enodes)
446.318 * * [simplify]: iters left: 4 (376 enodes)
446.572 * * [simplify]: Extracting #0: cost 1 inf + 0
446.572 * * [simplify]: Extracting #1: cost 3 inf + 0
446.572 * * [simplify]: Extracting #2: cost 67 inf + 0
446.573 * * [simplify]: Extracting #3: cost 319 inf + 0
446.575 * * [simplify]: Extracting #4: cost 444 inf + 209
446.578 * * [simplify]: Extracting #5: cost 451 inf + 11359
446.601 * * [simplify]: Extracting #6: cost 204 inf + 110098
446.663 * * [simplify]: Extracting #7: cost 7 inf + 200517
446.752 * * [simplify]: Extracting #8: cost 0 inf + 202813
446.843 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))))
446.843 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)))))))
446.844 * * * * [progress]: [ 580 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
446.844 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
446.844 * * [simplify]: iters left: 6 (53 enodes)
446.859 * * [simplify]: iters left: 5 (264 enodes)
446.940 * * [simplify]: Extracting #0: cost 1 inf + 0
446.940 * * [simplify]: Extracting #1: cost 3 inf + 0
446.940 * * [simplify]: Extracting #2: cost 6 inf + 0
446.940 * * [simplify]: Extracting #3: cost 62 inf + 0
446.941 * * [simplify]: Extracting #4: cost 151 inf + 0
446.942 * * [simplify]: Extracting #5: cost 220 inf + 44
446.943 * * [simplify]: Extracting #6: cost 283 inf + 3314
446.946 * * [simplify]: Extracting #7: cost 243 inf + 13296
446.951 * * [simplify]: Extracting #8: cost 161 inf + 33038
446.962 * * [simplify]: Extracting #9: cost 91 inf + 63139
446.981 * * [simplify]: Extracting #10: cost 47 inf + 81626
447.004 * * [simplify]: Extracting #11: cost 14 inf + 115249
447.040 * * [simplify]: Extracting #12: cost 0 inf + 132839
447.067 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
447.067 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
447.068 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
447.068 * * [simplify]: iters left: 6 (26 enodes)
447.078 * * [simplify]: iters left: 5 (121 enodes)
447.109 * * [simplify]: iters left: 4 (374 enodes)
447.350 * * [simplify]: Extracting #0: cost 1 inf + 0
447.350 * * [simplify]: Extracting #1: cost 3 inf + 0
447.350 * * [simplify]: Extracting #2: cost 61 inf + 0
447.351 * * [simplify]: Extracting #3: cost 304 inf + 0
447.352 * * [simplify]: Extracting #4: cost 407 inf + 738
447.356 * * [simplify]: Extracting #5: cost 407 inf + 12945
447.375 * * [simplify]: Extracting #6: cost 204 inf + 94570
447.436 * * [simplify]: Extracting #7: cost 5 inf + 181402
447.507 * * [simplify]: Extracting #8: cost 0 inf + 183336
447.581 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
447.581 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
447.582 * * * * [progress]: [ 581 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
447.582 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
447.582 * * [simplify]: iters left: 6 (47 enodes)
447.595 * * [simplify]: iters left: 5 (228 enodes)
447.679 * * [simplify]: Extracting #0: cost 1 inf + 0
447.679 * * [simplify]: Extracting #1: cost 3 inf + 0
447.679 * * [simplify]: Extracting #2: cost 6 inf + 0
447.679 * * [simplify]: Extracting #3: cost 54 inf + 0
447.679 * * [simplify]: Extracting #4: cost 119 inf + 0
447.680 * * [simplify]: Extracting #5: cost 168 inf + 44
447.682 * * [simplify]: Extracting #6: cost 246 inf + 1318
447.684 * * [simplify]: Extracting #7: cost 226 inf + 5264
447.690 * * [simplify]: Extracting #8: cost 146 inf + 22078
447.702 * * [simplify]: Extracting #9: cost 68 inf + 54045
447.720 * * [simplify]: Extracting #10: cost 7 inf + 98976
447.740 * * [simplify]: Extracting #11: cost 1 inf + 103793
447.762 * * [simplify]: Extracting #12: cost 0 inf + 105298
447.802 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
447.802 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
447.803 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))
447.804 * * [simplify]: iters left: 6 (21 enodes)
447.812 * * [simplify]: iters left: 5 (99 enodes)
447.832 * * [simplify]: iters left: 4 (304 enodes)
447.948 * * [simplify]: Extracting #0: cost 1 inf + 0
447.948 * * [simplify]: Extracting #1: cost 3 inf + 0
447.949 * * [simplify]: Extracting #2: cost 35 inf + 0
447.949 * * [simplify]: Extracting #3: cost 155 inf + 0
447.950 * * [simplify]: Extracting #4: cost 239 inf + 2
447.951 * * [simplify]: Extracting #5: cost 295 inf + 1316
447.956 * * [simplify]: Extracting #6: cost 187 inf + 27718
447.988 * * [simplify]: Extracting #7: cost 19 inf + 87306
448.035 * * [simplify]: Extracting #8: cost 0 inf + 94996
448.061 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))
448.061 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
448.061 * * * * [progress]: [ 582 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
448.062 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
448.062 * * [simplify]: iters left: 6 (52 enodes)
448.080 * * [simplify]: iters left: 5 (256 enodes)
448.189 * * [simplify]: Extracting #0: cost 1 inf + 0
448.189 * * [simplify]: Extracting #1: cost 3 inf + 0
448.189 * * [simplify]: Extracting #2: cost 10 inf + 0
448.190 * * [simplify]: Extracting #3: cost 74 inf + 0
448.190 * * [simplify]: Extracting #4: cost 136 inf + 42
448.191 * * [simplify]: Extracting #5: cost 190 inf + 207
448.193 * * [simplify]: Extracting #6: cost 265 inf + 2734
448.197 * * [simplify]: Extracting #7: cost 238 inf + 9140
448.204 * * [simplify]: Extracting #8: cost 167 inf + 25152
448.216 * * [simplify]: Extracting #9: cost 106 inf + 44308
448.228 * * [simplify]: Extracting #10: cost 43 inf + 76916
448.253 * * [simplify]: Extracting #11: cost 3 inf + 117394
448.287 * * [simplify]: Extracting #12: cost 1 inf + 120084
448.336 * * [simplify]: Extracting #13: cost 0 inf + 122109
448.375 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))
448.375 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
448.376 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
448.376 * * [simplify]: iters left: 6 (24 enodes)
448.381 * * [simplify]: iters left: 5 (112 enodes)
448.409 * * [simplify]: iters left: 4 (321 enodes)
448.551 * * [simplify]: Extracting #0: cost 1 inf + 0
448.551 * * [simplify]: Extracting #1: cost 3 inf + 0
448.551 * * [simplify]: Extracting #2: cost 33 inf + 0
448.551 * * [simplify]: Extracting #3: cost 143 inf + 0
448.552 * * [simplify]: Extracting #4: cost 245 inf + 290
448.553 * * [simplify]: Extracting #5: cost 300 inf + 2049
448.563 * * [simplify]: Extracting #6: cost 200 inf + 31013
448.596 * * [simplify]: Extracting #7: cost 14 inf + 102703
448.642 * * [simplify]: Extracting #8: cost 0 inf + 108419
448.672 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
448.672 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))))
448.673 * * * * [progress]: [ 583 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
448.673 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
448.674 * * [simplify]: iters left: 6 (47 enodes)
448.688 * * [simplify]: iters left: 5 (228 enodes)
448.749 * * [simplify]: Extracting #0: cost 1 inf + 0
448.749 * * [simplify]: Extracting #1: cost 3 inf + 0
448.749 * * [simplify]: Extracting #2: cost 10 inf + 0
448.750 * * [simplify]: Extracting #3: cost 66 inf + 0
448.750 * * [simplify]: Extracting #4: cost 117 inf + 44
448.750 * * [simplify]: Extracting #5: cost 151 inf + 1510
448.751 * * [simplify]: Extracting #6: cost 234 inf + 3016
448.753 * * [simplify]: Extracting #7: cost 223 inf + 5951
448.757 * * [simplify]: Extracting #8: cost 139 inf + 27380
448.771 * * [simplify]: Extracting #9: cost 91 inf + 46725
448.784 * * [simplify]: Extracting #10: cost 40 inf + 65761
448.801 * * [simplify]: Extracting #11: cost 4 inf + 97408
448.831 * * [simplify]: Extracting #12: cost 1 inf + 102003
448.854 * * [simplify]: Extracting #13: cost 0 inf + 103788
448.882 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))
448.882 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
448.883 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
448.883 * * [simplify]: iters left: 6 (20 enodes)
448.888 * * [simplify]: iters left: 5 (94 enodes)
448.915 * * [simplify]: iters left: 4 (264 enodes)
449.020 * * [simplify]: Extracting #0: cost 1 inf + 0
449.020 * * [simplify]: Extracting #1: cost 3 inf + 0
449.020 * * [simplify]: Extracting #2: cost 23 inf + 0
449.021 * * [simplify]: Extracting #3: cost 70 inf + 0
449.021 * * [simplify]: Extracting #4: cost 137 inf + 2
449.022 * * [simplify]: Extracting #5: cost 207 inf + 88
449.024 * * [simplify]: Extracting #6: cost 155 inf + 9250
449.035 * * [simplify]: Extracting #7: cost 37 inf + 39512
449.062 * * [simplify]: Extracting #8: cost 1 inf + 54936
449.090 * * [simplify]: Extracting #9: cost 0 inf + 55379
449.121 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2)))))
449.122 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))))))))
449.123 * * * * [progress]: [ 584 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
449.123 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
449.124 * * [simplify]: iters left: 6 (52 enodes)
449.152 * * [simplify]: iters left: 5 (256 enodes)
449.228 * * [simplify]: Extracting #0: cost 1 inf + 0
449.229 * * [simplify]: Extracting #1: cost 3 inf + 0
449.229 * * [simplify]: Extracting #2: cost 10 inf + 0
449.229 * * [simplify]: Extracting #3: cost 74 inf + 0
449.229 * * [simplify]: Extracting #4: cost 136 inf + 42
449.229 * * [simplify]: Extracting #5: cost 190 inf + 207
449.231 * * [simplify]: Extracting #6: cost 261 inf + 3821
449.233 * * [simplify]: Extracting #7: cost 236 inf + 9584
449.238 * * [simplify]: Extracting #8: cost 167 inf + 25152
449.245 * * [simplify]: Extracting #9: cost 107 inf + 43704
449.258 * * [simplify]: Extracting #10: cost 43 inf + 77716
449.288 * * [simplify]: Extracting #11: cost 3 inf + 118354
449.316 * * [simplify]: Extracting #12: cost 1 inf + 121044
449.358 * * [simplify]: Extracting #13: cost 0 inf + 123069
449.383 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))
449.383 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
449.384 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
449.384 * * [simplify]: iters left: 6 (24 enodes)
449.394 * * [simplify]: iters left: 5 (112 enodes)
449.424 * * [simplify]: iters left: 4 (321 enodes)
449.594 * * [simplify]: Extracting #0: cost 1 inf + 0
449.594 * * [simplify]: Extracting #1: cost 3 inf + 0
449.594 * * [simplify]: Extracting #2: cost 33 inf + 0
449.595 * * [simplify]: Extracting #3: cost 143 inf + 0
449.596 * * [simplify]: Extracting #4: cost 245 inf + 290
449.600 * * [simplify]: Extracting #5: cost 300 inf + 2049
449.609 * * [simplify]: Extracting #6: cost 200 inf + 31013
449.631 * * [simplify]: Extracting #7: cost 14 inf + 102703
449.679 * * [simplify]: Extracting #8: cost 0 inf + 108419
449.711 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
449.712 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))))
449.713 * * * * [progress]: [ 585 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
449.713 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
449.714 * * [simplify]: iters left: 6 (47 enodes)
449.735 * * [simplify]: iters left: 5 (228 enodes)
449.810 * * [simplify]: Extracting #0: cost 1 inf + 0
449.810 * * [simplify]: Extracting #1: cost 3 inf + 0
449.810 * * [simplify]: Extracting #2: cost 10 inf + 0
449.810 * * [simplify]: Extracting #3: cost 65 inf + 0
449.811 * * [simplify]: Extracting #4: cost 116 inf + 86
449.812 * * [simplify]: Extracting #5: cost 148 inf + 1796
449.814 * * [simplify]: Extracting #6: cost 234 inf + 2976
449.816 * * [simplify]: Extracting #7: cost 226 inf + 5545
449.824 * * [simplify]: Extracting #8: cost 139 inf + 26897
449.839 * * [simplify]: Extracting #9: cost 88 inf + 47997
449.853 * * [simplify]: Extracting #10: cost 41 inf + 65496
449.870 * * [simplify]: Extracting #11: cost 4 inf + 97808
449.907 * * [simplify]: Extracting #12: cost 1 inf + 102403
449.941 * * [simplify]: Extracting #13: cost 0 inf + 104188
449.969 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))
449.969 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
449.971 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
449.971 * * [simplify]: iters left: 6 (20 enodes)
449.980 * * [simplify]: iters left: 5 (94 enodes)
450.017 * * [simplify]: iters left: 4 (264 enodes)
450.136 * * [simplify]: Extracting #0: cost 1 inf + 0
450.136 * * [simplify]: Extracting #1: cost 3 inf + 0
450.136 * * [simplify]: Extracting #2: cost 23 inf + 0
450.136 * * [simplify]: Extracting #3: cost 70 inf + 0
450.137 * * [simplify]: Extracting #4: cost 137 inf + 2
450.138 * * [simplify]: Extracting #5: cost 207 inf + 88
450.140 * * [simplify]: Extracting #6: cost 155 inf + 9250
450.150 * * [simplify]: Extracting #7: cost 37 inf + 39512
450.171 * * [simplify]: Extracting #8: cost 1 inf + 54936
450.195 * * [simplify]: Extracting #9: cost 0 inf + 55379
450.209 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2)))))
450.210 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))))))))
450.210 * * * * [progress]: [ 586 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
450.210 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
450.211 * * [simplify]: iters left: 6 (47 enodes)
450.227 * * [simplify]: iters left: 5 (231 enodes)
450.325 * * [simplify]: Extracting #0: cost 1 inf + 0
450.325 * * [simplify]: Extracting #1: cost 3 inf + 0
450.325 * * [simplify]: Extracting #2: cost 6 inf + 0
450.325 * * [simplify]: Extracting #3: cost 52 inf + 0
450.326 * * [simplify]: Extracting #4: cost 118 inf + 0
450.327 * * [simplify]: Extracting #5: cost 189 inf + 0
450.328 * * [simplify]: Extracting #6: cost 270 inf + 1097
450.331 * * [simplify]: Extracting #7: cost 239 inf + 9175
450.338 * * [simplify]: Extracting #8: cost 159 inf + 24485
450.351 * * [simplify]: Extracting #9: cost 90 inf + 44547
450.373 * * [simplify]: Extracting #10: cost 52 inf + 62253
450.413 * * [simplify]: Extracting #11: cost 5 inf + 102416
450.453 * * [simplify]: Extracting #12: cost 0 inf + 108861
450.476 * * [simplify]: Extracting #13: cost 0 inf + 108221
450.518 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
450.518 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
450.520 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
450.521 * * [simplify]: iters left: 6 (24 enodes)
450.532 * * [simplify]: iters left: 5 (113 enodes)
450.576 * * [simplify]: iters left: 4 (369 enodes)
450.789 * * [simplify]: Extracting #0: cost 1 inf + 0
450.789 * * [simplify]: Extracting #1: cost 3 inf + 0
450.790 * * [simplify]: Extracting #2: cost 36 inf + 0
450.790 * * [simplify]: Extracting #3: cost 279 inf + 0
450.792 * * [simplify]: Extracting #4: cost 454 inf + 653
450.797 * * [simplify]: Extracting #5: cost 443 inf + 16741
450.837 * * [simplify]: Extracting #6: cost 225 inf + 112265
450.913 * * [simplify]: Extracting #7: cost 3 inf + 213885
450.994 * * [simplify]: Extracting #8: cost 0 inf + 204575
451.099 * * [simplify]: Extracting #9: cost 0 inf + 204295
451.201 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))
451.201 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))))))
451.203 * * * * [progress]: [ 587 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
451.203 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
451.204 * * [simplify]: iters left: 6 (48 enodes)
451.229 * * [simplify]: iters left: 5 (240 enodes)
451.320 * * [simplify]: Extracting #0: cost 1 inf + 0
451.320 * * [simplify]: Extracting #1: cost 3 inf + 0
451.320 * * [simplify]: Extracting #2: cost 6 inf + 0
451.320 * * [simplify]: Extracting #3: cost 56 inf + 0
451.320 * * [simplify]: Extracting #4: cost 141 inf + 0
451.321 * * [simplify]: Extracting #5: cost 200 inf + 248
451.322 * * [simplify]: Extracting #6: cost 253 inf + 4675
451.324 * * [simplify]: Extracting #7: cost 230 inf + 11240
451.328 * * [simplify]: Extracting #8: cost 183 inf + 18962
451.333 * * [simplify]: Extracting #9: cost 115 inf + 34508
451.352 * * [simplify]: Extracting #10: cost 59 inf + 60630
451.388 * * [simplify]: Extracting #11: cost 9 inf + 101457
451.432 * * [simplify]: Extracting #12: cost 0 inf + 109998
451.477 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))))
451.477 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
451.478 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
451.479 * * [simplify]: iters left: 6 (25 enodes)
451.490 * * [simplify]: iters left: 5 (117 enodes)
451.535 * * [simplify]: iters left: 4 (366 enodes)
451.809 * * [simplify]: Extracting #0: cost 1 inf + 0
451.809 * * [simplify]: Extracting #1: cost 3 inf + 0
451.809 * * [simplify]: Extracting #2: cost 61 inf + 0
451.809 * * [simplify]: Extracting #3: cost 285 inf + 0
451.815 * * [simplify]: Extracting #4: cost 390 inf + 1181
451.818 * * [simplify]: Extracting #5: cost 425 inf + 6937
451.839 * * [simplify]: Extracting #6: cost 214 inf + 97768
451.904 * * [simplify]: Extracting #7: cost 7 inf + 187149
451.994 * * [simplify]: Extracting #8: cost 0 inf + 180689
452.083 * * [simplify]: Extracting #9: cost 0 inf + 180449
452.151 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))))
452.151 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))))))))
452.153 * * * * [progress]: [ 588 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
452.153 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
452.154 * * [simplify]: iters left: 6 (48 enodes)
452.179 * * [simplify]: iters left: 5 (240 enodes)
452.278 * * [simplify]: Extracting #0: cost 1 inf + 0
452.278 * * [simplify]: Extracting #1: cost 3 inf + 0
452.278 * * [simplify]: Extracting #2: cost 6 inf + 0
452.278 * * [simplify]: Extracting #3: cost 58 inf + 0
452.278 * * [simplify]: Extracting #4: cost 139 inf + 0
452.279 * * [simplify]: Extracting #5: cost 194 inf + 332
452.280 * * [simplify]: Extracting #6: cost 250 inf + 3754
452.282 * * [simplify]: Extracting #7: cost 226 inf + 11901
452.286 * * [simplify]: Extracting #8: cost 158 inf + 23245
452.293 * * [simplify]: Extracting #9: cost 82 inf + 50309
452.320 * * [simplify]: Extracting #10: cost 14 inf + 95202
452.344 * * [simplify]: Extracting #11: cost 0 inf + 108870
452.374 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))
452.374 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
452.376 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
452.376 * * [simplify]: iters left: 6 (25 enodes)
452.390 * * [simplify]: iters left: 5 (117 enodes)
452.413 * * [simplify]: iters left: 4 (364 enodes)
452.597 * * [simplify]: Extracting #0: cost 1 inf + 0
452.597 * * [simplify]: Extracting #1: cost 3 inf + 0
452.597 * * [simplify]: Extracting #2: cost 55 inf + 0
452.597 * * [simplify]: Extracting #3: cost 274 inf + 0
452.599 * * [simplify]: Extracting #4: cost 372 inf + 495
452.602 * * [simplify]: Extracting #5: cost 409 inf + 5007
452.610 * * [simplify]: Extracting #6: cost 289 inf + 42081
452.655 * * [simplify]: Extracting #7: cost 104 inf + 117657
452.725 * * [simplify]: Extracting #8: cost 3 inf + 177603
452.785 * * [simplify]: Extracting #9: cost 0 inf + 168014
452.840 * * [simplify]: Extracting #10: cost 0 inf + 167654
452.896 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))
452.897 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) (sqrt (* (+ phi1 phi2) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))))
452.898 * * * * [progress]: [ 589 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
452.898 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
452.899 * * [simplify]: iters left: 6 (42 enodes)
452.921 * * [simplify]: iters left: 5 (204 enodes)
453.001 * * [simplify]: Extracting #0: cost 1 inf + 0
453.001 * * [simplify]: Extracting #1: cost 3 inf + 0
453.001 * * [simplify]: Extracting #2: cost 6 inf + 0
453.001 * * [simplify]: Extracting #3: cost 50 inf + 0
453.001 * * [simplify]: Extracting #4: cost 107 inf + 0
453.001 * * [simplify]: Extracting #5: cost 146 inf + 85
453.002 * * [simplify]: Extracting #6: cost 219 inf + 866
453.003 * * [simplify]: Extracting #7: cost 214 inf + 3264
453.006 * * [simplify]: Extracting #8: cost 148 inf + 16175
453.012 * * [simplify]: Extracting #9: cost 75 inf + 38530
453.026 * * [simplify]: Extracting #10: cost 29 inf + 65229
453.046 * * [simplify]: Extracting #11: cost 1 inf + 86664
453.081 * * [simplify]: Extracting #12: cost 0 inf + 87689
453.105 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))))
453.106 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
453.106 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))
453.107 * * [simplify]: iters left: 6 (20 enodes)
453.111 * * [simplify]: iters left: 5 (95 enodes)
453.142 * * [simplify]: iters left: 4 (294 enodes)
453.255 * * [simplify]: Extracting #0: cost 1 inf + 0
453.255 * * [simplify]: Extracting #1: cost 3 inf + 0
453.255 * * [simplify]: Extracting #2: cost 29 inf + 0
453.256 * * [simplify]: Extracting #3: cost 138 inf + 0
453.257 * * [simplify]: Extracting #4: cost 208 inf + 532
453.260 * * [simplify]: Extracting #5: cost 257 inf + 3904
453.273 * * [simplify]: Extracting #6: cost 156 inf + 38020
453.294 * * [simplify]: Extracting #7: cost 12 inf + 85884
453.328 * * [simplify]: Extracting #8: cost 0 inf + 86121
453.353 * * [simplify]: Extracting #9: cost 0 inf + 85201
453.397 * * [simplify]: Extracting #10: cost 0 inf + 85081
453.441 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))
453.441 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))))
453.442 * * * * [progress]: [ 590 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
453.443 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
453.443 * * [simplify]: iters left: 6 (47 enodes)
453.462 * * [simplify]: iters left: 5 (232 enodes)
453.532 * * [simplify]: Extracting #0: cost 1 inf + 0
453.532 * * [simplify]: Extracting #1: cost 3 inf + 0
453.532 * * [simplify]: Extracting #2: cost 10 inf + 0
453.533 * * [simplify]: Extracting #3: cost 70 inf + 0
453.533 * * [simplify]: Extracting #4: cost 124 inf + 42
453.533 * * [simplify]: Extracting #5: cost 167 inf + 290
453.534 * * [simplify]: Extracting #6: cost 237 inf + 2644
453.536 * * [simplify]: Extracting #7: cost 222 inf + 8424
453.540 * * [simplify]: Extracting #8: cost 130 inf + 27086
453.556 * * [simplify]: Extracting #9: cost 56 inf + 57762
453.586 * * [simplify]: Extracting #10: cost 23 inf + 82805
453.622 * * [simplify]: Extracting #11: cost 3 inf + 98665
453.661 * * [simplify]: Extracting #12: cost 0 inf + 102740
453.696 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
453.696 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
453.697 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
453.697 * * [simplify]: iters left: 6 (23 enodes)
453.703 * * [simplify]: iters left: 5 (108 enodes)
453.732 * * [simplify]: iters left: 4 (311 enodes)
453.898 * * [simplify]: Extracting #0: cost 1 inf + 0
453.898 * * [simplify]: Extracting #1: cost 3 inf + 0
453.898 * * [simplify]: Extracting #2: cost 28 inf + 0
453.899 * * [simplify]: Extracting #3: cost 112 inf + 0
453.900 * * [simplify]: Extracting #4: cost 209 inf + 85
453.902 * * [simplify]: Extracting #5: cost 279 inf + 700
453.909 * * [simplify]: Extracting #6: cost 218 inf + 15609
453.928 * * [simplify]: Extracting #7: cost 73 inf + 61130
453.962 * * [simplify]: Extracting #8: cost 2 inf + 97973
453.994 * * [simplify]: Extracting #9: cost 0 inf + 92741
454.036 * * [simplify]: Extracting #10: cost 0 inf + 92261
454.063 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
454.063 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))))
454.064 * * * * [progress]: [ 591 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
454.065 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
454.066 * * [simplify]: iters left: 6 (42 enodes)
454.089 * * [simplify]: iters left: 5 (204 enodes)
454.154 * * [simplify]: Extracting #0: cost 1 inf + 0
454.154 * * [simplify]: Extracting #1: cost 3 inf + 0
454.154 * * [simplify]: Extracting #2: cost 10 inf + 0
454.155 * * [simplify]: Extracting #3: cost 62 inf + 0
454.155 * * [simplify]: Extracting #4: cost 105 inf + 44
454.155 * * [simplify]: Extracting #5: cost 131 inf + 1308
454.156 * * [simplify]: Extracting #6: cost 203 inf + 2932
454.157 * * [simplify]: Extracting #7: cost 212 inf + 3344
454.159 * * [simplify]: Extracting #8: cost 176 inf + 7935
454.163 * * [simplify]: Extracting #9: cost 106 inf + 25133
454.174 * * [simplify]: Extracting #10: cost 27 inf + 63598
454.197 * * [simplify]: Extracting #11: cost 1 inf + 84154
454.225 * * [simplify]: Extracting #12: cost 0 inf + 85699
454.258 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))))
454.258 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
454.260 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
454.260 * * [simplify]: iters left: 6 (19 enodes)
454.268 * * [simplify]: iters left: 5 (90 enodes)
454.296 * * [simplify]: iters left: 4 (254 enodes)
454.387 * * [simplify]: Extracting #0: cost 1 inf + 0
454.387 * * [simplify]: Extracting #1: cost 3 inf + 0
454.387 * * [simplify]: Extracting #2: cost 18 inf + 0
454.388 * * [simplify]: Extracting #3: cost 48 inf + 0
454.388 * * [simplify]: Extracting #4: cost 112 inf + 44
454.389 * * [simplify]: Extracting #5: cost 186 inf + 86
454.394 * * [simplify]: Extracting #6: cost 126 inf + 13496
454.418 * * [simplify]: Extracting #7: cost 9 inf + 47567
454.432 * * [simplify]: Extracting #8: cost 0 inf + 47470
454.445 * * [simplify]: Extracting #9: cost 0 inf + 47030
454.471 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (+ phi1 phi2)))
454.471 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (+ phi1 phi2))))))
454.472 * * * * [progress]: [ 592 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
454.472 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
454.473 * * [simplify]: iters left: 6 (47 enodes)
454.497 * * [simplify]: iters left: 5 (232 enodes)
454.572 * * [simplify]: Extracting #0: cost 1 inf + 0
454.572 * * [simplify]: Extracting #1: cost 3 inf + 0
454.572 * * [simplify]: Extracting #2: cost 10 inf + 0
454.573 * * [simplify]: Extracting #3: cost 70 inf + 0
454.573 * * [simplify]: Extracting #4: cost 124 inf + 42
454.574 * * [simplify]: Extracting #5: cost 166 inf + 332
454.576 * * [simplify]: Extracting #6: cost 232 inf + 3494
454.580 * * [simplify]: Extracting #7: cost 218 inf + 9643
454.588 * * [simplify]: Extracting #8: cost 128 inf + 29075
454.607 * * [simplify]: Extracting #9: cost 56 inf + 58082
454.636 * * [simplify]: Extracting #10: cost 23 inf + 83765
454.660 * * [simplify]: Extracting #11: cost 3 inf + 99625
454.684 * * [simplify]: Extracting #12: cost 0 inf + 103700
454.725 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
454.725 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
454.726 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
454.726 * * [simplify]: iters left: 6 (23 enodes)
454.737 * * [simplify]: iters left: 5 (108 enodes)
454.760 * * [simplify]: iters left: 4 (311 enodes)
454.906 * * [simplify]: Extracting #0: cost 1 inf + 0
454.906 * * [simplify]: Extracting #1: cost 3 inf + 0
454.906 * * [simplify]: Extracting #2: cost 28 inf + 0
454.906 * * [simplify]: Extracting #3: cost 112 inf + 0
454.907 * * [simplify]: Extracting #4: cost 209 inf + 85
454.908 * * [simplify]: Extracting #5: cost 279 inf + 700
454.911 * * [simplify]: Extracting #6: cost 218 inf + 15609
454.924 * * [simplify]: Extracting #7: cost 73 inf + 61130
454.952 * * [simplify]: Extracting #8: cost 2 inf + 97973
455.001 * * [simplify]: Extracting #9: cost 0 inf + 92741
455.052 * * [simplify]: Extracting #10: cost 0 inf + 92261
455.102 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
455.102 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))))
455.103 * * * * [progress]: [ 593 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
455.103 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
455.104 * * [simplify]: iters left: 6 (42 enodes)
455.126 * * [simplify]: iters left: 5 (204 enodes)
455.193 * * [simplify]: Extracting #0: cost 1 inf + 0
455.193 * * [simplify]: Extracting #1: cost 3 inf + 0
455.193 * * [simplify]: Extracting #2: cost 10 inf + 0
455.193 * * [simplify]: Extracting #3: cost 61 inf + 0
455.193 * * [simplify]: Extracting #4: cost 105 inf + 44
455.193 * * [simplify]: Extracting #5: cost 135 inf + 820
455.194 * * [simplify]: Extracting #6: cost 203 inf + 2932
455.196 * * [simplify]: Extracting #7: cost 211 inf + 3425
455.197 * * [simplify]: Extracting #8: cost 171 inf + 8902
455.204 * * [simplify]: Extracting #9: cost 107 inf + 25091
455.219 * * [simplify]: Extracting #10: cost 28 inf + 63355
455.237 * * [simplify]: Extracting #11: cost 1 inf + 84714
455.271 * * [simplify]: Extracting #12: cost 0 inf + 86259
455.308 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))))
455.308 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
455.309 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
455.310 * * [simplify]: iters left: 6 (19 enodes)
455.319 * * [simplify]: iters left: 5 (90 enodes)
455.337 * * [simplify]: iters left: 4 (254 enodes)
455.463 * * [simplify]: Extracting #0: cost 1 inf + 0
455.463 * * [simplify]: Extracting #1: cost 3 inf + 0
455.463 * * [simplify]: Extracting #2: cost 18 inf + 0
455.464 * * [simplify]: Extracting #3: cost 48 inf + 0
455.464 * * [simplify]: Extracting #4: cost 112 inf + 44
455.466 * * [simplify]: Extracting #5: cost 186 inf + 86
455.470 * * [simplify]: Extracting #6: cost 126 inf + 13496
455.492 * * [simplify]: Extracting #7: cost 9 inf + 47567
455.521 * * [simplify]: Extracting #8: cost 0 inf + 47470
455.547 * * [simplify]: Extracting #9: cost 0 inf + 47030
455.573 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (+ phi1 phi2)))
455.573 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (+ phi1 phi2))))))
455.574 * * * * [progress]: [ 594 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
455.574 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
455.575 * * [simplify]: iters left: 6 (43 enodes)
455.597 * * [simplify]: iters left: 5 (202 enodes)
455.682 * * [simplify]: Extracting #0: cost 1 inf + 0
455.682 * * [simplify]: Extracting #1: cost 3 inf + 0
455.682 * * [simplify]: Extracting #2: cost 6 inf + 0
455.683 * * [simplify]: Extracting #3: cost 44 inf + 0
455.683 * * [simplify]: Extracting #4: cost 103 inf + 0
455.684 * * [simplify]: Extracting #5: cost 160 inf + 1
455.685 * * [simplify]: Extracting #6: cost 222 inf + 44
455.686 * * [simplify]: Extracting #7: cost 217 inf + 3404
455.691 * * [simplify]: Extracting #8: cost 134 inf + 17038
455.701 * * [simplify]: Extracting #9: cost 65 inf + 36816
455.722 * * [simplify]: Extracting #10: cost 23 inf + 68316
455.751 * * [simplify]: Extracting #11: cost 1 inf + 82997
455.784 * * [simplify]: Extracting #12: cost 0 inf + 83585
455.811 * * [simplify]: Extracting #13: cost 0 inf + 83454
455.830 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
455.830 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
455.831 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
455.831 * * [simplify]: iters left: 6 (22 enodes)
455.836 * * [simplify]: iters left: 5 (99 enodes)
455.862 * * [simplify]: iters left: 4 (299 enodes)
456.051 * * [simplify]: Extracting #0: cost 1 inf + 0
456.051 * * [simplify]: Extracting #1: cost 3 inf + 0
456.051 * * [simplify]: Extracting #2: cost 30 inf + 0
456.051 * * [simplify]: Extracting #3: cost 259 inf + 0
456.053 * * [simplify]: Extracting #4: cost 405 inf + 208
456.059 * * [simplify]: Extracting #5: cost 281 inf + 27576
456.099 * * [simplify]: Extracting #6: cost 55 inf + 109824
456.161 * * [simplify]: Extracting #7: cost 6 inf + 126131
456.221 * * [simplify]: Extracting #8: cost 0 inf + 127275
456.255 * * [simplify]: Extracting #9: cost 0 inf + 126395
456.313 * [simplify]: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))
456.313 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))
456.313 * * * * [progress]: [ 595 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
456.314 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
456.314 * * [simplify]: iters left: 6 (44 enodes)
456.326 * * [simplify]: iters left: 5 (211 enodes)
456.389 * * [simplify]: Extracting #0: cost 1 inf + 0
456.389 * * [simplify]: Extracting #1: cost 3 inf + 0
456.389 * * [simplify]: Extracting #2: cost 6 inf + 0
456.389 * * [simplify]: Extracting #3: cost 48 inf + 0
456.389 * * [simplify]: Extracting #4: cost 126 inf + 0
456.390 * * [simplify]: Extracting #5: cost 173 inf + 127
456.390 * * [simplify]: Extracting #6: cost 215 inf + 2336
456.392 * * [simplify]: Extracting #7: cost 182 inf + 10396
456.396 * * [simplify]: Extracting #8: cost 109 inf + 24493
456.410 * * [simplify]: Extracting #9: cost 46 inf + 50871
456.436 * * [simplify]: Extracting #10: cost 6 inf + 85174
456.469 * * [simplify]: Extracting #11: cost 0 inf + 86784
456.503 * * [simplify]: Extracting #12: cost 0 inf + 86391
456.538 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
456.538 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
456.540 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
456.540 * * [simplify]: iters left: 6 (23 enodes)
456.550 * * [simplify]: iters left: 5 (103 enodes)
456.569 * * [simplify]: iters left: 4 (296 enodes)
456.720 * * [simplify]: Extracting #0: cost 1 inf + 0
456.720 * * [simplify]: Extracting #1: cost 3 inf + 0
456.720 * * [simplify]: Extracting #2: cost 57 inf + 0
456.721 * * [simplify]: Extracting #3: cost 266 inf + 0
456.722 * * [simplify]: Extracting #4: cost 336 inf + 333
456.726 * * [simplify]: Extracting #5: cost 262 inf + 14507
456.751 * * [simplify]: Extracting #6: cost 70 inf + 85576
456.787 * * [simplify]: Extracting #7: cost 3 inf + 110719
456.825 * * [simplify]: Extracting #8: cost 0 inf + 107611
456.851 * * [simplify]: Extracting #9: cost 0 inf + 106971
456.887 * [simplify]: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1))))
456.887 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))))))
456.887 * * * * [progress]: [ 596 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
456.888 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
456.888 * * [simplify]: iters left: 6 (44 enodes)
456.900 * * [simplify]: iters left: 5 (211 enodes)
456.962 * * [simplify]: Extracting #0: cost 1 inf + 0
456.962 * * [simplify]: Extracting #1: cost 3 inf + 0
456.963 * * [simplify]: Extracting #2: cost 6 inf + 0
456.963 * * [simplify]: Extracting #3: cost 50 inf + 0
456.963 * * [simplify]: Extracting #4: cost 124 inf + 0
456.963 * * [simplify]: Extracting #5: cost 169 inf + 127
456.964 * * [simplify]: Extracting #6: cost 205 inf + 3187
456.966 * * [simplify]: Extracting #7: cost 174 inf + 10892
456.970 * * [simplify]: Extracting #8: cost 107 inf + 24731
456.977 * * [simplify]: Extracting #9: cost 48 inf + 47021
457.001 * * [simplify]: Extracting #10: cost 10 inf + 77713
457.034 * * [simplify]: Extracting #11: cost 0 inf + 84100
457.065 * * [simplify]: Extracting #12: cost 0 inf + 83143
457.088 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
457.088 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
457.089 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
457.089 * * [simplify]: iters left: 6 (23 enodes)
457.095 * * [simplify]: iters left: 5 (103 enodes)
457.119 * * [simplify]: iters left: 4 (294 enodes)
457.323 * * [simplify]: Extracting #0: cost 1 inf + 0
457.323 * * [simplify]: Extracting #1: cost 3 inf + 0
457.323 * * [simplify]: Extracting #2: cost 49 inf + 0
457.324 * * [simplify]: Extracting #3: cost 251 inf + 0
457.325 * * [simplify]: Extracting #4: cost 318 inf + 463
457.329 * * [simplify]: Extracting #5: cost 221 inf + 20232
457.342 * * [simplify]: Extracting #6: cost 110 inf + 55335
457.379 * * [simplify]: Extracting #7: cost 18 inf + 96723
457.405 * * [simplify]: Extracting #8: cost 0 inf + 99428
457.452 * * [simplify]: Extracting #9: cost 0 inf + 97588
457.499 * [simplify]: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))))
457.499 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))))))
457.500 * * * * [progress]: [ 597 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
457.501 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
457.501 * * [simplify]: iters left: 6 (38 enodes)
457.521 * * [simplify]: iters left: 5 (175 enodes)
457.584 * * [simplify]: iters left: 4 (459 enodes)
457.777 * * [simplify]: Extracting #0: cost 1 inf + 0
457.777 * * [simplify]: Extracting #1: cost 3 inf + 0
457.777 * * [simplify]: Extracting #2: cost 16 inf + 0
457.777 * * [simplify]: Extracting #3: cost 131 inf + 0
457.778 * * [simplify]: Extracting #4: cost 344 inf + 86
457.787 * * [simplify]: Extracting #5: cost 414 inf + 6221
457.795 * * [simplify]: Extracting #6: cost 403 inf + 17153
457.816 * * [simplify]: Extracting #7: cost 258 inf + 63055
457.868 * * [simplify]: Extracting #8: cost 79 inf + 144026
457.934 * * [simplify]: Extracting #9: cost 7 inf + 180137
457.993 * * [simplify]: Extracting #10: cost 0 inf + 183594
458.043 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1)))))
458.043 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
458.044 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))
458.044 * * [simplify]: iters left: 6 (18 enodes)
458.049 * * [simplify]: iters left: 5 (81 enodes)
458.078 * * [simplify]: iters left: 4 (224 enodes)
458.178 * * [simplify]: Extracting #0: cost 1 inf + 0
458.178 * * [simplify]: Extracting #1: cost 3 inf + 0
458.178 * * [simplify]: Extracting #2: cost 23 inf + 0
458.178 * * [simplify]: Extracting #3: cost 130 inf + 0
458.180 * * [simplify]: Extracting #4: cost 169 inf + 334
458.182 * * [simplify]: Extracting #5: cost 142 inf + 3992
458.188 * * [simplify]: Extracting #6: cost 95 inf + 12652
458.197 * * [simplify]: Extracting #7: cost 40 inf + 28767
458.207 * * [simplify]: Extracting #8: cost 5 inf + 42461
458.218 * * [simplify]: Extracting #9: cost 0 inf + 42281
458.235 * * [simplify]: Extracting #10: cost 0 inf + 41881
458.247 * [simplify]: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))
458.247 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
458.247 * * * * [progress]: [ 598 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
458.247 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
458.248 * * [simplify]: iters left: 6 (43 enodes)
458.262 * * [simplify]: iters left: 5 (203 enodes)
458.331 * * [simplify]: Extracting #0: cost 1 inf + 0
458.331 * * [simplify]: Extracting #1: cost 3 inf + 0
458.331 * * [simplify]: Extracting #2: cost 10 inf + 0
458.331 * * [simplify]: Extracting #3: cost 58 inf + 0
458.331 * * [simplify]: Extracting #4: cost 107 inf + 1
458.332 * * [simplify]: Extracting #5: cost 137 inf + 249
458.333 * * [simplify]: Extracting #6: cost 185 inf + 1614
458.336 * * [simplify]: Extracting #7: cost 171 inf + 6563
458.340 * * [simplify]: Extracting #8: cost 119 inf + 15103
458.350 * * [simplify]: Extracting #9: cost 69 inf + 33567
458.372 * * [simplify]: Extracting #10: cost 8 inf + 73667
458.401 * * [simplify]: Extracting #11: cost 0 inf + 77080
458.418 * * [simplify]: Extracting #12: cost 0 inf + 76818
458.440 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))))
458.440 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
458.441 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
458.442 * * [simplify]: iters left: 6 (21 enodes)
458.451 * * [simplify]: iters left: 5 (94 enodes)
458.482 * * [simplify]: iters left: 4 (235 enodes)
458.571 * * [simplify]: Extracting #0: cost 1 inf + 0
458.572 * * [simplify]: Extracting #1: cost 3 inf + 0
458.572 * * [simplify]: Extracting #2: cost 22 inf + 0
458.572 * * [simplify]: Extracting #3: cost 102 inf + 0
458.573 * * [simplify]: Extracting #4: cost 155 inf + 291
458.575 * * [simplify]: Extracting #5: cost 138 inf + 2248
458.583 * * [simplify]: Extracting #6: cost 70 inf + 17852
458.596 * * [simplify]: Extracting #7: cost 13 inf + 40327
458.611 * * [simplify]: Extracting #8: cost 0 inf + 44057
458.623 * * [simplify]: Extracting #9: cost 0 inf + 42017
458.634 * [simplify]: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))
458.634 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))
458.635 * * * * [progress]: [ 599 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
458.635 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
458.635 * * [simplify]: iters left: 6 (38 enodes)
458.652 * * [simplify]: iters left: 5 (175 enodes)
458.700 * * [simplify]: iters left: 4 (440 enodes)
458.909 * * [simplify]: Extracting #0: cost 1 inf + 0
458.909 * * [simplify]: Extracting #1: cost 3 inf + 0
458.909 * * [simplify]: Extracting #2: cost 13 inf + 0
458.910 * * [simplify]: Extracting #3: cost 90 inf + 0
458.911 * * [simplify]: Extracting #4: cost 271 inf + 86
458.914 * * [simplify]: Extracting #5: cost 397 inf + 2287
458.917 * * [simplify]: Extracting #6: cost 377 inf + 15542
458.926 * * [simplify]: Extracting #7: cost 259 inf + 49821
458.955 * * [simplify]: Extracting #8: cost 79 inf + 123059
459.014 * * [simplify]: Extracting #9: cost 2 inf + 158808
459.061 * * [simplify]: Extracting #10: cost 0 inf + 159685
459.106 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))
459.106 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
459.106 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))
459.107 * * [simplify]: iters left: 6 (17 enodes)
459.111 * * [simplify]: iters left: 5 (76 enodes)
459.135 * * [simplify]: iters left: 4 (178 enodes)
459.188 * * [simplify]: iters left: 3 (415 enodes)
459.348 * * [simplify]: Extracting #0: cost 1 inf + 0
459.349 * * [simplify]: Extracting #1: cost 3 inf + 0
459.349 * * [simplify]: Extracting #2: cost 57 inf + 0
459.349 * * [simplify]: Extracting #3: cost 197 inf + 0
459.351 * * [simplify]: Extracting #4: cost 239 inf + 4999
459.366 * * [simplify]: Extracting #5: cost 58 inf + 49508
459.394 * * [simplify]: Extracting #6: cost 1 inf + 60915
459.422 * * [simplify]: Extracting #7: cost 0 inf + 59998
459.451 * * [simplify]: Extracting #8: cost 0 inf + 59918
459.479 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))
459.479 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (sqrt (* (+ phi1 phi2) (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))
459.480 * * * * [progress]: [ 600 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
459.480 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
459.481 * * [simplify]: iters left: 6 (43 enodes)
459.492 * * [simplify]: iters left: 5 (203 enodes)
459.554 * * [simplify]: Extracting #0: cost 1 inf + 0
459.554 * * [simplify]: Extracting #1: cost 3 inf + 0
459.554 * * [simplify]: Extracting #2: cost 10 inf + 0
459.554 * * [simplify]: Extracting #3: cost 58 inf + 0
459.555 * * [simplify]: Extracting #4: cost 107 inf + 1
459.556 * * [simplify]: Extracting #5: cost 137 inf + 380
459.557 * * [simplify]: Extracting #6: cost 183 inf + 2672
459.560 * * [simplify]: Extracting #7: cost 170 inf + 6813
459.564 * * [simplify]: Extracting #8: cost 116 inf + 15296
459.574 * * [simplify]: Extracting #9: cost 66 inf + 36292
459.595 * * [simplify]: Extracting #10: cost 9 inf + 72380
459.617 * * [simplify]: Extracting #11: cost 0 inf + 78011
459.635 * * [simplify]: Extracting #12: cost 0 inf + 77618
459.651 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))))
459.651 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
459.652 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
459.652 * * [simplify]: iters left: 6 (21 enodes)
459.657 * * [simplify]: iters left: 5 (94 enodes)
459.685 * * [simplify]: iters left: 4 (235 enodes)
459.770 * * [simplify]: Extracting #0: cost 1 inf + 0
459.770 * * [simplify]: Extracting #1: cost 3 inf + 0
459.770 * * [simplify]: Extracting #2: cost 22 inf + 0
459.770 * * [simplify]: Extracting #3: cost 102 inf + 0
459.771 * * [simplify]: Extracting #4: cost 155 inf + 291
459.772 * * [simplify]: Extracting #5: cost 138 inf + 2248
459.775 * * [simplify]: Extracting #6: cost 70 inf + 17852
459.784 * * [simplify]: Extracting #7: cost 13 inf + 40327
459.806 * * [simplify]: Extracting #8: cost 0 inf + 44057
459.832 * * [simplify]: Extracting #9: cost 0 inf + 42017
459.853 * [simplify]: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))
459.853 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))))
459.854 * * * * [progress]: [ 601 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
459.855 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
459.855 * * [simplify]: iters left: 6 (38 enodes)
459.875 * * [simplify]: iters left: 5 (175 enodes)
459.942 * * [simplify]: iters left: 4 (440 enodes)
460.142 * * [simplify]: Extracting #0: cost 1 inf + 0
460.142 * * [simplify]: Extracting #1: cost 3 inf + 0
460.142 * * [simplify]: Extracting #2: cost 13 inf + 0
460.143 * * [simplify]: Extracting #3: cost 87 inf + 0
460.144 * * [simplify]: Extracting #4: cost 278 inf + 44
460.147 * * [simplify]: Extracting #5: cost 408 inf + 1272
460.159 * * [simplify]: Extracting #6: cost 387 inf + 13114
460.175 * * [simplify]: Extracting #7: cost 257 inf + 49125
460.219 * * [simplify]: Extracting #8: cost 82 inf + 120920
460.266 * * [simplify]: Extracting #9: cost 4 inf + 159562
460.311 * * [simplify]: Extracting #10: cost 0 inf + 161135
460.360 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))
460.360 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
460.360 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))
460.361 * * [simplify]: iters left: 6 (17 enodes)
460.365 * * [simplify]: iters left: 5 (76 enodes)
460.378 * * [simplify]: iters left: 4 (178 enodes)
460.428 * * [simplify]: iters left: 3 (415 enodes)
460.592 * * [simplify]: Extracting #0: cost 1 inf + 0
460.592 * * [simplify]: Extracting #1: cost 3 inf + 0
460.592 * * [simplify]: Extracting #2: cost 57 inf + 0
460.593 * * [simplify]: Extracting #3: cost 197 inf + 0
460.595 * * [simplify]: Extracting #4: cost 239 inf + 4999
460.614 * * [simplify]: Extracting #5: cost 58 inf + 49508
460.642 * * [simplify]: Extracting #6: cost 1 inf + 60915
460.656 * * [simplify]: Extracting #7: cost 0 inf + 59998
460.675 * * [simplify]: Extracting #8: cost 0 inf + 59918
460.692 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))
460.692 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (sqrt (* (+ phi1 phi2) (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))
460.693 * * * * [progress]: [ 602 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
460.693 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
460.693 * * [simplify]: iters left: 6 (47 enodes)
460.706 * * [simplify]: iters left: 5 (226 enodes)
460.771 * * [simplify]: Extracting #0: cost 1 inf + 0
460.771 * * [simplify]: Extracting #1: cost 3 inf + 0
460.771 * * [simplify]: Extracting #2: cost 6 inf + 0
460.771 * * [simplify]: Extracting #3: cost 48 inf + 0
460.772 * * [simplify]: Extracting #4: cost 116 inf + 0
460.772 * * [simplify]: Extracting #5: cost 172 inf + 0
460.774 * * [simplify]: Extracting #6: cost 242 inf + 169
460.776 * * [simplify]: Extracting #7: cost 215 inf + 5556
460.782 * * [simplify]: Extracting #8: cost 138 inf + 18986
460.787 * * [simplify]: Extracting #9: cost 91 inf + 33238
460.796 * * [simplify]: Extracting #10: cost 56 inf + 48225
460.806 * * [simplify]: Extracting #11: cost 34 inf + 62747
460.834 * * [simplify]: Extracting #12: cost 3 inf + 88842
460.853 * * [simplify]: Extracting #13: cost 1 inf + 91812
460.886 * * [simplify]: Extracting #14: cost 0 inf + 93317
460.907 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
460.907 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
460.908 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
460.908 * * [simplify]: iters left: 6 (24 enodes)
460.918 * * [simplify]: iters left: 5 (112 enodes)
460.949 * * [simplify]: iters left: 4 (345 enodes)
461.179 * * [simplify]: Extracting #0: cost 1 inf + 0
461.180 * * [simplify]: Extracting #1: cost 3 inf + 0
461.180 * * [simplify]: Extracting #2: cost 37 inf + 0
461.181 * * [simplify]: Extracting #3: cost 279 inf + 0
461.184 * * [simplify]: Extracting #4: cost 435 inf + 167
461.191 * * [simplify]: Extracting #5: cost 412 inf + 10311
461.221 * * [simplify]: Extracting #6: cost 222 inf + 87210
461.287 * * [simplify]: Extracting #7: cost 25 inf + 184634
461.350 * * [simplify]: Extracting #8: cost 0 inf + 180297
461.436 * * [simplify]: Extracting #9: cost 0 inf + 174485
461.494 * * [simplify]: Extracting #10: cost 0 inf + 174405
461.582 * [simplify]: Simplified to (sqrt (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))
461.582 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))))
461.583 * * * * [progress]: [ 603 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
461.583 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
461.584 * * [simplify]: iters left: 6 (48 enodes)
461.610 * * [simplify]: iters left: 5 (235 enodes)
461.709 * * [simplify]: Extracting #0: cost 1 inf + 0
461.709 * * [simplify]: Extracting #1: cost 3 inf + 0
461.709 * * [simplify]: Extracting #2: cost 6 inf + 0
461.709 * * [simplify]: Extracting #3: cost 52 inf + 0
461.710 * * [simplify]: Extracting #4: cost 139 inf + 0
461.711 * * [simplify]: Extracting #5: cost 182 inf + 290
461.713 * * [simplify]: Extracting #6: cost 213 inf + 5129
461.718 * * [simplify]: Extracting #7: cost 192 inf + 13001
461.726 * * [simplify]: Extracting #8: cost 129 inf + 24607
461.741 * * [simplify]: Extracting #9: cost 64 inf + 50288
461.773 * * [simplify]: Extracting #10: cost 9 inf + 90432
461.812 * * [simplify]: Extracting #11: cost 0 inf + 95694
461.850 * * [simplify]: Extracting #12: cost 0 inf + 95094
461.889 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))
461.889 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
461.891 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
461.891 * * [simplify]: iters left: 6 (25 enodes)
461.903 * * [simplify]: iters left: 5 (116 enodes)
461.926 * * [simplify]: iters left: 4 (341 enodes)
462.123 * * [simplify]: Extracting #0: cost 1 inf + 0
462.123 * * [simplify]: Extracting #1: cost 3 inf + 0
462.124 * * [simplify]: Extracting #2: cost 64 inf + 0
462.124 * * [simplify]: Extracting #3: cost 297 inf + 0
462.126 * * [simplify]: Extracting #4: cost 374 inf + 860
462.131 * * [simplify]: Extracting #5: cost 370 inf + 5725
462.155 * * [simplify]: Extracting #6: cost 205 inf + 82239
462.198 * * [simplify]: Extracting #7: cost 15 inf + 167758
462.249 * * [simplify]: Extracting #8: cost 0 inf + 157840
462.327 * * [simplify]: Extracting #9: cost 0 inf + 155425
462.379 * [simplify]: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (+ phi2 phi1)))
462.379 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (+ phi2 phi1))))))
462.380 * * * * [progress]: [ 604 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
462.380 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
462.380 * * [simplify]: iters left: 6 (48 enodes)
462.397 * * [simplify]: iters left: 5 (235 enodes)
462.470 * * [simplify]: Extracting #0: cost 1 inf + 0
462.470 * * [simplify]: Extracting #1: cost 3 inf + 0
462.470 * * [simplify]: Extracting #2: cost 6 inf + 0
462.470 * * [simplify]: Extracting #3: cost 54 inf + 0
462.471 * * [simplify]: Extracting #4: cost 137 inf + 0
462.472 * * [simplify]: Extracting #5: cost 178 inf + 290
462.474 * * [simplify]: Extracting #6: cost 213 inf + 4962
462.478 * * [simplify]: Extracting #7: cost 196 inf + 10974
462.482 * * [simplify]: Extracting #8: cost 130 inf + 24631
462.490 * * [simplify]: Extracting #9: cost 69 inf + 46776
462.503 * * [simplify]: Extracting #10: cost 33 inf + 68205
462.524 * * [simplify]: Extracting #11: cost 1 inf + 93141
462.561 * * [simplify]: Extracting #12: cost 0 inf + 93886
462.597 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2)))))))
462.597 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
462.598 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
462.599 * * [simplify]: iters left: 6 (25 enodes)
462.610 * * [simplify]: iters left: 5 (116 enodes)
462.654 * * [simplify]: iters left: 4 (339 enodes)
462.838 * * [simplify]: Extracting #0: cost 1 inf + 0
462.838 * * [simplify]: Extracting #1: cost 3 inf + 0
462.838 * * [simplify]: Extracting #2: cost 55 inf + 0
462.840 * * [simplify]: Extracting #3: cost 261 inf + 0
462.842 * * [simplify]: Extracting #4: cost 328 inf + 1345
462.849 * * [simplify]: Extracting #5: cost 309 inf + 9563
462.853 * * [simplify]: Extracting #6: cost 275 inf + 14557
462.868 * * [simplify]: Extracting #7: cost 137 inf + 79534
462.913 * * [simplify]: Extracting #8: cost 13 inf + 143200
462.984 * * [simplify]: Extracting #9: cost 0 inf + 135399
463.057 * * [simplify]: Extracting #10: cost 0 inf + 131984
463.111 * [simplify]: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ phi1 phi2))))
463.111 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ phi1 phi2)))))))
463.112 * * * * [progress]: [ 605 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
463.112 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
463.113 * * [simplify]: iters left: 6 (42 enodes)
463.124 * * [simplify]: iters left: 5 (199 enodes)
463.169 * * [simplify]: Extracting #0: cost 1 inf + 0
463.169 * * [simplify]: Extracting #1: cost 3 inf + 0
463.169 * * [simplify]: Extracting #2: cost 6 inf + 0
463.169 * * [simplify]: Extracting #3: cost 46 inf + 0
463.169 * * [simplify]: Extracting #4: cost 96 inf + 0
463.170 * * [simplify]: Extracting #5: cost 120 inf + 45
463.171 * * [simplify]: Extracting #6: cost 175 inf + 1112
463.173 * * [simplify]: Extracting #7: cost 164 inf + 5403
463.178 * * [simplify]: Extracting #8: cost 111 inf + 14235
463.192 * * [simplify]: Extracting #9: cost 66 inf + 32652
463.213 * * [simplify]: Extracting #10: cost 12 inf + 67909
463.240 * * [simplify]: Extracting #11: cost 0 inf + 69947
463.267 * * [simplify]: Extracting #12: cost 0 inf + 68688
463.281 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1))))))
463.282 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
463.282 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))
463.283 * * [simplify]: iters left: 6 (20 enodes)
463.287 * * [simplify]: iters left: 5 (94 enodes)
463.305 * * [simplify]: iters left: 4 (268 enodes)
463.425 * * [simplify]: Extracting #0: cost 1 inf + 0
463.425 * * [simplify]: Extracting #1: cost 3 inf + 0
463.425 * * [simplify]: Extracting #2: cost 36 inf + 0
463.425 * * [simplify]: Extracting #3: cost 200 inf + 0
463.426 * * [simplify]: Extracting #4: cost 246 inf + 210
463.431 * * [simplify]: Extracting #5: cost 149 inf + 26843
463.446 * * [simplify]: Extracting #6: cost 8 inf + 70239
463.470 * * [simplify]: Extracting #7: cost 0 inf + 64979
463.496 * * [simplify]: Extracting #8: cost 0 inf + 64819
463.511 * [simplify]: Simplified to (sqrt (* (* (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (+ phi1 phi2)) (+ phi1 phi2)))
463.511 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1)))))) (sqrt (* (* (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (+ phi1 phi2)) (+ phi1 phi2))))))
463.512 * * * * [progress]: [ 606 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
463.512 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
463.512 * * [simplify]: iters left: 6 (47 enodes)
463.535 * * [simplify]: iters left: 5 (227 enodes)
463.624 * * [simplify]: Extracting #0: cost 1 inf + 0
463.624 * * [simplify]: Extracting #1: cost 3 inf + 0
463.624 * * [simplify]: Extracting #2: cost 10 inf + 0
463.624 * * [simplify]: Extracting #3: cost 66 inf + 0
463.625 * * [simplify]: Extracting #4: cost 118 inf + 42
463.626 * * [simplify]: Extracting #5: cost 144 inf + 291
463.628 * * [simplify]: Extracting #6: cost 197 inf + 2970
463.630 * * [simplify]: Extracting #7: cost 192 inf + 6297
463.633 * * [simplify]: Extracting #8: cost 126 inf + 19372
463.638 * * [simplify]: Extracting #9: cost 82 inf + 31988
463.649 * * [simplify]: Extracting #10: cost 39 inf + 57341
463.671 * * [simplify]: Extracting #11: cost 3 inf + 83130
463.706 * * [simplify]: Extracting #12: cost 1 inf + 85340
463.740 * * [simplify]: Extracting #13: cost 0 inf + 86845
463.775 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))
463.775 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
463.777 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
463.777 * * [simplify]: iters left: 6 (23 enodes)
463.788 * * [simplify]: iters left: 5 (107 enodes)
463.829 * * [simplify]: iters left: 4 (267 enodes)
463.932 * * [simplify]: Extracting #0: cost 1 inf + 0
463.932 * * [simplify]: Extracting #1: cost 3 inf + 0
463.932 * * [simplify]: Extracting #2: cost 50 inf + 0
463.932 * * [simplify]: Extracting #3: cost 184 inf + 0
463.933 * * [simplify]: Extracting #4: cost 238 inf + 451
463.938 * * [simplify]: Extracting #5: cost 146 inf + 31264
463.962 * * [simplify]: Extracting #6: cost 5 inf + 75887
463.994 * * [simplify]: Extracting #7: cost 0 inf + 68299
464.012 * * [simplify]: Extracting #8: cost 0 inf + 68179
464.034 * [simplify]: Simplified to (sqrt (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))
464.034 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))
464.035 * * * * [progress]: [ 607 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
464.035 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
464.035 * * [simplify]: iters left: 6 (42 enodes)
464.047 * * [simplify]: iters left: 5 (200 enodes)
464.097 * * [simplify]: Extracting #0: cost 1 inf + 0
464.098 * * [simplify]: Extracting #1: cost 3 inf + 0
464.098 * * [simplify]: Extracting #2: cost 10 inf + 0
464.098 * * [simplify]: Extracting #3: cost 51 inf + 0
464.098 * * [simplify]: Extracting #4: cost 95 inf + 86
464.098 * * [simplify]: Extracting #5: cost 110 inf + 784
464.099 * * [simplify]: Extracting #6: cost 167 inf + 2528
464.100 * * [simplify]: Extracting #7: cost 167 inf + 4265
464.104 * * [simplify]: Extracting #8: cost 83 inf + 31013
464.124 * * [simplify]: Extracting #9: cost 20 inf + 64823
464.143 * * [simplify]: Extracting #10: cost 0 inf + 70885
464.158 * * [simplify]: Extracting #11: cost 0 inf + 67393
464.173 * * [simplify]: Extracting #12: cost 0 inf + 67262
464.190 * [simplify]: Simplified to (sqrt (+ (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
464.191 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
464.191 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
464.191 * * [simplify]: iters left: 6 (19 enodes)
464.196 * * [simplify]: iters left: 5 (89 enodes)
464.215 * * [simplify]: iters left: 4 (214 enodes)
464.296 * * [simplify]: Extracting #0: cost 1 inf + 0
464.296 * * [simplify]: Extracting #1: cost 3 inf + 0
464.296 * * [simplify]: Extracting #2: cost 22 inf + 0
464.297 * * [simplify]: Extracting #3: cost 85 inf + 0
464.297 * * [simplify]: Extracting #4: cost 120 inf + 3
464.299 * * [simplify]: Extracting #5: cost 108 inf + 2314
464.312 * * [simplify]: Extracting #6: cost 11 inf + 28761
464.326 * * [simplify]: Extracting #7: cost 0 inf + 27225
464.342 * * [simplify]: Extracting #8: cost 0 inf + 27065
464.356 * [simplify]: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (+ phi1 phi2)))
464.356 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (+ phi1 phi2))))))
464.357 * * * * [progress]: [ 608 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
464.357 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
464.358 * * [simplify]: iters left: 6 (47 enodes)
464.382 * * [simplify]: iters left: 5 (227 enodes)
464.435 * * [simplify]: Extracting #0: cost 1 inf + 0
464.435 * * [simplify]: Extracting #1: cost 3 inf + 0
464.435 * * [simplify]: Extracting #2: cost 10 inf + 0
464.435 * * [simplify]: Extracting #3: cost 66 inf + 0
464.436 * * [simplify]: Extracting #4: cost 118 inf + 42
464.438 * * [simplify]: Extracting #5: cost 143 inf + 333
464.440 * * [simplify]: Extracting #6: cost 193 inf + 3818
464.441 * * [simplify]: Extracting #7: cost 192 inf + 6297
464.444 * * [simplify]: Extracting #8: cost 121 inf + 20221
464.452 * * [simplify]: Extracting #9: cost 60 inf + 43536
464.471 * * [simplify]: Extracting #10: cost 30 inf + 63655
464.493 * * [simplify]: Extracting #11: cost 4 inf + 82505
464.512 * * [simplify]: Extracting #12: cost 1 inf + 86140
464.530 * * [simplify]: Extracting #13: cost 0 inf + 87645
464.548 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))
464.548 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
464.549 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
464.549 * * [simplify]: iters left: 6 (23 enodes)
464.556 * * [simplify]: iters left: 5 (107 enodes)
464.575 * * [simplify]: iters left: 4 (267 enodes)
464.704 * * [simplify]: Extracting #0: cost 1 inf + 0
464.704 * * [simplify]: Extracting #1: cost 3 inf + 0
464.705 * * [simplify]: Extracting #2: cost 50 inf + 0
464.705 * * [simplify]: Extracting #3: cost 184 inf + 0
464.707 * * [simplify]: Extracting #4: cost 238 inf + 451
464.715 * * [simplify]: Extracting #5: cost 146 inf + 31264
464.732 * * [simplify]: Extracting #6: cost 5 inf + 75887
464.754 * * [simplify]: Extracting #7: cost 0 inf + 68299
464.771 * * [simplify]: Extracting #8: cost 0 inf + 68179
464.794 * [simplify]: Simplified to (sqrt (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))
464.794 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))
464.795 * * * * [progress]: [ 609 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
464.795 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
464.796 * * [simplify]: iters left: 6 (42 enodes)
464.810 * * [simplify]: iters left: 5 (200 enodes)
464.865 * * [simplify]: Extracting #0: cost 1 inf + 0
464.865 * * [simplify]: Extracting #1: cost 3 inf + 0
464.865 * * [simplify]: Extracting #2: cost 10 inf + 0
464.865 * * [simplify]: Extracting #3: cost 50 inf + 0
464.865 * * [simplify]: Extracting #4: cost 96 inf + 44
464.866 * * [simplify]: Extracting #5: cost 110 inf + 784
464.868 * * [simplify]: Extracting #6: cost 166 inf + 2609
464.870 * * [simplify]: Extracting #7: cost 167 inf + 4265
464.877 * * [simplify]: Extracting #8: cost 90 inf + 29646
464.895 * * [simplify]: Extracting #9: cost 20 inf + 65114
464.919 * * [simplify]: Extracting #10: cost 0 inf + 71205
464.945 * * [simplify]: Extracting #11: cost 0 inf + 67713
464.961 * * [simplify]: Extracting #12: cost 0 inf + 67582
464.975 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
464.975 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
464.975 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
464.976 * * [simplify]: iters left: 6 (19 enodes)
464.980 * * [simplify]: iters left: 5 (89 enodes)
465.010 * * [simplify]: iters left: 4 (214 enodes)
465.089 * * [simplify]: Extracting #0: cost 1 inf + 0
465.089 * * [simplify]: Extracting #1: cost 3 inf + 0
465.089 * * [simplify]: Extracting #2: cost 22 inf + 0
465.090 * * [simplify]: Extracting #3: cost 85 inf + 0
465.090 * * [simplify]: Extracting #4: cost 120 inf + 3
465.092 * * [simplify]: Extracting #5: cost 108 inf + 2314
465.104 * * [simplify]: Extracting #6: cost 11 inf + 28761
465.117 * * [simplify]: Extracting #7: cost 0 inf + 27225
465.131 * * [simplify]: Extracting #8: cost 0 inf + 27065
465.143 * [simplify]: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (+ phi1 phi2)))
465.143 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (+ phi1 phi2))))))
465.143 * * * * [progress]: [ 610 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
465.144 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
465.144 * * [simplify]: iters left: 6 (47 enodes)
465.156 * * [simplify]: iters left: 5 (230 enodes)
465.239 * * [simplify]: Extracting #0: cost 1 inf + 0
465.239 * * [simplify]: Extracting #1: cost 3 inf + 0
465.239 * * [simplify]: Extracting #2: cost 6 inf + 0
465.240 * * [simplify]: Extracting #3: cost 52 inf + 0
465.240 * * [simplify]: Extracting #4: cost 118 inf + 0
465.240 * * [simplify]: Extracting #5: cost 190 inf + 0
465.241 * * [simplify]: Extracting #6: cost 259 inf + 804
465.242 * * [simplify]: Extracting #7: cost 227 inf + 8379
465.245 * * [simplify]: Extracting #8: cost 162 inf + 18170
465.251 * * [simplify]: Extracting #9: cost 96 inf + 37922
465.263 * * [simplify]: Extracting #10: cost 33 inf + 72337
465.287 * * [simplify]: Extracting #11: cost 4 inf + 100216
465.330 * * [simplify]: Extracting #12: cost 0 inf + 106436
465.355 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))))
465.355 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
465.356 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
465.356 * * [simplify]: iters left: 6 (24 enodes)
465.361 * * [simplify]: iters left: 5 (113 enodes)
465.396 * * [simplify]: iters left: 4 (332 enodes)
465.576 * * [simplify]: Extracting #0: cost 1 inf + 0
465.576 * * [simplify]: Extracting #1: cost 3 inf + 0
465.576 * * [simplify]: Extracting #2: cost 36 inf + 0
465.576 * * [simplify]: Extracting #3: cost 278 inf + 0
465.578 * * [simplify]: Extracting #4: cost 442 inf + 85
465.581 * * [simplify]: Extracting #5: cost 406 inf + 12172
465.609 * * [simplify]: Extracting #6: cost 188 inf + 90825
465.694 * * [simplify]: Extracting #7: cost 11 inf + 185639
465.785 * * [simplify]: Extracting #8: cost 0 inf + 183400
465.834 * * [simplify]: Extracting #9: cost 0 inf + 182480
465.881 * * [simplify]: Extracting #10: cost 0 inf + 182400
465.931 * * [simplify]: Extracting #11: cost 0 inf + 182360
465.993 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))
465.993 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))))
465.993 * * * * [progress]: [ 611 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
465.994 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
465.994 * * [simplify]: iters left: 6 (48 enodes)
466.008 * * [simplify]: iters left: 5 (239 enodes)
466.084 * * [simplify]: Extracting #0: cost 1 inf + 0
466.084 * * [simplify]: Extracting #1: cost 3 inf + 0
466.084 * * [simplify]: Extracting #2: cost 6 inf + 0
466.084 * * [simplify]: Extracting #3: cost 56 inf + 0
466.084 * * [simplify]: Extracting #4: cost 141 inf + 0
466.085 * * [simplify]: Extracting #5: cost 202 inf + 127
466.086 * * [simplify]: Extracting #6: cost 242 inf + 4926
466.088 * * [simplify]: Extracting #7: cost 215 inf + 11260
466.094 * * [simplify]: Extracting #8: cost 141 inf + 26771
466.102 * * [simplify]: Extracting #9: cost 78 inf + 48056
466.120 * * [simplify]: Extracting #10: cost 11 inf + 96500
466.153 * * [simplify]: Extracting #11: cost 0 inf + 105693
466.174 * * [simplify]: Extracting #12: cost 0 inf + 105293
466.196 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))))
466.197 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
466.198 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
466.198 * * [simplify]: iters left: 6 (25 enodes)
466.211 * * [simplify]: iters left: 5 (117 enodes)
466.258 * * [simplify]: iters left: 4 (329 enodes)
467.029 * * [simplify]: Extracting #0: cost 1 inf + 0
467.029 * * [simplify]: Extracting #1: cost 3 inf + 0
467.029 * * [simplify]: Extracting #2: cost 61 inf + 0
467.030 * * [simplify]: Extracting #3: cost 285 inf + 0
467.033 * * [simplify]: Extracting #4: cost 382 inf + 85
467.039 * * [simplify]: Extracting #5: cost 391 inf + 7490
467.049 * * [simplify]: Extracting #6: cost 282 inf + 28676
467.061 * * [simplify]: Extracting #7: cost 211 inf + 44153
467.085 * * [simplify]: Extracting #8: cost 96 inf + 103957
467.160 * * [simplify]: Extracting #9: cost 3 inf + 158872
467.206 * * [simplify]: Extracting #10: cost 0 inf + 160804
467.256 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi2 phi1))))
467.256 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi2 phi1)))))))
467.257 * * * * [progress]: [ 612 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
467.257 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
467.257 * * [simplify]: iters left: 6 (48 enodes)
467.283 * * [simplify]: iters left: 5 (239 enodes)
467.357 * * [simplify]: Extracting #0: cost 1 inf + 0
467.357 * * [simplify]: Extracting #1: cost 3 inf + 0
467.357 * * [simplify]: Extracting #2: cost 6 inf + 0
467.357 * * [simplify]: Extracting #3: cost 58 inf + 0
467.358 * * [simplify]: Extracting #4: cost 139 inf + 0
467.359 * * [simplify]: Extracting #5: cost 196 inf + 210
467.361 * * [simplify]: Extracting #6: cost 233 inf + 5123
467.364 * * [simplify]: Extracting #7: cost 214 inf + 10790
467.368 * * [simplify]: Extracting #8: cost 140 inf + 28047
467.376 * * [simplify]: Extracting #9: cost 72 inf + 51379
467.393 * * [simplify]: Extracting #10: cost 7 inf + 99292
467.433 * * [simplify]: Extracting #11: cost 0 inf + 104805
467.471 * * [simplify]: Extracting #12: cost 0 inf + 104525
467.494 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))))
467.494 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
467.495 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
467.495 * * [simplify]: iters left: 6 (25 enodes)
467.501 * * [simplify]: iters left: 5 (117 enodes)
467.524 * * [simplify]: iters left: 4 (327 enodes)
467.688 * * [simplify]: Extracting #0: cost 1 inf + 0
467.688 * * [simplify]: Extracting #1: cost 3 inf + 0
467.689 * * [simplify]: Extracting #2: cost 55 inf + 0
467.689 * * [simplify]: Extracting #3: cost 272 inf + 0
467.691 * * [simplify]: Extracting #4: cost 355 inf + 250
467.693 * * [simplify]: Extracting #5: cost 365 inf + 6614
467.699 * * [simplify]: Extracting #6: cost 256 inf + 27774
467.735 * * [simplify]: Extracting #7: cost 90 inf + 95458
467.800 * * [simplify]: Extracting #8: cost 3 inf + 145587
467.843 * * [simplify]: Extracting #9: cost 0 inf + 146959
467.912 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))
467.912 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (+ phi1 phi2) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))))))
467.913 * * * * [progress]: [ 613 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
467.913 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
467.914 * * [simplify]: iters left: 6 (42 enodes)
467.936 * * [simplify]: iters left: 5 (203 enodes)
468.017 * * [simplify]: Extracting #0: cost 1 inf + 0
468.018 * * [simplify]: Extracting #1: cost 3 inf + 0
468.018 * * [simplify]: Extracting #2: cost 6 inf + 0
468.018 * * [simplify]: Extracting #3: cost 50 inf + 0
468.018 * * [simplify]: Extracting #4: cost 107 inf + 0
468.019 * * [simplify]: Extracting #5: cost 147 inf + 85
468.020 * * [simplify]: Extracting #6: cost 204 inf + 1191
468.022 * * [simplify]: Extracting #7: cost 195 inf + 3671
468.026 * * [simplify]: Extracting #8: cost 134 inf + 14629
468.034 * * [simplify]: Extracting #9: cost 78 inf + 30645
468.044 * * [simplify]: Extracting #10: cost 31 inf + 56224
468.061 * * [simplify]: Extracting #11: cost 2 inf + 78734
468.092 * * [simplify]: Extracting #12: cost 1 inf + 80279
468.123 * * [simplify]: Extracting #13: cost 0 inf + 81824
468.154 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))))
468.155 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
468.156 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))
468.156 * * [simplify]: iters left: 6 (20 enodes)
468.166 * * [simplify]: iters left: 5 (95 enodes)
468.193 * * [simplify]: iters left: 4 (257 enodes)
468.309 * * [simplify]: Extracting #0: cost 1 inf + 0
468.309 * * [simplify]: Extracting #1: cost 3 inf + 0
468.309 * * [simplify]: Extracting #2: cost 29 inf + 0
468.309 * * [simplify]: Extracting #3: cost 134 inf + 0
468.310 * * [simplify]: Extracting #4: cost 188 inf + 371
468.311 * * [simplify]: Extracting #5: cost 218 inf + 3580
468.313 * * [simplify]: Extracting #6: cost 186 inf + 7242
468.320 * * [simplify]: Extracting #7: cost 68 inf + 37033
468.347 * * [simplify]: Extracting #8: cost 5 inf + 66403
468.378 * * [simplify]: Extracting #9: cost 0 inf + 69181
468.395 * * [simplify]: Extracting #10: cost 0 inf + 69101
468.427 * * [simplify]: Extracting #11: cost 0 inf + 69061
468.448 * [simplify]: Simplified to (sqrt (* (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))
468.448 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))))
468.449 * * * * [progress]: [ 614 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
468.449 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
468.450 * * [simplify]: iters left: 6 (47 enodes)
468.465 * * [simplify]: iters left: 5 (231 enodes)
468.544 * * [simplify]: Extracting #0: cost 1 inf + 0
468.544 * * [simplify]: Extracting #1: cost 3 inf + 0
468.544 * * [simplify]: Extracting #2: cost 10 inf + 0
468.544 * * [simplify]: Extracting #3: cost 70 inf + 0
468.545 * * [simplify]: Extracting #4: cost 124 inf + 42
468.546 * * [simplify]: Extracting #5: cost 168 inf + 290
468.548 * * [simplify]: Extracting #6: cost 223 inf + 2445
468.551 * * [simplify]: Extracting #7: cost 201 inf + 8577
468.558 * * [simplify]: Extracting #8: cost 123 inf + 22470
468.574 * * [simplify]: Extracting #9: cost 50 inf + 53803
468.592 * * [simplify]: Extracting #10: cost 25 inf + 72850
468.610 * * [simplify]: Extracting #11: cost 0 inf + 96595
468.642 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
468.642 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
468.642 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
468.643 * * [simplify]: iters left: 6 (23 enodes)
468.651 * * [simplify]: iters left: 5 (108 enodes)
468.674 * * [simplify]: iters left: 4 (274 enodes)
468.768 * * [simplify]: Extracting #0: cost 1 inf + 0
468.768 * * [simplify]: Extracting #1: cost 3 inf + 0
468.768 * * [simplify]: Extracting #2: cost 28 inf + 0
468.768 * * [simplify]: Extracting #3: cost 110 inf + 0
468.769 * * [simplify]: Extracting #4: cost 190 inf + 85
468.770 * * [simplify]: Extracting #5: cost 237 inf + 700
468.771 * * [simplify]: Extracting #6: cost 204 inf + 3436
468.775 * * [simplify]: Extracting #7: cost 120 inf + 22350
468.799 * * [simplify]: Extracting #8: cost 24 inf + 63397
468.838 * * [simplify]: Extracting #9: cost 0 inf + 76004
468.875 * [simplify]: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))
468.875 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))))
468.876 * * * * [progress]: [ 615 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
468.876 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
468.877 * * [simplify]: iters left: 6 (42 enodes)
468.900 * * [simplify]: iters left: 5 (203 enodes)
468.952 * * [simplify]: Extracting #0: cost 1 inf + 0
468.953 * * [simplify]: Extracting #1: cost 3 inf + 0
468.953 * * [simplify]: Extracting #2: cost 10 inf + 0
468.953 * * [simplify]: Extracting #3: cost 62 inf + 0
468.953 * * [simplify]: Extracting #4: cost 104 inf + 86
468.954 * * [simplify]: Extracting #5: cost 127 inf + 1918
468.956 * * [simplify]: Extracting #6: cost 190 inf + 2932
468.962 * * [simplify]: Extracting #7: cost 193 inf + 3790
468.967 * * [simplify]: Extracting #8: cost 121 inf + 17991
468.978 * * [simplify]: Extracting #9: cost 74 inf + 33321
469.002 * * [simplify]: Extracting #10: cost 17 inf + 66164
469.027 * * [simplify]: Extracting #11: cost 1 inf + 78649
469.044 * * [simplify]: Extracting #12: cost 0 inf + 80194
469.067 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)))))
469.067 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
469.068 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))
469.068 * * [simplify]: iters left: 6 (19 enodes)
469.077 * * [simplify]: iters left: 5 (90 enodes)
469.106 * * [simplify]: iters left: 4 (217 enodes)
469.166 * * [simplify]: Extracting #0: cost 1 inf + 0
469.166 * * [simplify]: Extracting #1: cost 3 inf + 0
469.166 * * [simplify]: Extracting #2: cost 18 inf + 0
469.166 * * [simplify]: Extracting #3: cost 48 inf + 0
469.167 * * [simplify]: Extracting #4: cost 94 inf + 44
469.167 * * [simplify]: Extracting #5: cost 145 inf + 86
469.168 * * [simplify]: Extracting #6: cost 125 inf + 2278
469.173 * * [simplify]: Extracting #7: cost 34 inf + 24926
469.183 * * [simplify]: Extracting #8: cost 0 inf + 34699
469.194 * * [simplify]: Extracting #9: cost 0 inf + 33939
469.211 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2))))
469.211 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2)))))))
469.212 * * * * [progress]: [ 616 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
469.213 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
469.213 * * [simplify]: iters left: 6 (47 enodes)
469.239 * * [simplify]: iters left: 5 (231 enodes)
469.306 * * [simplify]: Extracting #0: cost 1 inf + 0
469.306 * * [simplify]: Extracting #1: cost 3 inf + 0
469.306 * * [simplify]: Extracting #2: cost 10 inf + 0
469.307 * * [simplify]: Extracting #3: cost 70 inf + 0
469.307 * * [simplify]: Extracting #4: cost 124 inf + 42
469.308 * * [simplify]: Extracting #5: cost 167 inf + 332
469.310 * * [simplify]: Extracting #6: cost 218 inf + 3455
469.312 * * [simplify]: Extracting #7: cost 201 inf + 8577
469.315 * * [simplify]: Extracting #8: cost 138 inf + 17743
469.321 * * [simplify]: Extracting #9: cost 92 inf + 37121
469.331 * * [simplify]: Extracting #10: cost 40 inf + 60515
469.351 * * [simplify]: Extracting #11: cost 25 inf + 73810
469.381 * * [simplify]: Extracting #12: cost 0 inf + 97555
469.401 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
469.401 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
469.402 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
469.402 * * [simplify]: iters left: 6 (23 enodes)
469.416 * * [simplify]: iters left: 5 (108 enodes)
469.446 * * [simplify]: iters left: 4 (274 enodes)
469.552 * * [simplify]: Extracting #0: cost 1 inf + 0
469.552 * * [simplify]: Extracting #1: cost 3 inf + 0
469.552 * * [simplify]: Extracting #2: cost 28 inf + 0
469.553 * * [simplify]: Extracting #3: cost 110 inf + 0
469.554 * * [simplify]: Extracting #4: cost 190 inf + 85
469.556 * * [simplify]: Extracting #5: cost 237 inf + 700
469.558 * * [simplify]: Extracting #6: cost 204 inf + 3436
469.567 * * [simplify]: Extracting #7: cost 120 inf + 22350
469.593 * * [simplify]: Extracting #8: cost 24 inf + 63397
469.629 * * [simplify]: Extracting #9: cost 0 inf + 76004
469.668 * [simplify]: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))
469.668 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))))
469.669 * * * * [progress]: [ 617 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
469.669 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
469.670 * * [simplify]: iters left: 6 (42 enodes)
469.685 * * [simplify]: iters left: 5 (203 enodes)
469.740 * * [simplify]: Extracting #0: cost 1 inf + 0
469.740 * * [simplify]: Extracting #1: cost 3 inf + 0
469.740 * * [simplify]: Extracting #2: cost 10 inf + 0
469.740 * * [simplify]: Extracting #3: cost 61 inf + 0
469.740 * * [simplify]: Extracting #4: cost 105 inf + 44
469.741 * * [simplify]: Extracting #5: cost 132 inf + 1228
469.742 * * [simplify]: Extracting #6: cost 191 inf + 2770
469.743 * * [simplify]: Extracting #7: cost 193 inf + 3790
469.748 * * [simplify]: Extracting #8: cost 124 inf + 15972
469.753 * * [simplify]: Extracting #9: cost 80 inf + 29491
469.763 * * [simplify]: Extracting #10: cost 27 inf + 57933
469.778 * * [simplify]: Extracting #11: cost 1 inf + 78289
469.804 * * [simplify]: Extracting #12: cost 0 inf + 79794
469.823 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ phi2 phi1)))))
469.823 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
469.824 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))
469.824 * * [simplify]: iters left: 6 (19 enodes)
469.828 * * [simplify]: iters left: 5 (90 enodes)
469.847 * * [simplify]: iters left: 4 (217 enodes)
469.914 * * [simplify]: Extracting #0: cost 1 inf + 0
469.914 * * [simplify]: Extracting #1: cost 3 inf + 0
469.915 * * [simplify]: Extracting #2: cost 18 inf + 0
469.915 * * [simplify]: Extracting #3: cost 48 inf + 0
469.915 * * [simplify]: Extracting #4: cost 94 inf + 44
469.916 * * [simplify]: Extracting #5: cost 145 inf + 86
469.918 * * [simplify]: Extracting #6: cost 125 inf + 2278
469.927 * * [simplify]: Extracting #7: cost 34 inf + 24926
469.941 * * [simplify]: Extracting #8: cost 0 inf + 34699
469.952 * * [simplify]: Extracting #9: cost 0 inf + 33939
469.961 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2))))
469.961 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2)))))))
469.961 * * * * [progress]: [ 618 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
469.962 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
469.962 * * [simplify]: iters left: 6 (48 enodes)
469.981 * * [simplify]: iters left: 5 (228 enodes)
470.055 * * [simplify]: Extracting #0: cost 1 inf + 0
470.055 * * [simplify]: Extracting #1: cost 3 inf + 0
470.055 * * [simplify]: Extracting #2: cost 6 inf + 0
470.055 * * [simplify]: Extracting #3: cost 52 inf + 0
470.056 * * [simplify]: Extracting #4: cost 118 inf + 0
470.056 * * [simplify]: Extracting #5: cost 190 inf + 0
470.057 * * [simplify]: Extracting #6: cost 255 inf + 2444
470.058 * * [simplify]: Extracting #7: cost 221 inf + 9063
470.062 * * [simplify]: Extracting #8: cost 131 inf + 25768
470.069 * * [simplify]: Extracting #9: cost 74 inf + 44071
470.083 * * [simplify]: Extracting #10: cost 25 inf + 82548
470.103 * * [simplify]: Extracting #11: cost 1 inf + 105492
470.125 * * [simplify]: Extracting #12: cost 0 inf + 106176
470.162 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))
470.163 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
470.164 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
470.164 * * [simplify]: iters left: 6 (23 enodes)
470.176 * * [simplify]: iters left: 5 (104 enodes)
470.214 * * [simplify]: iters left: 4 (312 enodes)
470.460 * * [simplify]: Extracting #0: cost 1 inf + 0
470.460 * * [simplify]: Extracting #1: cost 3 inf + 0
470.460 * * [simplify]: Extracting #2: cost 37 inf + 0
470.461 * * [simplify]: Extracting #3: cost 278 inf + 0
470.462 * * [simplify]: Extracting #4: cost 436 inf + 248
470.465 * * [simplify]: Extracting #5: cost 397 inf + 12104
470.496 * * [simplify]: Extracting #6: cost 159 inf + 116423
470.551 * * [simplify]: Extracting #7: cost 4 inf + 188702
470.607 * * [simplify]: Extracting #8: cost 0 inf + 181274
470.659 * * [simplify]: Extracting #9: cost 0 inf + 181034
470.711 * * [simplify]: Extracting #10: cost 0 inf + 180954
470.791 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))
470.791 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))))))
470.792 * * * * [progress]: [ 619 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
470.792 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
470.793 * * [simplify]: iters left: 6 (49 enodes)
470.808 * * [simplify]: iters left: 5 (237 enodes)
470.861 * * [simplify]: Extracting #0: cost 1 inf + 0
470.862 * * [simplify]: Extracting #1: cost 3 inf + 0
470.862 * * [simplify]: Extracting #2: cost 6 inf + 0
470.862 * * [simplify]: Extracting #3: cost 56 inf + 0
470.862 * * [simplify]: Extracting #4: cost 141 inf + 0
470.862 * * [simplify]: Extracting #5: cost 201 inf + 249
470.864 * * [simplify]: Extracting #6: cost 234 inf + 5687
470.866 * * [simplify]: Extracting #7: cost 207 inf + 12055
470.869 * * [simplify]: Extracting #8: cost 159 inf + 18098
470.874 * * [simplify]: Extracting #9: cost 113 inf + 32212
470.883 * * [simplify]: Extracting #10: cost 62 inf + 55123
470.900 * * [simplify]: Extracting #11: cost 34 inf + 74444
470.936 * * [simplify]: Extracting #12: cost 3 inf + 106198
470.974 * * [simplify]: Extracting #13: cost 0 inf + 110233
470.998 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
470.998 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
470.999 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
470.999 * * [simplify]: iters left: 6 (24 enodes)
471.007 * * [simplify]: iters left: 5 (108 enodes)
471.038 * * [simplify]: iters left: 4 (309 enodes)
471.229 * * [simplify]: Extracting #0: cost 1 inf + 0
471.229 * * [simplify]: Extracting #1: cost 3 inf + 0
471.229 * * [simplify]: Extracting #2: cost 61 inf + 0
471.230 * * [simplify]: Extracting #3: cost 291 inf + 0
471.233 * * [simplify]: Extracting #4: cost 380 inf + 208
471.239 * * [simplify]: Extracting #5: cost 359 inf + 8625
471.273 * * [simplify]: Extracting #6: cost 171 inf + 88690
471.319 * * [simplify]: Extracting #7: cost 6 inf + 166988
471.388 * * [simplify]: Extracting #8: cost 0 inf + 160128
471.437 * * [simplify]: Extracting #9: cost 0 inf + 159808
471.512 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))))
471.512 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)))))))
471.513 * * * * [progress]: [ 620 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
471.514 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
471.515 * * [simplify]: iters left: 6 (49 enodes)
471.541 * * [simplify]: iters left: 5 (237 enodes)
471.606 * * [simplify]: Extracting #0: cost 1 inf + 0
471.607 * * [simplify]: Extracting #1: cost 3 inf + 0
471.607 * * [simplify]: Extracting #2: cost 6 inf + 0
471.607 * * [simplify]: Extracting #3: cost 58 inf + 0
471.607 * * [simplify]: Extracting #4: cost 139 inf + 0
471.607 * * [simplify]: Extracting #5: cost 198 inf + 127
471.609 * * [simplify]: Extracting #6: cost 232 inf + 5403
471.611 * * [simplify]: Extracting #7: cost 201 inf + 11946
471.614 * * [simplify]: Extracting #8: cost 155 inf + 19831
471.619 * * [simplify]: Extracting #9: cost 105 inf + 33481
471.628 * * [simplify]: Extracting #10: cost 60 inf + 54208
471.646 * * [simplify]: Extracting #11: cost 7 inf + 100170
471.684 * * [simplify]: Extracting #12: cost 0 inf + 107905
471.720 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
471.720 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
471.721 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
471.721 * * [simplify]: iters left: 6 (24 enodes)
471.727 * * [simplify]: iters left: 5 (108 enodes)
471.749 * * [simplify]: iters left: 4 (307 enodes)
471.909 * * [simplify]: Extracting #0: cost 1 inf + 0
471.909 * * [simplify]: Extracting #1: cost 3 inf + 0
471.909 * * [simplify]: Extracting #2: cost 55 inf + 0
471.909 * * [simplify]: Extracting #3: cost 271 inf + 0
471.912 * * [simplify]: Extracting #4: cost 347 inf + 454
471.918 * * [simplify]: Extracting #5: cost 317 inf + 10050
471.946 * * [simplify]: Extracting #6: cost 147 inf + 81300
472.011 * * [simplify]: Extracting #7: cost 3 inf + 150045
472.048 * * [simplify]: Extracting #8: cost 0 inf + 143097
472.098 * * [simplify]: Extracting #9: cost 0 inf + 142857
472.148 * [simplify]: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (+ phi1 phi2)))
472.148 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (+ phi1 phi2))))))
472.149 * * * * [progress]: [ 621 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
472.149 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
472.150 * * [simplify]: iters left: 6 (43 enodes)
472.172 * * [simplify]: iters left: 5 (201 enodes)
472.234 * * [simplify]: Extracting #0: cost 1 inf + 0
472.234 * * [simplify]: Extracting #1: cost 3 inf + 0
472.234 * * [simplify]: Extracting #2: cost 6 inf + 0
472.234 * * [simplify]: Extracting #3: cost 50 inf + 0
472.235 * * [simplify]: Extracting #4: cost 107 inf + 0
472.235 * * [simplify]: Extracting #5: cost 146 inf + 167
472.236 * * [simplify]: Extracting #6: cost 202 inf + 1395
472.237 * * [simplify]: Extracting #7: cost 195 inf + 3305
472.239 * * [simplify]: Extracting #8: cost 150 inf + 8873
472.243 * * [simplify]: Extracting #9: cost 99 inf + 24577
472.255 * * [simplify]: Extracting #10: cost 47 inf + 46508
472.269 * * [simplify]: Extracting #11: cost 25 inf + 60539
472.284 * * [simplify]: Extracting #12: cost 3 inf + 80049
472.309 * * [simplify]: Extracting #13: cost 0 inf + 84764
472.342 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1))))))
472.342 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
472.343 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
472.343 * * [simplify]: iters left: 6 (19 enodes)
472.351 * * [simplify]: iters left: 5 (86 enodes)
472.367 * * [simplify]: iters left: 4 (237 enodes)
472.482 * * [simplify]: Extracting #0: cost 1 inf + 0
472.482 * * [simplify]: Extracting #1: cost 3 inf + 0
472.482 * * [simplify]: Extracting #2: cost 30 inf + 0
472.482 * * [simplify]: Extracting #3: cost 139 inf + 0
472.483 * * [simplify]: Extracting #4: cost 188 inf + 209
472.484 * * [simplify]: Extracting #5: cost 191 inf + 4025
472.488 * * [simplify]: Extracting #6: cost 126 inf + 24037
472.502 * * [simplify]: Extracting #7: cost 20 inf + 63672
472.522 * * [simplify]: Extracting #8: cost 0 inf + 68581
472.554 * * [simplify]: Extracting #9: cost 0 inf + 66941
472.577 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ phi1 phi2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))
472.577 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ phi1 phi2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))
472.577 * * * * [progress]: [ 622 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
472.578 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
472.578 * * [simplify]: iters left: 6 (48 enodes)
472.591 * * [simplify]: iters left: 5 (229 enodes)
472.651 * * [simplify]: Extracting #0: cost 1 inf + 0
472.651 * * [simplify]: Extracting #1: cost 3 inf + 0
472.652 * * [simplify]: Extracting #2: cost 10 inf + 0
472.652 * * [simplify]: Extracting #3: cost 70 inf + 0
472.654 * * [simplify]: Extracting #4: cost 124 inf + 42
472.655 * * [simplify]: Extracting #5: cost 170 inf + 207
472.655 * * [simplify]: Extracting #6: cost 223 inf + 2366
472.657 * * [simplify]: Extracting #7: cost 204 inf + 7208
472.660 * * [simplify]: Extracting #8: cost 128 inf + 24387
472.668 * * [simplify]: Extracting #9: cost 61 inf + 49909
472.682 * * [simplify]: Extracting #10: cost 18 inf + 83546
472.716 * * [simplify]: Extracting #11: cost 1 inf + 99070
472.737 * * [simplify]: Extracting #12: cost 0 inf + 100015
472.768 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
472.768 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
472.770 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
472.770 * * [simplify]: iters left: 6 (22 enodes)
472.781 * * [simplify]: iters left: 5 (99 enodes)
472.800 * * [simplify]: iters left: 4 (254 enodes)
472.889 * * [simplify]: Extracting #0: cost 1 inf + 0
472.889 * * [simplify]: Extracting #1: cost 3 inf + 0
472.889 * * [simplify]: Extracting #2: cost 28 inf + 0
472.890 * * [simplify]: Extracting #3: cost 108 inf + 0
472.890 * * [simplify]: Extracting #4: cost 177 inf + 454
472.891 * * [simplify]: Extracting #5: cost 201 inf + 1068
472.896 * * [simplify]: Extracting #6: cost 130 inf + 22688
472.911 * * [simplify]: Extracting #7: cost 19 inf + 68951
472.939 * * [simplify]: Extracting #8: cost 0 inf + 72696
472.966 * * [simplify]: Extracting #9: cost 0 inf + 70216
472.995 * * [simplify]: Extracting #10: cost 0 inf + 70176
473.014 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))
473.014 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
473.015 * * * * [progress]: [ 623 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
473.015 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
473.015 * * [simplify]: iters left: 6 (43 enodes)
473.027 * * [simplify]: iters left: 5 (201 enodes)
473.096 * * [simplify]: Extracting #0: cost 1 inf + 0
473.097 * * [simplify]: Extracting #1: cost 3 inf + 0
473.097 * * [simplify]: Extracting #2: cost 10 inf + 0
473.097 * * [simplify]: Extracting #3: cost 62 inf + 0
473.097 * * [simplify]: Extracting #4: cost 104 inf + 86
473.098 * * [simplify]: Extracting #5: cost 133 inf + 1147
473.100 * * [simplify]: Extracting #6: cost 193 inf + 2527
473.102 * * [simplify]: Extracting #7: cost 195 inf + 3180
473.107 * * [simplify]: Extracting #8: cost 134 inf + 15924
473.118 * * [simplify]: Extracting #9: cost 74 inf + 35189
473.140 * * [simplify]: Extracting #10: cost 22 inf + 66263
473.171 * * [simplify]: Extracting #11: cost 1 inf + 81651
473.202 * * [simplify]: Extracting #12: cost 0 inf + 82134
473.230 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))
473.230 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
473.231 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
473.231 * * [simplify]: iters left: 6 (18 enodes)
473.235 * * [simplify]: iters left: 5 (81 enodes)
473.252 * * [simplify]: iters left: 4 (197 enodes)
473.309 * * [simplify]: iters left: 3 (481 enodes)
473.479 * * [simplify]: Extracting #0: cost 1 inf + 0
473.479 * * [simplify]: Extracting #1: cost 3 inf + 0
473.479 * * [simplify]: Extracting #2: cost 35 inf + 0
473.479 * * [simplify]: Extracting #3: cost 72 inf + 0
473.480 * * [simplify]: Extracting #4: cost 111 inf + 44
473.480 * * [simplify]: Extracting #5: cost 185 inf + 86
473.483 * * [simplify]: Extracting #6: cost 128 inf + 14412
473.494 * * [simplify]: Extracting #7: cost 33 inf + 42541
473.507 * * [simplify]: Extracting #8: cost 0 inf + 53686
473.528 * * [simplify]: Extracting #9: cost 0 inf + 48846
473.552 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))
473.552 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ phi1 phi2) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))))
473.553 * * * * [progress]: [ 624 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
473.554 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
473.554 * * [simplify]: iters left: 6 (48 enodes)
473.578 * * [simplify]: iters left: 5 (229 enodes)
473.648 * * [simplify]: Extracting #0: cost 1 inf + 0
473.648 * * [simplify]: Extracting #1: cost 3 inf + 0
473.648 * * [simplify]: Extracting #2: cost 10 inf + 0
473.648 * * [simplify]: Extracting #3: cost 70 inf + 0
473.648 * * [simplify]: Extracting #4: cost 124 inf + 42
473.649 * * [simplify]: Extracting #5: cost 169 inf + 249
473.651 * * [simplify]: Extracting #6: cost 227 inf + 1800
473.653 * * [simplify]: Extracting #7: cost 208 inf + 6391
473.660 * * [simplify]: Extracting #8: cost 131 inf + 24133
473.674 * * [simplify]: Extracting #9: cost 63 inf + 49122
473.700 * * [simplify]: Extracting #10: cost 20 inf + 83660
473.727 * * [simplify]: Extracting #11: cost 1 inf + 100110
473.750 * * [simplify]: Extracting #12: cost 0 inf + 101055
473.789 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
473.789 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
473.790 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
473.791 * * [simplify]: iters left: 6 (22 enodes)
473.800 * * [simplify]: iters left: 5 (99 enodes)
473.834 * * [simplify]: iters left: 4 (254 enodes)
473.905 * * [simplify]: Extracting #0: cost 1 inf + 0
473.905 * * [simplify]: Extracting #1: cost 3 inf + 0
473.905 * * [simplify]: Extracting #2: cost 28 inf + 0
473.905 * * [simplify]: Extracting #3: cost 108 inf + 0
473.909 * * [simplify]: Extracting #4: cost 177 inf + 454
473.912 * * [simplify]: Extracting #5: cost 201 inf + 1068
473.920 * * [simplify]: Extracting #6: cost 130 inf + 22688
473.949 * * [simplify]: Extracting #7: cost 19 inf + 68951
473.975 * * [simplify]: Extracting #8: cost 0 inf + 72696
473.993 * * [simplify]: Extracting #9: cost 0 inf + 70216
474.012 * * [simplify]: Extracting #10: cost 0 inf + 70176
474.031 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))
474.031 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
474.032 * * * * [progress]: [ 625 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
474.032 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
474.032 * * [simplify]: iters left: 6 (43 enodes)
474.044 * * [simplify]: iters left: 5 (201 enodes)
474.117 * * [simplify]: Extracting #0: cost 1 inf + 0
474.117 * * [simplify]: Extracting #1: cost 3 inf + 0
474.117 * * [simplify]: Extracting #2: cost 10 inf + 0
474.117 * * [simplify]: Extracting #3: cost 61 inf + 0
474.117 * * [simplify]: Extracting #4: cost 105 inf + 44
474.118 * * [simplify]: Extracting #5: cost 134 inf + 984
474.120 * * [simplify]: Extracting #6: cost 190 inf + 2932
474.122 * * [simplify]: Extracting #7: cost 194 inf + 3262
474.127 * * [simplify]: Extracting #8: cost 135 inf + 15842
474.138 * * [simplify]: Extracting #9: cost 72 inf + 35603
474.164 * * [simplify]: Extracting #10: cost 19 inf + 67869
474.193 * * [simplify]: Extracting #11: cost 0 inf + 82534
474.224 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)))))
474.224 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
474.225 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
474.225 * * [simplify]: iters left: 6 (18 enodes)
474.233 * * [simplify]: iters left: 5 (81 enodes)
474.261 * * [simplify]: iters left: 4 (197 enodes)
474.319 * * [simplify]: iters left: 3 (481 enodes)
474.516 * * [simplify]: Extracting #0: cost 1 inf + 0
474.516 * * [simplify]: Extracting #1: cost 3 inf + 0
474.516 * * [simplify]: Extracting #2: cost 35 inf + 0
474.516 * * [simplify]: Extracting #3: cost 72 inf + 0
474.516 * * [simplify]: Extracting #4: cost 111 inf + 44
474.517 * * [simplify]: Extracting #5: cost 185 inf + 86
474.520 * * [simplify]: Extracting #6: cost 128 inf + 14412
474.530 * * [simplify]: Extracting #7: cost 33 inf + 42541
474.552 * * [simplify]: Extracting #8: cost 0 inf + 53686
474.571 * * [simplify]: Extracting #9: cost 0 inf + 48846
474.583 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))
474.584 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (+ phi1 phi2) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))))
474.584 * * * * [progress]: [ 626 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
474.585 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
474.585 * * [simplify]: iters left: 6 (48 enodes)
474.604 * * [simplify]: iters left: 5 (227 enodes)
474.681 * * [simplify]: Extracting #0: cost 1 inf + 0
474.681 * * [simplify]: Extracting #1: cost 3 inf + 0
474.681 * * [simplify]: Extracting #2: cost 6 inf + 0
474.682 * * [simplify]: Extracting #3: cost 52 inf + 0
474.682 * * [simplify]: Extracting #4: cost 118 inf + 0
474.683 * * [simplify]: Extracting #5: cost 186 inf + 0
474.684 * * [simplify]: Extracting #6: cost 252 inf + 807
474.688 * * [simplify]: Extracting #7: cost 182 inf + 16608
474.694 * * [simplify]: Extracting #8: cost 135 inf + 23412
474.703 * * [simplify]: Extracting #9: cost 90 inf + 38311
474.712 * * [simplify]: Extracting #10: cost 52 inf + 54802
474.724 * * [simplify]: Extracting #11: cost 31 inf + 70306
474.745 * * [simplify]: Extracting #12: cost 0 inf + 104121
474.768 * * [simplify]: Extracting #13: cost 0 inf + 103841
474.809 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))
474.809 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
474.810 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
474.810 * * [simplify]: iters left: 6 (23 enodes)
474.822 * * [simplify]: iters left: 5 (104 enodes)
474.860 * * [simplify]: iters left: 4 (312 enodes)
475.058 * * [simplify]: Extracting #0: cost 1 inf + 0
475.058 * * [simplify]: Extracting #1: cost 3 inf + 0
475.058 * * [simplify]: Extracting #2: cost 37 inf + 0
475.059 * * [simplify]: Extracting #3: cost 278 inf + 0
475.060 * * [simplify]: Extracting #4: cost 432 inf + 248
475.069 * * [simplify]: Extracting #5: cost 353 inf + 23396
475.103 * * [simplify]: Extracting #6: cost 137 inf + 108746
475.169 * * [simplify]: Extracting #7: cost 2 inf + 172186
475.226 * * [simplify]: Extracting #8: cost 0 inf + 173234
475.269 * * [simplify]: Extracting #9: cost 0 inf + 173154
475.324 * [simplify]: Simplified to (sqrt (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))
475.324 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))))))
475.325 * * * * [progress]: [ 627 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
475.325 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
475.325 * * [simplify]: iters left: 6 (49 enodes)
475.338 * * [simplify]: iters left: 5 (236 enodes)
475.403 * * [simplify]: Extracting #0: cost 1 inf + 0
475.403 * * [simplify]: Extracting #1: cost 3 inf + 0
475.403 * * [simplify]: Extracting #2: cost 6 inf + 0
475.403 * * [simplify]: Extracting #3: cost 56 inf + 0
475.403 * * [simplify]: Extracting #4: cost 141 inf + 0
475.403 * * [simplify]: Extracting #5: cost 199 inf + 85
475.405 * * [simplify]: Extracting #6: cost 229 inf + 4886
475.407 * * [simplify]: Extracting #7: cost 187 inf + 13547
475.412 * * [simplify]: Extracting #8: cost 121 inf + 29443
475.420 * * [simplify]: Extracting #9: cost 68 inf + 49381
475.446 * * [simplify]: Extracting #10: cost 33 inf + 72193
475.469 * * [simplify]: Extracting #11: cost 5 inf + 102853
475.493 * * [simplify]: Extracting #12: cost 0 inf + 110018
475.522 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))))))
475.522 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
475.523 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
475.523 * * [simplify]: iters left: 6 (24 enodes)
475.529 * * [simplify]: iters left: 5 (108 enodes)
475.560 * * [simplify]: iters left: 4 (309 enodes)
475.751 * * [simplify]: Extracting #0: cost 1 inf + 0
475.752 * * [simplify]: Extracting #1: cost 3 inf + 0
475.752 * * [simplify]: Extracting #2: cost 61 inf + 0
475.753 * * [simplify]: Extracting #3: cost 291 inf + 0
475.756 * * [simplify]: Extracting #4: cost 376 inf + 208
475.765 * * [simplify]: Extracting #5: cost 319 inf + 16824
475.799 * * [simplify]: Extracting #6: cost 133 inf + 87915
475.834 * * [simplify]: Extracting #7: cost 3 inf + 150800
475.873 * * [simplify]: Extracting #8: cost 0 inf + 152008
475.941 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
475.941 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))))
475.942 * * * * [progress]: [ 628 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
475.943 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
475.943 * * [simplify]: iters left: 6 (49 enodes)
475.962 * * [simplify]: iters left: 5 (236 enodes)
476.043 * * [simplify]: Extracting #0: cost 1 inf + 0
476.043 * * [simplify]: Extracting #1: cost 3 inf + 0
476.043 * * [simplify]: Extracting #2: cost 6 inf + 0
476.043 * * [simplify]: Extracting #3: cost 58 inf + 0
476.043 * * [simplify]: Extracting #4: cost 139 inf + 0
476.044 * * [simplify]: Extracting #5: cost 194 inf + 166
476.047 * * [simplify]: Extracting #6: cost 222 inf + 5771
476.052 * * [simplify]: Extracting #7: cost 186 inf + 13614
476.061 * * [simplify]: Extracting #8: cost 120 inf + 27746
476.077 * * [simplify]: Extracting #9: cost 61 inf + 52123
476.099 * * [simplify]: Extracting #10: cost 33 inf + 69945
476.121 * * [simplify]: Extracting #11: cost 3 inf + 101375
476.150 * * [simplify]: Extracting #12: cost 0 inf + 105490
476.177 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))))))
476.177 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
476.178 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
476.178 * * [simplify]: iters left: 6 (24 enodes)
476.184 * * [simplify]: iters left: 5 (108 enodes)
476.218 * * [simplify]: iters left: 4 (307 enodes)
476.364 * * [simplify]: Extracting #0: cost 1 inf + 0
476.364 * * [simplify]: Extracting #1: cost 3 inf + 0
476.364 * * [simplify]: Extracting #2: cost 55 inf + 0
476.365 * * [simplify]: Extracting #3: cost 271 inf + 0
476.366 * * [simplify]: Extracting #4: cost 343 inf + 454
476.373 * * [simplify]: Extracting #5: cost 285 inf + 15983
476.399 * * [simplify]: Extracting #6: cost 140 inf + 70935
476.429 * * [simplify]: Extracting #7: cost 3 inf + 133725
476.465 * * [simplify]: Extracting #8: cost 0 inf + 135657
476.509 * [simplify]: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ lambda1 lambda2)))) (+ phi1 phi2)))
476.509 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ lambda1 lambda2)))) (+ phi1 phi2))))))
476.510 * * * * [progress]: [ 629 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
476.510 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
476.511 * * [simplify]: iters left: 6 (43 enodes)
476.522 * * [simplify]: iters left: 5 (200 enodes)
476.581 * * [simplify]: Extracting #0: cost 1 inf + 0
476.581 * * [simplify]: Extracting #1: cost 3 inf + 0
476.581 * * [simplify]: Extracting #2: cost 6 inf + 0
476.581 * * [simplify]: Extracting #3: cost 50 inf + 0
476.581 * * [simplify]: Extracting #4: cost 107 inf + 0
476.582 * * [simplify]: Extracting #5: cost 143 inf + 126
476.583 * * [simplify]: Extracting #6: cost 196 inf + 1517
476.584 * * [simplify]: Extracting #7: cost 166 inf + 6646
476.590 * * [simplify]: Extracting #8: cost 104 inf + 25166
476.609 * * [simplify]: Extracting #9: cost 49 inf + 46091
476.630 * * [simplify]: Extracting #10: cost 13 inf + 71343
476.645 * * [simplify]: Extracting #11: cost 0 inf + 82629
476.670 * * [simplify]: Extracting #12: cost 0 inf + 82589
476.702 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1)))))))
476.702 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
476.704 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))
476.704 * * [simplify]: iters left: 6 (19 enodes)
476.713 * * [simplify]: iters left: 5 (86 enodes)
476.746 * * [simplify]: iters left: 4 (237 enodes)
476.846 * * [simplify]: Extracting #0: cost 1 inf + 0
476.846 * * [simplify]: Extracting #1: cost 3 inf + 0
476.846 * * [simplify]: Extracting #2: cost 30 inf + 0
476.846 * * [simplify]: Extracting #3: cost 139 inf + 0
476.847 * * [simplify]: Extracting #4: cost 184 inf + 209
476.848 * * [simplify]: Extracting #5: cost 172 inf + 6024
476.852 * * [simplify]: Extracting #6: cost 111 inf + 23811
476.865 * * [simplify]: Extracting #7: cost 15 inf + 57892
476.882 * * [simplify]: Extracting #8: cost 0 inf + 64101
476.897 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))))
476.897 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2)))))))
476.897 * * * * [progress]: [ 630 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
476.898 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
476.898 * * [simplify]: iters left: 6 (48 enodes)
476.910 * * [simplify]: iters left: 5 (228 enodes)
476.999 * * [simplify]: Extracting #0: cost 1 inf + 0
476.999 * * [simplify]: Extracting #1: cost 3 inf + 0
476.999 * * [simplify]: Extracting #2: cost 10 inf + 0
476.999 * * [simplify]: Extracting #3: cost 70 inf + 0
477.000 * * [simplify]: Extracting #4: cost 124 inf + 42
477.001 * * [simplify]: Extracting #5: cost 166 inf + 207
477.002 * * [simplify]: Extracting #6: cost 223 inf + 1598
477.004 * * [simplify]: Extracting #7: cost 195 inf + 7622
477.010 * * [simplify]: Extracting #8: cost 121 inf + 23968
477.024 * * [simplify]: Extracting #9: cost 53 inf + 53451
477.052 * * [simplify]: Extracting #10: cost 5 inf + 95075
477.091 * * [simplify]: Extracting #11: cost 0 inf + 100920
477.114 * * [simplify]: Extracting #12: cost 0 inf + 100880
477.139 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
477.139 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
477.140 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
477.140 * * [simplify]: iters left: 6 (22 enodes)
477.151 * * [simplify]: iters left: 5 (99 enodes)
477.170 * * [simplify]: iters left: 4 (254 enodes)
477.288 * * [simplify]: Extracting #0: cost 1 inf + 0
477.289 * * [simplify]: Extracting #1: cost 3 inf + 0
477.289 * * [simplify]: Extracting #2: cost 28 inf + 0
477.289 * * [simplify]: Extracting #3: cost 108 inf + 0
477.290 * * [simplify]: Extracting #4: cost 173 inf + 454
477.292 * * [simplify]: Extracting #5: cost 192 inf + 1112
477.303 * * [simplify]: Extracting #6: cost 130 inf + 18528
477.327 * * [simplify]: Extracting #7: cost 19 inf + 58751
477.359 * * [simplify]: Extracting #8: cost 0 inf + 67496
477.391 * * [simplify]: Extracting #9: cost 0 inf + 67456
477.411 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))
477.411 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
477.412 * * * * [progress]: [ 631 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
477.412 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
477.413 * * [simplify]: iters left: 6 (43 enodes)
477.424 * * [simplify]: iters left: 5 (200 enodes)
477.478 * * [simplify]: Extracting #0: cost 1 inf + 0
477.478 * * [simplify]: Extracting #1: cost 3 inf + 0
477.478 * * [simplify]: Extracting #2: cost 10 inf + 0
477.478 * * [simplify]: Extracting #3: cost 62 inf + 0
477.478 * * [simplify]: Extracting #4: cost 104 inf + 86
477.479 * * [simplify]: Extracting #5: cost 126 inf + 1633
477.480 * * [simplify]: Extracting #6: cost 183 inf + 2976
477.481 * * [simplify]: Extracting #7: cost 175 inf + 5382
477.484 * * [simplify]: Extracting #8: cost 112 inf + 18612
477.495 * * [simplify]: Extracting #9: cost 55 inf + 42820
477.521 * * [simplify]: Extracting #10: cost 8 inf + 72474
477.550 * * [simplify]: Extracting #11: cost 1 inf + 78414
477.585 * * [simplify]: Extracting #12: cost 0 inf + 79959
477.609 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1)))))
477.609 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
477.610 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
477.610 * * [simplify]: iters left: 6 (18 enodes)
477.614 * * [simplify]: iters left: 5 (81 enodes)
477.628 * * [simplify]: iters left: 4 (197 enodes)
477.686 * * [simplify]: iters left: 3 (481 enodes)
477.868 * * [simplify]: Extracting #0: cost 1 inf + 0
477.868 * * [simplify]: Extracting #1: cost 3 inf + 0
477.868 * * [simplify]: Extracting #2: cost 35 inf + 0
477.868 * * [simplify]: Extracting #3: cost 72 inf + 0
477.869 * * [simplify]: Extracting #4: cost 107 inf + 44
477.869 * * [simplify]: Extracting #5: cost 176 inf + 130
477.871 * * [simplify]: Extracting #6: cost 155 inf + 3348
477.875 * * [simplify]: Extracting #7: cost 66 inf + 24252
477.886 * * [simplify]: Extracting #8: cost 6 inf + 42749
477.904 * * [simplify]: Extracting #9: cost 0 inf + 45046
477.922 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
477.922 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))))
477.923 * * * * [progress]: [ 632 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
477.923 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
477.923 * * [simplify]: iters left: 6 (48 enodes)
477.940 * * [simplify]: iters left: 5 (228 enodes)
478.002 * * [simplify]: Extracting #0: cost 1 inf + 0
478.002 * * [simplify]: Extracting #1: cost 3 inf + 0
478.002 * * [simplify]: Extracting #2: cost 10 inf + 0
478.002 * * [simplify]: Extracting #3: cost 70 inf + 0
478.003 * * [simplify]: Extracting #4: cost 124 inf + 42
478.003 * * [simplify]: Extracting #5: cost 164 inf + 290
478.004 * * [simplify]: Extracting #6: cost 219 inf + 2245
478.006 * * [simplify]: Extracting #7: cost 177 inf + 12601
478.010 * * [simplify]: Extracting #8: cost 116 inf + 25398
478.021 * * [simplify]: Extracting #9: cost 47 inf + 58355
478.042 * * [simplify]: Extracting #10: cost 5 inf + 95795
478.065 * * [simplify]: Extracting #11: cost 0 inf + 101880
478.103 * * [simplify]: Extracting #12: cost 0 inf + 101840
478.128 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
478.128 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
478.129 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
478.129 * * [simplify]: iters left: 6 (22 enodes)
478.134 * * [simplify]: iters left: 5 (99 enodes)
478.161 * * [simplify]: iters left: 4 (254 enodes)
478.244 * * [simplify]: Extracting #0: cost 1 inf + 0
478.244 * * [simplify]: Extracting #1: cost 3 inf + 0
478.244 * * [simplify]: Extracting #2: cost 28 inf + 0
478.244 * * [simplify]: Extracting #3: cost 108 inf + 0
478.245 * * [simplify]: Extracting #4: cost 173 inf + 454
478.246 * * [simplify]: Extracting #5: cost 192 inf + 1112
478.249 * * [simplify]: Extracting #6: cost 130 inf + 18528
478.273 * * [simplify]: Extracting #7: cost 19 inf + 58751
478.292 * * [simplify]: Extracting #8: cost 0 inf + 67496
478.309 * * [simplify]: Extracting #9: cost 0 inf + 67456
478.333 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))
478.334 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
478.334 * * * * [progress]: [ 633 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
478.334 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
478.335 * * [simplify]: iters left: 6 (43 enodes)
478.346 * * [simplify]: iters left: 5 (200 enodes)
478.409 * * [simplify]: Extracting #0: cost 1 inf + 0
478.409 * * [simplify]: Extracting #1: cost 3 inf + 0
478.409 * * [simplify]: Extracting #2: cost 10 inf + 0
478.410 * * [simplify]: Extracting #3: cost 61 inf + 0
478.410 * * [simplify]: Extracting #4: cost 105 inf + 44
478.411 * * [simplify]: Extracting #5: cost 128 inf + 1268
478.413 * * [simplify]: Extracting #6: cost 183 inf + 2976
478.415 * * [simplify]: Extracting #7: cost 174 inf + 5464
478.421 * * [simplify]: Extracting #8: cost 110 inf + 19825
478.434 * * [simplify]: Extracting #9: cost 56 inf + 42216
478.462 * * [simplify]: Extracting #10: cost 12 inf + 70318
478.494 * * [simplify]: Extracting #11: cost 0 inf + 80399
478.522 * * [simplify]: Extracting #12: cost 0 inf + 80359
478.539 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1)))))
478.539 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
478.539 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
478.540 * * [simplify]: iters left: 6 (18 enodes)
478.544 * * [simplify]: iters left: 5 (81 enodes)
478.564 * * [simplify]: iters left: 4 (197 enodes)
478.622 * * [simplify]: iters left: 3 (481 enodes)
478.825 * * [simplify]: Extracting #0: cost 1 inf + 0
478.825 * * [simplify]: Extracting #1: cost 3 inf + 0
478.825 * * [simplify]: Extracting #2: cost 35 inf + 0
478.825 * * [simplify]: Extracting #3: cost 72 inf + 0
478.826 * * [simplify]: Extracting #4: cost 107 inf + 44
478.826 * * [simplify]: Extracting #5: cost 176 inf + 130
478.827 * * [simplify]: Extracting #6: cost 155 inf + 3348
478.832 * * [simplify]: Extracting #7: cost 66 inf + 24252
478.850 * * [simplify]: Extracting #8: cost 6 inf + 42749
478.873 * * [simplify]: Extracting #9: cost 0 inf + 45046
478.896 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
478.896 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))))
478.897 * * * * [progress]: [ 634 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
478.898 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
478.898 * * [simplify]: iters left: 6 (48 enodes)
478.924 * * [simplify]: iters left: 5 (228 enodes)
479.000 * * [simplify]: Extracting #0: cost 1 inf + 0
479.000 * * [simplify]: Extracting #1: cost 3 inf + 0
479.000 * * [simplify]: Extracting #2: cost 6 inf + 0
479.000 * * [simplify]: Extracting #3: cost 52 inf + 0
479.000 * * [simplify]: Extracting #4: cost 118 inf + 0
479.001 * * [simplify]: Extracting #5: cost 190 inf + 0
479.003 * * [simplify]: Extracting #6: cost 255 inf + 2444
479.005 * * [simplify]: Extracting #7: cost 221 inf + 9063
479.013 * * [simplify]: Extracting #8: cost 131 inf + 25757
479.026 * * [simplify]: Extracting #9: cost 73 inf + 44833
479.053 * * [simplify]: Extracting #10: cost 25 inf + 82868
479.092 * * [simplify]: Extracting #11: cost 1 inf + 105812
479.130 * * [simplify]: Extracting #12: cost 0 inf + 106496
479.153 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))
479.154 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
479.154 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
479.155 * * [simplify]: iters left: 6 (23 enodes)
479.160 * * [simplify]: iters left: 5 (104 enodes)
479.189 * * [simplify]: iters left: 4 (312 enodes)
479.389 * * [simplify]: Extracting #0: cost 1 inf + 0
479.390 * * [simplify]: Extracting #1: cost 3 inf + 0
479.390 * * [simplify]: Extracting #2: cost 37 inf + 0
479.390 * * [simplify]: Extracting #3: cost 278 inf + 0
479.392 * * [simplify]: Extracting #4: cost 436 inf + 248
479.397 * * [simplify]: Extracting #5: cost 397 inf + 12104
479.431 * * [simplify]: Extracting #6: cost 159 inf + 116423
479.485 * * [simplify]: Extracting #7: cost 4 inf + 188702
479.543 * * [simplify]: Extracting #8: cost 0 inf + 181274
479.600 * * [simplify]: Extracting #9: cost 0 inf + 181034
479.664 * * [simplify]: Extracting #10: cost 0 inf + 180954
479.723 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))
479.723 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))))))
479.724 * * * * [progress]: [ 635 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
479.724 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
479.725 * * [simplify]: iters left: 6 (49 enodes)
479.747 * * [simplify]: iters left: 5 (237 enodes)
479.839 * * [simplify]: Extracting #0: cost 1 inf + 0
479.840 * * [simplify]: Extracting #1: cost 3 inf + 0
479.840 * * [simplify]: Extracting #2: cost 6 inf + 0
479.840 * * [simplify]: Extracting #3: cost 56 inf + 0
479.840 * * [simplify]: Extracting #4: cost 141 inf + 0
479.841 * * [simplify]: Extracting #5: cost 201 inf + 249
479.843 * * [simplify]: Extracting #6: cost 240 inf + 3915
479.847 * * [simplify]: Extracting #7: cost 207 inf + 11955
479.853 * * [simplify]: Extracting #8: cost 156 inf + 19236
479.862 * * [simplify]: Extracting #9: cost 113 inf + 32452
479.877 * * [simplify]: Extracting #10: cost 62 inf + 55443
479.892 * * [simplify]: Extracting #11: cost 34 inf + 74604
479.912 * * [simplify]: Extracting #12: cost 3 inf + 105318
479.936 * * [simplify]: Extracting #13: cost 0 inf + 109233
479.962 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
479.962 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
479.963 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
479.963 * * [simplify]: iters left: 6 (24 enodes)
479.974 * * [simplify]: iters left: 5 (108 enodes)
479.999 * * [simplify]: iters left: 4 (309 enodes)
480.158 * * [simplify]: Extracting #0: cost 1 inf + 0
480.158 * * [simplify]: Extracting #1: cost 3 inf + 0
480.158 * * [simplify]: Extracting #2: cost 61 inf + 0
480.159 * * [simplify]: Extracting #3: cost 291 inf + 0
480.160 * * [simplify]: Extracting #4: cost 380 inf + 208
480.163 * * [simplify]: Extracting #5: cost 359 inf + 8625
480.193 * * [simplify]: Extracting #6: cost 171 inf + 88690
480.265 * * [simplify]: Extracting #7: cost 6 inf + 166988
480.318 * * [simplify]: Extracting #8: cost 0 inf + 160128
480.396 * * [simplify]: Extracting #9: cost 0 inf + 159808
480.447 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))))
480.447 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)))))))
480.447 * * * * [progress]: [ 636 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
480.448 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
480.448 * * [simplify]: iters left: 6 (49 enodes)
480.467 * * [simplify]: iters left: 5 (237 enodes)
480.541 * * [simplify]: Extracting #0: cost 1 inf + 0
480.541 * * [simplify]: Extracting #1: cost 3 inf + 0
480.541 * * [simplify]: Extracting #2: cost 6 inf + 0
480.541 * * [simplify]: Extracting #3: cost 58 inf + 0
480.541 * * [simplify]: Extracting #4: cost 139 inf + 0
480.542 * * [simplify]: Extracting #5: cost 198 inf + 127
480.545 * * [simplify]: Extracting #6: cost 232 inf + 5403
480.550 * * [simplify]: Extracting #7: cost 201 inf + 11946
480.556 * * [simplify]: Extracting #8: cost 155 inf + 19831
480.566 * * [simplify]: Extracting #9: cost 106 inf + 33440
480.583 * * [simplify]: Extracting #10: cost 59 inf + 54913
480.605 * * [simplify]: Extracting #11: cost 7 inf + 99410
480.641 * * [simplify]: Extracting #12: cost 0 inf + 106905
480.663 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
480.663 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
480.664 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
480.664 * * [simplify]: iters left: 6 (24 enodes)
480.673 * * [simplify]: iters left: 5 (108 enodes)
480.715 * * [simplify]: iters left: 4 (307 enodes)
480.895 * * [simplify]: Extracting #0: cost 1 inf + 0
480.895 * * [simplify]: Extracting #1: cost 3 inf + 0
480.895 * * [simplify]: Extracting #2: cost 55 inf + 0
480.896 * * [simplify]: Extracting #3: cost 271 inf + 0
480.899 * * [simplify]: Extracting #4: cost 347 inf + 454
480.905 * * [simplify]: Extracting #5: cost 317 inf + 10050
480.932 * * [simplify]: Extracting #6: cost 147 inf + 81300
480.971 * * [simplify]: Extracting #7: cost 3 inf + 150045
481.017 * * [simplify]: Extracting #8: cost 0 inf + 143097
481.066 * * [simplify]: Extracting #9: cost 0 inf + 142857
481.119 * [simplify]: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (+ phi1 phi2)))
481.119 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (+ phi1 phi2))))))
481.120 * * * * [progress]: [ 637 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
481.120 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
481.120 * * [simplify]: iters left: 6 (43 enodes)
481.132 * * [simplify]: iters left: 5 (201 enodes)
481.194 * * [simplify]: Extracting #0: cost 1 inf + 0
481.194 * * [simplify]: Extracting #1: cost 3 inf + 0
481.194 * * [simplify]: Extracting #2: cost 6 inf + 0
481.194 * * [simplify]: Extracting #3: cost 50 inf + 0
481.194 * * [simplify]: Extracting #4: cost 107 inf + 0
481.194 * * [simplify]: Extracting #5: cost 147 inf + 126
481.195 * * [simplify]: Extracting #6: cost 201 inf + 1718
481.196 * * [simplify]: Extracting #7: cost 195 inf + 3305
481.198 * * [simplify]: Extracting #8: cost 150 inf + 8873
481.202 * * [simplify]: Extracting #9: cost 100 inf + 24333
481.210 * * [simplify]: Extracting #10: cost 49 inf + 46018
481.220 * * [simplify]: Extracting #11: cost 25 inf + 60859
481.238 * * [simplify]: Extracting #12: cost 3 inf + 80369
481.256 * * [simplify]: Extracting #13: cost 1 inf + 83499
481.288 * * [simplify]: Extracting #14: cost 0 inf + 85084
481.306 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1))))))
481.306 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
481.307 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
481.307 * * [simplify]: iters left: 6 (19 enodes)
481.311 * * [simplify]: iters left: 5 (86 enodes)
481.327 * * [simplify]: iters left: 4 (237 enodes)
481.457 * * [simplify]: Extracting #0: cost 1 inf + 0
481.457 * * [simplify]: Extracting #1: cost 3 inf + 0
481.457 * * [simplify]: Extracting #2: cost 30 inf + 0
481.458 * * [simplify]: Extracting #3: cost 139 inf + 0
481.459 * * [simplify]: Extracting #4: cost 188 inf + 209
481.462 * * [simplify]: Extracting #5: cost 191 inf + 4025
481.468 * * [simplify]: Extracting #6: cost 126 inf + 24037
481.482 * * [simplify]: Extracting #7: cost 20 inf + 63672
481.510 * * [simplify]: Extracting #8: cost 0 inf + 68581
481.542 * * [simplify]: Extracting #9: cost 0 inf + 66941
481.576 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ phi1 phi2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))
481.576 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ phi1 phi2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))
481.577 * * * * [progress]: [ 638 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
481.577 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
481.578 * * [simplify]: iters left: 6 (48 enodes)
481.592 * * [simplify]: iters left: 5 (229 enodes)
481.666 * * [simplify]: Extracting #0: cost 1 inf + 0
481.666 * * [simplify]: Extracting #1: cost 3 inf + 0
481.666 * * [simplify]: Extracting #2: cost 10 inf + 0
481.666 * * [simplify]: Extracting #3: cost 70 inf + 0
481.667 * * [simplify]: Extracting #4: cost 124 inf + 42
481.667 * * [simplify]: Extracting #5: cost 170 inf + 207
481.669 * * [simplify]: Extracting #6: cost 223 inf + 2366
481.672 * * [simplify]: Extracting #7: cost 204 inf + 7208
481.678 * * [simplify]: Extracting #8: cost 129 inf + 24031
481.693 * * [simplify]: Extracting #9: cost 61 inf + 50229
481.719 * * [simplify]: Extracting #10: cost 18 inf + 84466
481.749 * * [simplify]: Extracting #11: cost 1 inf + 100470
481.773 * * [simplify]: Extracting #12: cost 0 inf + 101455
481.805 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
481.806 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
481.806 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
481.806 * * [simplify]: iters left: 6 (22 enodes)
481.811 * * [simplify]: iters left: 5 (99 enodes)
481.830 * * [simplify]: iters left: 4 (254 enodes)
481.959 * * [simplify]: Extracting #0: cost 1 inf + 0
481.959 * * [simplify]: Extracting #1: cost 3 inf + 0
481.960 * * [simplify]: Extracting #2: cost 28 inf + 0
481.960 * * [simplify]: Extracting #3: cost 108 inf + 0
481.961 * * [simplify]: Extracting #4: cost 177 inf + 454
481.963 * * [simplify]: Extracting #5: cost 201 inf + 1068
481.972 * * [simplify]: Extracting #6: cost 130 inf + 22688
482.000 * * [simplify]: Extracting #7: cost 19 inf + 68951
482.023 * * [simplify]: Extracting #8: cost 0 inf + 72696
482.042 * * [simplify]: Extracting #9: cost 0 inf + 70216
482.074 * * [simplify]: Extracting #10: cost 0 inf + 70176
482.109 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))
482.109 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
482.110 * * * * [progress]: [ 639 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
482.111 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
482.111 * * [simplify]: iters left: 6 (43 enodes)
482.131 * * [simplify]: iters left: 5 (201 enodes)
482.209 * * [simplify]: Extracting #0: cost 1 inf + 0
482.209 * * [simplify]: Extracting #1: cost 3 inf + 0
482.209 * * [simplify]: Extracting #2: cost 10 inf + 0
482.209 * * [simplify]: Extracting #3: cost 62 inf + 0
482.210 * * [simplify]: Extracting #4: cost 104 inf + 86
482.210 * * [simplify]: Extracting #5: cost 133 inf + 1147
482.211 * * [simplify]: Extracting #6: cost 193 inf + 2527
482.212 * * [simplify]: Extracting #7: cost 195 inf + 3180
482.214 * * [simplify]: Extracting #8: cost 133 inf + 16526
482.220 * * [simplify]: Extracting #9: cost 73 inf + 35631
482.233 * * [simplify]: Extracting #10: cost 22 inf + 65543
482.259 * * [simplify]: Extracting #11: cost 2 inf + 78866
482.295 * * [simplify]: Extracting #12: cost 0 inf + 80854
482.313 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2)))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1)))))
482.313 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2)))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
482.314 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
482.314 * * [simplify]: iters left: 6 (18 enodes)
482.318 * * [simplify]: iters left: 5 (81 enodes)
482.333 * * [simplify]: iters left: 4 (197 enodes)
482.401 * * [simplify]: iters left: 3 (481 enodes)
482.644 * * [simplify]: Extracting #0: cost 1 inf + 0
482.644 * * [simplify]: Extracting #1: cost 3 inf + 0
482.644 * * [simplify]: Extracting #2: cost 35 inf + 0
482.644 * * [simplify]: Extracting #3: cost 72 inf + 0
482.645 * * [simplify]: Extracting #4: cost 111 inf + 44
482.646 * * [simplify]: Extracting #5: cost 185 inf + 86
482.651 * * [simplify]: Extracting #6: cost 128 inf + 14412
482.668 * * [simplify]: Extracting #7: cost 33 inf + 42541
482.691 * * [simplify]: Extracting #8: cost 0 inf + 53686
482.714 * * [simplify]: Extracting #9: cost 0 inf + 48846
482.742 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))
482.742 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- phi1 phi2)))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1))))) (sqrt (* (+ phi1 phi2) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))))
482.743 * * * * [progress]: [ 640 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
482.743 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
482.744 * * [simplify]: iters left: 6 (48 enodes)
482.764 * * [simplify]: iters left: 5 (229 enodes)
482.827 * * [simplify]: Extracting #0: cost 1 inf + 0
482.827 * * [simplify]: Extracting #1: cost 3 inf + 0
482.827 * * [simplify]: Extracting #2: cost 10 inf + 0
482.827 * * [simplify]: Extracting #3: cost 70 inf + 0
482.828 * * [simplify]: Extracting #4: cost 124 inf + 42
482.828 * * [simplify]: Extracting #5: cost 169 inf + 249
482.830 * * [simplify]: Extracting #6: cost 227 inf + 1800
482.833 * * [simplify]: Extracting #7: cost 208 inf + 6391
482.842 * * [simplify]: Extracting #8: cost 132 inf + 23777
482.855 * * [simplify]: Extracting #9: cost 63 inf + 49442
482.873 * * [simplify]: Extracting #10: cost 20 inf + 84580
482.897 * * [simplify]: Extracting #11: cost 1 inf + 101510
482.934 * * [simplify]: Extracting #12: cost 0 inf + 102495
482.963 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
482.963 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
482.964 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
482.964 * * [simplify]: iters left: 6 (22 enodes)
482.969 * * [simplify]: iters left: 5 (99 enodes)
482.993 * * [simplify]: iters left: 4 (254 enodes)
483.079 * * [simplify]: Extracting #0: cost 1 inf + 0
483.079 * * [simplify]: Extracting #1: cost 3 inf + 0
483.079 * * [simplify]: Extracting #2: cost 28 inf + 0
483.079 * * [simplify]: Extracting #3: cost 108 inf + 0
483.080 * * [simplify]: Extracting #4: cost 177 inf + 454
483.081 * * [simplify]: Extracting #5: cost 201 inf + 1068
483.088 * * [simplify]: Extracting #6: cost 130 inf + 22688
483.118 * * [simplify]: Extracting #7: cost 19 inf + 68951
483.139 * * [simplify]: Extracting #8: cost 0 inf + 72696
483.161 * * [simplify]: Extracting #9: cost 0 inf + 70216
483.199 * * [simplify]: Extracting #10: cost 0 inf + 70176
483.232 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))
483.232 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
483.233 * * * * [progress]: [ 641 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
483.233 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
483.233 * * [simplify]: iters left: 6 (43 enodes)
483.244 * * [simplify]: iters left: 5 (201 enodes)
483.288 * * [simplify]: Extracting #0: cost 1 inf + 0
483.288 * * [simplify]: Extracting #1: cost 3 inf + 0
483.288 * * [simplify]: Extracting #2: cost 10 inf + 0
483.288 * * [simplify]: Extracting #3: cost 61 inf + 0
483.288 * * [simplify]: Extracting #4: cost 105 inf + 44
483.289 * * [simplify]: Extracting #5: cost 132 inf + 1308
483.290 * * [simplify]: Extracting #6: cost 190 inf + 2932
483.291 * * [simplify]: Extracting #7: cost 194 inf + 3262
483.294 * * [simplify]: Extracting #8: cost 134 inf + 16587
483.300 * * [simplify]: Extracting #9: cost 71 inf + 35975
483.315 * * [simplify]: Extracting #10: cost 18 inf + 67633
483.346 * * [simplify]: Extracting #11: cost 0 inf + 81254
483.379 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1)))))
483.379 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
483.380 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
483.380 * * [simplify]: iters left: 6 (18 enodes)
483.389 * * [simplify]: iters left: 5 (81 enodes)
483.419 * * [simplify]: iters left: 4 (197 enodes)
483.511 * * [simplify]: iters left: 3 (481 enodes)
483.708 * * [simplify]: Extracting #0: cost 1 inf + 0
483.708 * * [simplify]: Extracting #1: cost 3 inf + 0
483.708 * * [simplify]: Extracting #2: cost 35 inf + 0
483.708 * * [simplify]: Extracting #3: cost 72 inf + 0
483.709 * * [simplify]: Extracting #4: cost 111 inf + 44
483.710 * * [simplify]: Extracting #5: cost 185 inf + 86
483.716 * * [simplify]: Extracting #6: cost 128 inf + 14412
483.738 * * [simplify]: Extracting #7: cost 33 inf + 42541
483.753 * * [simplify]: Extracting #8: cost 0 inf + 53686
483.765 * * [simplify]: Extracting #9: cost 0 inf + 48846
483.786 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))
483.786 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1))))) (sqrt (* (+ phi1 phi2) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))))
483.786 * * * * [progress]: [ 642 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
483.787 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
483.787 * * [simplify]: iters left: 6 (48 enodes)
483.801 * * [simplify]: iters left: 5 (228 enodes)
483.882 * * [simplify]: Extracting #0: cost 1 inf + 0
483.882 * * [simplify]: Extracting #1: cost 3 inf + 0
483.882 * * [simplify]: Extracting #2: cost 6 inf + 0
483.882 * * [simplify]: Extracting #3: cost 52 inf + 0
483.882 * * [simplify]: Extracting #4: cost 118 inf + 0
483.883 * * [simplify]: Extracting #5: cost 186 inf + 0
483.885 * * [simplify]: Extracting #6: cost 249 inf + 2276
483.889 * * [simplify]: Extracting #7: cost 202 inf + 11356
483.898 * * [simplify]: Extracting #8: cost 115 inf + 30341
483.912 * * [simplify]: Extracting #9: cost 58 inf + 51790
483.928 * * [simplify]: Extracting #10: cost 11 inf + 93926
483.958 * * [simplify]: Extracting #11: cost 0 inf + 106441
483.992 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))
483.992 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
483.993 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
483.993 * * [simplify]: iters left: 6 (23 enodes)
483.998 * * [simplify]: iters left: 5 (104 enodes)
484.026 * * [simplify]: iters left: 4 (312 enodes)
484.288 * * [simplify]: Extracting #0: cost 1 inf + 0
484.288 * * [simplify]: Extracting #1: cost 3 inf + 0
484.288 * * [simplify]: Extracting #2: cost 37 inf + 0
484.289 * * [simplify]: Extracting #3: cost 278 inf + 0
484.293 * * [simplify]: Extracting #4: cost 432 inf + 248
484.303 * * [simplify]: Extracting #5: cost 353 inf + 23396
484.352 * * [simplify]: Extracting #6: cost 137 inf + 108746
484.398 * * [simplify]: Extracting #7: cost 2 inf + 172186
484.455 * * [simplify]: Extracting #8: cost 0 inf + 173234
484.497 * * [simplify]: Extracting #9: cost 0 inf + 173154
484.545 * [simplify]: Simplified to (sqrt (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))
484.545 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))))))
484.546 * * * * [progress]: [ 643 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
484.546 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
484.546 * * [simplify]: iters left: 6 (49 enodes)
484.560 * * [simplify]: iters left: 5 (237 enodes)
484.643 * * [simplify]: Extracting #0: cost 1 inf + 0
484.643 * * [simplify]: Extracting #1: cost 3 inf + 0
484.643 * * [simplify]: Extracting #2: cost 6 inf + 0
484.643 * * [simplify]: Extracting #3: cost 56 inf + 0
484.644 * * [simplify]: Extracting #4: cost 141 inf + 0
484.645 * * [simplify]: Extracting #5: cost 197 inf + 249
484.647 * * [simplify]: Extracting #6: cost 234 inf + 3838
484.652 * * [simplify]: Extracting #7: cost 188 inf + 13695
484.661 * * [simplify]: Extracting #8: cost 136 inf + 23918
484.672 * * [simplify]: Extracting #9: cost 101 inf + 37372
484.696 * * [simplify]: Extracting #10: cost 49 inf + 60894
484.718 * * [simplify]: Extracting #11: cost 34 inf + 70928
484.754 * * [simplify]: Extracting #12: cost 4 inf + 101758
484.788 * * [simplify]: Extracting #13: cost 0 inf + 106738
484.810 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))))))
484.810 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
484.811 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
484.811 * * [simplify]: iters left: 6 (24 enodes)
484.822 * * [simplify]: iters left: 5 (108 enodes)
484.866 * * [simplify]: iters left: 4 (309 enodes)
485.110 * * [simplify]: Extracting #0: cost 1 inf + 0
485.110 * * [simplify]: Extracting #1: cost 3 inf + 0
485.110 * * [simplify]: Extracting #2: cost 61 inf + 0
485.111 * * [simplify]: Extracting #3: cost 291 inf + 0
485.114 * * [simplify]: Extracting #4: cost 376 inf + 208
485.123 * * [simplify]: Extracting #5: cost 319 inf + 16824
485.147 * * [simplify]: Extracting #6: cost 133 inf + 87915
485.182 * * [simplify]: Extracting #7: cost 3 inf + 150800
485.258 * * [simplify]: Extracting #8: cost 0 inf + 152008
485.315 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
485.315 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))))
485.316 * * * * [progress]: [ 644 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
485.316 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
485.316 * * [simplify]: iters left: 6 (49 enodes)
485.329 * * [simplify]: iters left: 5 (237 enodes)
485.406 * * [simplify]: Extracting #0: cost 1 inf + 0
485.406 * * [simplify]: Extracting #1: cost 3 inf + 0
485.406 * * [simplify]: Extracting #2: cost 6 inf + 0
485.406 * * [simplify]: Extracting #3: cost 58 inf + 0
485.406 * * [simplify]: Extracting #4: cost 139 inf + 0
485.407 * * [simplify]: Extracting #5: cost 194 inf + 127
485.408 * * [simplify]: Extracting #6: cost 228 inf + 4280
485.410 * * [simplify]: Extracting #7: cost 186 inf + 13492
485.414 * * [simplify]: Extracting #8: cost 137 inf + 23134
485.421 * * [simplify]: Extracting #9: cost 89 inf + 41737
485.435 * * [simplify]: Extracting #10: cost 44 inf + 62470
485.469 * * [simplify]: Extracting #11: cost 7 inf + 99075
485.494 * * [simplify]: Extracting #12: cost 0 inf + 106890
485.517 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
485.517 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
485.518 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
485.519 * * [simplify]: iters left: 6 (24 enodes)
485.530 * * [simplify]: iters left: 5 (108 enodes)
485.570 * * [simplify]: iters left: 4 (307 enodes)
485.726 * * [simplify]: Extracting #0: cost 1 inf + 0
485.726 * * [simplify]: Extracting #1: cost 3 inf + 0
485.727 * * [simplify]: Extracting #2: cost 55 inf + 0
485.728 * * [simplify]: Extracting #3: cost 271 inf + 0
485.730 * * [simplify]: Extracting #4: cost 343 inf + 454
485.743 * * [simplify]: Extracting #5: cost 285 inf + 15983
485.769 * * [simplify]: Extracting #6: cost 140 inf + 70935
485.815 * * [simplify]: Extracting #7: cost 3 inf + 133725
485.858 * * [simplify]: Extracting #8: cost 0 inf + 135657
485.903 * [simplify]: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ lambda1 lambda2)))) (+ phi1 phi2)))
485.903 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ lambda1 lambda2)))) (+ phi1 phi2))))))
485.904 * * * * [progress]: [ 645 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
485.904 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
485.904 * * [simplify]: iters left: 6 (43 enodes)
485.916 * * [simplify]: iters left: 5 (201 enodes)
485.957 * * [simplify]: Extracting #0: cost 1 inf + 0
485.957 * * [simplify]: Extracting #1: cost 3 inf + 0
485.957 * * [simplify]: Extracting #2: cost 6 inf + 0
485.957 * * [simplify]: Extracting #3: cost 50 inf + 0
485.958 * * [simplify]: Extracting #4: cost 107 inf + 0
485.958 * * [simplify]: Extracting #5: cost 143 inf + 126
485.959 * * [simplify]: Extracting #6: cost 194 inf + 1722
485.963 * * [simplify]: Extracting #7: cost 175 inf + 5548
485.965 * * [simplify]: Extracting #8: cost 145 inf + 9610
485.972 * * [simplify]: Extracting #9: cost 94 inf + 27120
485.986 * * [simplify]: Extracting #10: cost 47 inf + 44996
486.001 * * [simplify]: Extracting #11: cost 25 inf + 58644
486.017 * * [simplify]: Extracting #12: cost 3 inf + 78434
486.041 * * [simplify]: Extracting #13: cost 1 inf + 81284
486.075 * * [simplify]: Extracting #14: cost 0 inf + 82829
486.097 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1))))))
486.097 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
486.098 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))
486.098 * * [simplify]: iters left: 6 (19 enodes)
486.104 * * [simplify]: iters left: 5 (86 enodes)
486.125 * * [simplify]: iters left: 4 (237 enodes)
486.216 * * [simplify]: Extracting #0: cost 1 inf + 0
486.216 * * [simplify]: Extracting #1: cost 3 inf + 0
486.216 * * [simplify]: Extracting #2: cost 30 inf + 0
486.217 * * [simplify]: Extracting #3: cost 139 inf + 0
486.218 * * [simplify]: Extracting #4: cost 184 inf + 209
486.221 * * [simplify]: Extracting #5: cost 172 inf + 6024
486.230 * * [simplify]: Extracting #6: cost 111 inf + 23811
486.255 * * [simplify]: Extracting #7: cost 15 inf + 57892
486.285 * * [simplify]: Extracting #8: cost 0 inf + 64101
486.316 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))))
486.316 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2)))))))
486.317 * * * * [progress]: [ 646 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
486.317 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
486.318 * * [simplify]: iters left: 6 (48 enodes)
486.347 * * [simplify]: iters left: 5 (229 enodes)
486.441 * * [simplify]: Extracting #0: cost 1 inf + 0
486.441 * * [simplify]: Extracting #1: cost 3 inf + 0
486.441 * * [simplify]: Extracting #2: cost 10 inf + 0
486.441 * * [simplify]: Extracting #3: cost 70 inf + 0
486.442 * * [simplify]: Extracting #4: cost 124 inf + 42
486.443 * * [simplify]: Extracting #5: cost 166 inf + 207
486.445 * * [simplify]: Extracting #6: cost 218 inf + 2246
486.447 * * [simplify]: Extracting #7: cost 183 inf + 10179
486.450 * * [simplify]: Extracting #8: cost 126 inf + 22954
486.461 * * [simplify]: Extracting #9: cost 54 inf + 51068
486.475 * * [simplify]: Extracting #10: cost 17 inf + 83415
486.500 * * [simplify]: Extracting #11: cost 1 inf + 99655
486.534 * * [simplify]: Extracting #12: cost 0 inf + 100720
486.571 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
486.571 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
486.573 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
486.573 * * [simplify]: iters left: 6 (22 enodes)
486.583 * * [simplify]: iters left: 5 (99 enodes)
486.621 * * [simplify]: iters left: 4 (254 enodes)
486.760 * * [simplify]: Extracting #0: cost 1 inf + 0
486.760 * * [simplify]: Extracting #1: cost 3 inf + 0
486.760 * * [simplify]: Extracting #2: cost 28 inf + 0
486.761 * * [simplify]: Extracting #3: cost 108 inf + 0
486.762 * * [simplify]: Extracting #4: cost 173 inf + 454
486.763 * * [simplify]: Extracting #5: cost 192 inf + 1112
486.766 * * [simplify]: Extracting #6: cost 130 inf + 18528
486.780 * * [simplify]: Extracting #7: cost 19 inf + 58751
486.803 * * [simplify]: Extracting #8: cost 0 inf + 67496
486.824 * * [simplify]: Extracting #9: cost 0 inf + 67456
486.841 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))
486.841 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
486.841 * * * * [progress]: [ 647 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
486.842 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
486.842 * * [simplify]: iters left: 6 (43 enodes)
486.859 * * [simplify]: iters left: 5 (201 enodes)
486.926 * * [simplify]: Extracting #0: cost 1 inf + 0
486.926 * * [simplify]: Extracting #1: cost 3 inf + 0
486.926 * * [simplify]: Extracting #2: cost 10 inf + 0
486.926 * * [simplify]: Extracting #3: cost 62 inf + 0
486.927 * * [simplify]: Extracting #4: cost 104 inf + 86
486.927 * * [simplify]: Extracting #5: cost 129 inf + 1147
486.928 * * [simplify]: Extracting #6: cost 186 inf + 2571
486.929 * * [simplify]: Extracting #7: cost 174 inf + 5503
486.933 * * [simplify]: Extracting #8: cost 108 inf + 20814
486.949 * * [simplify]: Extracting #9: cost 45 inf + 50366
486.967 * * [simplify]: Extracting #10: cost 5 inf + 75069
486.985 * * [simplify]: Extracting #11: cost 1 inf + 78614
487.013 * * [simplify]: Extracting #12: cost 0 inf + 80199
487.029 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1)))))
487.029 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
487.030 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
487.030 * * [simplify]: iters left: 6 (18 enodes)
487.034 * * [simplify]: iters left: 5 (81 enodes)
487.054 * * [simplify]: iters left: 4 (197 enodes)
487.125 * * [simplify]: iters left: 3 (481 enodes)
487.340 * * [simplify]: Extracting #0: cost 1 inf + 0
487.340 * * [simplify]: Extracting #1: cost 3 inf + 0
487.340 * * [simplify]: Extracting #2: cost 35 inf + 0
487.340 * * [simplify]: Extracting #3: cost 72 inf + 0
487.341 * * [simplify]: Extracting #4: cost 107 inf + 44
487.342 * * [simplify]: Extracting #5: cost 176 inf + 130
487.344 * * [simplify]: Extracting #6: cost 155 inf + 3348
487.354 * * [simplify]: Extracting #7: cost 66 inf + 24252
487.368 * * [simplify]: Extracting #8: cost 6 inf + 42749
487.382 * * [simplify]: Extracting #9: cost 0 inf + 45046
487.394 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
487.394 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))))
487.394 * * * * [progress]: [ 648 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
487.395 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
487.395 * * [simplify]: iters left: 6 (48 enodes)
487.416 * * [simplify]: iters left: 5 (229 enodes)
487.479 * * [simplify]: Extracting #0: cost 1 inf + 0
487.479 * * [simplify]: Extracting #1: cost 3 inf + 0
487.479 * * [simplify]: Extracting #2: cost 10 inf + 0
487.480 * * [simplify]: Extracting #3: cost 70 inf + 0
487.480 * * [simplify]: Extracting #4: cost 124 inf + 42
487.480 * * [simplify]: Extracting #5: cost 165 inf + 249
487.481 * * [simplify]: Extracting #6: cost 222 inf + 1680
487.482 * * [simplify]: Extracting #7: cost 194 inf + 7622
487.486 * * [simplify]: Extracting #8: cost 129 inf + 21725
487.494 * * [simplify]: Extracting #9: cost 56 inf + 50464
487.513 * * [simplify]: Extracting #10: cost 18 inf + 83811
487.545 * * [simplify]: Extracting #11: cost 1 inf + 100695
487.565 * * [simplify]: Extracting #12: cost 0 inf + 101760
487.608 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
487.608 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
487.609 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
487.609 * * [simplify]: iters left: 6 (22 enodes)
487.620 * * [simplify]: iters left: 5 (99 enodes)
487.644 * * [simplify]: iters left: 4 (254 enodes)
487.732 * * [simplify]: Extracting #0: cost 1 inf + 0
487.732 * * [simplify]: Extracting #1: cost 3 inf + 0
487.732 * * [simplify]: Extracting #2: cost 28 inf + 0
487.732 * * [simplify]: Extracting #3: cost 108 inf + 0
487.733 * * [simplify]: Extracting #4: cost 173 inf + 454
487.734 * * [simplify]: Extracting #5: cost 192 inf + 1112
487.738 * * [simplify]: Extracting #6: cost 130 inf + 18528
487.751 * * [simplify]: Extracting #7: cost 19 inf + 58751
487.770 * * [simplify]: Extracting #8: cost 0 inf + 67496
487.806 * * [simplify]: Extracting #9: cost 0 inf + 67456
487.825 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))
487.825 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
487.825 * * * * [progress]: [ 649 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
487.825 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
487.826 * * [simplify]: iters left: 6 (43 enodes)
487.837 * * [simplify]: iters left: 5 (201 enodes)
487.906 * * [simplify]: Extracting #0: cost 1 inf + 0
487.906 * * [simplify]: Extracting #1: cost 3 inf + 0
487.907 * * [simplify]: Extracting #2: cost 10 inf + 0
487.907 * * [simplify]: Extracting #3: cost 61 inf + 0
487.907 * * [simplify]: Extracting #4: cost 105 inf + 44
487.908 * * [simplify]: Extracting #5: cost 131 inf + 902
487.910 * * [simplify]: Extracting #6: cost 183 inf + 2976
487.912 * * [simplify]: Extracting #7: cost 172 inf + 5667
487.916 * * [simplify]: Extracting #8: cost 109 inf + 20668
487.925 * * [simplify]: Extracting #9: cost 41 inf + 51763
487.940 * * [simplify]: Extracting #10: cost 4 inf + 75952
487.957 * * [simplify]: Extracting #11: cost 0 inf + 80599
487.981 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1)))))
487.981 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
487.982 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
487.983 * * [simplify]: iters left: 6 (18 enodes)
487.991 * * [simplify]: iters left: 5 (81 enodes)
488.012 * * [simplify]: iters left: 4 (197 enodes)
488.068 * * [simplify]: iters left: 3 (481 enodes)
488.237 * * [simplify]: Extracting #0: cost 1 inf + 0
488.238 * * [simplify]: Extracting #1: cost 3 inf + 0
488.238 * * [simplify]: Extracting #2: cost 35 inf + 0
488.238 * * [simplify]: Extracting #3: cost 72 inf + 0
488.238 * * [simplify]: Extracting #4: cost 107 inf + 44
488.239 * * [simplify]: Extracting #5: cost 176 inf + 130
488.240 * * [simplify]: Extracting #6: cost 155 inf + 3348
488.247 * * [simplify]: Extracting #7: cost 66 inf + 24252
488.257 * * [simplify]: Extracting #8: cost 6 inf + 42749
488.269 * * [simplify]: Extracting #9: cost 0 inf + 45046
488.280 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
488.281 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))))
488.281 * * * * [progress]: [ 650 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
488.281 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
488.282 * * [simplify]: iters left: 6 (51 enodes)
488.300 * * [simplify]: iters left: 5 (252 enodes)
488.363 * * [simplify]: Extracting #0: cost 1 inf + 0
488.363 * * [simplify]: Extracting #1: cost 3 inf + 0
488.363 * * [simplify]: Extracting #2: cost 6 inf + 0
488.363 * * [simplify]: Extracting #3: cost 52 inf + 0
488.364 * * [simplify]: Extracting #4: cost 120 inf + 0
488.364 * * [simplify]: Extracting #5: cost 189 inf + 0
488.365 * * [simplify]: Extracting #6: cost 283 inf + 763
488.366 * * [simplify]: Extracting #7: cost 255 inf + 8556
488.372 * * [simplify]: Extracting #8: cost 153 inf + 31675
488.389 * * [simplify]: Extracting #9: cost 75 inf + 55029
488.409 * * [simplify]: Extracting #10: cost 28 inf + 88838
488.434 * * [simplify]: Extracting #11: cost 2 inf + 111104
488.458 * * [simplify]: Extracting #12: cost 1 inf + 112889
488.482 * * [simplify]: Extracting #13: cost 0 inf + 114674
488.517 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))))
488.517 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
488.518 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
488.518 * * [simplify]: iters left: 6 (26 enodes)
488.524 * * [simplify]: iters left: 5 (125 enodes)
488.554 * * [simplify]: iters left: 4 (403 enodes)
488.763 * * [simplify]: Extracting #0: cost 1 inf + 0
488.764 * * [simplify]: Extracting #1: cost 3 inf + 0
488.764 * * [simplify]: Extracting #2: cost 39 inf + 0
488.764 * * [simplify]: Extracting #3: cost 266 inf + 0
488.766 * * [simplify]: Extracting #4: cost 468 inf + 44
488.769 * * [simplify]: Extracting #5: cost 514 inf + 5110
488.783 * * [simplify]: Extracting #6: cost 283 inf + 81031
488.840 * * [simplify]: Extracting #7: cost 37 inf + 195384
488.899 * * [simplify]: Extracting #8: cost 0 inf + 206077
488.955 * * [simplify]: Extracting #9: cost 0 inf + 202157
489.016 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))
489.016 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))))))))
489.017 * * * * [progress]: [ 651 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
489.017 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
489.017 * * [simplify]: iters left: 6 (52 enodes)
489.036 * * [simplify]: iters left: 5 (261 enodes)
489.100 * * [simplify]: Extracting #0: cost 1 inf + 0
489.101 * * [simplify]: Extracting #1: cost 3 inf + 0
489.101 * * [simplify]: Extracting #2: cost 6 inf + 0
489.101 * * [simplify]: Extracting #3: cost 55 inf + 0
489.101 * * [simplify]: Extracting #4: cost 142 inf + 0
489.101 * * [simplify]: Extracting #5: cost 200 inf + 126
489.104 * * [simplify]: Extracting #6: cost 259 inf + 5002
489.109 * * [simplify]: Extracting #7: cost 233 inf + 11582
489.115 * * [simplify]: Extracting #8: cost 124 inf + 41532
489.128 * * [simplify]: Extracting #9: cost 50 inf + 71935
489.153 * * [simplify]: Extracting #10: cost 3 inf + 110532
489.180 * * [simplify]: Extracting #11: cost 0 inf + 114327
489.208 * * [simplify]: Extracting #12: cost 0 inf + 113247
489.242 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))
489.242 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
489.243 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
489.243 * * [simplify]: iters left: 6 (27 enodes)
489.250 * * [simplify]: iters left: 5 (129 enodes)
489.286 * * [simplify]: iters left: 4 (399 enodes)
489.497 * * [simplify]: Extracting #0: cost 1 inf + 0
489.497 * * [simplify]: Extracting #1: cost 3 inf + 0
489.497 * * [simplify]: Extracting #2: cost 64 inf + 0
489.498 * * [simplify]: Extracting #3: cost 282 inf + 0
489.499 * * [simplify]: Extracting #4: cost 411 inf + 44
489.502 * * [simplify]: Extracting #5: cost 463 inf + 3211
489.533 * * [simplify]: Extracting #6: cost 224 inf + 103290
489.608 * * [simplify]: Extracting #7: cost 17 inf + 185677
489.676 * * [simplify]: Extracting #8: cost 0 inf + 185609
489.732 * * [simplify]: Extracting #9: cost 0 inf + 184889
489.795 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))))
489.795 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))))
489.796 * * * * [progress]: [ 652 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
489.796 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
489.796 * * [simplify]: iters left: 6 (52 enodes)
489.811 * * [simplify]: iters left: 5 (261 enodes)
489.888 * * [simplify]: Extracting #0: cost 1 inf + 0
489.888 * * [simplify]: Extracting #1: cost 3 inf + 0
489.888 * * [simplify]: Extracting #2: cost 6 inf + 0
489.888 * * [simplify]: Extracting #3: cost 57 inf + 0
489.889 * * [simplify]: Extracting #4: cost 140 inf + 0
489.889 * * [simplify]: Extracting #5: cost 197 inf + 85
489.893 * * [simplify]: Extracting #6: cost 261 inf + 3471
489.895 * * [simplify]: Extracting #7: cost 241 inf + 9799
489.899 * * [simplify]: Extracting #8: cost 150 inf + 29419
489.906 * * [simplify]: Extracting #9: cost 102 inf + 44880
489.922 * * [simplify]: Extracting #10: cost 53 inf + 66981
489.948 * * [simplify]: Extracting #11: cost 30 inf + 81729
489.968 * * [simplify]: Extracting #12: cost 1 inf + 109174
489.991 * * [simplify]: Extracting #13: cost 0 inf + 110959
490.015 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))
490.015 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
490.016 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
490.016 * * [simplify]: iters left: 6 (27 enodes)
490.022 * * [simplify]: iters left: 5 (129 enodes)
490.062 * * [simplify]: iters left: 4 (397 enodes)
490.239 * * [simplify]: Extracting #0: cost 1 inf + 0
490.240 * * [simplify]: Extracting #1: cost 3 inf + 0
490.240 * * [simplify]: Extracting #2: cost 56 inf + 0
490.240 * * [simplify]: Extracting #3: cost 259 inf + 0
490.241 * * [simplify]: Extracting #4: cost 366 inf + 535
490.244 * * [simplify]: Extracting #5: cost 399 inf + 6663
490.260 * * [simplify]: Extracting #6: cost 202 inf + 83605
490.315 * * [simplify]: Extracting #7: cost 7 inf + 166799
490.360 * * [simplify]: Extracting #8: cost 0 inf + 161585
490.426 * * [simplify]: Extracting #9: cost 0 inf + 161105
490.470 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))))
490.470 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)))))))
490.471 * * * * [progress]: [ 653 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
490.471 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
490.472 * * [simplify]: iters left: 6 (46 enodes)
490.494 * * [simplify]: iters left: 5 (225 enodes)
490.550 * * [simplify]: Extracting #0: cost 1 inf + 0
490.550 * * [simplify]: Extracting #1: cost 3 inf + 0
490.550 * * [simplify]: Extracting #2: cost 6 inf + 0
490.550 * * [simplify]: Extracting #3: cost 49 inf + 0
490.551 * * [simplify]: Extracting #4: cost 109 inf + 0
490.551 * * [simplify]: Extracting #5: cost 146 inf + 126
490.552 * * [simplify]: Extracting #6: cost 228 inf + 950
490.553 * * [simplify]: Extracting #7: cost 229 inf + 2656
490.555 * * [simplify]: Extracting #8: cost 154 inf + 16121
490.563 * * [simplify]: Extracting #9: cost 71 inf + 46735
490.584 * * [simplify]: Extracting #10: cost 8 inf + 87654
490.602 * * [simplify]: Extracting #11: cost 0 inf + 90580
490.621 * * [simplify]: Extracting #12: cost 0 inf + 90100
490.641 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1)))) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))) (+ phi2 phi1))))
490.642 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1)))) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))) (+ phi2 phi1)))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
490.642 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))
490.642 * * [simplify]: iters left: 6 (22 enodes)
490.648 * * [simplify]: iters left: 5 (107 enodes)
490.673 * * [simplify]: iters left: 4 (332 enodes)
490.811 * * [simplify]: Extracting #0: cost 1 inf + 0
490.811 * * [simplify]: Extracting #1: cost 3 inf + 0
490.811 * * [simplify]: Extracting #2: cost 34 inf + 0
490.812 * * [simplify]: Extracting #3: cost 148 inf + 0
490.813 * * [simplify]: Extracting #4: cost 229 inf + 210
490.816 * * [simplify]: Extracting #5: cost 290 inf + 3092
490.821 * * [simplify]: Extracting #6: cost 249 inf + 10986
490.842 * * [simplify]: Extracting #7: cost 98 inf + 53471
490.868 * * [simplify]: Extracting #8: cost 4 inf + 93418
490.903 * * [simplify]: Extracting #9: cost 0 inf + 94870
490.932 * * [simplify]: Extracting #10: cost 0 inf + 94830
490.962 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ phi2 phi1)))))
490.962 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ phi2 phi1))))))))
490.963 * * * * [progress]: [ 654 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
490.963 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
490.963 * * [simplify]: iters left: 6 (51 enodes)
490.977 * * [simplify]: iters left: 5 (253 enodes)
491.047 * * [simplify]: Extracting #0: cost 1 inf + 0
491.047 * * [simplify]: Extracting #1: cost 3 inf + 0
491.047 * * [simplify]: Extracting #2: cost 10 inf + 0
491.047 * * [simplify]: Extracting #3: cost 67 inf + 0
491.048 * * [simplify]: Extracting #4: cost 125 inf + 42
491.048 * * [simplify]: Extracting #5: cost 167 inf + 249
491.049 * * [simplify]: Extracting #6: cost 250 inf + 1759
491.050 * * [simplify]: Extracting #7: cost 241 inf + 7218
491.054 * * [simplify]: Extracting #8: cost 151 inf + 26428
491.063 * * [simplify]: Extracting #9: cost 56 inf + 60306
491.085 * * [simplify]: Extracting #10: cost 6 inf + 99595
491.115 * * [simplify]: Extracting #11: cost 1 inf + 106440
491.141 * * [simplify]: Extracting #12: cost 0 inf + 108225
491.165 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
491.166 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
491.167 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
491.167 * * [simplify]: iters left: 6 (25 enodes)
491.179 * * [simplify]: iters left: 5 (120 enodes)
491.224 * * [simplify]: iters left: 4 (345 enodes)
491.360 * * [simplify]: Extracting #0: cost 1 inf + 0
491.360 * * [simplify]: Extracting #1: cost 3 inf + 0
491.360 * * [simplify]: Extracting #2: cost 31 inf + 0
491.361 * * [simplify]: Extracting #3: cost 113 inf + 0
491.362 * * [simplify]: Extracting #4: cost 222 inf + 2
491.364 * * [simplify]: Extracting #5: cost 299 inf + 697
491.373 * * [simplify]: Extracting #6: cost 200 inf + 31994
491.407 * * [simplify]: Extracting #7: cost 24 inf + 95034
491.437 * * [simplify]: Extracting #8: cost 0 inf + 96218
491.472 * * [simplify]: Extracting #9: cost 0 inf + 95378
491.509 * * [simplify]: Extracting #10: cost 0 inf + 95338
491.540 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))
491.540 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))
491.541 * * * * [progress]: [ 655 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
491.541 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
491.542 * * [simplify]: iters left: 6 (46 enodes)
491.561 * * [simplify]: iters left: 5 (225 enodes)
491.625 * * [simplify]: Extracting #0: cost 1 inf + 0
491.625 * * [simplify]: Extracting #1: cost 3 inf + 0
491.625 * * [simplify]: Extracting #2: cost 10 inf + 0
491.625 * * [simplify]: Extracting #3: cost 59 inf + 0
491.625 * * [simplify]: Extracting #4: cost 106 inf + 44
491.625 * * [simplify]: Extracting #5: cost 135 inf + 538
491.630 * * [simplify]: Extracting #6: cost 214 inf + 2770
491.631 * * [simplify]: Extracting #7: cost 221 inf + 3545
491.634 * * [simplify]: Extracting #8: cost 135 inf + 22570
491.643 * * [simplify]: Extracting #9: cost 55 inf + 52430
491.658 * * [simplify]: Extracting #10: cost 2 inf + 85715
491.677 * * [simplify]: Extracting #11: cost 0 inf + 86805
491.707 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ phi2 phi1)))))
491.707 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
491.708 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
491.708 * * [simplify]: iters left: 6 (21 enodes)
491.717 * * [simplify]: iters left: 5 (102 enodes)
491.738 * * [simplify]: iters left: 4 (292 enodes)
491.829 * * [simplify]: Extracting #0: cost 1 inf + 0
491.829 * * [simplify]: Extracting #1: cost 3 inf + 0
491.829 * * [simplify]: Extracting #2: cost 22 inf + 0
491.830 * * [simplify]: Extracting #3: cost 60 inf + 0
491.830 * * [simplify]: Extracting #4: cost 133 inf + 2
491.831 * * [simplify]: Extracting #5: cost 219 inf + 44
491.834 * * [simplify]: Extracting #6: cost 154 inf + 16430
491.855 * * [simplify]: Extracting #7: cost 15 inf + 54988
491.872 * * [simplify]: Extracting #8: cost 0 inf + 57105
491.888 * * [simplify]: Extracting #9: cost 0 inf + 56545
491.911 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
491.911 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ phi2 phi1))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))))
491.912 * * * * [progress]: [ 656 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
491.912 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
491.912 * * [simplify]: iters left: 6 (51 enodes)
491.926 * * [simplify]: iters left: 5 (253 enodes)
492.001 * * [simplify]: Extracting #0: cost 1 inf + 0
492.001 * * [simplify]: Extracting #1: cost 3 inf + 0
492.001 * * [simplify]: Extracting #2: cost 10 inf + 0
492.001 * * [simplify]: Extracting #3: cost 67 inf + 0
492.002 * * [simplify]: Extracting #4: cost 125 inf + 42
492.002 * * [simplify]: Extracting #5: cost 167 inf + 248
492.003 * * [simplify]: Extracting #6: cost 246 inf + 2406
492.004 * * [simplify]: Extracting #7: cost 238 inf + 7471
492.008 * * [simplify]: Extracting #8: cost 148 inf + 26037
492.018 * * [simplify]: Extracting #9: cost 57 inf + 60222
492.036 * * [simplify]: Extracting #10: cost 6 inf + 100315
492.058 * * [simplify]: Extracting #11: cost 1 inf + 107160
492.101 * * [simplify]: Extracting #12: cost 0 inf + 108945
492.126 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
492.126 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
492.127 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
492.127 * * [simplify]: iters left: 6 (25 enodes)
492.133 * * [simplify]: iters left: 5 (120 enodes)
492.167 * * [simplify]: iters left: 4 (345 enodes)
492.298 * * [simplify]: Extracting #0: cost 1 inf + 0
492.298 * * [simplify]: Extracting #1: cost 3 inf + 0
492.298 * * [simplify]: Extracting #2: cost 31 inf + 0
492.299 * * [simplify]: Extracting #3: cost 113 inf + 0
492.299 * * [simplify]: Extracting #4: cost 222 inf + 2
492.301 * * [simplify]: Extracting #5: cost 299 inf + 697
492.307 * * [simplify]: Extracting #6: cost 200 inf + 31994
492.341 * * [simplify]: Extracting #7: cost 24 inf + 95034
492.371 * * [simplify]: Extracting #8: cost 0 inf + 96218
492.421 * * [simplify]: Extracting #9: cost 0 inf + 95378
492.460 * * [simplify]: Extracting #10: cost 0 inf + 95338
492.489 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))
492.489 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))
492.490 * * * * [progress]: [ 657 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
492.490 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
492.490 * * [simplify]: iters left: 6 (46 enodes)
492.506 * * [simplify]: iters left: 5 (225 enodes)
492.560 * * [simplify]: Extracting #0: cost 1 inf + 0
492.560 * * [simplify]: Extracting #1: cost 3 inf + 0
492.560 * * [simplify]: Extracting #2: cost 10 inf + 0
492.560 * * [simplify]: Extracting #3: cost 58 inf + 0
492.561 * * [simplify]: Extracting #4: cost 106 inf + 44
492.562 * * [simplify]: Extracting #5: cost 130 inf + 1188
492.563 * * [simplify]: Extracting #6: cost 213 inf + 2932
492.566 * * [simplify]: Extracting #7: cost 219 inf + 3708
492.572 * * [simplify]: Extracting #8: cost 132 inf + 23119
492.586 * * [simplify]: Extracting #9: cost 52 inf + 53550
492.605 * * [simplify]: Extracting #10: cost 2 inf + 86115
492.623 * * [simplify]: Extracting #11: cost 0 inf + 87205
492.641 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ phi2 phi1)))))
492.641 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
492.642 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
492.642 * * [simplify]: iters left: 6 (21 enodes)
492.648 * * [simplify]: iters left: 5 (102 enodes)
492.669 * * [simplify]: iters left: 4 (292 enodes)
492.775 * * [simplify]: Extracting #0: cost 1 inf + 0
492.775 * * [simplify]: Extracting #1: cost 3 inf + 0
492.776 * * [simplify]: Extracting #2: cost 22 inf + 0
492.776 * * [simplify]: Extracting #3: cost 60 inf + 0
492.776 * * [simplify]: Extracting #4: cost 133 inf + 2
492.777 * * [simplify]: Extracting #5: cost 219 inf + 44
492.782 * * [simplify]: Extracting #6: cost 154 inf + 16430
492.795 * * [simplify]: Extracting #7: cost 15 inf + 54988
492.811 * * [simplify]: Extracting #8: cost 0 inf + 57105
492.832 * * [simplify]: Extracting #9: cost 0 inf + 56545
492.847 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
492.847 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ phi2 phi1))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))))
492.848 * * * * [progress]: [ 658 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
492.848 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
492.848 * * [simplify]: iters left: 6 (47 enodes)
492.866 * * [simplify]: iters left: 5 (226 enodes)
492.927 * * [simplify]: Extracting #0: cost 1 inf + 0
492.928 * * [simplify]: Extracting #1: cost 3 inf + 0
492.928 * * [simplify]: Extracting #2: cost 6 inf + 0
492.928 * * [simplify]: Extracting #3: cost 52 inf + 0
492.928 * * [simplify]: Extracting #4: cost 119 inf + 0
492.928 * * [simplify]: Extracting #5: cost 173 inf + 1
492.929 * * [simplify]: Extracting #6: cost 241 inf + 413
492.931 * * [simplify]: Extracting #7: cost 205 inf + 9258
492.934 * * [simplify]: Extracting #8: cost 146 inf + 19985
492.941 * * [simplify]: Extracting #9: cost 79 inf + 42660
492.961 * * [simplify]: Extracting #10: cost 12 inf + 86489
492.980 * * [simplify]: Extracting #11: cost 1 inf + 93384
493.014 * * [simplify]: Extracting #12: cost 0 inf + 94496
493.034 * * [simplify]: Extracting #13: cost 0 inf + 94365
493.065 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
493.065 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
493.067 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
493.067 * * [simplify]: iters left: 6 (24 enodes)
493.078 * * [simplify]: iters left: 5 (113 enodes)
493.102 * * [simplify]: iters left: 4 (339 enodes)
493.269 * * [simplify]: Extracting #0: cost 1 inf + 0
493.269 * * [simplify]: Extracting #1: cost 3 inf + 0
493.269 * * [simplify]: Extracting #2: cost 65 inf + 0
493.270 * * [simplify]: Extracting #3: cost 409 inf + 0
493.272 * * [simplify]: Extracting #4: cost 589 inf + 453
493.285 * * [simplify]: Extracting #5: cost 373 inf + 71596
493.327 * * [simplify]: Extracting #6: cost 40 inf + 201502
493.377 * * [simplify]: Extracting #7: cost 1 inf + 204163
493.425 * * [simplify]: Extracting #8: cost 0 inf + 204167
493.472 * [simplify]: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))
493.472 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))))
493.473 * * * * [progress]: [ 659 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
493.474 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
493.475 * * [simplify]: iters left: 6 (48 enodes)
493.501 * * [simplify]: iters left: 5 (235 enodes)
493.561 * * [simplify]: Extracting #0: cost 1 inf + 0
493.561 * * [simplify]: Extracting #1: cost 3 inf + 0
493.562 * * [simplify]: Extracting #2: cost 6 inf + 0
493.562 * * [simplify]: Extracting #3: cost 56 inf + 0
493.562 * * [simplify]: Extracting #4: cost 142 inf + 0
493.563 * * [simplify]: Extracting #5: cost 182 inf + 413
493.565 * * [simplify]: Extracting #6: cost 219 inf + 4402
493.569 * * [simplify]: Extracting #7: cost 203 inf + 10191
493.577 * * [simplify]: Extracting #8: cost 141 inf + 23544
493.585 * * [simplify]: Extracting #9: cost 73 inf + 49620
493.602 * * [simplify]: Extracting #10: cost 10 inf + 90692
493.626 * * [simplify]: Extracting #11: cost 0 inf + 96302
493.646 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))
493.646 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
493.647 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
493.647 * * [simplify]: iters left: 6 (25 enodes)
493.653 * * [simplify]: iters left: 5 (117 enodes)
493.679 * * [simplify]: iters left: 4 (337 enodes)
493.850 * * [simplify]: Extracting #0: cost 1 inf + 0
493.850 * * [simplify]: Extracting #1: cost 3 inf + 0
493.851 * * [simplify]: Extracting #2: cost 83 inf + 0
493.851 * * [simplify]: Extracting #3: cost 373 inf + 0
493.856 * * [simplify]: Extracting #4: cost 493 inf + 210
493.870 * * [simplify]: Extracting #5: cost 258 inf + 82776
493.911 * * [simplify]: Extracting #6: cost 8 inf + 174464
493.965 * * [simplify]: Extracting #7: cost 0 inf + 164374
494.009 * * [simplify]: Extracting #8: cost 0 inf + 164054
494.048 * [simplify]: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))))
494.048 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (- (* phi1 phi1) (* phi2 phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)))))))
494.049 * * * * [progress]: [ 660 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
494.049 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
494.049 * * [simplify]: iters left: 6 (48 enodes)
494.068 * * [simplify]: iters left: 5 (235 enodes)
494.128 * * [simplify]: Extracting #0: cost 1 inf + 0
494.128 * * [simplify]: Extracting #1: cost 3 inf + 0
494.128 * * [simplify]: Extracting #2: cost 6 inf + 0
494.128 * * [simplify]: Extracting #3: cost 58 inf + 0
494.129 * * [simplify]: Extracting #4: cost 140 inf + 0
494.130 * * [simplify]: Extracting #5: cost 178 inf + 503
494.132 * * [simplify]: Extracting #6: cost 213 inf + 6141
494.136 * * [simplify]: Extracting #7: cost 202 inf + 10737
494.143 * * [simplify]: Extracting #8: cost 148 inf + 19194
494.153 * * [simplify]: Extracting #9: cost 99 inf + 33701
494.181 * * [simplify]: Extracting #10: cost 21 inf + 85414
494.215 * * [simplify]: Extracting #11: cost 0 inf + 100154
494.235 * * [simplify]: Extracting #12: cost 0 inf + 96320
494.259 * * [simplify]: Extracting #13: cost 0 inf + 95534
494.280 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))))))
494.280 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
494.281 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
494.281 * * [simplify]: iters left: 6 (25 enodes)
494.287 * * [simplify]: iters left: 5 (117 enodes)
494.310 * * [simplify]: iters left: 4 (335 enodes)
494.504 * * [simplify]: Extracting #0: cost 1 inf + 0
494.504 * * [simplify]: Extracting #1: cost 3 inf + 0
494.504 * * [simplify]: Extracting #2: cost 73 inf + 0
494.505 * * [simplify]: Extracting #3: cost 372 inf + 0
494.507 * * [simplify]: Extracting #4: cost 435 inf + 2519
494.521 * * [simplify]: Extracting #5: cost 198 inf + 89598
494.557 * * [simplify]: Extracting #6: cost 5 inf + 155651
494.589 * * [simplify]: Extracting #7: cost 0 inf + 145305
494.621 * * [simplify]: Extracting #8: cost 0 inf + 145145
494.654 * [simplify]: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))
494.654 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))))
494.654 * * * * [progress]: [ 661 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
494.655 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
494.655 * * [simplify]: iters left: 6 (42 enodes)
494.667 * * [simplify]: iters left: 5 (201 enodes)
494.707 * * [simplify]: Extracting #0: cost 1 inf + 0
494.707 * * [simplify]: Extracting #1: cost 3 inf + 0
494.708 * * [simplify]: Extracting #2: cost 6 inf + 0
494.708 * * [simplify]: Extracting #3: cost 44 inf + 0
494.708 * * [simplify]: Extracting #4: cost 100 inf + 0
494.708 * * [simplify]: Extracting #5: cost 126 inf + 45
494.709 * * [simplify]: Extracting #6: cost 177 inf + 1680
494.710 * * [simplify]: Extracting #7: cost 171 inf + 5020
494.717 * * [simplify]: Extracting #8: cost 96 inf + 25338
494.731 * * [simplify]: Extracting #9: cost 23 inf + 62920
494.748 * * [simplify]: Extracting #10: cost 2 inf + 73143
494.764 * * [simplify]: Extracting #11: cost 0 inf + 71967
494.779 * * [simplify]: Extracting #12: cost 0 inf + 71247
494.795 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))))
494.795 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
494.796 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))
494.796 * * [simplify]: iters left: 6 (20 enodes)
494.801 * * [simplify]: iters left: 5 (95 enodes)
494.820 * * [simplify]: iters left: 4 (272 enodes)
494.901 * * [simplify]: Extracting #0: cost 1 inf + 0
494.902 * * [simplify]: Extracting #1: cost 3 inf + 0
494.902 * * [simplify]: Extracting #2: cost 39 inf + 0
494.902 * * [simplify]: Extracting #3: cost 237 inf + 0
494.903 * * [simplify]: Extracting #4: cost 284 inf + 210
494.909 * * [simplify]: Extracting #5: cost 175 inf + 32162
494.927 * * [simplify]: Extracting #6: cost 13 inf + 85156
494.945 * * [simplify]: Extracting #7: cost 0 inf + 78830
494.965 * * [simplify]: Extracting #8: cost 0 inf + 78350
494.982 * [simplify]: Simplified to (sqrt (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi1 phi2)) (+ phi1 phi2)))
494.983 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi1 phi2)) (+ phi1 phi2))))))
494.983 * * * * [progress]: [ 662 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
494.984 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
494.984 * * [simplify]: iters left: 6 (47 enodes)
494.997 * * [simplify]: iters left: 5 (229 enodes)
495.047 * * [simplify]: Extracting #0: cost 1 inf + 0
495.047 * * [simplify]: Extracting #1: cost 3 inf + 0
495.047 * * [simplify]: Extracting #2: cost 10 inf + 0
495.047 * * [simplify]: Extracting #3: cost 62 inf + 0
495.047 * * [simplify]: Extracting #4: cost 125 inf + 42
495.048 * * [simplify]: Extracting #5: cost 151 inf + 291
495.049 * * [simplify]: Extracting #6: cost 207 inf + 2284
495.050 * * [simplify]: Extracting #7: cost 196 inf + 7004
495.054 * * [simplify]: Extracting #8: cost 125 inf + 23179
495.066 * * [simplify]: Extracting #9: cost 27 inf + 74486
495.083 * * [simplify]: Extracting #10: cost 1 inf + 90707
495.102 * * [simplify]: Extracting #11: cost 0 inf + 90179
495.120 * * [simplify]: Extracting #12: cost 0 inf + 90008
495.141 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
495.141 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
495.142 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
495.142 * * [simplify]: iters left: 6 (23 enodes)
495.147 * * [simplify]: iters left: 5 (108 enodes)
495.167 * * [simplify]: iters left: 4 (287 enodes)
495.254 * * [simplify]: Extracting #0: cost 1 inf + 0
495.254 * * [simplify]: Extracting #1: cost 3 inf + 0
495.254 * * [simplify]: Extracting #2: cost 42 inf + 0
495.255 * * [simplify]: Extracting #3: cost 183 inf + 0
495.255 * * [simplify]: Extracting #4: cost 247 inf + 44
495.262 * * [simplify]: Extracting #5: cost 187 inf + 17170
495.277 * * [simplify]: Extracting #6: cost 19 inf + 74841
495.296 * * [simplify]: Extracting #7: cost 0 inf + 72867
495.313 * * [simplify]: Extracting #8: cost 0 inf + 71627
495.331 * [simplify]: Simplified to (sqrt (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))
495.331 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))
495.331 * * * * [progress]: [ 663 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
495.332 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
495.332 * * [simplify]: iters left: 6 (42 enodes)
495.344 * * [simplify]: iters left: 5 (201 enodes)
495.389 * * [simplify]: Extracting #0: cost 1 inf + 0
495.389 * * [simplify]: Extracting #1: cost 3 inf + 0
495.389 * * [simplify]: Extracting #2: cost 10 inf + 0
495.389 * * [simplify]: Extracting #3: cost 59 inf + 0
495.389 * * [simplify]: Extracting #4: cost 113 inf + 86
495.390 * * [simplify]: Extracting #5: cost 125 inf + 1068
495.390 * * [simplify]: Extracting #6: cost 181 inf + 2933
495.392 * * [simplify]: Extracting #7: cost 184 inf + 4947
495.395 * * [simplify]: Extracting #8: cost 108 inf + 26348
495.408 * * [simplify]: Extracting #9: cost 22 inf + 67730
495.423 * * [simplify]: Extracting #10: cost 2 inf + 77439
495.440 * * [simplify]: Extracting #11: cost 0 inf + 76292
495.456 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))
495.456 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
495.457 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))
495.457 * * [simplify]: iters left: 6 (19 enodes)
495.461 * * [simplify]: iters left: 5 (90 enodes)
495.478 * * [simplify]: iters left: 4 (230 enodes)
495.541 * * [simplify]: Extracting #0: cost 1 inf + 0
495.541 * * [simplify]: Extracting #1: cost 3 inf + 0
495.541 * * [simplify]: Extracting #2: cost 20 inf + 0
495.541 * * [simplify]: Extracting #3: cost 79 inf + 0
495.541 * * [simplify]: Extracting #4: cost 111 inf + 45
495.542 * * [simplify]: Extracting #5: cost 99 inf + 2717
495.548 * * [simplify]: Extracting #6: cost 11 inf + 25850
495.555 * * [simplify]: Extracting #7: cost 0 inf + 26721
495.563 * * [simplify]: Extracting #8: cost 0 inf + 25681
495.570 * [simplify]: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi1 phi2)))
495.570 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi1 phi2))))))
495.570 * * * * [progress]: [ 664 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
495.571 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
495.571 * * [simplify]: iters left: 6 (47 enodes)
495.586 * * [simplify]: iters left: 5 (229 enodes)
495.634 * * [simplify]: Extracting #0: cost 1 inf + 0
495.634 * * [simplify]: Extracting #1: cost 3 inf + 0
495.634 * * [simplify]: Extracting #2: cost 10 inf + 0
495.634 * * [simplify]: Extracting #3: cost 62 inf + 0
495.634 * * [simplify]: Extracting #4: cost 125 inf + 42
495.635 * * [simplify]: Extracting #5: cost 150 inf + 333
495.636 * * [simplify]: Extracting #6: cost 202 inf + 3414
495.637 * * [simplify]: Extracting #7: cost 197 inf + 6752
495.641 * * [simplify]: Extracting #8: cost 123 inf + 24337
495.651 * * [simplify]: Extracting #9: cost 29 inf + 73577
495.671 * * [simplify]: Extracting #10: cost 1 inf + 91747
495.690 * * [simplify]: Extracting #11: cost 0 inf + 91139
495.709 * * [simplify]: Extracting #12: cost 0 inf + 90968
495.729 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
495.729 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
495.730 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
495.730 * * [simplify]: iters left: 6 (23 enodes)
495.735 * * [simplify]: iters left: 5 (108 enodes)
495.757 * * [simplify]: iters left: 4 (287 enodes)
495.843 * * [simplify]: Extracting #0: cost 1 inf + 0
495.843 * * [simplify]: Extracting #1: cost 3 inf + 0
495.843 * * [simplify]: Extracting #2: cost 42 inf + 0
495.843 * * [simplify]: Extracting #3: cost 183 inf + 0
495.844 * * [simplify]: Extracting #4: cost 247 inf + 44
495.847 * * [simplify]: Extracting #5: cost 187 inf + 17170
495.862 * * [simplify]: Extracting #6: cost 19 inf + 74841
495.881 * * [simplify]: Extracting #7: cost 0 inf + 72867
495.901 * * [simplify]: Extracting #8: cost 0 inf + 71627
495.918 * [simplify]: Simplified to (sqrt (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))
495.918 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))
495.919 * * * * [progress]: [ 665 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
495.919 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
495.919 * * [simplify]: iters left: 6 (42 enodes)
495.930 * * [simplify]: iters left: 5 (201 enodes)
495.972 * * [simplify]: Extracting #0: cost 1 inf + 0
495.972 * * [simplify]: Extracting #1: cost 3 inf + 0
495.972 * * [simplify]: Extracting #2: cost 10 inf + 0
495.972 * * [simplify]: Extracting #3: cost 58 inf + 0
495.973 * * [simplify]: Extracting #4: cost 114 inf + 44
495.973 * * [simplify]: Extracting #5: cost 126 inf + 946
495.974 * * [simplify]: Extracting #6: cost 182 inf + 2771
495.975 * * [simplify]: Extracting #7: cost 183 inf + 5028
495.979 * * [simplify]: Extracting #8: cost 104 inf + 27740
495.990 * * [simplify]: Extracting #9: cost 22 inf + 67770
496.006 * * [simplify]: Extracting #10: cost 2 inf + 77839
496.022 * * [simplify]: Extracting #11: cost 0 inf + 76692
496.038 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))
496.038 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
496.039 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))
496.039 * * [simplify]: iters left: 6 (19 enodes)
496.044 * * [simplify]: iters left: 5 (90 enodes)
496.062 * * [simplify]: iters left: 4 (230 enodes)
496.123 * * [simplify]: Extracting #0: cost 1 inf + 0
496.123 * * [simplify]: Extracting #1: cost 3 inf + 0
496.123 * * [simplify]: Extracting #2: cost 20 inf + 0
496.123 * * [simplify]: Extracting #3: cost 79 inf + 0
496.124 * * [simplify]: Extracting #4: cost 111 inf + 45
496.124 * * [simplify]: Extracting #5: cost 99 inf + 2717
496.130 * * [simplify]: Extracting #6: cost 11 inf + 25850
496.137 * * [simplify]: Extracting #7: cost 0 inf + 26721
496.144 * * [simplify]: Extracting #8: cost 0 inf + 25681
496.151 * [simplify]: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi1 phi2)))
496.151 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi1 phi2))))))
496.151 * * * * [progress]: [ 666 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
496.152 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
496.152 * * [simplify]: iters left: 6 (47 enodes)
496.165 * * [simplify]: iters left: 5 (227 enodes)
496.214 * * [simplify]: Extracting #0: cost 1 inf + 0
496.215 * * [simplify]: Extracting #1: cost 3 inf + 0
496.215 * * [simplify]: Extracting #2: cost 6 inf + 0
496.215 * * [simplify]: Extracting #3: cost 44 inf + 0
496.215 * * [simplify]: Extracting #4: cost 104 inf + 0
496.215 * * [simplify]: Extracting #5: cost 158 inf + 1
496.216 * * [simplify]: Extracting #6: cost 228 inf + 210
496.217 * * [simplify]: Extracting #7: cost 207 inf + 5134
496.221 * * [simplify]: Extracting #8: cost 117 inf + 25280
496.233 * * [simplify]: Extracting #9: cost 13 inf + 79885
496.251 * * [simplify]: Extracting #10: cost 1 inf + 85717
496.269 * * [simplify]: Extracting #11: cost 0 inf + 86520
496.288 * * [simplify]: Extracting #12: cost 0 inf + 86349
496.309 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
496.309 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
496.310 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
496.310 * * [simplify]: iters left: 6 (24 enodes)
496.316 * * [simplify]: iters left: 5 (112 enodes)
496.339 * * [simplify]: iters left: 4 (336 enodes)
496.469 * * [simplify]: Extracting #0: cost 1 inf + 0
496.469 * * [simplify]: Extracting #1: cost 3 inf + 0
496.469 * * [simplify]: Extracting #2: cost 60 inf + 0
496.470 * * [simplify]: Extracting #3: cost 399 inf + 0
496.472 * * [simplify]: Extracting #4: cost 581 inf + 331
496.480 * * [simplify]: Extracting #5: cost 418 inf + 44530
496.511 * * [simplify]: Extracting #6: cost 97 inf + 165452
496.554 * * [simplify]: Extracting #7: cost 6 inf + 201791
496.597 * * [simplify]: Extracting #8: cost 0 inf + 199333
496.640 * * [simplify]: Extracting #9: cost 0 inf + 198853
496.683 * [simplify]: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))
496.683 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))))
496.684 * * * * [progress]: [ 667 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
496.684 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
496.685 * * [simplify]: iters left: 6 (48 enodes)
496.698 * * [simplify]: iters left: 5 (236 enodes)
496.748 * * [simplify]: Extracting #0: cost 1 inf + 0
496.748 * * [simplify]: Extracting #1: cost 3 inf + 0
496.748 * * [simplify]: Extracting #2: cost 6 inf + 0
496.748 * * [simplify]: Extracting #3: cost 48 inf + 0
496.749 * * [simplify]: Extracting #4: cost 127 inf + 0
496.749 * * [simplify]: Extracting #5: cost 167 inf + 333
496.753 * * [simplify]: Extracting #6: cost 191 inf + 7026
496.756 * * [simplify]: Extracting #7: cost 183 inf + 11651
496.759 * * [simplify]: Extracting #8: cost 137 inf + 19675
496.766 * * [simplify]: Extracting #9: cost 74 inf + 42945
496.780 * * [simplify]: Extracting #10: cost 6 inf + 91178
496.799 * * [simplify]: Extracting #11: cost 0 inf + 93588
496.818 * * [simplify]: Extracting #12: cost 0 inf + 93286
496.838 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))
496.838 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
496.838 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
496.839 * * [simplify]: iters left: 6 (25 enodes)
496.846 * * [simplify]: iters left: 5 (116 enodes)
496.867 * * [simplify]: iters left: 4 (334 enodes)
496.999 * * [simplify]: Extracting #0: cost 1 inf + 0
496.999 * * [simplify]: Extracting #1: cost 3 inf + 0
496.999 * * [simplify]: Extracting #2: cost 77 inf + 0
497.000 * * [simplify]: Extracting #3: cost 373 inf + 0
497.001 * * [simplify]: Extracting #4: cost 475 inf + 780
497.016 * * [simplify]: Extracting #5: cost 246 inf + 86169
497.050 * * [simplify]: Extracting #6: cost 12 inf + 163961
497.088 * * [simplify]: Extracting #7: cost 0 inf + 157764
497.122 * * [simplify]: Extracting #8: cost 0 inf + 157364
497.157 * [simplify]: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))))
497.158 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)))))))
497.158 * * * * [progress]: [ 668 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
497.159 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
497.159 * * [simplify]: iters left: 6 (48 enodes)
497.172 * * [simplify]: iters left: 5 (236 enodes)
497.221 * * [simplify]: Extracting #0: cost 1 inf + 0
497.221 * * [simplify]: Extracting #1: cost 3 inf + 0
497.222 * * [simplify]: Extracting #2: cost 6 inf + 0
497.222 * * [simplify]: Extracting #3: cost 50 inf + 0
497.222 * * [simplify]: Extracting #4: cost 125 inf + 0
497.225 * * [simplify]: Extracting #5: cost 164 inf + 381
497.226 * * [simplify]: Extracting #6: cost 196 inf + 5983
497.228 * * [simplify]: Extracting #7: cost 184 inf + 10853
497.232 * * [simplify]: Extracting #8: cost 112 inf + 28010
497.244 * * [simplify]: Extracting #9: cost 19 inf + 78707
497.262 * * [simplify]: Extracting #10: cost 2 inf + 87861
497.282 * * [simplify]: Extracting #11: cost 0 inf + 90118
497.301 * * [simplify]: Extracting #12: cost 0 inf + 90038
497.319 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
497.320 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
497.320 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
497.320 * * [simplify]: iters left: 6 (25 enodes)
497.328 * * [simplify]: iters left: 5 (116 enodes)
497.350 * * [simplify]: iters left: 4 (332 enodes)
497.470 * * [simplify]: Extracting #0: cost 1 inf + 0
497.470 * * [simplify]: Extracting #1: cost 3 inf + 0
497.470 * * [simplify]: Extracting #2: cost 68 inf + 0
497.471 * * [simplify]: Extracting #3: cost 368 inf + 0
497.473 * * [simplify]: Extracting #4: cost 430 inf + 2557
497.487 * * [simplify]: Extracting #5: cost 193 inf + 87788
497.519 * * [simplify]: Extracting #6: cost 4 inf + 152267
497.555 * * [simplify]: Extracting #7: cost 0 inf + 141597
497.587 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))
497.587 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ phi1 phi2) (* (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))))
497.587 * * * * [progress]: [ 669 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
497.588 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
497.588 * * [simplify]: iters left: 6 (42 enodes)
497.601 * * [simplify]: iters left: 5 (199 enodes)
497.642 * * [simplify]: Extracting #0: cost 1 inf + 0
497.642 * * [simplify]: Extracting #1: cost 3 inf + 0
497.643 * * [simplify]: Extracting #2: cost 6 inf + 0
497.643 * * [simplify]: Extracting #3: cost 42 inf + 0
497.643 * * [simplify]: Extracting #4: cost 94 inf + 0
497.643 * * [simplify]: Extracting #5: cost 118 inf + 45
497.644 * * [simplify]: Extracting #6: cost 171 inf + 1275
497.645 * * [simplify]: Extracting #7: cost 165 inf + 4616
497.648 * * [simplify]: Extracting #8: cost 84 inf + 25484
497.659 * * [simplify]: Extracting #9: cost 21 inf + 62545
497.673 * * [simplify]: Extracting #10: cost 1 inf + 69138
497.688 * * [simplify]: Extracting #11: cost 0 inf + 67779
497.703 * * [simplify]: Extracting #12: cost 0 inf + 67459
497.720 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1)))))))
497.720 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
497.721 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))
497.721 * * [simplify]: iters left: 6 (20 enodes)
497.726 * * [simplify]: iters left: 5 (95 enodes)
497.744 * * [simplify]: iters left: 4 (278 enodes)
497.829 * * [simplify]: Extracting #0: cost 1 inf + 0
497.829 * * [simplify]: Extracting #1: cost 3 inf + 0
497.829 * * [simplify]: Extracting #2: cost 39 inf + 0
497.829 * * [simplify]: Extracting #3: cost 240 inf + 0
497.830 * * [simplify]: Extracting #4: cost 288 inf + 209
497.836 * * [simplify]: Extracting #5: cost 176 inf + 33135
497.857 * * [simplify]: Extracting #6: cost 11 inf + 85411
497.875 * * [simplify]: Extracting #7: cost 0 inf + 80284
497.893 * * [simplify]: Extracting #8: cost 0 inf + 79484
497.911 * [simplify]: Simplified to (sqrt (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi1 phi2)) (+ phi1 phi2)))
497.911 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi1 phi2)) (+ phi1 phi2))))))
497.912 * * * * [progress]: [ 670 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
497.912 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
497.912 * * [simplify]: iters left: 6 (47 enodes)
497.927 * * [simplify]: iters left: 5 (228 enodes)
497.975 * * [simplify]: Extracting #0: cost 1 inf + 0
497.975 * * [simplify]: Extracting #1: cost 3 inf + 0
497.975 * * [simplify]: Extracting #2: cost 10 inf + 0
497.975 * * [simplify]: Extracting #3: cost 62 inf + 0
497.975 * * [simplify]: Extracting #4: cost 115 inf + 1
497.976 * * [simplify]: Extracting #5: cost 142 inf + 169
497.976 * * [simplify]: Extracting #6: cost 193 inf + 2889
497.978 * * [simplify]: Extracting #7: cost 188 inf + 6337
497.981 * * [simplify]: Extracting #8: cost 120 inf + 21545
497.990 * * [simplify]: Extracting #9: cost 42 inf + 57322
498.004 * * [simplify]: Extracting #10: cost 15 inf + 73233
498.024 * * [simplify]: Extracting #11: cost 1 inf + 82228
498.041 * * [simplify]: Extracting #12: cost 0 inf + 82773
498.059 * * [simplify]: Extracting #13: cost 0 inf + 82733
498.076 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
498.076 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
498.077 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
498.077 * * [simplify]: iters left: 6 (23 enodes)
498.082 * * [simplify]: iters left: 5 (108 enodes)
498.102 * * [simplify]: iters left: 4 (283 enodes)
498.193 * * [simplify]: Extracting #0: cost 1 inf + 0
498.193 * * [simplify]: Extracting #1: cost 3 inf + 0
498.193 * * [simplify]: Extracting #2: cost 56 inf + 0
498.194 * * [simplify]: Extracting #3: cost 217 inf + 0
498.195 * * [simplify]: Extracting #4: cost 278 inf + 451
498.200 * * [simplify]: Extracting #5: cost 185 inf + 31863
498.219 * * [simplify]: Extracting #6: cost 18 inf + 90141
498.244 * * [simplify]: Extracting #7: cost 0 inf + 86316
498.266 * * [simplify]: Extracting #8: cost 0 inf + 84556
498.286 * [simplify]: Simplified to (sqrt (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))
498.286 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))
498.287 * * * * [progress]: [ 671 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
498.287 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
498.287 * * [simplify]: iters left: 6 (42 enodes)
498.299 * * [simplify]: iters left: 5 (200 enodes)
498.341 * * [simplify]: Extracting #0: cost 1 inf + 0
498.341 * * [simplify]: Extracting #1: cost 3 inf + 0
498.341 * * [simplify]: Extracting #2: cost 10 inf + 0
498.341 * * [simplify]: Extracting #3: cost 50 inf + 0
498.341 * * [simplify]: Extracting #4: cost 88 inf + 86
498.342 * * [simplify]: Extracting #5: cost 97 inf + 1473
498.343 * * [simplify]: Extracting #6: cost 156 inf + 2933
498.344 * * [simplify]: Extracting #7: cost 160 inf + 4615
498.346 * * [simplify]: Extracting #8: cost 114 inf + 14027
498.352 * * [simplify]: Extracting #9: cost 56 inf + 33470
498.362 * * [simplify]: Extracting #10: cost 16 inf + 54535
498.375 * * [simplify]: Extracting #11: cost 0 inf + 63474
498.388 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
498.388 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
498.389 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
498.389 * * [simplify]: iters left: 6 (19 enodes)
498.394 * * [simplify]: iters left: 5 (90 enodes)
498.413 * * [simplify]: iters left: 4 (230 enodes)
498.478 * * [simplify]: Extracting #0: cost 1 inf + 0
498.478 * * [simplify]: Extracting #1: cost 3 inf + 0
498.478 * * [simplify]: Extracting #2: cost 27 inf + 0
498.478 * * [simplify]: Extracting #3: cost 97 inf + 0
498.478 * * [simplify]: Extracting #4: cost 132 inf + 45
498.479 * * [simplify]: Extracting #5: cost 119 inf + 2638
498.485 * * [simplify]: Extracting #6: cost 24 inf + 29122
498.494 * * [simplify]: Extracting #7: cost 0 inf + 34105
498.503 * * [simplify]: Extracting #8: cost 0 inf + 31905
498.511 * [simplify]: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi1 phi2)))
498.511 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi1 phi2))))))
498.511 * * * * [progress]: [ 672 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
498.512 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
498.512 * * [simplify]: iters left: 6 (47 enodes)
498.524 * * [simplify]: iters left: 5 (228 enodes)
498.577 * * [simplify]: Extracting #0: cost 1 inf + 0
498.577 * * [simplify]: Extracting #1: cost 3 inf + 0
498.577 * * [simplify]: Extracting #2: cost 10 inf + 0
498.577 * * [simplify]: Extracting #3: cost 62 inf + 0
498.578 * * [simplify]: Extracting #4: cost 115 inf + 1
498.578 * * [simplify]: Extracting #5: cost 140 inf + 423
498.579 * * [simplify]: Extracting #6: cost 189 inf + 4705
498.580 * * [simplify]: Extracting #7: cost 188 inf + 6731
498.583 * * [simplify]: Extracting #8: cost 116 inf + 22615
498.593 * * [simplify]: Extracting #9: cost 42 inf + 57282
498.607 * * [simplify]: Extracting #10: cost 14 inf + 74155
498.625 * * [simplify]: Extracting #11: cost 1 inf + 83108
498.645 * * [simplify]: Extracting #12: cost 0 inf + 83733
498.663 * * [simplify]: Extracting #13: cost 0 inf + 83693
498.680 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
498.680 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
498.681 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
498.681 * * [simplify]: iters left: 6 (23 enodes)
498.687 * * [simplify]: iters left: 5 (108 enodes)
498.707 * * [simplify]: iters left: 4 (283 enodes)
498.799 * * [simplify]: Extracting #0: cost 1 inf + 0
498.799 * * [simplify]: Extracting #1: cost 3 inf + 0
498.799 * * [simplify]: Extracting #2: cost 56 inf + 0
498.800 * * [simplify]: Extracting #3: cost 217 inf + 0
498.801 * * [simplify]: Extracting #4: cost 278 inf + 451
498.806 * * [simplify]: Extracting #5: cost 185 inf + 31863
498.824 * * [simplify]: Extracting #6: cost 18 inf + 90141
498.847 * * [simplify]: Extracting #7: cost 0 inf + 86316
498.868 * * [simplify]: Extracting #8: cost 0 inf + 84556
498.893 * [simplify]: Simplified to (sqrt (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))
498.893 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))
498.893 * * * * [progress]: [ 673 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
498.894 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
498.894 * * [simplify]: iters left: 6 (42 enodes)
498.906 * * [simplify]: iters left: 5 (200 enodes)
498.945 * * [simplify]: Extracting #0: cost 1 inf + 0
498.945 * * [simplify]: Extracting #1: cost 3 inf + 0
498.945 * * [simplify]: Extracting #2: cost 10 inf + 0
498.945 * * [simplify]: Extracting #3: cost 49 inf + 0
498.945 * * [simplify]: Extracting #4: cost 89 inf + 44
498.946 * * [simplify]: Extracting #5: cost 102 inf + 783
498.947 * * [simplify]: Extracting #6: cost 157 inf + 2771
498.948 * * [simplify]: Extracting #7: cost 160 inf + 4615
498.953 * * [simplify]: Extracting #8: cost 99 inf + 17239
498.961 * * [simplify]: Extracting #9: cost 35 inf + 47708
498.974 * * [simplify]: Extracting #10: cost 1 inf + 65455
498.987 * * [simplify]: Extracting #11: cost 0 inf + 63794
499.000 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
499.001 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
499.001 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
499.001 * * [simplify]: iters left: 6 (19 enodes)
499.006 * * [simplify]: iters left: 5 (90 enodes)
499.022 * * [simplify]: iters left: 4 (230 enodes)
499.086 * * [simplify]: Extracting #0: cost 1 inf + 0
499.086 * * [simplify]: Extracting #1: cost 3 inf + 0
499.086 * * [simplify]: Extracting #2: cost 27 inf + 0
499.086 * * [simplify]: Extracting #3: cost 97 inf + 0
499.087 * * [simplify]: Extracting #4: cost 132 inf + 45
499.087 * * [simplify]: Extracting #5: cost 119 inf + 2638
499.094 * * [simplify]: Extracting #6: cost 24 inf + 29122
499.105 * * [simplify]: Extracting #7: cost 0 inf + 34105
499.113 * * [simplify]: Extracting #8: cost 0 inf + 31905
499.121 * [simplify]: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi1 phi2)))
499.121 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi1 phi2))))))
499.122 * * * * [progress]: [ 674 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
499.122 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
499.122 * * [simplify]: iters left: 6 (51 enodes)
499.136 * * [simplify]: iters left: 5 (252 enodes)
499.194 * * [simplify]: Extracting #0: cost 1 inf + 0
499.195 * * [simplify]: Extracting #1: cost 3 inf + 0
499.195 * * [simplify]: Extracting #2: cost 6 inf + 0
499.195 * * [simplify]: Extracting #3: cost 52 inf + 0
499.195 * * [simplify]: Extracting #4: cost 120 inf + 0
499.195 * * [simplify]: Extracting #5: cost 189 inf + 0
499.196 * * [simplify]: Extracting #6: cost 267 inf + 1015
499.198 * * [simplify]: Extracting #7: cost 236 inf + 7055
499.202 * * [simplify]: Extracting #8: cost 138 inf + 27973
499.211 * * [simplify]: Extracting #9: cost 81 inf + 48260
499.223 * * [simplify]: Extracting #10: cost 43 inf + 65252
499.240 * * [simplify]: Extracting #11: cost 12 inf + 91745
499.260 * * [simplify]: Extracting #12: cost 1 inf + 103060
499.284 * * [simplify]: Extracting #13: cost 0 inf + 104805
499.305 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))
499.305 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
499.306 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
499.306 * * [simplify]: iters left: 6 (26 enodes)
499.312 * * [simplify]: iters left: 5 (125 enodes)
499.337 * * [simplify]: iters left: 4 (366 enodes)
499.486 * * [simplify]: Extracting #0: cost 1 inf + 0
499.486 * * [simplify]: Extracting #1: cost 3 inf + 0
499.486 * * [simplify]: Extracting #2: cost 39 inf + 0
499.487 * * [simplify]: Extracting #3: cost 261 inf + 0
499.488 * * [simplify]: Extracting #4: cost 444 inf + 86
499.491 * * [simplify]: Extracting #5: cost 415 inf + 10364
499.511 * * [simplify]: Extracting #6: cost 162 inf + 105968
499.560 * * [simplify]: Extracting #7: cost 5 inf + 183580
499.604 * * [simplify]: Extracting #8: cost 0 inf + 178756
499.648 * * [simplify]: Extracting #9: cost 0 inf + 178356
499.692 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))
499.693 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))))
499.693 * * * * [progress]: [ 675 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
499.693 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
499.694 * * [simplify]: iters left: 6 (52 enodes)
499.707 * * [simplify]: iters left: 5 (261 enodes)
499.765 * * [simplify]: Extracting #0: cost 1 inf + 0
499.765 * * [simplify]: Extracting #1: cost 3 inf + 0
499.765 * * [simplify]: Extracting #2: cost 6 inf + 0
499.765 * * [simplify]: Extracting #3: cost 55 inf + 0
499.766 * * [simplify]: Extracting #4: cost 142 inf + 0
499.766 * * [simplify]: Extracting #5: cost 201 inf + 85
499.767 * * [simplify]: Extracting #6: cost 243 inf + 4563
499.770 * * [simplify]: Extracting #7: cost 223 inf + 10546
499.774 * * [simplify]: Extracting #8: cost 141 inf + 27916
499.784 * * [simplify]: Extracting #9: cost 54 inf + 61844
499.802 * * [simplify]: Extracting #10: cost 8 inf + 97018
499.826 * * [simplify]: Extracting #11: cost 1 inf + 105513
499.849 * * [simplify]: Extracting #12: cost 0 inf + 107338
499.871 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
499.871 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
499.872 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
499.872 * * [simplify]: iters left: 6 (27 enodes)
499.878 * * [simplify]: iters left: 5 (129 enodes)
499.904 * * [simplify]: iters left: 4 (362 enodes)
500.048 * * [simplify]: Extracting #0: cost 1 inf + 0
500.048 * * [simplify]: Extracting #1: cost 3 inf + 0
500.048 * * [simplify]: Extracting #2: cost 64 inf + 0
500.049 * * [simplify]: Extracting #3: cost 281 inf + 0
500.050 * * [simplify]: Extracting #4: cost 390 inf + 127
500.053 * * [simplify]: Extracting #5: cost 383 inf + 4718
500.061 * * [simplify]: Extracting #6: cost 239 inf + 48314
500.089 * * [simplify]: Extracting #7: cost 49 inf + 141436
500.132 * * [simplify]: Extracting #8: cost 0 inf + 163906
500.174 * * [simplify]: Extracting #9: cost 0 inf + 160466
500.214 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))
500.215 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))))))
500.215 * * * * [progress]: [ 676 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
500.215 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
500.216 * * [simplify]: iters left: 6 (52 enodes)
500.230 * * [simplify]: iters left: 5 (261 enodes)
500.290 * * [simplify]: Extracting #0: cost 1 inf + 0
500.290 * * [simplify]: Extracting #1: cost 3 inf + 0
500.290 * * [simplify]: Extracting #2: cost 6 inf + 0
500.290 * * [simplify]: Extracting #3: cost 57 inf + 0
500.290 * * [simplify]: Extracting #4: cost 140 inf + 0
500.291 * * [simplify]: Extracting #5: cost 197 inf + 85
500.292 * * [simplify]: Extracting #6: cost 243 inf + 4517
500.294 * * [simplify]: Extracting #7: cost 220 inf + 11556
500.298 * * [simplify]: Extracting #8: cost 164 inf + 19759
500.304 * * [simplify]: Extracting #9: cost 100 inf + 40333
500.316 * * [simplify]: Extracting #10: cost 43 inf + 67775
500.334 * * [simplify]: Extracting #11: cost 9 inf + 95065
500.355 * * [simplify]: Extracting #12: cost 0 inf + 105130
500.379 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))
500.379 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
500.380 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
500.380 * * [simplify]: iters left: 6 (27 enodes)
500.386 * * [simplify]: iters left: 5 (129 enodes)
500.412 * * [simplify]: iters left: 4 (360 enodes)
500.551 * * [simplify]: Extracting #0: cost 1 inf + 0
500.551 * * [simplify]: Extracting #1: cost 3 inf + 0
500.551 * * [simplify]: Extracting #2: cost 56 inf + 0
500.552 * * [simplify]: Extracting #3: cost 261 inf + 0
500.553 * * [simplify]: Extracting #4: cost 354 inf + 290
500.558 * * [simplify]: Extracting #5: cost 343 inf + 5730
500.571 * * [simplify]: Extracting #6: cost 172 inf + 66065
500.602 * * [simplify]: Extracting #7: cost 11 inf + 140974
500.639 * * [simplify]: Extracting #8: cost 0 inf + 140214
500.675 * * [simplify]: Extracting #9: cost 0 inf + 139494
500.710 * [simplify]: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
500.710 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (+ phi2 phi1) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
500.711 * * * * [progress]: [ 677 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
500.711 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
500.712 * * [simplify]: iters left: 6 (46 enodes)
500.724 * * [simplify]: iters left: 5 (225 enodes)
500.779 * * [simplify]: Extracting #0: cost 1 inf + 0
500.779 * * [simplify]: Extracting #1: cost 3 inf + 0
500.779 * * [simplify]: Extracting #2: cost 6 inf + 0
500.779 * * [simplify]: Extracting #3: cost 49 inf + 0
500.780 * * [simplify]: Extracting #4: cost 109 inf + 0
500.780 * * [simplify]: Extracting #5: cost 145 inf + 127
500.781 * * [simplify]: Extracting #6: cost 206 inf + 2084
500.782 * * [simplify]: Extracting #7: cost 204 inf + 3709
500.786 * * [simplify]: Extracting #8: cost 127 inf + 19621
500.793 * * [simplify]: Extracting #9: cost 72 inf + 39394
500.807 * * [simplify]: Extracting #10: cost 17 inf + 75215
500.825 * * [simplify]: Extracting #11: cost 0 inf + 87151
500.845 * * [simplify]: Extracting #12: cost 0 inf + 86551
500.864 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))))
500.864 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
500.864 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))
500.865 * * [simplify]: iters left: 6 (22 enodes)
500.870 * * [simplify]: iters left: 5 (107 enodes)
500.891 * * [simplify]: iters left: 4 (295 enodes)
500.978 * * [simplify]: Extracting #0: cost 1 inf + 0
500.978 * * [simplify]: Extracting #1: cost 3 inf + 0
500.979 * * [simplify]: Extracting #2: cost 34 inf + 0
500.979 * * [simplify]: Extracting #3: cost 149 inf + 0
500.979 * * [simplify]: Extracting #4: cost 216 inf + 127
500.981 * * [simplify]: Extracting #5: cost 242 inf + 3536
500.983 * * [simplify]: Extracting #6: cost 207 inf + 7848
500.990 * * [simplify]: Extracting #7: cost 96 inf + 36659
501.008 * * [simplify]: Extracting #8: cost 2 inf + 77803
501.027 * * [simplify]: Extracting #9: cost 0 inf + 78971
501.045 * * [simplify]: Extracting #10: cost 0 inf + 78931
501.067 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)))))
501.067 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ phi2 phi1))))))))
501.067 * * * * [progress]: [ 678 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
501.068 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
501.068 * * [simplify]: iters left: 6 (51 enodes)
501.083 * * [simplify]: iters left: 5 (253 enodes)
501.137 * * [simplify]: Extracting #0: cost 1 inf + 0
501.137 * * [simplify]: Extracting #1: cost 3 inf + 0
501.137 * * [simplify]: Extracting #2: cost 10 inf + 0
501.137 * * [simplify]: Extracting #3: cost 67 inf + 0
501.140 * * [simplify]: Extracting #4: cost 125 inf + 42
501.140 * * [simplify]: Extracting #5: cost 167 inf + 249
501.141 * * [simplify]: Extracting #6: cost 235 inf + 1759
501.143 * * [simplify]: Extracting #7: cost 221 inf + 6599
501.146 * * [simplify]: Extracting #8: cost 143 inf + 21929
501.152 * * [simplify]: Extracting #9: cost 86 inf + 38556
501.163 * * [simplify]: Extracting #10: cost 43 inf + 63051
501.182 * * [simplify]: Extracting #11: cost 4 inf + 95576
501.203 * * [simplify]: Extracting #12: cost 1 inf + 100291
501.224 * * [simplify]: Extracting #13: cost 0 inf + 102156
501.247 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))
501.247 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
501.248 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
501.248 * * [simplify]: iters left: 6 (25 enodes)
501.254 * * [simplify]: iters left: 5 (120 enodes)
501.276 * * [simplify]: iters left: 4 (308 enodes)
501.364 * * [simplify]: Extracting #0: cost 1 inf + 0
501.364 * * [simplify]: Extracting #1: cost 3 inf + 0
501.364 * * [simplify]: Extracting #2: cost 31 inf + 0
501.365 * * [simplify]: Extracting #3: cost 115 inf + 0
501.368 * * [simplify]: Extracting #4: cost 202 inf + 85
501.369 * * [simplify]: Extracting #5: cost 239 inf + 861
501.374 * * [simplify]: Extracting #6: cost 147 inf + 27809
501.393 * * [simplify]: Extracting #7: cost 10 inf + 79979
501.414 * * [simplify]: Extracting #8: cost 0 inf + 79095
501.434 * * [simplify]: Extracting #9: cost 0 inf + 78375
501.454 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))
501.454 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))
501.455 * * * * [progress]: [ 679 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
501.455 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
501.455 * * [simplify]: iters left: 6 (46 enodes)
501.469 * * [simplify]: iters left: 5 (225 enodes)
501.514 * * [simplify]: Extracting #0: cost 1 inf + 0
501.514 * * [simplify]: Extracting #1: cost 3 inf + 0
501.514 * * [simplify]: Extracting #2: cost 10 inf + 0
501.514 * * [simplify]: Extracting #3: cost 59 inf + 0
501.514 * * [simplify]: Extracting #4: cost 106 inf + 44
501.515 * * [simplify]: Extracting #5: cost 133 inf + 822
501.516 * * [simplify]: Extracting #6: cost 200 inf + 2648
501.517 * * [simplify]: Extracting #7: cost 204 inf + 3343
501.521 * * [simplify]: Extracting #8: cost 118 inf + 27040
501.530 * * [simplify]: Extracting #9: cost 39 inf + 56721
501.547 * * [simplify]: Extracting #10: cost 6 inf + 79332
501.565 * * [simplify]: Extracting #11: cost 0 inf + 83856
501.582 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))
501.582 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
501.583 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))
501.583 * * [simplify]: iters left: 6 (21 enodes)
501.588 * * [simplify]: iters left: 5 (102 enodes)
501.608 * * [simplify]: iters left: 4 (255 enodes)
501.668 * * [simplify]: Extracting #0: cost 1 inf + 0
501.668 * * [simplify]: Extracting #1: cost 3 inf + 0
501.669 * * [simplify]: Extracting #2: cost 22 inf + 0
501.669 * * [simplify]: Extracting #3: cost 60 inf + 0
501.669 * * [simplify]: Extracting #4: cost 115 inf + 2
501.669 * * [simplify]: Extracting #5: cost 165 inf + 44
501.670 * * [simplify]: Extracting #6: cost 155 inf + 378
501.672 * * [simplify]: Extracting #7: cost 90 inf + 9987
501.680 * * [simplify]: Extracting #8: cost 15 inf + 34217
501.692 * * [simplify]: Extracting #9: cost 1 inf + 40504
501.705 * * [simplify]: Extracting #10: cost 0 inf + 40987
501.715 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
501.715 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))))
501.715 * * * * [progress]: [ 680 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
501.716 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
501.716 * * [simplify]: iters left: 6 (51 enodes)
501.730 * * [simplify]: iters left: 5 (253 enodes)
501.786 * * [simplify]: Extracting #0: cost 1 inf + 0
501.786 * * [simplify]: Extracting #1: cost 3 inf + 0
501.786 * * [simplify]: Extracting #2: cost 10 inf + 0
501.787 * * [simplify]: Extracting #3: cost 67 inf + 0
501.787 * * [simplify]: Extracting #4: cost 125 inf + 42
501.787 * * [simplify]: Extracting #5: cost 167 inf + 248
501.788 * * [simplify]: Extracting #6: cost 235 inf + 1679
501.790 * * [simplify]: Extracting #7: cost 221 inf + 6358
501.793 * * [simplify]: Extracting #8: cost 140 inf + 23766
501.800 * * [simplify]: Extracting #9: cost 76 inf + 45023
501.815 * * [simplify]: Extracting #10: cost 27 inf + 78474
501.835 * * [simplify]: Extracting #11: cost 3 inf + 96041
501.859 * * [simplify]: Extracting #12: cost 1 inf + 99571
501.880 * * [simplify]: Extracting #13: cost 0 inf + 101356
501.901 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))))))
501.902 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
501.902 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
501.902 * * [simplify]: iters left: 6 (25 enodes)
501.908 * * [simplify]: iters left: 5 (120 enodes)
501.931 * * [simplify]: iters left: 4 (308 enodes)
502.022 * * [simplify]: Extracting #0: cost 1 inf + 0
502.022 * * [simplify]: Extracting #1: cost 3 inf + 0
502.022 * * [simplify]: Extracting #2: cost 31 inf + 0
502.022 * * [simplify]: Extracting #3: cost 115 inf + 0
502.023 * * [simplify]: Extracting #4: cost 202 inf + 85
502.024 * * [simplify]: Extracting #5: cost 239 inf + 861
502.029 * * [simplify]: Extracting #6: cost 147 inf + 27809
502.047 * * [simplify]: Extracting #7: cost 10 inf + 79979
502.067 * * [simplify]: Extracting #8: cost 0 inf + 79095
502.089 * * [simplify]: Extracting #9: cost 0 inf + 78375
502.109 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))
502.109 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))
502.110 * * * * [progress]: [ 681 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
502.110 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
502.110 * * [simplify]: iters left: 6 (46 enodes)
502.123 * * [simplify]: iters left: 5 (225 enodes)
502.171 * * [simplify]: Extracting #0: cost 1 inf + 0
502.171 * * [simplify]: Extracting #1: cost 3 inf + 0
502.171 * * [simplify]: Extracting #2: cost 10 inf + 0
502.171 * * [simplify]: Extracting #3: cost 58 inf + 0
502.171 * * [simplify]: Extracting #4: cost 106 inf + 44
502.171 * * [simplify]: Extracting #5: cost 134 inf + 740
502.172 * * [simplify]: Extracting #6: cost 198 inf + 2932
502.173 * * [simplify]: Extracting #7: cost 205 inf + 3262
502.177 * * [simplify]: Extracting #8: cost 114 inf + 29315
502.187 * * [simplify]: Extracting #9: cost 40 inf + 56216
502.202 * * [simplify]: Extracting #10: cost 6 inf + 79732
502.219 * * [simplify]: Extracting #11: cost 0 inf + 84256
502.237 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))
502.237 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
502.238 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))
502.238 * * [simplify]: iters left: 6 (21 enodes)
502.243 * * [simplify]: iters left: 5 (102 enodes)
502.264 * * [simplify]: iters left: 4 (255 enodes)
502.328 * * [simplify]: Extracting #0: cost 1 inf + 0
502.328 * * [simplify]: Extracting #1: cost 3 inf + 0
502.328 * * [simplify]: Extracting #2: cost 22 inf + 0
502.328 * * [simplify]: Extracting #3: cost 60 inf + 0
502.328 * * [simplify]: Extracting #4: cost 115 inf + 2
502.329 * * [simplify]: Extracting #5: cost 165 inf + 44
502.329 * * [simplify]: Extracting #6: cost 155 inf + 378
502.332 * * [simplify]: Extracting #7: cost 90 inf + 9987
502.340 * * [simplify]: Extracting #8: cost 15 inf + 34217
502.350 * * [simplify]: Extracting #9: cost 1 inf + 40504
502.360 * * [simplify]: Extracting #10: cost 0 inf + 40987
502.370 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
502.371 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))))
502.371 * * * * [progress]: [ 682 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
502.371 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
502.372 * * [simplify]: iters left: 6 (52 enodes)
502.385 * * [simplify]: iters left: 5 (249 enodes)
502.440 * * [simplify]: Extracting #0: cost 1 inf + 0
502.440 * * [simplify]: Extracting #1: cost 3 inf + 0
502.440 * * [simplify]: Extracting #2: cost 6 inf + 0
502.440 * * [simplify]: Extracting #3: cost 46 inf + 0
502.440 * * [simplify]: Extracting #4: cost 112 inf + 0
502.440 * * [simplify]: Extracting #5: cost 183 inf + 0
502.441 * * [simplify]: Extracting #6: cost 266 inf + 45
502.442 * * [simplify]: Extracting #7: cost 230 inf + 6598
502.446 * * [simplify]: Extracting #8: cost 143 inf + 22129
502.452 * * [simplify]: Extracting #9: cost 90 inf + 38909
502.462 * * [simplify]: Extracting #10: cost 52 inf + 54779
502.475 * * [simplify]: Extracting #11: cost 36 inf + 65617
502.493 * * [simplify]: Extracting #12: cost 7 inf + 95422
502.514 * * [simplify]: Extracting #13: cost 1 inf + 103532
502.537 * * [simplify]: Extracting #14: cost 0 inf + 105357
502.558 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))
502.558 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
502.559 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
502.559 * * [simplify]: iters left: 6 (25 enodes)
502.565 * * [simplify]: iters left: 5 (116 enodes)
502.589 * * [simplify]: iters left: 4 (346 enodes)
502.737 * * [simplify]: Extracting #0: cost 1 inf + 0
502.737 * * [simplify]: Extracting #1: cost 3 inf + 0
502.737 * * [simplify]: Extracting #2: cost 41 inf + 0
502.738 * * [simplify]: Extracting #3: cost 268 inf + 0
502.739 * * [simplify]: Extracting #4: cost 442 inf + 126
502.742 * * [simplify]: Extracting #5: cost 429 inf + 5808
502.759 * * [simplify]: Extracting #6: cost 215 inf + 89729
502.807 * * [simplify]: Extracting #7: cost 15 inf + 189950
502.856 * * [simplify]: Extracting #8: cost 0 inf + 184764
502.903 * * [simplify]: Extracting #9: cost 0 inf + 183484
502.950 * * [simplify]: Extracting #10: cost 0 inf + 183404
502.997 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))
502.997 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))))))
502.998 * * * * [progress]: [ 683 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
502.998 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
502.999 * * [simplify]: iters left: 6 (53 enodes)
503.013 * * [simplify]: iters left: 5 (258 enodes)
503.069 * * [simplify]: Extracting #0: cost 1 inf + 0
503.070 * * [simplify]: Extracting #1: cost 3 inf + 0
503.070 * * [simplify]: Extracting #2: cost 6 inf + 0
503.070 * * [simplify]: Extracting #3: cost 50 inf + 0
503.070 * * [simplify]: Extracting #4: cost 135 inf + 0
503.070 * * [simplify]: Extracting #5: cost 197 inf + 44
503.072 * * [simplify]: Extracting #6: cost 241 inf + 4198
503.074 * * [simplify]: Extracting #7: cost 211 inf + 10370
503.078 * * [simplify]: Extracting #8: cost 139 inf + 24228
503.085 * * [simplify]: Extracting #9: cost 88 inf + 44301
503.096 * * [simplify]: Extracting #10: cost 46 inf + 61624
503.113 * * [simplify]: Extracting #11: cost 11 inf + 93339
503.136 * * [simplify]: Extracting #12: cost 0 inf + 105894
503.161 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
503.161 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
503.162 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
503.162 * * [simplify]: iters left: 6 (26 enodes)
503.168 * * [simplify]: iters left: 5 (120 enodes)
503.190 * * [simplify]: iters left: 4 (342 enodes)
503.331 * * [simplify]: Extracting #0: cost 1 inf + 0
503.331 * * [simplify]: Extracting #1: cost 3 inf + 0
503.331 * * [simplify]: Extracting #2: cost 63 inf + 0
503.332 * * [simplify]: Extracting #3: cost 276 inf + 0
503.333 * * [simplify]: Extracting #4: cost 375 inf + 574
503.339 * * [simplify]: Extracting #5: cost 351 inf + 10515
503.354 * * [simplify]: Extracting #6: cost 183 inf + 79834
503.391 * * [simplify]: Extracting #7: cost 12 inf + 161182
503.431 * * [simplify]: Extracting #8: cost 0 inf + 157348
503.471 * * [simplify]: Extracting #9: cost 0 inf + 156588
503.509 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))))
503.509 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)))))))
503.510 * * * * [progress]: [ 684 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
503.510 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
503.511 * * [simplify]: iters left: 6 (53 enodes)
503.525 * * [simplify]: iters left: 5 (258 enodes)
503.580 * * [simplify]: Extracting #0: cost 1 inf + 0
503.580 * * [simplify]: Extracting #1: cost 3 inf + 0
503.580 * * [simplify]: Extracting #2: cost 6 inf + 0
503.580 * * [simplify]: Extracting #3: cost 52 inf + 0
503.581 * * [simplify]: Extracting #4: cost 133 inf + 0
503.581 * * [simplify]: Extracting #5: cost 193 inf + 44
503.582 * * [simplify]: Extracting #6: cost 235 inf + 4922
503.585 * * [simplify]: Extracting #7: cost 207 inf + 11511
503.589 * * [simplify]: Extracting #8: cost 130 inf + 24907
503.597 * * [simplify]: Extracting #9: cost 64 inf + 49420
503.613 * * [simplify]: Extracting #10: cost 36 inf + 66506
503.630 * * [simplify]: Extracting #11: cost 7 inf + 94951
503.652 * * [simplify]: Extracting #12: cost 0 inf + 104526
503.674 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
503.674 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
503.675 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
503.675 * * [simplify]: iters left: 6 (26 enodes)
503.681 * * [simplify]: iters left: 5 (120 enodes)
503.705 * * [simplify]: iters left: 4 (340 enodes)
503.839 * * [simplify]: Extracting #0: cost 1 inf + 0
503.840 * * [simplify]: Extracting #1: cost 3 inf + 0
503.840 * * [simplify]: Extracting #2: cost 57 inf + 0
503.840 * * [simplify]: Extracting #3: cost 258 inf + 0
503.841 * * [simplify]: Extracting #4: cost 346 inf + 126
503.844 * * [simplify]: Extracting #5: cost 344 inf + 3503
503.855 * * [simplify]: Extracting #6: cost 173 inf + 67120
503.887 * * [simplify]: Extracting #7: cost 6 inf + 144202
503.927 * * [simplify]: Extracting #8: cost 0 inf + 138304
503.960 * * [simplify]: Extracting #9: cost 0 inf + 137744
503.994 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
503.994 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
503.995 * * * * [progress]: [ 685 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
503.995 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
503.995 * * [simplify]: iters left: 6 (47 enodes)
504.008 * * [simplify]: iters left: 5 (222 enodes)
504.052 * * [simplify]: Extracting #0: cost 1 inf + 0
504.052 * * [simplify]: Extracting #1: cost 3 inf + 0
504.052 * * [simplify]: Extracting #2: cost 6 inf + 0
504.052 * * [simplify]: Extracting #3: cost 47 inf + 0
504.052 * * [simplify]: Extracting #4: cost 107 inf + 0
504.053 * * [simplify]: Extracting #5: cost 146 inf + 44
504.053 * * [simplify]: Extracting #6: cost 210 inf + 1192
504.055 * * [simplify]: Extracting #7: cost 194 inf + 3798
504.057 * * [simplify]: Extracting #8: cost 159 inf + 8268
504.060 * * [simplify]: Extracting #9: cost 108 inf + 22037
504.070 * * [simplify]: Extracting #10: cost 51 inf + 45151
504.084 * * [simplify]: Extracting #11: cost 10 inf + 74511
504.101 * * [simplify]: Extracting #12: cost 0 inf + 85641
504.118 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
504.118 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
504.119 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
504.119 * * [simplify]: iters left: 6 (21 enodes)
504.124 * * [simplify]: iters left: 5 (98 enodes)
504.142 * * [simplify]: iters left: 4 (274 enodes)
504.226 * * [simplify]: Extracting #0: cost 1 inf + 0
504.226 * * [simplify]: Extracting #1: cost 3 inf + 0
504.226 * * [simplify]: Extracting #2: cost 34 inf + 0
504.226 * * [simplify]: Extracting #3: cost 148 inf + 0
504.227 * * [simplify]: Extracting #4: cost 207 inf + 291
504.229 * * [simplify]: Extracting #5: cost 213 inf + 3580
504.231 * * [simplify]: Extracting #6: cost 162 inf + 12407
504.241 * * [simplify]: Extracting #7: cost 82 inf + 42665
504.260 * * [simplify]: Extracting #8: cost 10 inf + 77238
504.280 * * [simplify]: Extracting #9: cost 0 inf + 75275
504.299 * * [simplify]: Extracting #10: cost 0 inf + 74195
504.320 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))
504.320 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))))))
504.321 * * * * [progress]: [ 686 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
504.321 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
504.322 * * [simplify]: iters left: 6 (52 enodes)
504.335 * * [simplify]: iters left: 5 (250 enodes)
504.390 * * [simplify]: Extracting #0: cost 1 inf + 0
504.390 * * [simplify]: Extracting #1: cost 3 inf + 0
504.391 * * [simplify]: Extracting #2: cost 10 inf + 0
504.391 * * [simplify]: Extracting #3: cost 63 inf + 0
504.391 * * [simplify]: Extracting #4: cost 122 inf + 1
504.391 * * [simplify]: Extracting #5: cost 165 inf + 207
504.392 * * [simplify]: Extracting #6: cost 234 inf + 1553
504.394 * * [simplify]: Extracting #7: cost 213 inf + 6042
504.397 * * [simplify]: Extracting #8: cost 138 inf + 21420
504.403 * * [simplify]: Extracting #9: cost 92 inf + 37198
504.414 * * [simplify]: Extracting #10: cost 37 inf + 62212
504.425 * * [simplify]: Extracting #11: cost 29 inf + 67812
504.442 * * [simplify]: Extracting #12: cost 5 inf + 90652
504.462 * * [simplify]: Extracting #13: cost 1 inf + 96832
504.483 * * [simplify]: Extracting #14: cost 0 inf + 98617
504.503 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
504.503 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
504.504 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
504.504 * * [simplify]: iters left: 6 (24 enodes)
504.510 * * [simplify]: iters left: 5 (111 enodes)
504.530 * * [simplify]: iters left: 4 (289 enodes)
504.618 * * [simplify]: Extracting #0: cost 1 inf + 0
504.618 * * [simplify]: Extracting #1: cost 3 inf + 0
504.618 * * [simplify]: Extracting #2: cost 31 inf + 0
504.618 * * [simplify]: Extracting #3: cost 114 inf + 0
504.619 * * [simplify]: Extracting #4: cost 194 inf + 290
504.620 * * [simplify]: Extracting #5: cost 217 inf + 1148
504.624 * * [simplify]: Extracting #6: cost 148 inf + 21683
504.641 * * [simplify]: Extracting #7: cost 16 inf + 77613
504.662 * * [simplify]: Extracting #8: cost 0 inf + 76300
504.681 * * [simplify]: Extracting #9: cost 0 inf + 75340
504.701 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))
504.701 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))))
504.701 * * * * [progress]: [ 687 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
504.702 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
504.702 * * [simplify]: iters left: 6 (47 enodes)
504.717 * * [simplify]: iters left: 5 (222 enodes)
504.761 * * [simplify]: Extracting #0: cost 1 inf + 0
504.762 * * [simplify]: Extracting #1: cost 3 inf + 0
504.762 * * [simplify]: Extracting #2: cost 10 inf + 0
504.762 * * [simplify]: Extracting #3: cost 58 inf + 0
504.762 * * [simplify]: Extracting #4: cost 104 inf + 44
504.762 * * [simplify]: Extracting #5: cost 131 inf + 942
504.763 * * [simplify]: Extracting #6: cost 195 inf + 2972
504.765 * * [simplify]: Extracting #7: cost 197 inf + 3344
504.767 * * [simplify]: Extracting #8: cost 143 inf + 15303
504.775 * * [simplify]: Extracting #9: cost 69 inf + 42880
504.787 * * [simplify]: Extracting #10: cost 24 inf + 58736
504.801 * * [simplify]: Extracting #11: cost 4 inf + 76183
504.817 * * [simplify]: Extracting #12: cost 1 inf + 80218
504.835 * * [simplify]: Extracting #13: cost 0 inf + 81803
504.856 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))
504.856 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
504.857 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
504.857 * * [simplify]: iters left: 6 (20 enodes)
504.862 * * [simplify]: iters left: 5 (93 enodes)
504.879 * * [simplify]: iters left: 4 (234 enodes)
504.937 * * [simplify]: Extracting #0: cost 1 inf + 0
504.937 * * [simplify]: Extracting #1: cost 3 inf + 0
504.937 * * [simplify]: Extracting #2: cost 23 inf + 0
504.937 * * [simplify]: Extracting #3: cost 61 inf + 0
504.937 * * [simplify]: Extracting #4: cost 110 inf + 2
504.938 * * [simplify]: Extracting #5: cost 141 inf + 44
504.939 * * [simplify]: Extracting #6: cost 116 inf + 2684
504.945 * * [simplify]: Extracting #7: cost 40 inf + 24945
504.955 * * [simplify]: Extracting #8: cost 0 inf + 40421
504.965 * * [simplify]: Extracting #9: cost 0 inf + 37301
504.975 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))
504.975 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))))
504.976 * * * * [progress]: [ 688 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
504.976 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
504.976 * * [simplify]: iters left: 6 (52 enodes)
504.990 * * [simplify]: iters left: 5 (250 enodes)
505.044 * * [simplify]: Extracting #0: cost 1 inf + 0
505.044 * * [simplify]: Extracting #1: cost 3 inf + 0
505.044 * * [simplify]: Extracting #2: cost 10 inf + 0
505.044 * * [simplify]: Extracting #3: cost 63 inf + 0
505.044 * * [simplify]: Extracting #4: cost 122 inf + 1
505.045 * * [simplify]: Extracting #5: cost 165 inf + 207
505.046 * * [simplify]: Extracting #6: cost 232 inf + 1636
505.047 * * [simplify]: Extracting #7: cost 212 inf + 5942
505.050 * * [simplify]: Extracting #8: cost 138 inf + 21893
505.057 * * [simplify]: Extracting #9: cost 90 inf + 39326
505.067 * * [simplify]: Extracting #10: cost 37 inf + 63172
505.078 * * [simplify]: Extracting #11: cost 29 inf + 68772
505.095 * * [simplify]: Extracting #12: cost 5 inf + 91612
505.117 * * [simplify]: Extracting #13: cost 1 inf + 97792
505.138 * * [simplify]: Extracting #14: cost 0 inf + 99577
505.157 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
505.158 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
505.158 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
505.158 * * [simplify]: iters left: 6 (24 enodes)
505.164 * * [simplify]: iters left: 5 (111 enodes)
505.186 * * [simplify]: iters left: 4 (289 enodes)
505.271 * * [simplify]: Extracting #0: cost 1 inf + 0
505.272 * * [simplify]: Extracting #1: cost 3 inf + 0
505.272 * * [simplify]: Extracting #2: cost 31 inf + 0
505.272 * * [simplify]: Extracting #3: cost 114 inf + 0
505.273 * * [simplify]: Extracting #4: cost 194 inf + 290
505.274 * * [simplify]: Extracting #5: cost 217 inf + 1148
505.278 * * [simplify]: Extracting #6: cost 148 inf + 21683
505.294 * * [simplify]: Extracting #7: cost 16 inf + 77613
505.314 * * [simplify]: Extracting #8: cost 0 inf + 76300
505.334 * * [simplify]: Extracting #9: cost 0 inf + 75340
505.355 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))
505.355 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))))
505.356 * * * * [progress]: [ 689 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
505.356 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
505.356 * * [simplify]: iters left: 6 (47 enodes)
505.369 * * [simplify]: iters left: 5 (222 enodes)
505.412 * * [simplify]: Extracting #0: cost 1 inf + 0
505.412 * * [simplify]: Extracting #1: cost 3 inf + 0
505.413 * * [simplify]: Extracting #2: cost 10 inf + 0
505.413 * * [simplify]: Extracting #3: cost 57 inf + 0
505.413 * * [simplify]: Extracting #4: cost 103 inf + 86
505.413 * * [simplify]: Extracting #5: cost 123 inf + 1998
505.414 * * [simplify]: Extracting #6: cost 195 inf + 2932
505.416 * * [simplify]: Extracting #7: cost 197 inf + 3344
505.422 * * [simplify]: Extracting #8: cost 114 inf + 26656
505.432 * * [simplify]: Extracting #9: cost 32 inf + 58497
505.446 * * [simplify]: Extracting #10: cost 5 inf + 76011
505.462 * * [simplify]: Extracting #11: cost 1 inf + 79978
505.479 * * [simplify]: Extracting #12: cost 0 inf + 81523
505.496 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))
505.497 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
505.497 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
505.498 * * [simplify]: iters left: 6 (20 enodes)
505.502 * * [simplify]: iters left: 5 (93 enodes)
505.521 * * [simplify]: iters left: 4 (234 enodes)
505.577 * * [simplify]: Extracting #0: cost 1 inf + 0
505.577 * * [simplify]: Extracting #1: cost 3 inf + 0
505.577 * * [simplify]: Extracting #2: cost 23 inf + 0
505.579 * * [simplify]: Extracting #3: cost 61 inf + 0
505.579 * * [simplify]: Extracting #4: cost 110 inf + 2
505.580 * * [simplify]: Extracting #5: cost 141 inf + 44
505.580 * * [simplify]: Extracting #6: cost 116 inf + 2684
505.586 * * [simplify]: Extracting #7: cost 40 inf + 24945
505.596 * * [simplify]: Extracting #8: cost 0 inf + 40421
505.606 * * [simplify]: Extracting #9: cost 0 inf + 37301
505.616 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))
505.616 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))))
505.616 * * * * [progress]: [ 690 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
505.617 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
505.617 * * [simplify]: iters left: 6 (52 enodes)
505.631 * * [simplify]: iters left: 5 (249 enodes)
505.685 * * [simplify]: Extracting #0: cost 1 inf + 0
505.686 * * [simplify]: Extracting #1: cost 3 inf + 0
505.686 * * [simplify]: Extracting #2: cost 6 inf + 0
505.686 * * [simplify]: Extracting #3: cost 46 inf + 0
505.686 * * [simplify]: Extracting #4: cost 112 inf + 0
505.686 * * [simplify]: Extracting #5: cost 179 inf + 0
505.687 * * [simplify]: Extracting #6: cost 259 inf + 211
505.689 * * [simplify]: Extracting #7: cost 210 inf + 9461
505.693 * * [simplify]: Extracting #8: cost 134 inf + 24654
505.700 * * [simplify]: Extracting #9: cost 83 inf + 43862
505.710 * * [simplify]: Extracting #10: cost 45 inf + 58882
505.727 * * [simplify]: Extracting #11: cost 7 inf + 96912
505.752 * * [simplify]: Extracting #12: cost 0 inf + 106127
505.773 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))
505.773 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
505.774 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
505.774 * * [simplify]: iters left: 6 (25 enodes)
505.780 * * [simplify]: iters left: 5 (116 enodes)
505.802 * * [simplify]: iters left: 4 (346 enodes)
505.953 * * [simplify]: Extracting #0: cost 1 inf + 0
505.953 * * [simplify]: Extracting #1: cost 3 inf + 0
505.953 * * [simplify]: Extracting #2: cost 41 inf + 0
505.954 * * [simplify]: Extracting #3: cost 268 inf + 0
505.955 * * [simplify]: Extracting #4: cost 438 inf + 126
505.958 * * [simplify]: Extracting #5: cost 406 inf + 8616
505.974 * * [simplify]: Extracting #6: cost 200 inf + 83792
506.016 * * [simplify]: Extracting #7: cost 8 inf + 175694
506.062 * * [simplify]: Extracting #8: cost 0 inf + 175644
506.105 * * [simplify]: Extracting #9: cost 0 inf + 175084
506.152 * * [simplify]: Extracting #10: cost 0 inf + 175004
506.195 * [simplify]: Simplified to (sqrt (* (cbrt (+ lambda1 lambda2)) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))
506.195 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (+ lambda1 lambda2)) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))))))
506.196 * * * * [progress]: [ 691 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
506.196 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
506.197 * * [simplify]: iters left: 6 (53 enodes)
506.211 * * [simplify]: iters left: 5 (258 enodes)
506.267 * * [simplify]: Extracting #0: cost 1 inf + 0
506.267 * * [simplify]: Extracting #1: cost 3 inf + 0
506.267 * * [simplify]: Extracting #2: cost 6 inf + 0
506.267 * * [simplify]: Extracting #3: cost 50 inf + 0
506.268 * * [simplify]: Extracting #4: cost 135 inf + 0
506.268 * * [simplify]: Extracting #5: cost 193 inf + 44
506.269 * * [simplify]: Extracting #6: cost 233 inf + 4366
506.272 * * [simplify]: Extracting #7: cost 192 inf + 14401
506.276 * * [simplify]: Extracting #8: cost 141 inf + 23282
506.281 * * [simplify]: Extracting #9: cost 100 inf + 36255
506.290 * * [simplify]: Extracting #10: cost 57 inf + 54655
506.310 * * [simplify]: Extracting #11: cost 9 inf + 95599
506.332 * * [simplify]: Extracting #12: cost 0 inf + 106184
506.353 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
506.353 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
506.354 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
506.354 * * [simplify]: iters left: 6 (26 enodes)
506.361 * * [simplify]: iters left: 5 (120 enodes)
506.383 * * [simplify]: iters left: 4 (342 enodes)
506.529 * * [simplify]: Extracting #0: cost 1 inf + 0
506.529 * * [simplify]: Extracting #1: cost 3 inf + 0
506.530 * * [simplify]: Extracting #2: cost 63 inf + 0
506.530 * * [simplify]: Extracting #3: cost 276 inf + 0
506.532 * * [simplify]: Extracting #4: cost 371 inf + 574
506.535 * * [simplify]: Extracting #5: cost 315 inf + 17293
506.551 * * [simplify]: Extracting #6: cost 162 inf + 75686
506.582 * * [simplify]: Extracting #7: cost 7 inf + 145002
506.620 * * [simplify]: Extracting #8: cost 0 inf + 148708
506.655 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))))
506.656 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)))))))
506.656 * * * * [progress]: [ 692 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
506.656 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
506.657 * * [simplify]: iters left: 6 (53 enodes)
506.671 * * [simplify]: iters left: 5 (258 enodes)
506.727 * * [simplify]: Extracting #0: cost 1 inf + 0
506.727 * * [simplify]: Extracting #1: cost 3 inf + 0
506.727 * * [simplify]: Extracting #2: cost 6 inf + 0
506.727 * * [simplify]: Extracting #3: cost 52 inf + 0
506.728 * * [simplify]: Extracting #4: cost 133 inf + 0
506.728 * * [simplify]: Extracting #5: cost 189 inf + 44
506.730 * * [simplify]: Extracting #6: cost 223 inf + 5899
506.732 * * [simplify]: Extracting #7: cost 185 inf + 15047
506.737 * * [simplify]: Extracting #8: cost 118 inf + 29243
506.745 * * [simplify]: Extracting #9: cost 58 inf + 52457
506.760 * * [simplify]: Extracting #10: cost 34 inf + 67406
506.777 * * [simplify]: Extracting #11: cost 7 inf + 95001
506.798 * * [simplify]: Extracting #12: cost 0 inf + 104896
506.820 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
506.821 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
506.821 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
506.821 * * [simplify]: iters left: 6 (26 enodes)
506.828 * * [simplify]: iters left: 5 (120 enodes)
506.852 * * [simplify]: iters left: 4 (340 enodes)
506.987 * * [simplify]: Extracting #0: cost 1 inf + 0
506.987 * * [simplify]: Extracting #1: cost 3 inf + 0
506.987 * * [simplify]: Extracting #2: cost 57 inf + 0
506.988 * * [simplify]: Extracting #3: cost 258 inf + 0
506.989 * * [simplify]: Extracting #4: cost 342 inf + 126
506.991 * * [simplify]: Extracting #5: cost 320 inf + 6877
507.003 * * [simplify]: Extracting #6: cost 153 inf + 62875
507.030 * * [simplify]: Extracting #7: cost 5 inf + 127806
507.064 * * [simplify]: Extracting #8: cost 0 inf + 130144
507.095 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
507.095 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
507.095 * * * * [progress]: [ 693 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
507.096 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
507.096 * * [simplify]: iters left: 6 (47 enodes)
507.109 * * [simplify]: iters left: 5 (222 enodes)
507.158 * * [simplify]: Extracting #0: cost 1 inf + 0
507.158 * * [simplify]: Extracting #1: cost 3 inf + 0
507.158 * * [simplify]: Extracting #2: cost 6 inf + 0
507.158 * * [simplify]: Extracting #3: cost 47 inf + 0
507.159 * * [simplify]: Extracting #4: cost 107 inf + 0
507.159 * * [simplify]: Extracting #5: cost 142 inf + 44
507.160 * * [simplify]: Extracting #6: cost 203 inf + 1318
507.161 * * [simplify]: Extracting #7: cost 184 inf + 5466
507.163 * * [simplify]: Extracting #8: cost 148 inf + 10859
507.168 * * [simplify]: Extracting #9: cost 97 inf + 29709
507.178 * * [simplify]: Extracting #10: cost 35 inf + 54376
507.191 * * [simplify]: Extracting #11: cost 11 inf + 72536
507.208 * * [simplify]: Extracting #12: cost 0 inf + 84371
507.228 * * [simplify]: Extracting #13: cost 0 inf + 84091
507.246 * * [simplify]: Extracting #14: cost 0 inf + 84051
507.263 * [simplify]: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))
507.263 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
507.264 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))
507.264 * * [simplify]: iters left: 6 (21 enodes)
507.269 * * [simplify]: iters left: 5 (98 enodes)
507.287 * * [simplify]: iters left: 4 (274 enodes)
507.369 * * [simplify]: Extracting #0: cost 1 inf + 0
507.369 * * [simplify]: Extracting #1: cost 3 inf + 0
507.369 * * [simplify]: Extracting #2: cost 34 inf + 0
507.369 * * [simplify]: Extracting #3: cost 148 inf + 0
507.370 * * [simplify]: Extracting #4: cost 203 inf + 291
507.372 * * [simplify]: Extracting #5: cost 191 inf + 5985
507.374 * * [simplify]: Extracting #6: cost 154 inf + 12040
507.381 * * [simplify]: Extracting #7: cost 80 inf + 35271
507.398 * * [simplify]: Extracting #8: cost 9 inf + 67362
507.416 * * [simplify]: Extracting #9: cost 0 inf + 71595
507.434 * [simplify]: Simplified to (sqrt (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))
507.434 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))))))
507.435 * * * * [progress]: [ 694 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
507.435 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
507.435 * * [simplify]: iters left: 6 (52 enodes)
507.450 * * [simplify]: iters left: 5 (250 enodes)
507.505 * * [simplify]: Extracting #0: cost 1 inf + 0
507.505 * * [simplify]: Extracting #1: cost 3 inf + 0
507.505 * * [simplify]: Extracting #2: cost 10 inf + 0
507.505 * * [simplify]: Extracting #3: cost 63 inf + 0
507.505 * * [simplify]: Extracting #4: cost 122 inf + 1
507.506 * * [simplify]: Extracting #5: cost 161 inf + 207
507.507 * * [simplify]: Extracting #6: cost 229 inf + 1556
507.509 * * [simplify]: Extracting #7: cost 188 inf + 11343
507.514 * * [simplify]: Extracting #8: cost 103 inf + 36303
507.523 * * [simplify]: Extracting #9: cost 49 inf + 54322
507.537 * * [simplify]: Extracting #10: cost 29 inf + 66142
507.553 * * [simplify]: Extracting #11: cost 5 inf + 89862
507.573 * * [simplify]: Extracting #12: cost 1 inf + 94722
507.593 * * [simplify]: Extracting #13: cost 0 inf + 96507
507.612 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
507.612 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
507.613 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
507.613 * * [simplify]: iters left: 6 (24 enodes)
507.619 * * [simplify]: iters left: 5 (111 enodes)
507.641 * * [simplify]: iters left: 4 (289 enodes)
507.723 * * [simplify]: Extracting #0: cost 1 inf + 0
507.723 * * [simplify]: Extracting #1: cost 3 inf + 0
507.723 * * [simplify]: Extracting #2: cost 31 inf + 0
507.724 * * [simplify]: Extracting #3: cost 114 inf + 0
507.724 * * [simplify]: Extracting #4: cost 190 inf + 290
507.725 * * [simplify]: Extracting #5: cost 201 inf + 2413
507.730 * * [simplify]: Extracting #6: cost 130 inf + 24477
507.744 * * [simplify]: Extracting #7: cost 14 inf + 67259
507.765 * * [simplify]: Extracting #8: cost 0 inf + 72500
507.785 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))
507.785 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))))
507.786 * * * * [progress]: [ 695 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
507.786 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
507.786 * * [simplify]: iters left: 6 (47 enodes)
507.799 * * [simplify]: iters left: 5 (222 enodes)
507.846 * * [simplify]: Extracting #0: cost 1 inf + 0
507.846 * * [simplify]: Extracting #1: cost 3 inf + 0
507.846 * * [simplify]: Extracting #2: cost 10 inf + 0
507.846 * * [simplify]: Extracting #3: cost 58 inf + 0
507.846 * * [simplify]: Extracting #4: cost 104 inf + 44
507.846 * * [simplify]: Extracting #5: cost 127 inf + 862
507.847 * * [simplify]: Extracting #6: cost 190 inf + 2814
507.849 * * [simplify]: Extracting #7: cost 183 inf + 4897
507.851 * * [simplify]: Extracting #8: cost 129 inf + 17388
507.858 * * [simplify]: Extracting #9: cost 78 inf + 37193
507.868 * * [simplify]: Extracting #10: cost 25 inf + 58881
507.882 * * [simplify]: Extracting #11: cost 3 inf + 77378
507.899 * * [simplify]: Extracting #12: cost 1 inf + 80508
507.916 * * [simplify]: Extracting #13: cost 0 inf + 82093
507.933 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))
507.933 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
507.934 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
507.934 * * [simplify]: iters left: 6 (20 enodes)
507.940 * * [simplify]: iters left: 5 (93 enodes)
507.957 * * [simplify]: iters left: 4 (234 enodes)
508.015 * * [simplify]: Extracting #0: cost 1 inf + 0
508.015 * * [simplify]: Extracting #1: cost 3 inf + 0
508.015 * * [simplify]: Extracting #2: cost 23 inf + 0
508.015 * * [simplify]: Extracting #3: cost 61 inf + 0
508.015 * * [simplify]: Extracting #4: cost 106 inf + 2
508.016 * * [simplify]: Extracting #5: cost 132 inf + 88
508.017 * * [simplify]: Extracting #6: cost 110 inf + 3182
508.022 * * [simplify]: Extracting #7: cost 30 inf + 24374
508.031 * * [simplify]: Extracting #8: cost 0 inf + 36381
508.040 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2)))))
508.040 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))))))))
508.041 * * * * [progress]: [ 696 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
508.041 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
508.041 * * [simplify]: iters left: 6 (52 enodes)
508.055 * * [simplify]: iters left: 5 (250 enodes)
508.112 * * [simplify]: Extracting #0: cost 1 inf + 0
508.112 * * [simplify]: Extracting #1: cost 3 inf + 0
508.112 * * [simplify]: Extracting #2: cost 10 inf + 0
508.112 * * [simplify]: Extracting #3: cost 63 inf + 0
508.113 * * [simplify]: Extracting #4: cost 122 inf + 1
508.113 * * [simplify]: Extracting #5: cost 161 inf + 207
508.114 * * [simplify]: Extracting #6: cost 227 inf + 1679
508.116 * * [simplify]: Extracting #7: cost 185 inf + 12689
508.122 * * [simplify]: Extracting #8: cost 105 inf + 35603
508.131 * * [simplify]: Extracting #9: cost 52 inf + 54007
508.142 * * [simplify]: Extracting #10: cost 29 inf + 67102
508.161 * * [simplify]: Extracting #11: cost 5 inf + 90822
508.180 * * [simplify]: Extracting #12: cost 1 inf + 95682
508.201 * * [simplify]: Extracting #13: cost 0 inf + 97467
508.221 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
508.221 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
508.222 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
508.222 * * [simplify]: iters left: 6 (24 enodes)
508.227 * * [simplify]: iters left: 5 (111 enodes)
508.247 * * [simplify]: iters left: 4 (289 enodes)
508.331 * * [simplify]: Extracting #0: cost 1 inf + 0
508.331 * * [simplify]: Extracting #1: cost 3 inf + 0
508.331 * * [simplify]: Extracting #2: cost 31 inf + 0
508.332 * * [simplify]: Extracting #3: cost 114 inf + 0
508.332 * * [simplify]: Extracting #4: cost 190 inf + 290
508.333 * * [simplify]: Extracting #5: cost 201 inf + 2413
508.338 * * [simplify]: Extracting #6: cost 130 inf + 24477
508.353 * * [simplify]: Extracting #7: cost 14 inf + 67259
508.371 * * [simplify]: Extracting #8: cost 0 inf + 72500
508.388 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))
508.389 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))))
508.389 * * * * [progress]: [ 697 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
508.389 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
508.390 * * [simplify]: iters left: 6 (47 enodes)
508.404 * * [simplify]: iters left: 5 (222 enodes)
508.450 * * [simplify]: Extracting #0: cost 1 inf + 0
508.450 * * [simplify]: Extracting #1: cost 3 inf + 0
508.450 * * [simplify]: Extracting #2: cost 10 inf + 0
508.450 * * [simplify]: Extracting #3: cost 57 inf + 0
508.450 * * [simplify]: Extracting #4: cost 103 inf + 86
508.451 * * [simplify]: Extracting #5: cost 120 inf + 1836
508.452 * * [simplify]: Extracting #6: cost 189 inf + 2976
508.453 * * [simplify]: Extracting #7: cost 183 inf + 4897
508.457 * * [simplify]: Extracting #8: cost 104 inf + 26743
508.469 * * [simplify]: Extracting #9: cost 33 inf + 57024
508.483 * * [simplify]: Extracting #10: cost 4 inf + 77566
508.500 * * [simplify]: Extracting #11: cost 0 inf + 82493
508.517 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))
508.517 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
508.518 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
508.518 * * [simplify]: iters left: 6 (20 enodes)
508.523 * * [simplify]: iters left: 5 (93 enodes)
508.540 * * [simplify]: iters left: 4 (234 enodes)
508.597 * * [simplify]: Extracting #0: cost 1 inf + 0
508.597 * * [simplify]: Extracting #1: cost 3 inf + 0
508.597 * * [simplify]: Extracting #2: cost 23 inf + 0
508.597 * * [simplify]: Extracting #3: cost 61 inf + 0
508.598 * * [simplify]: Extracting #4: cost 106 inf + 2
508.598 * * [simplify]: Extracting #5: cost 132 inf + 88
508.599 * * [simplify]: Extracting #6: cost 110 inf + 3182
508.604 * * [simplify]: Extracting #7: cost 30 inf + 24374
508.613 * * [simplify]: Extracting #8: cost 0 inf + 36381
508.625 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2)))))
508.625 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))))))))
508.625 * * * * [progress]: [ 698 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
508.626 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
508.626 * * [simplify]: iters left: 6 (52 enodes)
508.640 * * [simplify]: iters left: 5 (250 enodes)
508.694 * * [simplify]: Extracting #0: cost 1 inf + 0
508.694 * * [simplify]: Extracting #1: cost 3 inf + 0
508.694 * * [simplify]: Extracting #2: cost 6 inf + 0
508.694 * * [simplify]: Extracting #3: cost 46 inf + 0
508.695 * * [simplify]: Extracting #4: cost 112 inf + 0
508.695 * * [simplify]: Extracting #5: cost 182 inf + 0
508.701 * * [simplify]: Extracting #6: cost 266 inf + 45
508.704 * * [simplify]: Extracting #7: cost 215 inf + 7012
508.710 * * [simplify]: Extracting #8: cost 121 inf + 29012
508.719 * * [simplify]: Extracting #9: cost 65 inf + 48568
508.735 * * [simplify]: Extracting #10: cost 19 inf + 89660
508.756 * * [simplify]: Extracting #11: cost 5 inf + 99876
508.777 * * [simplify]: Extracting #12: cost 0 inf + 104397
508.799 * * [simplify]: Extracting #13: cost 0 inf + 104357
508.821 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
508.821 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
508.822 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
508.822 * * [simplify]: iters left: 6 (25 enodes)
508.828 * * [simplify]: iters left: 5 (116 enodes)
508.850 * * [simplify]: iters left: 4 (346 enodes)
508.994 * * [simplify]: Extracting #0: cost 1 inf + 0
508.994 * * [simplify]: Extracting #1: cost 3 inf + 0
508.997 * * [simplify]: Extracting #2: cost 41 inf + 0
508.998 * * [simplify]: Extracting #3: cost 268 inf + 0
508.999 * * [simplify]: Extracting #4: cost 442 inf + 126
509.002 * * [simplify]: Extracting #5: cost 429 inf + 5808
509.019 * * [simplify]: Extracting #6: cost 215 inf + 89729
509.066 * * [simplify]: Extracting #7: cost 15 inf + 189950
509.116 * * [simplify]: Extracting #8: cost 0 inf + 184764
509.162 * * [simplify]: Extracting #9: cost 0 inf + 183484
509.209 * * [simplify]: Extracting #10: cost 0 inf + 183404
509.256 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))
509.256 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))))))
509.257 * * * * [progress]: [ 699 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
509.257 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
509.258 * * [simplify]: iters left: 6 (53 enodes)
509.272 * * [simplify]: iters left: 5 (259 enodes)
509.328 * * [simplify]: Extracting #0: cost 1 inf + 0
509.328 * * [simplify]: Extracting #1: cost 3 inf + 0
509.328 * * [simplify]: Extracting #2: cost 6 inf + 0
509.328 * * [simplify]: Extracting #3: cost 50 inf + 0
509.329 * * [simplify]: Extracting #4: cost 135 inf + 0
509.329 * * [simplify]: Extracting #5: cost 196 inf + 44
509.330 * * [simplify]: Extracting #6: cost 243 inf + 3954
509.333 * * [simplify]: Extracting #7: cost 213 inf + 10247
509.337 * * [simplify]: Extracting #8: cost 143 inf + 22943
509.343 * * [simplify]: Extracting #9: cost 110 inf + 31615
509.352 * * [simplify]: Extracting #10: cost 69 inf + 48883
509.367 * * [simplify]: Extracting #11: cost 35 inf + 70219
509.385 * * [simplify]: Extracting #12: cost 6 inf + 101504
509.408 * * [simplify]: Extracting #13: cost 0 inf + 109654
509.430 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
509.430 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
509.431 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
509.431 * * [simplify]: iters left: 6 (26 enodes)
509.437 * * [simplify]: iters left: 5 (120 enodes)
509.462 * * [simplify]: iters left: 4 (342 enodes)
509.601 * * [simplify]: Extracting #0: cost 1 inf + 0
509.601 * * [simplify]: Extracting #1: cost 3 inf + 0
509.601 * * [simplify]: Extracting #2: cost 63 inf + 0
509.602 * * [simplify]: Extracting #3: cost 276 inf + 0
509.603 * * [simplify]: Extracting #4: cost 375 inf + 574
509.607 * * [simplify]: Extracting #5: cost 351 inf + 10515
509.621 * * [simplify]: Extracting #6: cost 183 inf + 79834
509.662 * * [simplify]: Extracting #7: cost 12 inf + 161182
509.703 * * [simplify]: Extracting #8: cost 0 inf + 157348
509.742 * * [simplify]: Extracting #9: cost 0 inf + 156588
509.782 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))))
509.782 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)))))))
509.783 * * * * [progress]: [ 700 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
509.783 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
509.783 * * [simplify]: iters left: 6 (53 enodes)
509.797 * * [simplify]: iters left: 5 (259 enodes)
509.855 * * [simplify]: Extracting #0: cost 1 inf + 0
509.855 * * [simplify]: Extracting #1: cost 3 inf + 0
509.855 * * [simplify]: Extracting #2: cost 6 inf + 0
509.855 * * [simplify]: Extracting #3: cost 52 inf + 0
509.855 * * [simplify]: Extracting #4: cost 133 inf + 0
509.855 * * [simplify]: Extracting #5: cost 192 inf + 44
509.857 * * [simplify]: Extracting #6: cost 236 inf + 4960
509.859 * * [simplify]: Extracting #7: cost 211 inf + 10564
509.864 * * [simplify]: Extracting #8: cost 119 inf + 33264
509.873 * * [simplify]: Extracting #9: cost 49 inf + 60197
509.891 * * [simplify]: Extracting #10: cost 10 inf + 93636
509.912 * * [simplify]: Extracting #11: cost 0 inf + 105966
509.936 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
509.936 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
509.936 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
509.937 * * [simplify]: iters left: 6 (26 enodes)
509.943 * * [simplify]: iters left: 5 (120 enodes)
509.965 * * [simplify]: iters left: 4 (340 enodes)
510.101 * * [simplify]: Extracting #0: cost 1 inf + 0
510.101 * * [simplify]: Extracting #1: cost 3 inf + 0
510.101 * * [simplify]: Extracting #2: cost 57 inf + 0
510.102 * * [simplify]: Extracting #3: cost 258 inf + 0
510.103 * * [simplify]: Extracting #4: cost 346 inf + 126
510.106 * * [simplify]: Extracting #5: cost 344 inf + 3503
510.118 * * [simplify]: Extracting #6: cost 173 inf + 67120
510.152 * * [simplify]: Extracting #7: cost 6 inf + 144202
510.187 * * [simplify]: Extracting #8: cost 0 inf + 138304
510.221 * * [simplify]: Extracting #9: cost 0 inf + 137744
510.254 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
510.255 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
510.255 * * * * [progress]: [ 701 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
510.256 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
510.256 * * [simplify]: iters left: 6 (47 enodes)
510.268 * * [simplify]: iters left: 5 (223 enodes)
510.317 * * [simplify]: Extracting #0: cost 1 inf + 0
510.317 * * [simplify]: Extracting #1: cost 3 inf + 0
510.317 * * [simplify]: Extracting #2: cost 6 inf + 0
510.317 * * [simplify]: Extracting #3: cost 47 inf + 0
510.318 * * [simplify]: Extracting #4: cost 107 inf + 0
510.318 * * [simplify]: Extracting #5: cost 145 inf + 44
510.319 * * [simplify]: Extracting #6: cost 209 inf + 1274
510.320 * * [simplify]: Extracting #7: cost 202 inf + 3103
510.323 * * [simplify]: Extracting #8: cost 133 inf + 17622
510.331 * * [simplify]: Extracting #9: cost 58 inf + 46721
510.346 * * [simplify]: Extracting #10: cost 11 inf + 78392
510.363 * * [simplify]: Extracting #11: cost 0 inf + 87281
510.381 * * [simplify]: Extracting #12: cost 0 inf + 86041
510.401 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
510.401 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
510.402 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
510.402 * * [simplify]: iters left: 6 (21 enodes)
510.407 * * [simplify]: iters left: 5 (98 enodes)
510.425 * * [simplify]: iters left: 4 (274 enodes)
510.504 * * [simplify]: Extracting #0: cost 1 inf + 0
510.504 * * [simplify]: Extracting #1: cost 3 inf + 0
510.504 * * [simplify]: Extracting #2: cost 34 inf + 0
510.505 * * [simplify]: Extracting #3: cost 148 inf + 0
510.505 * * [simplify]: Extracting #4: cost 207 inf + 291
510.507 * * [simplify]: Extracting #5: cost 213 inf + 3580
510.510 * * [simplify]: Extracting #6: cost 162 inf + 12407
510.518 * * [simplify]: Extracting #7: cost 82 inf + 42665
510.539 * * [simplify]: Extracting #8: cost 10 inf + 77238
510.559 * * [simplify]: Extracting #9: cost 0 inf + 75275
510.578 * * [simplify]: Extracting #10: cost 0 inf + 74195
510.598 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))
510.598 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))))))
510.598 * * * * [progress]: [ 702 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
510.599 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
510.599 * * [simplify]: iters left: 6 (52 enodes)
510.614 * * [simplify]: iters left: 5 (251 enodes)
510.668 * * [simplify]: Extracting #0: cost 1 inf + 0
510.668 * * [simplify]: Extracting #1: cost 3 inf + 0
510.668 * * [simplify]: Extracting #2: cost 10 inf + 0
510.668 * * [simplify]: Extracting #3: cost 63 inf + 0
510.668 * * [simplify]: Extracting #4: cost 122 inf + 1
510.669 * * [simplify]: Extracting #5: cost 164 inf + 207
510.670 * * [simplify]: Extracting #6: cost 231 inf + 1999
510.671 * * [simplify]: Extracting #7: cost 213 inf + 6120
510.675 * * [simplify]: Extracting #8: cost 121 inf + 27608
510.684 * * [simplify]: Extracting #9: cost 51 inf + 53637
510.700 * * [simplify]: Extracting #10: cost 7 inf + 92162
510.722 * * [simplify]: Extracting #11: cost 1 inf + 98312
510.743 * * [simplify]: Extracting #12: cost 0 inf + 100097
510.764 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))))))))
510.764 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
510.765 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
510.765 * * [simplify]: iters left: 6 (24 enodes)
510.771 * * [simplify]: iters left: 5 (111 enodes)
510.791 * * [simplify]: iters left: 4 (289 enodes)
510.875 * * [simplify]: Extracting #0: cost 1 inf + 0
510.875 * * [simplify]: Extracting #1: cost 3 inf + 0
510.875 * * [simplify]: Extracting #2: cost 31 inf + 0
510.875 * * [simplify]: Extracting #3: cost 114 inf + 0
510.876 * * [simplify]: Extracting #4: cost 194 inf + 290
510.877 * * [simplify]: Extracting #5: cost 217 inf + 1148
510.881 * * [simplify]: Extracting #6: cost 148 inf + 21683
510.898 * * [simplify]: Extracting #7: cost 16 inf + 77613
510.918 * * [simplify]: Extracting #8: cost 0 inf + 76300
510.940 * * [simplify]: Extracting #9: cost 0 inf + 75340
510.959 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))
510.959 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))))))) (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))))
510.960 * * * * [progress]: [ 703 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
510.960 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
510.960 * * [simplify]: iters left: 6 (47 enodes)
510.973 * * [simplify]: iters left: 5 (223 enodes)
511.018 * * [simplify]: Extracting #0: cost 1 inf + 0
511.018 * * [simplify]: Extracting #1: cost 3 inf + 0
511.018 * * [simplify]: Extracting #2: cost 10 inf + 0
511.020 * * [simplify]: Extracting #3: cost 58 inf + 0
511.020 * * [simplify]: Extracting #4: cost 104 inf + 44
511.021 * * [simplify]: Extracting #5: cost 131 inf + 820
511.022 * * [simplify]: Extracting #6: cost 195 inf + 2972
511.023 * * [simplify]: Extracting #7: cost 198 inf + 3303
511.026 * * [simplify]: Extracting #8: cost 132 inf + 17854
511.033 * * [simplify]: Extracting #9: cost 60 inf + 43889
511.047 * * [simplify]: Extracting #10: cost 6 inf + 78342
511.063 * * [simplify]: Extracting #11: cost 0 inf + 81603
511.079 * * [simplify]: Extracting #12: cost 0 inf + 81443
511.095 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))
511.096 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
511.096 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
511.096 * * [simplify]: iters left: 6 (20 enodes)
511.101 * * [simplify]: iters left: 5 (93 enodes)
511.119 * * [simplify]: iters left: 4 (234 enodes)
511.177 * * [simplify]: Extracting #0: cost 1 inf + 0
511.177 * * [simplify]: Extracting #1: cost 3 inf + 0
511.177 * * [simplify]: Extracting #2: cost 23 inf + 0
511.177 * * [simplify]: Extracting #3: cost 61 inf + 0
511.178 * * [simplify]: Extracting #4: cost 110 inf + 2
511.178 * * [simplify]: Extracting #5: cost 141 inf + 44
511.179 * * [simplify]: Extracting #6: cost 116 inf + 2684
511.184 * * [simplify]: Extracting #7: cost 40 inf + 24945
511.195 * * [simplify]: Extracting #8: cost 0 inf + 40421
511.204 * * [simplify]: Extracting #9: cost 0 inf + 37301
511.214 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))
511.214 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))))
511.215 * * * * [progress]: [ 704 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
511.215 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
511.215 * * [simplify]: iters left: 6 (52 enodes)
511.229 * * [simplify]: iters left: 5 (251 enodes)
511.284 * * [simplify]: Extracting #0: cost 1 inf + 0
511.284 * * [simplify]: Extracting #1: cost 3 inf + 0
511.284 * * [simplify]: Extracting #2: cost 10 inf + 0
511.284 * * [simplify]: Extracting #3: cost 63 inf + 0
511.284 * * [simplify]: Extracting #4: cost 122 inf + 1
511.285 * * [simplify]: Extracting #5: cost 164 inf + 207
511.286 * * [simplify]: Extracting #6: cost 231 inf + 1797
511.288 * * [simplify]: Extracting #7: cost 214 inf + 5868
511.292 * * [simplify]: Extracting #8: cost 122 inf + 26869
511.301 * * [simplify]: Extracting #9: cost 51 inf + 54197
511.318 * * [simplify]: Extracting #10: cost 7 inf + 91882
511.342 * * [simplify]: Extracting #11: cost 1 inf + 99072
511.363 * * [simplify]: Extracting #12: cost 0 inf + 100897
511.384 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
511.384 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
511.384 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
511.385 * * [simplify]: iters left: 6 (24 enodes)
511.390 * * [simplify]: iters left: 5 (111 enodes)
511.411 * * [simplify]: iters left: 4 (289 enodes)
511.495 * * [simplify]: Extracting #0: cost 1 inf + 0
511.495 * * [simplify]: Extracting #1: cost 3 inf + 0
511.495 * * [simplify]: Extracting #2: cost 31 inf + 0
511.495 * * [simplify]: Extracting #3: cost 114 inf + 0
511.496 * * [simplify]: Extracting #4: cost 194 inf + 290
511.497 * * [simplify]: Extracting #5: cost 217 inf + 1148
511.501 * * [simplify]: Extracting #6: cost 148 inf + 21683
511.518 * * [simplify]: Extracting #7: cost 16 inf + 77613
511.538 * * [simplify]: Extracting #8: cost 0 inf + 76300
511.557 * * [simplify]: Extracting #9: cost 0 inf + 75340
511.578 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))
511.578 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))))
511.579 * * * * [progress]: [ 705 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
511.579 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
511.579 * * [simplify]: iters left: 6 (47 enodes)
511.593 * * [simplify]: iters left: 5 (223 enodes)
511.639 * * [simplify]: Extracting #0: cost 1 inf + 0
511.639 * * [simplify]: Extracting #1: cost 3 inf + 0
511.639 * * [simplify]: Extracting #2: cost 10 inf + 0
511.639 * * [simplify]: Extracting #3: cost 57 inf + 0
511.639 * * [simplify]: Extracting #4: cost 103 inf + 86
511.640 * * [simplify]: Extracting #5: cost 125 inf + 1512
511.641 * * [simplify]: Extracting #6: cost 195 inf + 2932
511.642 * * [simplify]: Extracting #7: cost 195 inf + 3547
511.645 * * [simplify]: Extracting #8: cost 133 inf + 17773
512.068 * * [simplify]: Extracting #9: cost 59 inf + 44794
512.082 * * [simplify]: Extracting #10: cost 7 inf + 78499
512.098 * * [simplify]: Extracting #11: cost 0 inf + 82163
512.115 * * [simplify]: Extracting #12: cost 0 inf + 81843
512.131 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))
512.131 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
512.131 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
512.132 * * [simplify]: iters left: 6 (20 enodes)
512.136 * * [simplify]: iters left: 5 (93 enodes)
512.155 * * [simplify]: iters left: 4 (234 enodes)
512.209 * * [simplify]: Extracting #0: cost 1 inf + 0
512.209 * * [simplify]: Extracting #1: cost 3 inf + 0
512.210 * * [simplify]: Extracting #2: cost 23 inf + 0
512.210 * * [simplify]: Extracting #3: cost 61 inf + 0
512.210 * * [simplify]: Extracting #4: cost 110 inf + 2
512.210 * * [simplify]: Extracting #5: cost 141 inf + 44
512.211 * * [simplify]: Extracting #6: cost 116 inf + 2684
512.218 * * [simplify]: Extracting #7: cost 40 inf + 24945
512.228 * * [simplify]: Extracting #8: cost 0 inf + 40421
512.238 * * [simplify]: Extracting #9: cost 0 inf + 37301
512.249 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))
512.249 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))))
512.250 * * * * [progress]: [ 706 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
512.250 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
512.251 * * [simplify]: iters left: 6 (52 enodes)
512.265 * * [simplify]: iters left: 5 (250 enodes)
512.320 * * [simplify]: Extracting #0: cost 1 inf + 0
512.320 * * [simplify]: Extracting #1: cost 3 inf + 0
512.320 * * [simplify]: Extracting #2: cost 6 inf + 0
512.320 * * [simplify]: Extracting #3: cost 46 inf + 0
512.321 * * [simplify]: Extracting #4: cost 112 inf + 0
512.321 * * [simplify]: Extracting #5: cost 179 inf + 0
512.322 * * [simplify]: Extracting #6: cost 258 inf + 253
512.323 * * [simplify]: Extracting #7: cost 206 inf + 9050
512.328 * * [simplify]: Extracting #8: cost 116 inf + 29675
512.336 * * [simplify]: Extracting #9: cost 66 inf + 48153
512.352 * * [simplify]: Extracting #10: cost 16 inf + 92364
512.372 * * [simplify]: Extracting #11: cost 1 inf + 103302
512.396 * * [simplify]: Extracting #12: cost 0 inf + 105007
512.417 * * [simplify]: Extracting #13: cost 0 inf + 104967
512.437 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1)))))))
512.437 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
512.438 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
512.438 * * [simplify]: iters left: 6 (25 enodes)
512.444 * * [simplify]: iters left: 5 (116 enodes)
512.467 * * [simplify]: iters left: 4 (346 enodes)
512.617 * * [simplify]: Extracting #0: cost 1 inf + 0
512.617 * * [simplify]: Extracting #1: cost 3 inf + 0
512.617 * * [simplify]: Extracting #2: cost 41 inf + 0
512.618 * * [simplify]: Extracting #3: cost 268 inf + 0
512.620 * * [simplify]: Extracting #4: cost 438 inf + 126
512.622 * * [simplify]: Extracting #5: cost 406 inf + 8616
512.639 * * [simplify]: Extracting #6: cost 200 inf + 83792
512.683 * * [simplify]: Extracting #7: cost 8 inf + 175694
512.727 * * [simplify]: Extracting #8: cost 0 inf + 175644
512.771 * * [simplify]: Extracting #9: cost 0 inf + 175084
512.817 * * [simplify]: Extracting #10: cost 0 inf + 175004
512.864 * [simplify]: Simplified to (sqrt (* (cbrt (+ lambda1 lambda2)) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))
512.865 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (cbrt (+ lambda1 lambda2)) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))))))
512.865 * * * * [progress]: [ 707 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
512.866 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
512.866 * * [simplify]: iters left: 6 (53 enodes)
512.881 * * [simplify]: iters left: 5 (259 enodes)
512.935 * * [simplify]: Extracting #0: cost 1 inf + 0
512.935 * * [simplify]: Extracting #1: cost 3 inf + 0
512.935 * * [simplify]: Extracting #2: cost 6 inf + 0
512.935 * * [simplify]: Extracting #3: cost 50 inf + 0
512.935 * * [simplify]: Extracting #4: cost 135 inf + 0
512.936 * * [simplify]: Extracting #5: cost 193 inf + 44
512.937 * * [simplify]: Extracting #6: cost 228 inf + 5258
512.940 * * [simplify]: Extracting #7: cost 192 inf + 14182
512.944 * * [simplify]: Extracting #8: cost 120 inf + 29808
512.955 * * [simplify]: Extracting #9: cost 61 inf + 51653
512.972 * * [simplify]: Extracting #10: cost 9 inf + 96679
512.994 * * [simplify]: Extracting #11: cost 0 inf + 107504
513.016 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
513.016 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
513.017 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
513.017 * * [simplify]: iters left: 6 (26 enodes)
513.023 * * [simplify]: iters left: 5 (120 enodes)
513.049 * * [simplify]: iters left: 4 (342 enodes)
513.190 * * [simplify]: Extracting #0: cost 1 inf + 0
513.190 * * [simplify]: Extracting #1: cost 3 inf + 0
513.190 * * [simplify]: Extracting #2: cost 63 inf + 0
513.191 * * [simplify]: Extracting #3: cost 276 inf + 0
513.193 * * [simplify]: Extracting #4: cost 371 inf + 574
513.196 * * [simplify]: Extracting #5: cost 315 inf + 17293
513.211 * * [simplify]: Extracting #6: cost 162 inf + 75686
513.246 * * [simplify]: Extracting #7: cost 7 inf + 145002
513.281 * * [simplify]: Extracting #8: cost 0 inf + 148708
513.316 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))))
513.316 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)))))))
513.316 * * * * [progress]: [ 708 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
513.317 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
513.317 * * [simplify]: iters left: 6 (53 enodes)
513.333 * * [simplify]: iters left: 5 (259 enodes)
513.386 * * [simplify]: Extracting #0: cost 1 inf + 0
513.386 * * [simplify]: Extracting #1: cost 3 inf + 0
513.386 * * [simplify]: Extracting #2: cost 6 inf + 0
513.386 * * [simplify]: Extracting #3: cost 52 inf + 0
513.386 * * [simplify]: Extracting #4: cost 133 inf + 0
513.387 * * [simplify]: Extracting #5: cost 189 inf + 44
513.388 * * [simplify]: Extracting #6: cost 228 inf + 4928
513.391 * * [simplify]: Extracting #7: cost 184 inf + 15311
513.396 * * [simplify]: Extracting #8: cost 118 inf + 31226
513.407 * * [simplify]: Extracting #9: cost 49 inf + 59007
513.424 * * [simplify]: Extracting #10: cost 10 inf + 92486
513.446 * * [simplify]: Extracting #11: cost 0 inf + 105056
513.468 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
513.468 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
513.469 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
513.469 * * [simplify]: iters left: 6 (26 enodes)
513.475 * * [simplify]: iters left: 5 (120 enodes)
513.500 * * [simplify]: iters left: 4 (340 enodes)
513.636 * * [simplify]: Extracting #0: cost 1 inf + 0
513.636 * * [simplify]: Extracting #1: cost 3 inf + 0
513.636 * * [simplify]: Extracting #2: cost 57 inf + 0
513.637 * * [simplify]: Extracting #3: cost 258 inf + 0
513.638 * * [simplify]: Extracting #4: cost 342 inf + 126
513.641 * * [simplify]: Extracting #5: cost 320 inf + 6877
513.651 * * [simplify]: Extracting #6: cost 153 inf + 62875
513.678 * * [simplify]: Extracting #7: cost 5 inf + 127806
513.712 * * [simplify]: Extracting #8: cost 0 inf + 130144
513.744 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
513.744 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
513.744 * * * * [progress]: [ 709 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
513.745 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
513.745 * * [simplify]: iters left: 6 (47 enodes)
513.758 * * [simplify]: iters left: 5 (223 enodes)
513.806 * * [simplify]: Extracting #0: cost 1 inf + 0
513.806 * * [simplify]: Extracting #1: cost 3 inf + 0
513.806 * * [simplify]: Extracting #2: cost 6 inf + 0
513.806 * * [simplify]: Extracting #3: cost 47 inf + 0
513.806 * * [simplify]: Extracting #4: cost 107 inf + 0
513.807 * * [simplify]: Extracting #5: cost 142 inf + 44
513.807 * * [simplify]: Extracting #6: cost 203 inf + 1318
513.809 * * [simplify]: Extracting #7: cost 186 inf + 5263
513.812 * * [simplify]: Extracting #8: cost 124 inf + 18746
513.819 * * [simplify]: Extracting #9: cost 59 inf + 45866
513.833 * * [simplify]: Extracting #10: cost 12 inf + 75737
513.850 * * [simplify]: Extracting #11: cost 0 inf + 86251
513.869 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))))
513.869 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
513.870 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))
513.870 * * [simplify]: iters left: 6 (21 enodes)
513.875 * * [simplify]: iters left: 5 (98 enodes)
513.893 * * [simplify]: iters left: 4 (274 enodes)
513.974 * * [simplify]: Extracting #0: cost 1 inf + 0
513.974 * * [simplify]: Extracting #1: cost 3 inf + 0
513.974 * * [simplify]: Extracting #2: cost 34 inf + 0
513.974 * * [simplify]: Extracting #3: cost 148 inf + 0
513.975 * * [simplify]: Extracting #4: cost 203 inf + 291
513.976 * * [simplify]: Extracting #5: cost 191 inf + 5985
513.979 * * [simplify]: Extracting #6: cost 154 inf + 12040
513.986 * * [simplify]: Extracting #7: cost 80 inf + 35271
514.005 * * [simplify]: Extracting #8: cost 9 inf + 67362
514.023 * * [simplify]: Extracting #9: cost 0 inf + 71595
514.041 * [simplify]: Simplified to (sqrt (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))
514.041 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))))))
514.042 * * * * [progress]: [ 710 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
514.042 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
514.042 * * [simplify]: iters left: 6 (52 enodes)
514.056 * * [simplify]: iters left: 5 (251 enodes)
514.112 * * [simplify]: Extracting #0: cost 1 inf + 0
514.112 * * [simplify]: Extracting #1: cost 3 inf + 0
514.112 * * [simplify]: Extracting #2: cost 10 inf + 0
514.112 * * [simplify]: Extracting #3: cost 63 inf + 0
514.112 * * [simplify]: Extracting #4: cost 122 inf + 1
514.112 * * [simplify]: Extracting #5: cost 161 inf + 207
514.113 * * [simplify]: Extracting #6: cost 224 inf + 2084
514.115 * * [simplify]: Extracting #7: cost 191 inf + 10203
514.119 * * [simplify]: Extracting #8: cost 118 inf + 26888
514.127 * * [simplify]: Extracting #9: cost 55 inf + 50848
514.142 * * [simplify]: Extracting #10: cost 7 inf + 89412
514.161 * * [simplify]: Extracting #11: cost 1 inf + 96082
514.184 * * [simplify]: Extracting #12: cost 0 inf + 97867
514.203 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))))))))
514.203 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
514.204 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
514.204 * * [simplify]: iters left: 6 (24 enodes)
514.210 * * [simplify]: iters left: 5 (111 enodes)
514.230 * * [simplify]: iters left: 4 (289 enodes)
514.316 * * [simplify]: Extracting #0: cost 1 inf + 0
514.316 * * [simplify]: Extracting #1: cost 3 inf + 0
514.316 * * [simplify]: Extracting #2: cost 31 inf + 0
514.316 * * [simplify]: Extracting #3: cost 114 inf + 0
514.317 * * [simplify]: Extracting #4: cost 190 inf + 290
514.318 * * [simplify]: Extracting #5: cost 201 inf + 2413
514.323 * * [simplify]: Extracting #6: cost 130 inf + 24477
514.337 * * [simplify]: Extracting #7: cost 14 inf + 67259
514.355 * * [simplify]: Extracting #8: cost 0 inf + 72500
514.373 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))
514.373 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))))))))) (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))))
514.374 * * * * [progress]: [ 711 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
514.374 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
514.375 * * [simplify]: iters left: 6 (47 enodes)
514.389 * * [simplify]: iters left: 5 (223 enodes)
514.434 * * [simplify]: Extracting #0: cost 1 inf + 0
514.434 * * [simplify]: Extracting #1: cost 3 inf + 0
514.434 * * [simplify]: Extracting #2: cost 10 inf + 0
514.434 * * [simplify]: Extracting #3: cost 58 inf + 0
514.434 * * [simplify]: Extracting #4: cost 104 inf + 44
514.435 * * [simplify]: Extracting #5: cost 128 inf + 820
514.436 * * [simplify]: Extracting #6: cost 189 inf + 3016
514.437 * * [simplify]: Extracting #7: cost 182 inf + 5181
514.441 * * [simplify]: Extracting #8: cost 121 inf + 18921
514.448 * * [simplify]: Extracting #9: cost 58 inf + 42743
514.462 * * [simplify]: Extracting #10: cost 8 inf + 75937
514.481 * * [simplify]: Extracting #11: cost 0 inf + 82253
514.498 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))
514.498 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
514.499 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
514.499 * * [simplify]: iters left: 6 (20 enodes)
514.503 * * [simplify]: iters left: 5 (93 enodes)
514.520 * * [simplify]: iters left: 4 (234 enodes)
514.577 * * [simplify]: Extracting #0: cost 1 inf + 0
514.577 * * [simplify]: Extracting #1: cost 3 inf + 0
514.577 * * [simplify]: Extracting #2: cost 23 inf + 0
514.577 * * [simplify]: Extracting #3: cost 61 inf + 0
514.577 * * [simplify]: Extracting #4: cost 106 inf + 2
514.578 * * [simplify]: Extracting #5: cost 132 inf + 88
514.579 * * [simplify]: Extracting #6: cost 110 inf + 3182
514.584 * * [simplify]: Extracting #7: cost 30 inf + 24374
514.593 * * [simplify]: Extracting #8: cost 0 inf + 36381
514.602 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2)))))
514.603 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))))))))
514.603 * * * * [progress]: [ 712 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
514.603 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
514.604 * * [simplify]: iters left: 6 (52 enodes)
514.617 * * [simplify]: iters left: 5 (251 enodes)
514.670 * * [simplify]: Extracting #0: cost 1 inf + 0
514.670 * * [simplify]: Extracting #1: cost 3 inf + 0
514.671 * * [simplify]: Extracting #2: cost 10 inf + 0
514.671 * * [simplify]: Extracting #3: cost 63 inf + 0
514.671 * * [simplify]: Extracting #4: cost 122 inf + 1
514.671 * * [simplify]: Extracting #5: cost 161 inf + 207
514.672 * * [simplify]: Extracting #6: cost 223 inf + 2084
514.674 * * [simplify]: Extracting #7: cost 193 inf + 9669
514.678 * * [simplify]: Extracting #8: cost 118 inf + 26464
514.686 * * [simplify]: Extracting #9: cost 55 inf + 51408
514.705 * * [simplify]: Extracting #10: cost 7 inf + 89492
514.726 * * [simplify]: Extracting #11: cost 1 inf + 96002
514.747 * * [simplify]: Extracting #12: cost 0 inf + 97747
514.767 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
514.767 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
514.768 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
514.768 * * [simplify]: iters left: 6 (24 enodes)
514.774 * * [simplify]: iters left: 5 (111 enodes)
514.796 * * [simplify]: iters left: 4 (289 enodes)
514.879 * * [simplify]: Extracting #0: cost 1 inf + 0
514.879 * * [simplify]: Extracting #1: cost 3 inf + 0
514.879 * * [simplify]: Extracting #2: cost 31 inf + 0
514.879 * * [simplify]: Extracting #3: cost 114 inf + 0
514.880 * * [simplify]: Extracting #4: cost 190 inf + 290
514.881 * * [simplify]: Extracting #5: cost 201 inf + 2413
514.886 * * [simplify]: Extracting #6: cost 130 inf + 24477
514.900 * * [simplify]: Extracting #7: cost 14 inf + 67259
514.919 * * [simplify]: Extracting #8: cost 0 inf + 72500
514.939 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))
514.939 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))))
514.940 * * * * [progress]: [ 713 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
514.940 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
514.940 * * [simplify]: iters left: 6 (47 enodes)
514.953 * * [simplify]: iters left: 5 (223 enodes)
514.997 * * [simplify]: Extracting #0: cost 1 inf + 0
514.997 * * [simplify]: Extracting #1: cost 3 inf + 0
514.997 * * [simplify]: Extracting #2: cost 10 inf + 0
514.997 * * [simplify]: Extracting #3: cost 57 inf + 0
514.998 * * [simplify]: Extracting #4: cost 103 inf + 86
514.998 * * [simplify]: Extracting #5: cost 122 inf + 1512
514.999 * * [simplify]: Extracting #6: cost 189 inf + 2976
515.000 * * [simplify]: Extracting #7: cost 181 inf + 5302
515.004 * * [simplify]: Extracting #8: cost 122 inf + 18840
515.013 * * [simplify]: Extracting #9: cost 58 inf + 42903
515.027 * * [simplify]: Extracting #10: cost 8 inf + 76608
515.044 * * [simplify]: Extracting #11: cost 0 inf + 82653
515.063 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))
515.063 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
515.064 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
515.064 * * [simplify]: iters left: 6 (20 enodes)
515.068 * * [simplify]: iters left: 5 (93 enodes)
515.084 * * [simplify]: iters left: 4 (234 enodes)
515.140 * * [simplify]: Extracting #0: cost 1 inf + 0
515.140 * * [simplify]: Extracting #1: cost 3 inf + 0
515.140 * * [simplify]: Extracting #2: cost 23 inf + 0
515.140 * * [simplify]: Extracting #3: cost 61 inf + 0
515.140 * * [simplify]: Extracting #4: cost 106 inf + 2
515.141 * * [simplify]: Extracting #5: cost 132 inf + 88
515.142 * * [simplify]: Extracting #6: cost 110 inf + 3182
515.146 * * [simplify]: Extracting #7: cost 30 inf + 24374
515.155 * * [simplify]: Extracting #8: cost 0 inf + 36381
515.166 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2)))))
515.167 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))))))))
515.167 * * * * [progress]: [ 714 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
515.167 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
515.168 * * [simplify]: iters left: 6 (51 enodes)
515.181 * * [simplify]: iters left: 5 (256 enodes)
515.241 * * [simplify]: Extracting #0: cost 1 inf + 0
515.241 * * [simplify]: Extracting #1: cost 3 inf + 0
515.241 * * [simplify]: Extracting #2: cost 6 inf + 0
515.241 * * [simplify]: Extracting #3: cost 56 inf + 0
515.241 * * [simplify]: Extracting #4: cost 130 inf + 0
515.241 * * [simplify]: Extracting #5: cost 213 inf + 0
515.242 * * [simplify]: Extracting #6: cost 311 inf + 510
515.244 * * [simplify]: Extracting #7: cost 274 inf + 8534
515.248 * * [simplify]: Extracting #8: cost 191 inf + 23745
515.254 * * [simplify]: Extracting #9: cost 118 inf + 41318
515.265 * * [simplify]: Extracting #10: cost 60 inf + 69958
515.287 * * [simplify]: Extracting #11: cost 6 inf + 118572
515.313 * * [simplify]: Extracting #12: cost 1 inf + 126137
515.341 * * [simplify]: Extracting #13: cost 0 inf + 128162
515.367 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))))
515.367 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
515.368 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
515.368 * * [simplify]: iters left: 6 (26 enodes)
515.375 * * [simplify]: iters left: 5 (126 enodes)
515.402 * * [simplify]: iters left: 4 (403 enodes)
515.578 * * [simplify]: Extracting #0: cost 1 inf + 0
515.578 * * [simplify]: Extracting #1: cost 3 inf + 0
515.578 * * [simplify]: Extracting #2: cost 44 inf + 0
515.579 * * [simplify]: Extracting #3: cost 311 inf + 0
515.580 * * [simplify]: Extracting #4: cost 526 inf + 85
515.583 * * [simplify]: Extracting #5: cost 641 inf + 5961
515.596 * * [simplify]: Extracting #6: cost 457 inf + 39259
515.618 * * [simplify]: Extracting #7: cost 227 inf + 108652
515.670 * * [simplify]: Extracting #8: cost 23 inf + 239722
515.735 * * [simplify]: Extracting #9: cost 0 inf + 255690
515.798 * [simplify]: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
515.798 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
515.799 * * * * [progress]: [ 715 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
515.799 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
515.799 * * [simplify]: iters left: 6 (52 enodes)
515.813 * * [simplify]: iters left: 5 (265 enodes)
515.874 * * [simplify]: Extracting #0: cost 1 inf + 0
515.874 * * [simplify]: Extracting #1: cost 3 inf + 0
515.874 * * [simplify]: Extracting #2: cost 6 inf + 0
515.874 * * [simplify]: Extracting #3: cost 60 inf + 0
515.874 * * [simplify]: Extracting #4: cost 153 inf + 0
515.875 * * [simplify]: Extracting #5: cost 226 inf + 85
515.876 * * [simplify]: Extracting #6: cost 292 inf + 3831
515.879 * * [simplify]: Extracting #7: cost 257 inf + 11362
515.883 * * [simplify]: Extracting #8: cost 176 inf + 28771
515.892 * * [simplify]: Extracting #9: cost 96 inf + 58551
515.908 * * [simplify]: Extracting #10: cost 39 inf + 90004
515.931 * * [simplify]: Extracting #11: cost 4 inf + 123879
515.960 * * [simplify]: Extracting #12: cost 1 inf + 129194
515.987 * * [simplify]: Extracting #13: cost 0 inf + 131299
516.015 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
516.015 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
516.016 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
516.016 * * [simplify]: iters left: 6 (27 enodes)
516.023 * * [simplify]: iters left: 5 (130 enodes)
516.052 * * [simplify]: iters left: 4 (400 enodes)
516.220 * * [simplify]: Extracting #0: cost 1 inf + 0
516.220 * * [simplify]: Extracting #1: cost 3 inf + 0
516.220 * * [simplify]: Extracting #2: cost 70 inf + 0
516.221 * * [simplify]: Extracting #3: cost 339 inf + 0
516.223 * * [simplify]: Extracting #4: cost 486 inf + 168
516.226 * * [simplify]: Extracting #5: cost 618 inf + 4188
516.237 * * [simplify]: Extracting #6: cost 461 inf + 32032
516.261 * * [simplify]: Extracting #7: cost 203 inf + 122990
516.316 * * [simplify]: Extracting #8: cost 10 inf + 240672
516.378 * * [simplify]: Extracting #9: cost 0 inf + 247432
516.439 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))))
516.439 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))))
516.440 * * * * [progress]: [ 716 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
516.440 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
516.441 * * [simplify]: iters left: 6 (52 enodes)
516.456 * * [simplify]: iters left: 5 (265 enodes)
516.524 * * [simplify]: Extracting #0: cost 1 inf + 0
516.524 * * [simplify]: Extracting #1: cost 3 inf + 0
516.525 * * [simplify]: Extracting #2: cost 6 inf + 0
516.525 * * [simplify]: Extracting #3: cost 62 inf + 0
516.525 * * [simplify]: Extracting #4: cost 151 inf + 0
516.525 * * [simplify]: Extracting #5: cost 222 inf + 85
516.527 * * [simplify]: Extracting #6: cost 291 inf + 3265
516.529 * * [simplify]: Extracting #7: cost 259 inf + 11062
516.534 * * [simplify]: Extracting #8: cost 179 inf + 28364
516.543 * * [simplify]: Extracting #9: cost 96 inf + 57520
516.557 * * [simplify]: Extracting #10: cost 49 inf + 82367
516.578 * * [simplify]: Extracting #11: cost 14 inf + 113181
516.605 * * [simplify]: Extracting #12: cost 0 inf + 131731
516.631 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))))
516.631 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
516.632 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
516.632 * * [simplify]: iters left: 6 (27 enodes)
516.639 * * [simplify]: iters left: 5 (130 enodes)
516.666 * * [simplify]: iters left: 4 (398 enodes)
516.834 * * [simplify]: Extracting #0: cost 1 inf + 0
516.834 * * [simplify]: Extracting #1: cost 3 inf + 0
516.834 * * [simplify]: Extracting #2: cost 60 inf + 0
516.835 * * [simplify]: Extracting #3: cost 299 inf + 0
516.836 * * [simplify]: Extracting #4: cost 426 inf + 536
516.840 * * [simplify]: Extracting #5: cost 540 inf + 7427
516.846 * * [simplify]: Extracting #6: cost 408 inf + 29696
516.868 * * [simplify]: Extracting #7: cost 158 inf + 115785
516.919 * * [simplify]: Extracting #8: cost 6 inf + 207706
516.972 * * [simplify]: Extracting #9: cost 0 inf + 211850
517.025 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))))
517.025 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)))))))
517.026 * * * * [progress]: [ 717 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
517.026 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
517.027 * * [simplify]: iters left: 6 (46 enodes)
517.040 * * [simplify]: iters left: 5 (229 enodes)
517.092 * * [simplify]: Extracting #0: cost 1 inf + 0
517.092 * * [simplify]: Extracting #1: cost 3 inf + 0
517.092 * * [simplify]: Extracting #2: cost 6 inf + 0
517.092 * * [simplify]: Extracting #3: cost 54 inf + 0
517.093 * * [simplify]: Extracting #4: cost 119 inf + 0
517.093 * * [simplify]: Extracting #5: cost 170 inf + 126
517.094 * * [simplify]: Extracting #6: cost 253 inf + 1072
517.096 * * [simplify]: Extracting #7: cost 246 inf + 3506
517.098 * * [simplify]: Extracting #8: cost 184 inf + 12750
517.105 * * [simplify]: Extracting #9: cost 118 inf + 32699
517.116 * * [simplify]: Extracting #10: cost 49 inf + 63236
517.134 * * [simplify]: Extracting #11: cost 7 inf + 98375
517.159 * * [simplify]: Extracting #12: cost 0 inf + 106230
517.181 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ phi2 phi1)))))
517.182 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
517.182 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))
517.182 * * [simplify]: iters left: 6 (22 enodes)
517.188 * * [simplify]: iters left: 5 (108 enodes)
517.210 * * [simplify]: iters left: 4 (328 enodes)
517.324 * * [simplify]: Extracting #0: cost 1 inf + 0
517.324 * * [simplify]: Extracting #1: cost 3 inf + 0
517.325 * * [simplify]: Extracting #2: cost 34 inf + 0
517.325 * * [simplify]: Extracting #3: cost 160 inf + 0
517.326 * * [simplify]: Extracting #4: cost 247 inf + 86
517.327 * * [simplify]: Extracting #5: cost 363 inf + 3578
517.331 * * [simplify]: Extracting #6: cost 303 inf + 15642
517.344 * * [simplify]: Extracting #7: cost 82 inf + 75617
517.373 * * [simplify]: Extracting #8: cost 7 inf + 112467
517.401 * * [simplify]: Extracting #9: cost 0 inf + 116492
517.432 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi2 phi1) (+ phi2 phi1))))
517.432 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi2 phi1) (+ phi2 phi1)))))))
517.433 * * * * [progress]: [ 718 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
517.433 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
517.433 * * [simplify]: iters left: 6 (51 enodes)
517.447 * * [simplify]: iters left: 5 (257 enodes)
517.504 * * [simplify]: Extracting #0: cost 1 inf + 0
517.504 * * [simplify]: Extracting #1: cost 3 inf + 0
517.504 * * [simplify]: Extracting #2: cost 10 inf + 0
517.504 * * [simplify]: Extracting #3: cost 74 inf + 0
517.505 * * [simplify]: Extracting #4: cost 136 inf + 42
517.505 * * [simplify]: Extracting #5: cost 192 inf + 249
517.506 * * [simplify]: Extracting #6: cost 278 inf + 1717
517.508 * * [simplify]: Extracting #7: cost 252 inf + 9192
517.513 * * [simplify]: Extracting #8: cost 147 inf + 33881
517.522 * * [simplify]: Extracting #9: cost 77 inf + 55604
517.543 * * [simplify]: Extracting #10: cost 13 inf + 106745
517.568 * * [simplify]: Extracting #11: cost 1 inf + 120056
517.594 * * [simplify]: Extracting #12: cost 0 inf + 122081
517.620 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
517.620 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
517.621 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
517.621 * * [simplify]: iters left: 6 (25 enodes)
517.627 * * [simplify]: iters left: 5 (121 enodes)
517.653 * * [simplify]: iters left: 4 (345 enodes)
517.774 * * [simplify]: Extracting #0: cost 1 inf + 0
517.774 * * [simplify]: Extracting #1: cost 3 inf + 0
517.774 * * [simplify]: Extracting #2: cost 33 inf + 0
517.775 * * [simplify]: Extracting #3: cost 142 inf + 0
517.776 * * [simplify]: Extracting #4: cost 267 inf + 44
517.777 * * [simplify]: Extracting #5: cost 427 inf + 617
517.781 * * [simplify]: Extracting #6: cost 308 inf + 18902
517.797 * * [simplify]: Extracting #7: cost 97 inf + 79851
517.827 * * [simplify]: Extracting #8: cost 7 inf + 126006
517.862 * * [simplify]: Extracting #9: cost 0 inf + 129790
517.895 * [simplify]: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
517.895 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
517.896 * * * * [progress]: [ 719 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
517.896 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
517.897 * * [simplify]: iters left: 6 (46 enodes)
517.909 * * [simplify]: iters left: 5 (229 enodes)
517.959 * * [simplify]: Extracting #0: cost 1 inf + 0
517.959 * * [simplify]: Extracting #1: cost 3 inf + 0
517.959 * * [simplify]: Extracting #2: cost 10 inf + 0
517.959 * * [simplify]: Extracting #3: cost 66 inf + 0
517.960 * * [simplify]: Extracting #4: cost 117 inf + 44
517.960 * * [simplify]: Extracting #5: cost 160 inf + 618
517.961 * * [simplify]: Extracting #6: cost 241 inf + 2770
517.962 * * [simplify]: Extracting #7: cost 245 inf + 3584
517.964 * * [simplify]: Extracting #8: cost 197 inf + 9798
517.969 * * [simplify]: Extracting #9: cost 122 inf + 28689
517.978 * * [simplify]: Extracting #10: cost 54 inf + 57934
517.996 * * [simplify]: Extracting #11: cost 7 inf + 95025
518.020 * * [simplify]: Extracting #12: cost 0 inf + 102480
518.041 * * [simplify]: Extracting #13: cost 0 inf + 102240
518.061 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))
518.062 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
518.062 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
518.063 * * [simplify]: iters left: 6 (21 enodes)
518.068 * * [simplify]: iters left: 5 (103 enodes)
518.090 * * [simplify]: iters left: 4 (288 enodes)
518.177 * * [simplify]: Extracting #0: cost 1 inf + 0
518.177 * * [simplify]: Extracting #1: cost 3 inf + 0
518.177 * * [simplify]: Extracting #2: cost 23 inf + 0
518.177 * * [simplify]: Extracting #3: cost 70 inf + 0
518.177 * * [simplify]: Extracting #4: cost 148 inf + 2
518.178 * * [simplify]: Extracting #5: cost 312 inf + 44
518.180 * * [simplify]: Extracting #6: cost 289 inf + 4560
518.188 * * [simplify]: Extracting #7: cost 72 inf + 47126
518.204 * * [simplify]: Extracting #8: cost 8 inf + 71178
518.223 * * [simplify]: Extracting #9: cost 0 inf + 74805
518.241 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))
518.241 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))))
518.242 * * * * [progress]: [ 720 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
518.242 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
518.243 * * [simplify]: iters left: 6 (51 enodes)
518.258 * * [simplify]: iters left: 5 (257 enodes)
518.315 * * [simplify]: Extracting #0: cost 1 inf + 0
518.315 * * [simplify]: Extracting #1: cost 3 inf + 0
518.315 * * [simplify]: Extracting #2: cost 10 inf + 0
518.315 * * [simplify]: Extracting #3: cost 74 inf + 0
518.316 * * [simplify]: Extracting #4: cost 136 inf + 42
518.316 * * [simplify]: Extracting #5: cost 192 inf + 248
518.320 * * [simplify]: Extracting #6: cost 279 inf + 1594
518.322 * * [simplify]: Extracting #7: cost 253 inf + 9180
518.328 * * [simplify]: Extracting #8: cost 144 inf + 37423
518.337 * * [simplify]: Extracting #9: cost 69 inf + 62124
518.357 * * [simplify]: Extracting #10: cost 14 inf + 105661
518.383 * * [simplify]: Extracting #11: cost 1 inf + 119856
518.409 * * [simplify]: Extracting #12: cost 0 inf + 121841
518.435 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
518.436 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
518.436 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
518.436 * * [simplify]: iters left: 6 (25 enodes)
518.442 * * [simplify]: iters left: 5 (121 enodes)
518.467 * * [simplify]: iters left: 4 (345 enodes)
518.582 * * [simplify]: Extracting #0: cost 1 inf + 0
518.582 * * [simplify]: Extracting #1: cost 3 inf + 0
518.582 * * [simplify]: Extracting #2: cost 33 inf + 0
518.582 * * [simplify]: Extracting #3: cost 142 inf + 0
518.583 * * [simplify]: Extracting #4: cost 267 inf + 44
518.585 * * [simplify]: Extracting #5: cost 427 inf + 617
518.589 * * [simplify]: Extracting #6: cost 308 inf + 18902
518.604 * * [simplify]: Extracting #7: cost 97 inf + 79851
518.637 * * [simplify]: Extracting #8: cost 7 inf + 126006
518.669 * * [simplify]: Extracting #9: cost 0 inf + 129790
518.703 * [simplify]: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
518.703 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
518.704 * * * * [progress]: [ 721 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
518.704 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
518.704 * * [simplify]: iters left: 6 (46 enodes)
518.716 * * [simplify]: iters left: 5 (229 enodes)
518.766 * * [simplify]: Extracting #0: cost 1 inf + 0
518.766 * * [simplify]: Extracting #1: cost 3 inf + 0
518.766 * * [simplify]: Extracting #2: cost 10 inf + 0
518.766 * * [simplify]: Extracting #3: cost 65 inf + 0
518.767 * * [simplify]: Extracting #4: cost 116 inf + 86
518.767 * * [simplify]: Extracting #5: cost 152 inf + 1594
518.768 * * [simplify]: Extracting #6: cost 240 inf + 2932
518.769 * * [simplify]: Extracting #7: cost 245 inf + 3584
518.772 * * [simplify]: Extracting #8: cost 195 inf + 10282
518.776 * * [simplify]: Extracting #9: cost 121 inf + 28546
518.786 * * [simplify]: Extracting #10: cost 50 inf + 60476
518.805 * * [simplify]: Extracting #11: cost 6 inf + 96210
518.826 * * [simplify]: Extracting #12: cost 0 inf + 102880
518.846 * * [simplify]: Extracting #13: cost 0 inf + 102640
518.866 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))
518.866 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
518.867 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
518.867 * * [simplify]: iters left: 6 (21 enodes)
518.872 * * [simplify]: iters left: 5 (103 enodes)
518.894 * * [simplify]: iters left: 4 (288 enodes)
518.977 * * [simplify]: Extracting #0: cost 1 inf + 0
518.978 * * [simplify]: Extracting #1: cost 3 inf + 0
518.978 * * [simplify]: Extracting #2: cost 23 inf + 0
518.978 * * [simplify]: Extracting #3: cost 70 inf + 0
518.978 * * [simplify]: Extracting #4: cost 148 inf + 2
518.979 * * [simplify]: Extracting #5: cost 312 inf + 44
518.981 * * [simplify]: Extracting #6: cost 289 inf + 4560
518.989 * * [simplify]: Extracting #7: cost 72 inf + 47126
519.006 * * [simplify]: Extracting #8: cost 8 inf + 71178
519.027 * * [simplify]: Extracting #9: cost 0 inf + 74805
519.045 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))
519.045 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))))
519.046 * * * * [progress]: [ 722 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
519.046 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
519.046 * * [simplify]: iters left: 6 (47 enodes)
519.059 * * [simplify]: iters left: 5 (228 enodes)
519.108 * * [simplify]: Extracting #0: cost 1 inf + 0
519.108 * * [simplify]: Extracting #1: cost 3 inf + 0
519.108 * * [simplify]: Extracting #2: cost 6 inf + 0
519.108 * * [simplify]: Extracting #3: cost 48 inf + 0
519.109 * * [simplify]: Extracting #4: cost 112 inf + 0
519.109 * * [simplify]: Extracting #5: cost 184 inf + 0
519.110 * * [simplify]: Extracting #6: cost 248 inf + 3318
519.111 * * [simplify]: Extracting #7: cost 214 inf + 9670
519.114 * * [simplify]: Extracting #8: cost 141 inf + 19717
519.120 * * [simplify]: Extracting #9: cost 95 inf + 37162
519.130 * * [simplify]: Extracting #10: cost 47 inf + 58896
519.145 * * [simplify]: Extracting #11: cost 10 inf + 88621
519.165 * * [simplify]: Extracting #12: cost 0 inf + 100431
519.186 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))
519.186 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
519.187 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
519.187 * * [simplify]: iters left: 6 (24 enodes)
519.193 * * [simplify]: iters left: 5 (112 enodes)
519.214 * * [simplify]: iters left: 4 (326 enodes)
519.346 * * [simplify]: Extracting #0: cost 1 inf + 0
519.346 * * [simplify]: Extracting #1: cost 3 inf + 0
519.347 * * [simplify]: Extracting #2: cost 37 inf + 0
519.347 * * [simplify]: Extracting #3: cost 258 inf + 0
519.349 * * [simplify]: Extracting #4: cost 429 inf + 85
519.352 * * [simplify]: Extracting #5: cost 388 inf + 13541
519.371 * * [simplify]: Extracting #6: cost 157 inf + 105356
519.419 * * [simplify]: Extracting #7: cost 5 inf + 187133
519.465 * * [simplify]: Extracting #8: cost 0 inf + 181313
519.510 * * [simplify]: Extracting #9: cost 0 inf + 180913
519.556 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))
519.556 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))))
519.556 * * * * [progress]: [ 723 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
519.557 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
519.557 * * [simplify]: iters left: 6 (48 enodes)
519.569 * * [simplify]: iters left: 5 (237 enodes)
519.624 * * [simplify]: Extracting #0: cost 1 inf + 0
519.624 * * [simplify]: Extracting #1: cost 3 inf + 0
519.624 * * [simplify]: Extracting #2: cost 6 inf + 0
519.624 * * [simplify]: Extracting #3: cost 52 inf + 0
519.624 * * [simplify]: Extracting #4: cost 135 inf + 0
519.625 * * [simplify]: Extracting #5: cost 193 inf + 412
519.626 * * [simplify]: Extracting #6: cost 219 inf + 6904
519.629 * * [simplify]: Extracting #7: cost 204 inf + 11785
519.632 * * [simplify]: Extracting #8: cost 168 inf + 16345
519.637 * * [simplify]: Extracting #9: cost 94 inf + 38374
519.654 * * [simplify]: Extracting #10: cost 18 inf + 87271
519.673 * * [simplify]: Extracting #11: cost 3 inf + 100735
519.694 * * [simplify]: Extracting #12: cost 0 inf + 103768
519.714 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))
519.714 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
519.715 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
519.715 * * [simplify]: iters left: 6 (25 enodes)
519.721 * * [simplify]: iters left: 5 (116 enodes)
519.744 * * [simplify]: iters left: 4 (323 enodes)
519.864 * * [simplify]: Extracting #0: cost 1 inf + 0
519.864 * * [simplify]: Extracting #1: cost 3 inf + 0
519.864 * * [simplify]: Extracting #2: cost 61 inf + 0
519.864 * * [simplify]: Extracting #3: cost 274 inf + 0
519.866 * * [simplify]: Extracting #4: cost 369 inf + 655
519.868 * * [simplify]: Extracting #5: cost 385 inf + 5478
519.873 * * [simplify]: Extracting #6: cost 295 inf + 21269
519.892 * * [simplify]: Extracting #7: cost 116 inf + 99190
519.932 * * [simplify]: Extracting #8: cost 4 inf + 160075
519.973 * * [simplify]: Extracting #9: cost 0 inf + 162651
520.013 * [simplify]: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))
520.013 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))))))
520.014 * * * * [progress]: [ 724 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
520.014 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
520.014 * * [simplify]: iters left: 6 (48 enodes)
520.027 * * [simplify]: iters left: 5 (237 enodes)
520.080 * * [simplify]: Extracting #0: cost 1 inf + 0
520.081 * * [simplify]: Extracting #1: cost 3 inf + 0
520.081 * * [simplify]: Extracting #2: cost 6 inf + 0
520.081 * * [simplify]: Extracting #3: cost 54 inf + 0
520.081 * * [simplify]: Extracting #4: cost 133 inf + 0
520.081 * * [simplify]: Extracting #5: cost 190 inf + 210
520.083 * * [simplify]: Extracting #6: cost 230 inf + 3996
520.085 * * [simplify]: Extracting #7: cost 212 inf + 9802
520.088 * * [simplify]: Extracting #8: cost 152 inf + 19290
520.095 * * [simplify]: Extracting #9: cost 83 inf + 45772
520.106 * * [simplify]: Extracting #10: cost 35 inf + 68146
520.127 * * [simplify]: Extracting #11: cost 4 inf + 97460
520.147 * * [simplify]: Extracting #12: cost 1 inf + 101135
520.172 * * [simplify]: Extracting #13: cost 0 inf + 103000
520.193 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))
520.193 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
520.194 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
520.194 * * [simplify]: iters left: 6 (25 enodes)
520.200 * * [simplify]: iters left: 5 (116 enodes)
520.225 * * [simplify]: iters left: 4 (321 enodes)
520.341 * * [simplify]: Extracting #0: cost 1 inf + 0
520.341 * * [simplify]: Extracting #1: cost 3 inf + 0
520.341 * * [simplify]: Extracting #2: cost 53 inf + 0
520.342 * * [simplify]: Extracting #3: cost 253 inf + 0
520.343 * * [simplify]: Extracting #4: cost 332 inf + 820
520.346 * * [simplify]: Extracting #5: cost 333 inf + 8474
520.350 * * [simplify]: Extracting #6: cost 271 inf + 17570
520.367 * * [simplify]: Extracting #7: cost 110 inf + 85085
520.399 * * [simplify]: Extracting #8: cost 9 inf + 138251
520.435 * * [simplify]: Extracting #9: cost 0 inf + 143724
520.470 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))
520.470 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) (sqrt (* (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))))))
520.471 * * * * [progress]: [ 725 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
520.471 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
520.471 * * [simplify]: iters left: 6 (42 enodes)
520.482 * * [simplify]: iters left: 5 (202 enodes)
520.528 * * [simplify]: Extracting #0: cost 1 inf + 0
520.528 * * [simplify]: Extracting #1: cost 3 inf + 0
520.528 * * [simplify]: Extracting #2: cost 6 inf + 0
520.528 * * [simplify]: Extracting #3: cost 46 inf + 0
520.528 * * [simplify]: Extracting #4: cost 101 inf + 0
520.528 * * [simplify]: Extracting #5: cost 141 inf + 85
520.529 * * [simplify]: Extracting #6: cost 196 inf + 1555
520.530 * * [simplify]: Extracting #7: cost 187 inf + 3875
520.532 * * [simplify]: Extracting #8: cost 147 inf + 9475
520.536 * * [simplify]: Extracting #9: cost 90 inf + 25714
520.545 * * [simplify]: Extracting #10: cost 33 inf + 51466
520.560 * * [simplify]: Extracting #11: cost 5 inf + 75334
520.576 * * [simplify]: Extracting #12: cost 0 inf + 80299
520.593 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))))))
520.594 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
520.594 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))
520.594 * * [simplify]: iters left: 6 (20 enodes)
520.599 * * [simplify]: iters left: 5 (94 enodes)
520.619 * * [simplify]: iters left: 4 (251 enodes)
520.687 * * [simplify]: Extracting #0: cost 1 inf + 0
520.687 * * [simplify]: Extracting #1: cost 3 inf + 0
520.687 * * [simplify]: Extracting #2: cost 27 inf + 0
520.687 * * [simplify]: Extracting #3: cost 130 inf + 0
520.688 * * [simplify]: Extracting #4: cost 191 inf + 85
520.689 * * [simplify]: Extracting #5: cost 228 inf + 2880
520.691 * * [simplify]: Extracting #6: cost 177 inf + 8905
520.697 * * [simplify]: Extracting #7: cost 82 inf + 32136
520.712 * * [simplify]: Extracting #8: cost 6 inf + 66322
520.729 * * [simplify]: Extracting #9: cost 0 inf + 69263
520.748 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
520.748 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
520.749 * * * * [progress]: [ 726 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
520.749 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
520.750 * * [simplify]: iters left: 6 (47 enodes)
520.762 * * [simplify]: iters left: 5 (230 enodes)
520.810 * * [simplify]: Extracting #0: cost 1 inf + 0
520.810 * * [simplify]: Extracting #1: cost 3 inf + 0
520.811 * * [simplify]: Extracting #2: cost 10 inf + 0
520.811 * * [simplify]: Extracting #3: cost 62 inf + 0
520.811 * * [simplify]: Extracting #4: cost 115 inf + 42
520.811 * * [simplify]: Extracting #5: cost 159 inf + 290
520.812 * * [simplify]: Extracting #6: cost 215 inf + 2243
520.814 * * [simplify]: Extracting #7: cost 193 inf + 8281
520.820 * * [simplify]: Extracting #8: cost 121 inf + 20570
520.828 * * [simplify]: Extracting #9: cost 54 inf + 48562
520.844 * * [simplify]: Extracting #10: cost 6 inf + 86085
520.863 * * [simplify]: Extracting #11: cost 0 inf + 93715
520.882 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
520.882 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
520.882 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
520.883 * * [simplify]: iters left: 6 (23 enodes)
520.888 * * [simplify]: iters left: 5 (107 enodes)
520.909 * * [simplify]: iters left: 4 (262 enodes)
520.977 * * [simplify]: Extracting #0: cost 1 inf + 0
520.977 * * [simplify]: Extracting #1: cost 3 inf + 0
520.977 * * [simplify]: Extracting #2: cost 27 inf + 0
520.978 * * [simplify]: Extracting #3: cost 108 inf + 0
520.978 * * [simplify]: Extracting #4: cost 181 inf + 207
520.979 * * [simplify]: Extracting #5: cost 229 inf + 741
520.981 * * [simplify]: Extracting #6: cost 189 inf + 5463
520.986 * * [simplify]: Extracting #7: cost 92 inf + 30903
521.001 * * [simplify]: Extracting #8: cost 11 inf + 67337
521.019 * * [simplify]: Extracting #9: cost 0 inf + 72215
521.037 * [simplify]: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))
521.037 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))))
521.037 * * * * [progress]: [ 727 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
521.038 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
521.038 * * [simplify]: iters left: 6 (42 enodes)
521.051 * * [simplify]: iters left: 5 (203 enodes)
521.090 * * [simplify]: Extracting #0: cost 1 inf + 0
521.090 * * [simplify]: Extracting #1: cost 3 inf + 0
521.091 * * [simplify]: Extracting #2: cost 10 inf + 0
521.091 * * [simplify]: Extracting #3: cost 54 inf + 0
521.091 * * [simplify]: Extracting #4: cost 95 inf + 86
521.091 * * [simplify]: Extracting #5: cost 121 inf + 1392
521.092 * * [simplify]: Extracting #6: cost 181 inf + 2932
521.093 * * [simplify]: Extracting #7: cost 184 inf + 3790
521.096 * * [simplify]: Extracting #8: cost 116 inf + 16722
521.101 * * [simplify]: Extracting #9: cost 70 inf + 31772
521.112 * * [simplify]: Extracting #10: cost 23 inf + 58050
521.129 * * [simplify]: Extracting #11: cost 1 inf + 75649
521.144 * * [simplify]: Extracting #12: cost 0 inf + 77194
521.161 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
521.161 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
521.162 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))
521.162 * * [simplify]: iters left: 6 (19 enodes)
521.166 * * [simplify]: iters left: 5 (89 enodes)
521.182 * * [simplify]: iters left: 4 (205 enodes)
521.229 * * [simplify]: Extracting #0: cost 1 inf + 0
521.229 * * [simplify]: Extracting #1: cost 3 inf + 0
521.229 * * [simplify]: Extracting #2: cost 17 inf + 0
521.229 * * [simplify]: Extracting #3: cost 49 inf + 0
521.230 * * [simplify]: Extracting #4: cost 91 inf + 44
521.230 * * [simplify]: Extracting #5: cost 142 inf + 86
521.231 * * [simplify]: Extracting #6: cost 125 inf + 2353
521.236 * * [simplify]: Extracting #7: cost 17 inf + 28403
521.244 * * [simplify]: Extracting #8: cost 0 inf + 33049
521.253 * * [simplify]: Extracting #9: cost 0 inf + 31849
521.261 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
521.261 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
521.261 * * * * [progress]: [ 728 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
521.262 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
521.262 * * [simplify]: iters left: 6 (47 enodes)
521.274 * * [simplify]: iters left: 5 (230 enodes)
521.324 * * [simplify]: Extracting #0: cost 1 inf + 0
521.324 * * [simplify]: Extracting #1: cost 3 inf + 0
521.324 * * [simplify]: Extracting #2: cost 10 inf + 0
521.324 * * [simplify]: Extracting #3: cost 62 inf + 0
521.324 * * [simplify]: Extracting #4: cost 115 inf + 42
521.325 * * [simplify]: Extracting #5: cost 158 inf + 332
521.326 * * [simplify]: Extracting #6: cost 209 inf + 3455
521.327 * * [simplify]: Extracting #7: cost 192 inf + 8313
521.331 * * [simplify]: Extracting #8: cost 118 inf + 21408
521.337 * * [simplify]: Extracting #9: cost 64 inf + 42728
521.354 * * [simplify]: Extracting #10: cost 11 inf + 83869
521.373 * * [simplify]: Extracting #11: cost 0 inf + 94515
521.392 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
521.392 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
521.393 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
521.393 * * [simplify]: iters left: 6 (23 enodes)
521.398 * * [simplify]: iters left: 5 (107 enodes)
521.419 * * [simplify]: iters left: 4 (262 enodes)
521.488 * * [simplify]: Extracting #0: cost 1 inf + 0
521.488 * * [simplify]: Extracting #1: cost 3 inf + 0
521.488 * * [simplify]: Extracting #2: cost 27 inf + 0
521.488 * * [simplify]: Extracting #3: cost 108 inf + 0
521.489 * * [simplify]: Extracting #4: cost 181 inf + 207
521.490 * * [simplify]: Extracting #5: cost 229 inf + 741
521.491 * * [simplify]: Extracting #6: cost 189 inf + 5463
521.499 * * [simplify]: Extracting #7: cost 92 inf + 30903
521.514 * * [simplify]: Extracting #8: cost 11 inf + 67337
521.532 * * [simplify]: Extracting #9: cost 0 inf + 72215
521.550 * [simplify]: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))
521.550 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))))
521.551 * * * * [progress]: [ 729 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
521.551 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
521.551 * * [simplify]: iters left: 6 (42 enodes)
521.562 * * [simplify]: iters left: 5 (203 enodes)
521.604 * * [simplify]: Extracting #0: cost 1 inf + 0
521.604 * * [simplify]: Extracting #1: cost 3 inf + 0
521.604 * * [simplify]: Extracting #2: cost 10 inf + 0
521.604 * * [simplify]: Extracting #3: cost 53 inf + 0
521.605 * * [simplify]: Extracting #4: cost 96 inf + 44
521.605 * * [simplify]: Extracting #5: cost 125 inf + 944
521.606 * * [simplify]: Extracting #6: cost 181 inf + 3012
521.607 * * [simplify]: Extracting #7: cost 184 inf + 3790
521.610 * * [simplify]: Extracting #8: cost 118 inf + 15690
521.615 * * [simplify]: Extracting #9: cost 70 inf + 31772
521.626 * * [simplify]: Extracting #10: cost 20 inf + 59630
521.641 * * [simplify]: Extracting #11: cost 1 inf + 75969
521.656 * * [simplify]: Extracting #12: cost 0 inf + 77514
521.674 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
521.674 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
521.674 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))
521.675 * * [simplify]: iters left: 6 (19 enodes)
521.679 * * [simplify]: iters left: 5 (89 enodes)
521.695 * * [simplify]: iters left: 4 (205 enodes)
521.743 * * [simplify]: Extracting #0: cost 1 inf + 0
521.743 * * [simplify]: Extracting #1: cost 3 inf + 0
521.743 * * [simplify]: Extracting #2: cost 17 inf + 0
521.743 * * [simplify]: Extracting #3: cost 49 inf + 0
521.744 * * [simplify]: Extracting #4: cost 91 inf + 44
521.744 * * [simplify]: Extracting #5: cost 142 inf + 86
521.745 * * [simplify]: Extracting #6: cost 125 inf + 2353
521.750 * * [simplify]: Extracting #7: cost 17 inf + 28403
521.760 * * [simplify]: Extracting #8: cost 0 inf + 33049
521.768 * * [simplify]: Extracting #9: cost 0 inf + 31849
521.776 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
521.776 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
521.777 * * * * [progress]: [ 730 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
521.777 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
521.778 * * [simplify]: iters left: 6 (51 enodes)
521.791 * * [simplify]: iters left: 5 (250 enodes)
521.845 * * [simplify]: Extracting #0: cost 1 inf + 0
521.845 * * [simplify]: Extracting #1: cost 3 inf + 0
521.845 * * [simplify]: Extracting #2: cost 6 inf + 0
521.846 * * [simplify]: Extracting #3: cost 50 inf + 0
521.846 * * [simplify]: Extracting #4: cost 116 inf + 0
521.846 * * [simplify]: Extracting #5: cost 185 inf + 0
521.847 * * [simplify]: Extracting #6: cost 264 inf + 763
521.848 * * [simplify]: Extracting #7: cost 232 inf + 7124
521.852 * * [simplify]: Extracting #8: cost 125 inf + 28207
521.859 * * [simplify]: Extracting #9: cost 81 inf + 40652
521.870 * * [simplify]: Extracting #10: cost 43 inf + 65894
521.890 * * [simplify]: Extracting #11: cost 8 inf + 96433
521.909 * * [simplify]: Extracting #12: cost 1 inf + 103448
521.929 * * [simplify]: Extracting #13: cost 0 inf + 105193
521.950 * * [simplify]: Extracting #14: cost 0 inf + 105153
521.970 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))
521.970 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
521.971 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
521.971 * * [simplify]: iters left: 6 (26 enodes)
521.977 * * [simplify]: iters left: 5 (124 enodes)
522.002 * * [simplify]: iters left: 4 (362 enodes)
522.154 * * [simplify]: Extracting #0: cost 1 inf + 0
522.154 * * [simplify]: Extracting #1: cost 3 inf + 0
522.154 * * [simplify]: Extracting #2: cost 36 inf + 0
522.155 * * [simplify]: Extracting #3: cost 257 inf + 0
522.156 * * [simplify]: Extracting #4: cost 438 inf + 44
522.159 * * [simplify]: Extracting #5: cost 443 inf + 7081
522.169 * * [simplify]: Extracting #6: cost 295 inf + 33267
522.190 * * [simplify]: Extracting #7: cost 127 inf + 105506
522.232 * * [simplify]: Extracting #8: cost 1 inf + 182473
522.278 * * [simplify]: Extracting #9: cost 0 inf + 183037
522.323 * [simplify]: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))
522.323 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))))))
522.323 * * * * [progress]: [ 731 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
522.324 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
522.324 * * [simplify]: iters left: 6 (52 enodes)
522.338 * * [simplify]: iters left: 5 (259 enodes)
522.396 * * [simplify]: Extracting #0: cost 1 inf + 0
522.396 * * [simplify]: Extracting #1: cost 3 inf + 0
522.396 * * [simplify]: Extracting #2: cost 6 inf + 0
522.397 * * [simplify]: Extracting #3: cost 53 inf + 0
522.397 * * [simplify]: Extracting #4: cost 138 inf + 0
522.397 * * [simplify]: Extracting #5: cost 196 inf + 126
522.399 * * [simplify]: Extracting #6: cost 243 inf + 4317
522.401 * * [simplify]: Extracting #7: cost 220 inf + 10373
522.404 * * [simplify]: Extracting #8: cost 155 inf + 23788
522.412 * * [simplify]: Extracting #9: cost 73 inf + 51353
522.430 * * [simplify]: Extracting #10: cost 29 inf + 83119
522.448 * * [simplify]: Extracting #11: cost 14 inf + 93692
522.468 * * [simplify]: Extracting #12: cost 3 inf + 101950
522.488 * * [simplify]: Extracting #13: cost 0 inf + 107385
522.510 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))
522.510 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
522.510 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
522.511 * * [simplify]: iters left: 6 (27 enodes)
522.517 * * [simplify]: iters left: 5 (128 enodes)
522.542 * * [simplify]: iters left: 4 (360 enodes)
522.688 * * [simplify]: Extracting #0: cost 1 inf + 0
522.688 * * [simplify]: Extracting #1: cost 3 inf + 0
522.688 * * [simplify]: Extracting #2: cost 64 inf + 0
522.689 * * [simplify]: Extracting #3: cost 271 inf + 0
522.692 * * [simplify]: Extracting #4: cost 379 inf + 44
522.694 * * [simplify]: Extracting #5: cost 401 inf + 3017
522.700 * * [simplify]: Extracting #6: cost 290 inf + 24771
522.721 * * [simplify]: Extracting #7: cost 115 inf + 99340
522.756 * * [simplify]: Extracting #8: cost 3 inf + 161721
522.794 * * [simplify]: Extracting #9: cost 0 inf + 163453
522.833 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))
522.833 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))))
522.834 * * * * [progress]: [ 732 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
522.834 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
522.834 * * [simplify]: iters left: 6 (52 enodes)
522.848 * * [simplify]: iters left: 5 (259 enodes)
522.904 * * [simplify]: Extracting #0: cost 1 inf + 0
522.904 * * [simplify]: Extracting #1: cost 3 inf + 0
522.904 * * [simplify]: Extracting #2: cost 6 inf + 0
522.905 * * [simplify]: Extracting #3: cost 55 inf + 0
522.905 * * [simplify]: Extracting #4: cost 136 inf + 0
522.905 * * [simplify]: Extracting #5: cost 193 inf + 85
522.907 * * [simplify]: Extracting #6: cost 232 inf + 5852
522.909 * * [simplify]: Extracting #7: cost 216 inf + 11175
522.913 * * [simplify]: Extracting #8: cost 147 inf + 23265
522.920 * * [simplify]: Extracting #9: cost 79 inf + 43058
522.929 * * [simplify]: Extracting #10: cost 52 inf + 60570
522.947 * * [simplify]: Extracting #11: cost 8 inf + 97087
522.971 * * [simplify]: Extracting #12: cost 0 inf + 105417
522.992 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))
522.992 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
522.993 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
522.993 * * [simplify]: iters left: 6 (27 enodes)
523.000 * * [simplify]: iters left: 5 (128 enodes)
523.026 * * [simplify]: iters left: 4 (358 enodes)
523.167 * * [simplify]: Extracting #0: cost 1 inf + 0
523.167 * * [simplify]: Extracting #1: cost 3 inf + 0
523.167 * * [simplify]: Extracting #2: cost 56 inf + 0
523.168 * * [simplify]: Extracting #3: cost 257 inf + 0
523.169 * * [simplify]: Extracting #4: cost 348 inf + 614
523.172 * * [simplify]: Extracting #5: cost 353 inf + 6299
523.176 * * [simplify]: Extracting #6: cost 271 inf + 19915
523.192 * * [simplify]: Extracting #7: cost 115 inf + 84728
523.224 * * [simplify]: Extracting #8: cost 2 inf + 146470
523.262 * * [simplify]: Extracting #9: cost 0 inf + 147638
523.297 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1))))
523.297 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* (* phi1 phi1) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (- (* phi2 phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)))))))
523.298 * * * * [progress]: [ 733 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
523.298 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
523.298 * * [simplify]: iters left: 6 (46 enodes)
523.310 * * [simplify]: iters left: 5 (225 enodes)
523.359 * * [simplify]: Extracting #0: cost 1 inf + 0
523.360 * * [simplify]: Extracting #1: cost 3 inf + 0
523.360 * * [simplify]: Extracting #2: cost 6 inf + 0
523.360 * * [simplify]: Extracting #3: cost 47 inf + 0
523.360 * * [simplify]: Extracting #4: cost 104 inf + 0
523.360 * * [simplify]: Extracting #5: cost 144 inf + 2
523.361 * * [simplify]: Extracting #6: cost 203 inf + 1962
523.362 * * [simplify]: Extracting #7: cost 202 inf + 3466
523.366 * * [simplify]: Extracting #8: cost 121 inf + 21810
523.375 * * [simplify]: Extracting #9: cost 58 inf + 49535
523.385 * * [simplify]: Extracting #10: cost 30 inf + 60375
523.402 * * [simplify]: Extracting #11: cost 5 inf + 78534
523.419 * * [simplify]: Extracting #12: cost 0 inf + 84859
523.436 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (- phi1 phi2) (+ phi2 phi1)))) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
523.436 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (- phi1 phi2) (+ phi2 phi1)))) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
523.436 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))
523.436 * * [simplify]: iters left: 6 (22 enodes)
523.442 * * [simplify]: iters left: 5 (106 enodes)
523.461 * * [simplify]: iters left: 4 (294 enodes)
523.549 * * [simplify]: Extracting #0: cost 1 inf + 0
523.549 * * [simplify]: Extracting #1: cost 3 inf + 0
523.550 * * [simplify]: Extracting #2: cost 30 inf + 0
523.550 * * [simplify]: Extracting #3: cost 133 inf + 0
523.550 * * [simplify]: Extracting #4: cost 198 inf + 127
523.551 * * [simplify]: Extracting #5: cost 221 inf + 2930
523.553 * * [simplify]: Extracting #6: cost 177 inf + 8746
523.559 * * [simplify]: Extracting #7: cost 94 inf + 27941
523.571 * * [simplify]: Extracting #8: cost 26 inf + 58414
523.588 * * [simplify]: Extracting #9: cost 0 inf + 71345
523.605 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))
523.605 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))))
523.606 * * * * [progress]: [ 734 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
523.606 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
523.607 * * [simplify]: iters left: 6 (51 enodes)
523.622 * * [simplify]: iters left: 5 (252 enodes)
523.676 * * [simplify]: Extracting #0: cost 1 inf + 0
523.676 * * [simplify]: Extracting #1: cost 3 inf + 0
523.676 * * [simplify]: Extracting #2: cost 10 inf + 0
523.676 * * [simplify]: Extracting #3: cost 63 inf + 0
523.676 * * [simplify]: Extracting #4: cost 118 inf + 42
523.677 * * [simplify]: Extracting #5: cost 161 inf + 249
523.678 * * [simplify]: Extracting #6: cost 228 inf + 1840
523.679 * * [simplify]: Extracting #7: cost 221 inf + 5166
523.681 * * [simplify]: Extracting #8: cost 163 inf + 15534
523.690 * * [simplify]: Extracting #9: cost 86 inf + 39722
523.701 * * [simplify]: Extracting #10: cost 29 inf + 70510
523.719 * * [simplify]: Extracting #11: cost 3 inf + 97200
523.739 * * [simplify]: Extracting #12: cost 1 inf + 100730
523.760 * * [simplify]: Extracting #13: cost 0 inf + 102515
523.781 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))))
523.781 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
523.781 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
523.782 * * [simplify]: iters left: 6 (25 enodes)
523.789 * * [simplify]: iters left: 5 (119 enodes)
523.812 * * [simplify]: iters left: 4 (303 enodes)
523.907 * * [simplify]: Extracting #0: cost 1 inf + 0
523.907 * * [simplify]: Extracting #1: cost 3 inf + 0
523.908 * * [simplify]: Extracting #2: cost 29 inf + 0
523.908 * * [simplify]: Extracting #3: cost 132 inf + 0
523.909 * * [simplify]: Extracting #4: cost 211 inf + 85
523.910 * * [simplify]: Extracting #5: cost 249 inf + 739
523.911 * * [simplify]: Extracting #6: cost 209 inf + 5179
523.921 * * [simplify]: Extracting #7: cost 98 inf + 37754
523.939 * * [simplify]: Extracting #8: cost 6 inf + 79549
523.960 * * [simplify]: Extracting #9: cost 0 inf + 83132
523.981 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))
523.981 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))))
523.982 * * * * [progress]: [ 735 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
523.982 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
523.982 * * [simplify]: iters left: 6 (46 enodes)
523.994 * * [simplify]: iters left: 5 (224 enodes)
524.040 * * [simplify]: Extracting #0: cost 1 inf + 0
524.040 * * [simplify]: Extracting #1: cost 3 inf + 0
524.040 * * [simplify]: Extracting #2: cost 10 inf + 0
524.040 * * [simplify]: Extracting #3: cost 59 inf + 0
524.040 * * [simplify]: Extracting #4: cost 104 inf + 44
524.041 * * [simplify]: Extracting #5: cost 130 inf + 904
524.042 * * [simplify]: Extracting #6: cost 196 inf + 2932
524.043 * * [simplify]: Extracting #7: cost 199 inf + 3668
524.046 * * [simplify]: Extracting #8: cost 130 inf + 17180
524.053 * * [simplify]: Extracting #9: cost 60 inf + 43495
524.066 * * [simplify]: Extracting #10: cost 14 inf + 74391
524.084 * * [simplify]: Extracting #11: cost 0 inf + 82873
524.101 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
524.101 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
524.101 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
524.101 * * [simplify]: iters left: 6 (21 enodes)
524.106 * * [simplify]: iters left: 5 (101 enodes)
524.125 * * [simplify]: iters left: 4 (255 enodes)
524.194 * * [simplify]: Extracting #0: cost 1 inf + 0
524.194 * * [simplify]: Extracting #1: cost 3 inf + 0
524.194 * * [simplify]: Extracting #2: cost 17 inf + 0
524.194 * * [simplify]: Extracting #3: cost 62 inf + 0
524.194 * * [simplify]: Extracting #4: cost 113 inf + 2
524.195 * * [simplify]: Extracting #5: cost 165 inf + 44
524.196 * * [simplify]: Extracting #6: cost 152 inf + 662
524.198 * * [simplify]: Extracting #7: cost 76 inf + 12378
524.206 * * [simplify]: Extracting #8: cost 9 inf + 35479
524.216 * * [simplify]: Extracting #9: cost 0 inf + 39267
524.229 * [simplify]: Simplified to (sqrt (* (+ phi2 phi1) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))
524.229 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (+ phi2 phi1) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))))
524.230 * * * * [progress]: [ 736 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
524.230 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
524.230 * * [simplify]: iters left: 6 (51 enodes)
524.244 * * [simplify]: iters left: 5 (252 enodes)
524.298 * * [simplify]: Extracting #0: cost 1 inf + 0
524.298 * * [simplify]: Extracting #1: cost 3 inf + 0
524.298 * * [simplify]: Extracting #2: cost 10 inf + 0
524.298 * * [simplify]: Extracting #3: cost 63 inf + 0
524.299 * * [simplify]: Extracting #4: cost 118 inf + 42
524.299 * * [simplify]: Extracting #5: cost 161 inf + 248
524.300 * * [simplify]: Extracting #6: cost 225 inf + 2365
524.301 * * [simplify]: Extracting #7: cost 217 inf + 5973
524.304 * * [simplify]: Extracting #8: cost 162 inf + 14963
524.310 * * [simplify]: Extracting #9: cost 88 inf + 38474
524.321 * * [simplify]: Extracting #10: cost 29 inf + 71310
524.339 * * [simplify]: Extracting #11: cost 3 inf + 98000
524.359 * * [simplify]: Extracting #12: cost 1 inf + 101530
524.380 * * [simplify]: Extracting #13: cost 0 inf + 103315
524.401 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))))
524.402 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
524.402 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
524.402 * * [simplify]: iters left: 6 (25 enodes)
524.408 * * [simplify]: iters left: 5 (119 enodes)
524.430 * * [simplify]: iters left: 4 (303 enodes)
524.524 * * [simplify]: Extracting #0: cost 1 inf + 0
524.524 * * [simplify]: Extracting #1: cost 3 inf + 0
524.524 * * [simplify]: Extracting #2: cost 29 inf + 0
524.524 * * [simplify]: Extracting #3: cost 132 inf + 0
524.525 * * [simplify]: Extracting #4: cost 211 inf + 85
524.526 * * [simplify]: Extracting #5: cost 249 inf + 739
524.528 * * [simplify]: Extracting #6: cost 209 inf + 5179
524.534 * * [simplify]: Extracting #7: cost 98 inf + 37754
524.552 * * [simplify]: Extracting #8: cost 6 inf + 79549
524.573 * * [simplify]: Extracting #9: cost 0 inf + 83132
524.595 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))
524.595 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))))
524.595 * * * * [progress]: [ 737 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
524.596 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
524.596 * * [simplify]: iters left: 6 (46 enodes)
524.611 * * [simplify]: iters left: 5 (224 enodes)
524.655 * * [simplify]: Extracting #0: cost 1 inf + 0
524.656 * * [simplify]: Extracting #1: cost 3 inf + 0
524.656 * * [simplify]: Extracting #2: cost 10 inf + 0
524.656 * * [simplify]: Extracting #3: cost 58 inf + 0
524.656 * * [simplify]: Extracting #4: cost 104 inf + 44
524.656 * * [simplify]: Extracting #5: cost 130 inf + 904
524.657 * * [simplify]: Extracting #6: cost 196 inf + 2932
524.659 * * [simplify]: Extracting #7: cost 200 inf + 3587
524.661 * * [simplify]: Extracting #8: cost 134 inf + 16209
524.668 * * [simplify]: Extracting #9: cost 58 inf + 44619
524.685 * * [simplify]: Extracting #10: cost 13 inf + 75336
524.701 * * [simplify]: Extracting #11: cost 0 inf + 83193
524.717 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
524.717 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
524.718 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
524.718 * * [simplify]: iters left: 6 (21 enodes)
524.723 * * [simplify]: iters left: 5 (101 enodes)
524.742 * * [simplify]: iters left: 4 (255 enodes)
524.812 * * [simplify]: Extracting #0: cost 1 inf + 0
524.812 * * [simplify]: Extracting #1: cost 3 inf + 0
524.812 * * [simplify]: Extracting #2: cost 17 inf + 0
524.812 * * [simplify]: Extracting #3: cost 62 inf + 0
524.812 * * [simplify]: Extracting #4: cost 113 inf + 2
524.813 * * [simplify]: Extracting #5: cost 165 inf + 44
524.814 * * [simplify]: Extracting #6: cost 152 inf + 662
524.817 * * [simplify]: Extracting #7: cost 76 inf + 12378
524.827 * * [simplify]: Extracting #8: cost 9 inf + 35479
524.837 * * [simplify]: Extracting #9: cost 0 inf + 39267
524.847 * [simplify]: Simplified to (sqrt (* (+ phi2 phi1) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))
524.847 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (+ phi2 phi1) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))))
524.848 * * * * [progress]: [ 738 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
524.848 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
524.849 * * [simplify]: iters left: 6 (47 enodes)
524.861 * * [simplify]: iters left: 5 (232 enodes)
524.911 * * [simplify]: Extracting #0: cost 1 inf + 0
524.911 * * [simplify]: Extracting #1: cost 3 inf + 0
524.911 * * [simplify]: Extracting #2: cost 6 inf + 0
524.911 * * [simplify]: Extracting #3: cost 54 inf + 0
524.912 * * [simplify]: Extracting #4: cost 120 inf + 0
524.912 * * [simplify]: Extracting #5: cost 192 inf + 0
524.913 * * [simplify]: Extracting #6: cost 260 inf + 1056
524.914 * * [simplify]: Extracting #7: cost 229 inf + 8739
524.918 * * [simplify]: Extracting #8: cost 136 inf + 25911
524.928 * * [simplify]: Extracting #9: cost 44 inf + 64517
524.946 * * [simplify]: Extracting #10: cost 5 inf + 99340
524.966 * * [simplify]: Extracting #11: cost 0 inf + 106225
524.989 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))
524.989 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
524.990 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
524.990 * * [simplify]: iters left: 6 (24 enodes)
524.995 * * [simplify]: iters left: 5 (114 enodes)
525.017 * * [simplify]: iters left: 4 (334 enodes)
525.153 * * [simplify]: Extracting #0: cost 1 inf + 0
525.153 * * [simplify]: Extracting #1: cost 3 inf + 0
525.153 * * [simplify]: Extracting #2: cost 39 inf + 0
525.154 * * [simplify]: Extracting #3: cost 289 inf + 0
525.155 * * [simplify]: Extracting #4: cost 446 inf + 166
525.159 * * [simplify]: Extracting #5: cost 413 inf + 11527
525.178 * * [simplify]: Extracting #6: cost 171 inf + 107827
525.222 * * [simplify]: Extracting #7: cost 4 inf + 181491
525.266 * * [simplify]: Extracting #8: cost 0 inf + 178065
525.310 * * [simplify]: Extracting #9: cost 0 inf + 177745
525.352 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))
525.352 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))))))
525.353 * * * * [progress]: [ 739 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
525.353 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
525.354 * * [simplify]: iters left: 6 (48 enodes)
525.366 * * [simplify]: iters left: 5 (241 enodes)
525.420 * * [simplify]: Extracting #0: cost 1 inf + 0
525.420 * * [simplify]: Extracting #1: cost 3 inf + 0
525.420 * * [simplify]: Extracting #2: cost 6 inf + 0
525.420 * * [simplify]: Extracting #3: cost 58 inf + 0
525.421 * * [simplify]: Extracting #4: cost 143 inf + 0
525.421 * * [simplify]: Extracting #5: cost 201 inf + 412
525.423 * * [simplify]: Extracting #6: cost 230 inf + 6338
525.425 * * [simplify]: Extracting #7: cost 214 inf + 11171
525.429 * * [simplify]: Extracting #8: cost 143 inf + 28677
525.444 * * [simplify]: Extracting #9: cost 43 inf + 75242
525.463 * * [simplify]: Extracting #10: cost 6 inf + 99499
525.483 * * [simplify]: Extracting #11: cost 0 inf + 104562
525.503 * * [simplify]: Extracting #12: cost 0 inf + 104402
525.523 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
525.523 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
525.524 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
525.524 * * [simplify]: iters left: 6 (25 enodes)
525.530 * * [simplify]: iters left: 5 (118 enodes)
525.554 * * [simplify]: iters left: 4 (331 enodes)
525.680 * * [simplify]: Extracting #0: cost 1 inf + 0
525.680 * * [simplify]: Extracting #1: cost 3 inf + 0
525.680 * * [simplify]: Extracting #2: cost 64 inf + 0
525.681 * * [simplify]: Extracting #3: cost 289 inf + 0
525.682 * * [simplify]: Extracting #4: cost 381 inf + 85
525.685 * * [simplify]: Extracting #5: cost 391 inf + 6600
525.692 * * [simplify]: Extracting #6: cost 268 inf + 30699
525.716 * * [simplify]: Extracting #7: cost 75 inf + 110507
525.756 * * [simplify]: Extracting #8: cost 4 inf + 153419
525.793 * * [simplify]: Extracting #9: cost 0 inf + 156155
525.831 * [simplify]: Simplified to (sqrt (* (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi2 phi1)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))
525.831 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi2 phi1)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))))
525.831 * * * * [progress]: [ 740 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
525.832 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
525.832 * * [simplify]: iters left: 6 (48 enodes)
525.845 * * [simplify]: iters left: 5 (241 enodes)
525.896 * * [simplify]: Extracting #0: cost 1 inf + 0
525.897 * * [simplify]: Extracting #1: cost 3 inf + 0
525.897 * * [simplify]: Extracting #2: cost 6 inf + 0
525.897 * * [simplify]: Extracting #3: cost 60 inf + 0
525.897 * * [simplify]: Extracting #4: cost 141 inf + 0
525.897 * * [simplify]: Extracting #5: cost 197 inf + 332
525.899 * * [simplify]: Extracting #6: cost 242 inf + 3669
525.901 * * [simplify]: Extracting #7: cost 219 inf + 10265
525.906 * * [simplify]: Extracting #8: cost 160 inf + 19828
525.913 * * [simplify]: Extracting #9: cost 89 inf + 47212
525.929 * * [simplify]: Extracting #10: cost 16 inf + 89815
525.949 * * [simplify]: Extracting #11: cost 0 inf + 104994
525.971 * * [simplify]: Extracting #12: cost 0 inf + 104714
525.992 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))
525.992 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
525.992 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
525.993 * * [simplify]: iters left: 6 (25 enodes)
526.000 * * [simplify]: iters left: 5 (118 enodes)
526.025 * * [simplify]: iters left: 4 (329 enodes)
526.147 * * [simplify]: Extracting #0: cost 1 inf + 0
526.147 * * [simplify]: Extracting #1: cost 3 inf + 0
526.147 * * [simplify]: Extracting #2: cost 56 inf + 0
526.148 * * [simplify]: Extracting #3: cost 271 inf + 0
526.149 * * [simplify]: Extracting #4: cost 349 inf + 414
526.152 * * [simplify]: Extracting #5: cost 346 inf + 8755
526.157 * * [simplify]: Extracting #6: cost 252 inf + 27245
526.175 * * [simplify]: Extracting #7: cost 81 inf + 94155
526.210 * * [simplify]: Extracting #8: cost 4 inf + 139283
526.244 * * [simplify]: Extracting #9: cost 0 inf + 141859
526.278 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))
526.278 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))))
526.279 * * * * [progress]: [ 741 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
526.279 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
526.280 * * [simplify]: iters left: 6 (42 enodes)
526.292 * * [simplify]: iters left: 5 (205 enodes)
526.335 * * [simplify]: Extracting #0: cost 1 inf + 0
526.335 * * [simplify]: Extracting #1: cost 3 inf + 0
526.335 * * [simplify]: Extracting #2: cost 6 inf + 0
526.335 * * [simplify]: Extracting #3: cost 52 inf + 0
526.335 * * [simplify]: Extracting #4: cost 109 inf + 0
526.336 * * [simplify]: Extracting #5: cost 149 inf + 85
526.336 * * [simplify]: Extracting #6: cost 204 inf + 1313
526.338 * * [simplify]: Extracting #7: cost 195 inf + 3955
526.341 * * [simplify]: Extracting #8: cost 121 inf + 18358
526.349 * * [simplify]: Extracting #9: cost 46 inf + 49493
526.364 * * [simplify]: Extracting #10: cost 9 inf + 75805
526.383 * * [simplify]: Extracting #11: cost 0 inf + 83013
526.400 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))))
526.400 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
526.401 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))
526.401 * * [simplify]: iters left: 6 (20 enodes)
526.406 * * [simplify]: iters left: 5 (96 enodes)
526.424 * * [simplify]: iters left: 4 (259 enodes)
526.494 * * [simplify]: Extracting #0: cost 1 inf + 0
526.494 * * [simplify]: Extracting #1: cost 3 inf + 0
526.494 * * [simplify]: Extracting #2: cost 29 inf + 0
526.495 * * [simplify]: Extracting #3: cost 133 inf + 0
526.495 * * [simplify]: Extracting #4: cost 184 inf + 412
526.496 * * [simplify]: Extracting #5: cost 213 inf + 3904
526.499 * * [simplify]: Extracting #6: cost 166 inf + 10488
526.508 * * [simplify]: Extracting #7: cost 45 inf + 44304
526.525 * * [simplify]: Extracting #8: cost 3 inf + 63121
526.541 * * [simplify]: Extracting #9: cost 0 inf + 64811
526.557 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))
526.557 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))))
526.558 * * * * [progress]: [ 742 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
526.558 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
526.558 * * [simplify]: iters left: 6 (47 enodes)
526.571 * * [simplify]: iters left: 5 (233 enodes)
526.621 * * [simplify]: Extracting #0: cost 1 inf + 0
526.621 * * [simplify]: Extracting #1: cost 3 inf + 0
526.621 * * [simplify]: Extracting #2: cost 10 inf + 0
526.621 * * [simplify]: Extracting #3: cost 72 inf + 0
526.621 * * [simplify]: Extracting #4: cost 126 inf + 42
526.622 * * [simplify]: Extracting #5: cost 170 inf + 290
526.623 * * [simplify]: Extracting #6: cost 222 inf + 3091
526.625 * * [simplify]: Extracting #7: cost 207 inf + 7113
526.628 * * [simplify]: Extracting #8: cost 142 inf + 17585
526.634 * * [simplify]: Extracting #9: cost 88 inf + 39110
526.646 * * [simplify]: Extracting #10: cost 28 inf + 69724
526.664 * * [simplify]: Extracting #11: cost 3 inf + 92869
526.686 * * [simplify]: Extracting #12: cost 0 inf + 98184
526.706 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))
526.706 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
526.706 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
526.707 * * [simplify]: iters left: 6 (23 enodes)
526.712 * * [simplify]: iters left: 5 (109 enodes)
526.732 * * [simplify]: iters left: 4 (276 enodes)
526.807 * * [simplify]: Extracting #0: cost 1 inf + 0
526.807 * * [simplify]: Extracting #1: cost 3 inf + 0
526.807 * * [simplify]: Extracting #2: cost 28 inf + 0
526.808 * * [simplify]: Extracting #3: cost 107 inf + 0
526.808 * * [simplify]: Extracting #4: cost 187 inf + 85
526.809 * * [simplify]: Extracting #5: cost 235 inf + 618
526.811 * * [simplify]: Extracting #6: cost 187 inf + 7767
526.822 * * [simplify]: Extracting #7: cost 59 inf + 42717
526.837 * * [simplify]: Extracting #8: cost 2 inf + 68627
526.855 * * [simplify]: Extracting #9: cost 0 inf + 70075
526.872 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))
526.872 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))))
526.873 * * * * [progress]: [ 743 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
526.873 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
526.874 * * [simplify]: iters left: 6 (42 enodes)
526.884 * * [simplify]: iters left: 5 (205 enodes)
526.927 * * [simplify]: Extracting #0: cost 1 inf + 0
526.927 * * [simplify]: Extracting #1: cost 3 inf + 0
526.927 * * [simplify]: Extracting #2: cost 10 inf + 0
526.928 * * [simplify]: Extracting #3: cost 64 inf + 0
526.928 * * [simplify]: Extracting #4: cost 107 inf + 44
526.928 * * [simplify]: Extracting #5: cost 134 inf + 1228
526.929 * * [simplify]: Extracting #6: cost 192 inf + 2932
526.930 * * [simplify]: Extracting #7: cost 195 inf + 3790
526.933 * * [simplify]: Extracting #8: cost 135 inf + 13525
526.939 * * [simplify]: Extracting #9: cost 75 inf + 33897
526.953 * * [simplify]: Extracting #10: cost 11 inf + 71061
526.969 * * [simplify]: Extracting #11: cost 0 inf + 79263
526.986 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)))) (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
526.987 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)))) (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
526.987 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))
526.987 * * [simplify]: iters left: 6 (19 enodes)
526.992 * * [simplify]: iters left: 5 (91 enodes)
527.008 * * [simplify]: iters left: 4 (219 enodes)
527.058 * * [simplify]: Extracting #0: cost 1 inf + 0
527.058 * * [simplify]: Extracting #1: cost 3 inf + 0
527.058 * * [simplify]: Extracting #2: cost 18 inf + 0
527.059 * * [simplify]: Extracting #3: cost 44 inf + 0
527.059 * * [simplify]: Extracting #4: cost 89 inf + 86
527.059 * * [simplify]: Extracting #5: cost 141 inf + 86
527.060 * * [simplify]: Extracting #6: cost 120 inf + 2801
527.065 * * [simplify]: Extracting #7: cost 24 inf + 23615
527.073 * * [simplify]: Extracting #8: cost 1 inf + 30723
527.081 * * [simplify]: Extracting #9: cost 0 inf + 30447
527.089 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
527.089 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
527.089 * * * * [progress]: [ 744 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
527.089 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
527.090 * * [simplify]: iters left: 6 (47 enodes)
527.102 * * [simplify]: iters left: 5 (233 enodes)
527.153 * * [simplify]: Extracting #0: cost 1 inf + 0
527.153 * * [simplify]: Extracting #1: cost 3 inf + 0
527.153 * * [simplify]: Extracting #2: cost 10 inf + 0
527.153 * * [simplify]: Extracting #3: cost 72 inf + 0
527.153 * * [simplify]: Extracting #4: cost 126 inf + 42
527.154 * * [simplify]: Extracting #5: cost 169 inf + 332
527.155 * * [simplify]: Extracting #6: cost 219 inf + 3617
527.156 * * [simplify]: Extracting #7: cost 206 inf + 7285
527.159 * * [simplify]: Extracting #8: cost 140 inf + 18671
527.165 * * [simplify]: Extracting #9: cost 89 inf + 38746
527.176 * * [simplify]: Extracting #10: cost 28 inf + 70684
527.194 * * [simplify]: Extracting #11: cost 3 inf + 93829
527.216 * * [simplify]: Extracting #12: cost 0 inf + 99144
527.237 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))
527.237 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
527.237 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
527.237 * * [simplify]: iters left: 6 (23 enodes)
527.243 * * [simplify]: iters left: 5 (109 enodes)
527.263 * * [simplify]: iters left: 4 (276 enodes)
527.340 * * [simplify]: Extracting #0: cost 1 inf + 0
527.340 * * [simplify]: Extracting #1: cost 3 inf + 0
527.340 * * [simplify]: Extracting #2: cost 28 inf + 0
527.340 * * [simplify]: Extracting #3: cost 107 inf + 0
527.341 * * [simplify]: Extracting #4: cost 187 inf + 85
527.342 * * [simplify]: Extracting #5: cost 235 inf + 618
527.347 * * [simplify]: Extracting #6: cost 187 inf + 7767
527.355 * * [simplify]: Extracting #7: cost 59 inf + 42717
527.371 * * [simplify]: Extracting #8: cost 2 inf + 68627
527.389 * * [simplify]: Extracting #9: cost 0 inf + 70075
527.407 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))
527.407 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))))
527.408 * * * * [progress]: [ 745 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
527.408 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
527.408 * * [simplify]: iters left: 6 (42 enodes)
527.420 * * [simplify]: iters left: 5 (205 enodes)
527.463 * * [simplify]: Extracting #0: cost 1 inf + 0
527.463 * * [simplify]: Extracting #1: cost 3 inf + 0
527.463 * * [simplify]: Extracting #2: cost 10 inf + 0
527.463 * * [simplify]: Extracting #3: cost 63 inf + 0
527.463 * * [simplify]: Extracting #4: cost 107 inf + 44
527.464 * * [simplify]: Extracting #5: cost 135 inf + 1106
527.465 * * [simplify]: Extracting #6: cost 192 inf + 2932
527.466 * * [simplify]: Extracting #7: cost 195 inf + 3790
527.468 * * [simplify]: Extracting #8: cost 134 inf + 13543
527.474 * * [simplify]: Extracting #9: cost 76 inf + 33685
527.487 * * [simplify]: Extracting #10: cost 11 inf + 71040
527.507 * * [simplify]: Extracting #11: cost 0 inf + 79663
527.525 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
527.525 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (+ phi2 phi1) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
527.526 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))
527.526 * * [simplify]: iters left: 6 (19 enodes)
527.530 * * [simplify]: iters left: 5 (91 enodes)
527.547 * * [simplify]: iters left: 4 (219 enodes)
527.599 * * [simplify]: Extracting #0: cost 1 inf + 0
527.599 * * [simplify]: Extracting #1: cost 3 inf + 0
527.599 * * [simplify]: Extracting #2: cost 18 inf + 0
527.599 * * [simplify]: Extracting #3: cost 44 inf + 0
527.599 * * [simplify]: Extracting #4: cost 89 inf + 86
527.600 * * [simplify]: Extracting #5: cost 141 inf + 86
527.600 * * [simplify]: Extracting #6: cost 120 inf + 2801
527.605 * * [simplify]: Extracting #7: cost 24 inf + 23615
527.613 * * [simplify]: Extracting #8: cost 1 inf + 30723
527.621 * * [simplify]: Extracting #9: cost 0 inf + 30447
527.629 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
527.629 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
527.629 * * * * [progress]: [ 746 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
527.630 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
527.630 * * [simplify]: iters left: 6 (52 enodes)
527.643 * * [simplify]: iters left: 5 (254 enodes)
527.699 * * [simplify]: Extracting #0: cost 1 inf + 0
527.699 * * [simplify]: Extracting #1: cost 3 inf + 0
527.699 * * [simplify]: Extracting #2: cost 6 inf + 0
527.699 * * [simplify]: Extracting #3: cost 56 inf + 0
527.699 * * [simplify]: Extracting #4: cost 130 inf + 0
527.700 * * [simplify]: Extracting #5: cost 210 inf + 0
527.700 * * [simplify]: Extracting #6: cost 294 inf + 510
527.702 * * [simplify]: Extracting #7: cost 240 inf + 11154
527.706 * * [simplify]: Extracting #8: cost 171 inf + 21766
527.713 * * [simplify]: Extracting #9: cost 105 inf + 49609
527.726 * * [simplify]: Extracting #10: cost 47 inf + 74961
527.748 * * [simplify]: Extracting #11: cost 12 inf + 114876
527.773 * * [simplify]: Extracting #12: cost 1 inf + 127871
527.798 * * [simplify]: Extracting #13: cost 0 inf + 129976
527.825 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))
527.825 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
527.826 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
527.826 * * [simplify]: iters left: 6 (25 enodes)
527.832 * * [simplify]: iters left: 5 (117 enodes)
527.856 * * [simplify]: iters left: 4 (342 enodes)
527.992 * * [simplify]: Extracting #0: cost 1 inf + 0
527.993 * * [simplify]: Extracting #1: cost 3 inf + 0
527.993 * * [simplify]: Extracting #2: cost 45 inf + 0
527.993 * * [simplify]: Extracting #3: cost 307 inf + 0
527.995 * * [simplify]: Extracting #4: cost 480 inf + 84
527.999 * * [simplify]: Extracting #5: cost 462 inf + 13615
528.008 * * [simplify]: Extracting #6: cost 336 inf + 37562
528.036 * * [simplify]: Extracting #7: cost 139 inf + 128970
528.085 * * [simplify]: Extracting #8: cost 2 inf + 218413
528.138 * * [simplify]: Extracting #9: cost 0 inf + 219861
528.189 * [simplify]: Simplified to (sqrt (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))
528.189 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))))
528.189 * * * * [progress]: [ 747 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
528.190 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
528.190 * * [simplify]: iters left: 6 (53 enodes)
528.204 * * [simplify]: iters left: 5 (263 enodes)
528.261 * * [simplify]: Extracting #0: cost 1 inf + 0
528.261 * * [simplify]: Extracting #1: cost 3 inf + 0
528.261 * * [simplify]: Extracting #2: cost 6 inf + 0
528.261 * * [simplify]: Extracting #3: cost 60 inf + 0
528.262 * * [simplify]: Extracting #4: cost 153 inf + 0
528.262 * * [simplify]: Extracting #5: cost 224 inf + 44
528.263 * * [simplify]: Extracting #6: cost 275 inf + 3672
528.266 * * [simplify]: Extracting #7: cost 234 inf + 10604
528.271 * * [simplify]: Extracting #8: cost 146 inf + 35951
528.290 * * [simplify]: Extracting #9: cost 26 inf + 114268
528.313 * * [simplify]: Extracting #10: cost 2 inf + 126246
528.337 * * [simplify]: Extracting #11: cost 0 inf + 128993
528.361 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
528.361 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
528.362 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
528.363 * * [simplify]: iters left: 6 (26 enodes)
528.368 * * [simplify]: iters left: 5 (121 enodes)
528.393 * * [simplify]: iters left: 4 (339 enodes)
528.529 * * [simplify]: Extracting #0: cost 1 inf + 0
528.529 * * [simplify]: Extracting #1: cost 3 inf + 0
528.529 * * [simplify]: Extracting #2: cost 69 inf + 0
528.530 * * [simplify]: Extracting #3: cost 325 inf + 0
528.531 * * [simplify]: Extracting #4: cost 429 inf + 493
528.534 * * [simplify]: Extracting #5: cost 442 inf + 7129
528.540 * * [simplify]: Extracting #6: cost 358 inf + 22954
528.559 * * [simplify]: Extracting #7: cost 165 inf + 104047
528.602 * * [simplify]: Extracting #8: cost 3 inf + 198985
528.645 * * [simplify]: Extracting #9: cost 0 inf + 200597
528.689 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1))))
528.689 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)))))))
528.690 * * * * [progress]: [ 748 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
528.690 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
528.691 * * [simplify]: iters left: 6 (53 enodes)
528.704 * * [simplify]: iters left: 5 (263 enodes)
528.765 * * [simplify]: Extracting #0: cost 1 inf + 0
528.765 * * [simplify]: Extracting #1: cost 3 inf + 0
528.765 * * [simplify]: Extracting #2: cost 6 inf + 0
528.765 * * [simplify]: Extracting #3: cost 62 inf + 0
528.766 * * [simplify]: Extracting #4: cost 151 inf + 0
528.766 * * [simplify]: Extracting #5: cost 220 inf + 44
528.767 * * [simplify]: Extracting #6: cost 271 inf + 3752
528.770 * * [simplify]: Extracting #7: cost 230 inf + 10603
528.773 * * [simplify]: Extracting #8: cost 178 inf + 20252
528.780 * * [simplify]: Extracting #9: cost 117 inf + 40595
528.791 * * [simplify]: Extracting #10: cost 60 inf + 68306
528.810 * * [simplify]: Extracting #11: cost 10 inf + 115015
528.837 * * [simplify]: Extracting #12: cost 0 inf + 126665
528.861 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
528.861 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
528.862 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
528.862 * * [simplify]: iters left: 6 (26 enodes)
528.868 * * [simplify]: iters left: 5 (121 enodes)
528.891 * * [simplify]: iters left: 4 (337 enodes)
529.016 * * [simplify]: Extracting #0: cost 1 inf + 0
529.017 * * [simplify]: Extracting #1: cost 3 inf + 0
529.017 * * [simplify]: Extracting #2: cost 61 inf + 0
529.017 * * [simplify]: Extracting #3: cost 299 inf + 0
529.019 * * [simplify]: Extracting #4: cost 388 inf + 450
529.025 * * [simplify]: Extracting #5: cost 405 inf + 4997
529.029 * * [simplify]: Extracting #6: cost 334 inf + 14849
529.047 * * [simplify]: Extracting #7: cost 155 inf + 88769
529.082 * * [simplify]: Extracting #8: cost 3 inf + 171899
529.121 * * [simplify]: Extracting #9: cost 0 inf + 173991
529.160 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
529.160 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
529.161 * * * * [progress]: [ 749 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
529.161 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
529.161 * * [simplify]: iters left: 6 (47 enodes)
529.173 * * [simplify]: iters left: 5 (227 enodes)
529.221 * * [simplify]: Extracting #0: cost 1 inf + 0
529.221 * * [simplify]: Extracting #1: cost 3 inf + 0
529.221 * * [simplify]: Extracting #2: cost 6 inf + 0
529.221 * * [simplify]: Extracting #3: cost 54 inf + 0
529.221 * * [simplify]: Extracting #4: cost 119 inf + 0
529.222 * * [simplify]: Extracting #5: cost 168 inf + 44
529.222 * * [simplify]: Extracting #6: cost 236 inf + 1233
529.224 * * [simplify]: Extracting #7: cost 221 inf + 3915
529.227 * * [simplify]: Extracting #8: cost 134 inf + 23603
529.237 * * [simplify]: Extracting #9: cost 62 inf + 55374
529.253 * * [simplify]: Extracting #10: cost 9 inf + 95701
529.274 * * [simplify]: Extracting #11: cost 1 inf + 101819
529.297 * * [simplify]: Extracting #12: cost 0 inf + 102564
529.317 * * [simplify]: Extracting #13: cost 0 inf + 102524
529.338 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1))))))
529.338 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
529.339 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
529.339 * * [simplify]: iters left: 6 (21 enodes)
529.344 * * [simplify]: iters left: 5 (99 enodes)
529.363 * * [simplify]: iters left: 4 (267 enodes)
529.439 * * [simplify]: Extracting #0: cost 1 inf + 0
529.439 * * [simplify]: Extracting #1: cost 3 inf + 0
529.439 * * [simplify]: Extracting #2: cost 35 inf + 0
529.439 * * [simplify]: Extracting #3: cost 155 inf + 0
529.440 * * [simplify]: Extracting #4: cost 217 inf + 43
529.441 * * [simplify]: Extracting #5: cost 233 inf + 1388
529.445 * * [simplify]: Extracting #6: cost 139 inf + 27141
529.462 * * [simplify]: Extracting #7: cost 18 inf + 80001
529.481 * * [simplify]: Extracting #8: cost 0 inf + 82297
529.500 * * [simplify]: Extracting #9: cost 0 inf + 80937
529.519 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (+ phi1 phi2))))
529.519 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
529.520 * * * * [progress]: [ 750 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
529.520 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
529.520 * * [simplify]: iters left: 6 (52 enodes)
529.535 * * [simplify]: iters left: 5 (255 enodes)
529.588 * * [simplify]: Extracting #0: cost 1 inf + 0
529.588 * * [simplify]: Extracting #1: cost 3 inf + 0
529.588 * * [simplify]: Extracting #2: cost 10 inf + 0
529.588 * * [simplify]: Extracting #3: cost 74 inf + 0
529.588 * * [simplify]: Extracting #4: cost 137 inf + 1
529.589 * * [simplify]: Extracting #5: cost 190 inf + 207
529.589 * * [simplify]: Extracting #6: cost 258 inf + 2323
529.593 * * [simplify]: Extracting #7: cost 238 inf + 6537
529.596 * * [simplify]: Extracting #8: cost 174 inf + 17888
529.602 * * [simplify]: Extracting #9: cost 114 inf + 38495
529.612 * * [simplify]: Extracting #10: cost 54 inf + 65745
529.630 * * [simplify]: Extracting #11: cost 9 inf + 108830
529.654 * * [simplify]: Extracting #12: cost 0 inf + 119775
529.679 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))))
529.679 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
529.680 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
529.680 * * [simplify]: iters left: 6 (24 enodes)
529.685 * * [simplify]: iters left: 5 (112 enodes)
529.706 * * [simplify]: iters left: 4 (284 enodes)
529.784 * * [simplify]: Extracting #0: cost 1 inf + 0
529.784 * * [simplify]: Extracting #1: cost 3 inf + 0
529.784 * * [simplify]: Extracting #2: cost 33 inf + 0
529.785 * * [simplify]: Extracting #3: cost 141 inf + 0
529.785 * * [simplify]: Extracting #4: cost 222 inf + 290
529.786 * * [simplify]: Extracting #5: cost 243 inf + 1026
529.790 * * [simplify]: Extracting #6: cost 166 inf + 24261
529.809 * * [simplify]: Extracting #7: cost 14 inf + 94184
529.834 * * [simplify]: Extracting #8: cost 0 inf + 93714
529.856 * * [simplify]: Extracting #9: cost 0 inf + 92354
529.878 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
529.878 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
529.879 * * * * [progress]: [ 751 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
529.879 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
529.880 * * [simplify]: iters left: 6 (47 enodes)
529.892 * * [simplify]: iters left: 5 (227 enodes)
529.939 * * [simplify]: Extracting #0: cost 1 inf + 0
529.939 * * [simplify]: Extracting #1: cost 3 inf + 0
529.940 * * [simplify]: Extracting #2: cost 10 inf + 0
529.940 * * [simplify]: Extracting #3: cost 66 inf + 0
529.940 * * [simplify]: Extracting #4: cost 117 inf + 44
529.940 * * [simplify]: Extracting #5: cost 151 inf + 1510
529.941 * * [simplify]: Extracting #6: cost 223 inf + 2972
529.943 * * [simplify]: Extracting #7: cost 224 inf + 3627
529.946 * * [simplify]: Extracting #8: cost 142 inf + 23912
529.955 * * [simplify]: Extracting #9: cost 64 inf + 53383
529.971 * * [simplify]: Extracting #10: cost 11 inf + 90994
529.996 * * [simplify]: Extracting #11: cost 1 inf + 100949
530.017 * * [simplify]: Extracting #12: cost 0 inf + 102654
530.038 * * [simplify]: Extracting #13: cost 0 inf + 102494
530.058 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (+ phi2 phi1))))
530.058 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (+ phi2 phi1)))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
530.059 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
530.059 * * [simplify]: iters left: 6 (20 enodes)
530.064 * * [simplify]: iters left: 5 (94 enodes)
530.080 * * [simplify]: iters left: 4 (227 enodes)
530.131 * * [simplify]: Extracting #0: cost 1 inf + 0
530.131 * * [simplify]: Extracting #1: cost 3 inf + 0
530.131 * * [simplify]: Extracting #2: cost 23 inf + 0
530.132 * * [simplify]: Extracting #3: cost 70 inf + 0
530.132 * * [simplify]: Extracting #4: cost 117 inf + 2
530.132 * * [simplify]: Extracting #5: cost 150 inf + 44
530.133 * * [simplify]: Extracting #6: cost 129 inf + 2078
530.139 * * [simplify]: Extracting #7: cost 35 inf + 30149
530.149 * * [simplify]: Extracting #8: cost 2 inf + 42282
530.160 * * [simplify]: Extracting #9: cost 0 inf + 40889
530.170 * * [simplify]: Extracting #10: cost 0 inf + 40769
530.179 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))
530.179 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))
530.180 * * * * [progress]: [ 752 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
530.180 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
530.180 * * [simplify]: iters left: 6 (52 enodes)
530.194 * * [simplify]: iters left: 5 (255 enodes)
530.251 * * [simplify]: Extracting #0: cost 1 inf + 0
530.251 * * [simplify]: Extracting #1: cost 3 inf + 0
530.251 * * [simplify]: Extracting #2: cost 10 inf + 0
530.251 * * [simplify]: Extracting #3: cost 74 inf + 0
530.252 * * [simplify]: Extracting #4: cost 137 inf + 1
530.252 * * [simplify]: Extracting #5: cost 190 inf + 207
530.253 * * [simplify]: Extracting #6: cost 257 inf + 2483
530.255 * * [simplify]: Extracting #7: cost 234 inf + 7395
530.258 * * [simplify]: Extracting #8: cost 175 inf + 17636
530.264 * * [simplify]: Extracting #9: cost 113 inf + 40279
530.274 * * [simplify]: Extracting #10: cost 53 inf + 67570
530.295 * * [simplify]: Extracting #11: cost 9 inf + 109790
530.322 * * [simplify]: Extracting #12: cost 0 inf + 120735
530.346 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))))
530.346 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
530.347 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
530.347 * * [simplify]: iters left: 6 (24 enodes)
530.352 * * [simplify]: iters left: 5 (112 enodes)
530.372 * * [simplify]: iters left: 4 (284 enodes)
530.451 * * [simplify]: Extracting #0: cost 1 inf + 0
530.451 * * [simplify]: Extracting #1: cost 3 inf + 0
530.451 * * [simplify]: Extracting #2: cost 33 inf + 0
530.451 * * [simplify]: Extracting #3: cost 141 inf + 0
530.452 * * [simplify]: Extracting #4: cost 222 inf + 290
530.456 * * [simplify]: Extracting #5: cost 243 inf + 1026
530.460 * * [simplify]: Extracting #6: cost 166 inf + 24261
530.478 * * [simplify]: Extracting #7: cost 14 inf + 94184
530.501 * * [simplify]: Extracting #8: cost 0 inf + 93714
530.524 * * [simplify]: Extracting #9: cost 0 inf + 92354
530.546 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
530.546 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
530.547 * * * * [progress]: [ 753 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
530.547 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
530.547 * * [simplify]: iters left: 6 (47 enodes)
530.560 * * [simplify]: iters left: 5 (227 enodes)
530.609 * * [simplify]: Extracting #0: cost 1 inf + 0
530.609 * * [simplify]: Extracting #1: cost 3 inf + 0
530.609 * * [simplify]: Extracting #2: cost 10 inf + 0
530.609 * * [simplify]: Extracting #3: cost 65 inf + 0
530.610 * * [simplify]: Extracting #4: cost 114 inf + 370
530.610 * * [simplify]: Extracting #5: cost 147 inf + 2078
530.611 * * [simplify]: Extracting #6: cost 223 inf + 2932
530.613 * * [simplify]: Extracting #7: cost 224 inf + 3547
530.616 * * [simplify]: Extracting #8: cost 144 inf + 19984
530.628 * * [simplify]: Extracting #9: cost 52 inf + 61931
530.645 * * [simplify]: Extracting #10: cost 5 inf + 95931
530.664 * * [simplify]: Extracting #11: cost 1 inf + 100189
530.684 * * [simplify]: Extracting #12: cost 0 inf + 102014
530.703 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
530.704 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
530.704 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
530.704 * * [simplify]: iters left: 6 (20 enodes)
530.709 * * [simplify]: iters left: 5 (94 enodes)
530.727 * * [simplify]: iters left: 4 (227 enodes)
530.777 * * [simplify]: Extracting #0: cost 1 inf + 0
530.777 * * [simplify]: Extracting #1: cost 3 inf + 0
530.777 * * [simplify]: Extracting #2: cost 23 inf + 0
530.777 * * [simplify]: Extracting #3: cost 70 inf + 0
530.777 * * [simplify]: Extracting #4: cost 117 inf + 2
530.778 * * [simplify]: Extracting #5: cost 150 inf + 44
530.778 * * [simplify]: Extracting #6: cost 129 inf + 2078
530.785 * * [simplify]: Extracting #7: cost 35 inf + 30149
530.796 * * [simplify]: Extracting #8: cost 2 inf + 42282
530.805 * * [simplify]: Extracting #9: cost 0 inf + 40889
530.815 * * [simplify]: Extracting #10: cost 0 inf + 40769
530.825 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))
530.825 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))
530.825 * * * * [progress]: [ 754 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
530.825 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
530.826 * * [simplify]: iters left: 6 (52 enodes)
530.839 * * [simplify]: iters left: 5 (253 enodes)
530.893 * * [simplify]: Extracting #0: cost 1 inf + 0
530.894 * * [simplify]: Extracting #1: cost 3 inf + 0
530.894 * * [simplify]: Extracting #2: cost 6 inf + 0
530.894 * * [simplify]: Extracting #3: cost 56 inf + 0
530.894 * * [simplify]: Extracting #4: cost 130 inf + 0
530.894 * * [simplify]: Extracting #5: cost 210 inf + 0
530.895 * * [simplify]: Extracting #6: cost 278 inf + 1784
530.897 * * [simplify]: Extracting #7: cost 220 inf + 12712
530.904 * * [simplify]: Extracting #8: cost 123 inf + 40089
530.916 * * [simplify]: Extracting #9: cost 44 inf + 72439
530.937 * * [simplify]: Extracting #10: cost 4 inf + 119194
530.964 * * [simplify]: Extracting #11: cost 0 inf + 124494
530.987 * * [simplify]: Extracting #12: cost 0 inf + 124174
531.011 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))))))
531.011 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
531.012 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
531.012 * * [simplify]: iters left: 6 (25 enodes)
531.018 * * [simplify]: iters left: 5 (117 enodes)
531.043 * * [simplify]: iters left: 4 (342 enodes)
531.180 * * [simplify]: Extracting #0: cost 1 inf + 0
531.180 * * [simplify]: Extracting #1: cost 3 inf + 0
531.180 * * [simplify]: Extracting #2: cost 45 inf + 0
531.180 * * [simplify]: Extracting #3: cost 307 inf + 0
531.182 * * [simplify]: Extracting #4: cost 482 inf + 84
531.188 * * [simplify]: Extracting #5: cost 397 inf + 29687
531.217 * * [simplify]: Extracting #6: cost 94 inf + 146230
531.267 * * [simplify]: Extracting #7: cost 1 inf + 206617
531.313 * * [simplify]: Extracting #8: cost 0 inf + 207461
531.361 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))
531.361 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
531.362 * * * * [progress]: [ 755 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
531.362 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
531.362 * * [simplify]: iters left: 6 (53 enodes)
531.377 * * [simplify]: iters left: 5 (262 enodes)
531.440 * * [simplify]: Extracting #0: cost 1 inf + 0
531.440 * * [simplify]: Extracting #1: cost 3 inf + 0
531.440 * * [simplify]: Extracting #2: cost 6 inf + 0
531.440 * * [simplify]: Extracting #3: cost 60 inf + 0
531.441 * * [simplify]: Extracting #4: cost 153 inf + 0
531.441 * * [simplify]: Extracting #5: cost 223 inf + 85
531.443 * * [simplify]: Extracting #6: cost 254 inf + 5824
531.445 * * [simplify]: Extracting #7: cost 217 inf + 12526
531.450 * * [simplify]: Extracting #8: cost 147 inf + 31646
531.460 * * [simplify]: Extracting #9: cost 88 inf + 60223
531.473 * * [simplify]: Extracting #10: cost 46 inf + 77083
531.494 * * [simplify]: Extracting #11: cost 13 inf + 110426
531.517 * * [simplify]: Extracting #12: cost 0 inf + 125471
531.541 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
531.541 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
531.542 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
531.542 * * [simplify]: iters left: 6 (26 enodes)
531.548 * * [simplify]: iters left: 5 (121 enodes)
531.571 * * [simplify]: iters left: 4 (339 enodes)
531.706 * * [simplify]: Extracting #0: cost 1 inf + 0
531.706 * * [simplify]: Extracting #1: cost 3 inf + 0
531.706 * * [simplify]: Extracting #2: cost 69 inf + 0
531.708 * * [simplify]: Extracting #3: cost 325 inf + 0
531.709 * * [simplify]: Extracting #4: cost 431 inf + 493
531.714 * * [simplify]: Extracting #5: cost 379 inf + 21879
531.738 * * [simplify]: Extracting #6: cost 97 inf + 126709
531.779 * * [simplify]: Extracting #7: cost 1 inf + 186393
531.819 * * [simplify]: Extracting #8: cost 0 inf + 187037
531.859 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1))))
531.859 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)))))))
531.859 * * * * [progress]: [ 756 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
531.860 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
531.860 * * [simplify]: iters left: 6 (53 enodes)
531.875 * * [simplify]: iters left: 5 (262 enodes)
531.930 * * [simplify]: Extracting #0: cost 1 inf + 0
531.930 * * [simplify]: Extracting #1: cost 3 inf + 0
531.930 * * [simplify]: Extracting #2: cost 6 inf + 0
531.930 * * [simplify]: Extracting #3: cost 62 inf + 0
531.931 * * [simplify]: Extracting #4: cost 151 inf + 0
531.931 * * [simplify]: Extracting #5: cost 220 inf + 44
531.933 * * [simplify]: Extracting #6: cost 253 inf + 5943
531.938 * * [simplify]: Extracting #7: cost 202 inf + 17361
531.945 * * [simplify]: Extracting #8: cost 142 inf + 36060
531.953 * * [simplify]: Extracting #9: cost 90 inf + 57305
531.965 * * [simplify]: Extracting #10: cost 48 inf + 73063
531.984 * * [simplify]: Extracting #11: cost 14 inf + 109033
532.008 * * [simplify]: Extracting #12: cost 0 inf + 124423
532.034 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
532.034 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
532.035 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
532.035 * * [simplify]: iters left: 6 (26 enodes)
532.041 * * [simplify]: iters left: 5 (121 enodes)
532.064 * * [simplify]: iters left: 4 (337 enodes)
532.192 * * [simplify]: Extracting #0: cost 1 inf + 0
532.192 * * [simplify]: Extracting #1: cost 3 inf + 0
532.192 * * [simplify]: Extracting #2: cost 61 inf + 0
532.192 * * [simplify]: Extracting #3: cost 299 inf + 0
532.194 * * [simplify]: Extracting #4: cost 390 inf + 450
532.197 * * [simplify]: Extracting #5: cost 358 inf + 13408
532.215 * * [simplify]: Extracting #6: cost 120 inf + 96629
532.251 * * [simplify]: Extracting #7: cost 3 inf + 160379
532.286 * * [simplify]: Extracting #8: cost 0 inf + 162351
532.322 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
532.322 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
532.323 * * * * [progress]: [ 757 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
532.323 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
532.323 * * [simplify]: iters left: 6 (47 enodes)
532.336 * * [simplify]: iters left: 5 (226 enodes)
532.383 * * [simplify]: Extracting #0: cost 1 inf + 0
532.383 * * [simplify]: Extracting #1: cost 3 inf + 0
532.383 * * [simplify]: Extracting #2: cost 6 inf + 0
532.383 * * [simplify]: Extracting #3: cost 54 inf + 0
532.383 * * [simplify]: Extracting #4: cost 119 inf + 0
532.384 * * [simplify]: Extracting #5: cost 169 inf + 2
532.387 * * [simplify]: Extracting #6: cost 235 inf + 946
532.388 * * [simplify]: Extracting #7: cost 211 inf + 4655
532.391 * * [simplify]: Extracting #8: cost 138 inf + 19200
532.399 * * [simplify]: Extracting #9: cost 64 inf + 49516
532.414 * * [simplify]: Extracting #10: cost 7 inf + 89747
532.433 * * [simplify]: Extracting #11: cost 1 inf + 96417
532.452 * * [simplify]: Extracting #12: cost 0 inf + 98242
532.471 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))))
532.471 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
532.472 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))
532.472 * * [simplify]: iters left: 6 (21 enodes)
532.477 * * [simplify]: iters left: 5 (99 enodes)
532.496 * * [simplify]: iters left: 4 (267 enodes)
532.569 * * [simplify]: Extracting #0: cost 1 inf + 0
532.569 * * [simplify]: Extracting #1: cost 3 inf + 0
532.569 * * [simplify]: Extracting #2: cost 35 inf + 0
532.569 * * [simplify]: Extracting #3: cost 155 inf + 0
532.570 * * [simplify]: Extracting #4: cost 219 inf + 43
532.573 * * [simplify]: Extracting #5: cost 176 inf + 16254
532.586 * * [simplify]: Extracting #6: cost 21 inf + 70791
532.603 * * [simplify]: Extracting #7: cost 0 inf + 75977
532.622 * * [simplify]: Extracting #8: cost 0 inf + 75417
532.639 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))
532.639 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
532.640 * * * * [progress]: [ 758 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
532.640 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
532.640 * * [simplify]: iters left: 6 (52 enodes)
532.654 * * [simplify]: iters left: 5 (254 enodes)
532.711 * * [simplify]: Extracting #0: cost 1 inf + 0
532.711 * * [simplify]: Extracting #1: cost 3 inf + 0
532.711 * * [simplify]: Extracting #2: cost 10 inf + 0
532.711 * * [simplify]: Extracting #3: cost 74 inf + 0
532.711 * * [simplify]: Extracting #4: cost 137 inf + 1
532.712 * * [simplify]: Extracting #5: cost 190 inf + 207
532.713 * * [simplify]: Extracting #6: cost 245 inf + 3098
532.715 * * [simplify]: Extracting #7: cost 196 inf + 13396
532.721 * * [simplify]: Extracting #8: cost 118 inf + 36445
532.730 * * [simplify]: Extracting #9: cost 56 inf + 62874
532.748 * * [simplify]: Extracting #10: cost 10 inf + 103083
532.770 * * [simplify]: Extracting #11: cost 1 inf + 113028
532.795 * * [simplify]: Extracting #12: cost 0 inf + 115053
532.818 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))))
532.819 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
532.819 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
532.819 * * [simplify]: iters left: 6 (24 enodes)
532.825 * * [simplify]: iters left: 5 (112 enodes)
532.845 * * [simplify]: iters left: 4 (284 enodes)
532.925 * * [simplify]: Extracting #0: cost 1 inf + 0
532.925 * * [simplify]: Extracting #1: cost 3 inf + 0
532.925 * * [simplify]: Extracting #2: cost 33 inf + 0
532.925 * * [simplify]: Extracting #3: cost 141 inf + 0
532.926 * * [simplify]: Extracting #4: cost 224 inf + 290
532.929 * * [simplify]: Extracting #5: cost 183 inf + 18582
532.945 * * [simplify]: Extracting #6: cost 18 inf + 82008
532.965 * * [simplify]: Extracting #7: cost 0 inf + 86754
532.985 * * [simplify]: Extracting #8: cost 0 inf + 85874
533.006 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
533.006 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
533.006 * * * * [progress]: [ 759 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
533.007 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
533.007 * * [simplify]: iters left: 6 (47 enodes)
533.020 * * [simplify]: iters left: 5 (226 enodes)
533.065 * * [simplify]: Extracting #0: cost 1 inf + 0
533.065 * * [simplify]: Extracting #1: cost 3 inf + 0
533.065 * * [simplify]: Extracting #2: cost 10 inf + 0
533.065 * * [simplify]: Extracting #3: cost 66 inf + 0
533.065 * * [simplify]: Extracting #4: cost 117 inf + 44
533.065 * * [simplify]: Extracting #5: cost 154 inf + 1144
533.067 * * [simplify]: Extracting #6: cost 217 inf + 3016
533.068 * * [simplify]: Extracting #7: cost 192 inf + 7051
533.073 * * [simplify]: Extracting #8: cost 111 inf + 30018
533.084 * * [simplify]: Extracting #9: cost 56 inf + 54438
533.099 * * [simplify]: Extracting #10: cost 8 inf + 87252
533.118 * * [simplify]: Extracting #11: cost 0 inf + 97492
533.136 * * [simplify]: Extracting #12: cost 0 inf + 97012
533.154 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))))
533.154 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
533.155 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
533.155 * * [simplify]: iters left: 6 (20 enodes)
533.160 * * [simplify]: iters left: 5 (94 enodes)
533.178 * * [simplify]: iters left: 4 (227 enodes)
533.227 * * [simplify]: Extracting #0: cost 1 inf + 0
533.227 * * [simplify]: Extracting #1: cost 3 inf + 0
533.227 * * [simplify]: Extracting #2: cost 23 inf + 0
533.227 * * [simplify]: Extracting #3: cost 70 inf + 0
533.228 * * [simplify]: Extracting #4: cost 119 inf + 2
533.229 * * [simplify]: Extracting #5: cost 135 inf + 1749
533.233 * * [simplify]: Extracting #6: cost 35 inf + 27949
533.244 * * [simplify]: Extracting #7: cost 2 inf + 38882
533.253 * * [simplify]: Extracting #8: cost 0 inf + 38449
533.262 * * [simplify]: Extracting #9: cost 0 inf + 38369
533.271 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2)))))
533.271 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))))))))
533.272 * * * * [progress]: [ 760 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
533.272 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
533.272 * * [simplify]: iters left: 6 (52 enodes)
533.285 * * [simplify]: iters left: 5 (254 enodes)
533.341 * * [simplify]: Extracting #0: cost 1 inf + 0
533.341 * * [simplify]: Extracting #1: cost 3 inf + 0
533.341 * * [simplify]: Extracting #2: cost 10 inf + 0
533.342 * * [simplify]: Extracting #3: cost 74 inf + 0
533.342 * * [simplify]: Extracting #4: cost 137 inf + 1
533.342 * * [simplify]: Extracting #5: cost 190 inf + 207
533.343 * * [simplify]: Extracting #6: cost 248 inf + 2494
533.345 * * [simplify]: Extracting #7: cost 198 inf + 12751
533.351 * * [simplify]: Extracting #8: cost 116 inf + 38463
533.361 * * [simplify]: Extracting #9: cost 57 inf + 63409
533.378 * * [simplify]: Extracting #10: cost 10 inf + 104043
533.403 * * [simplify]: Extracting #11: cost 1 inf + 113988
533.426 * * [simplify]: Extracting #12: cost 0 inf + 116013
533.449 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))))
533.449 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
533.450 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
533.450 * * [simplify]: iters left: 6 (24 enodes)
533.456 * * [simplify]: iters left: 5 (112 enodes)
533.476 * * [simplify]: iters left: 4 (284 enodes)
533.556 * * [simplify]: Extracting #0: cost 1 inf + 0
533.556 * * [simplify]: Extracting #1: cost 3 inf + 0
533.556 * * [simplify]: Extracting #2: cost 33 inf + 0
533.556 * * [simplify]: Extracting #3: cost 141 inf + 0
533.557 * * [simplify]: Extracting #4: cost 224 inf + 290
533.560 * * [simplify]: Extracting #5: cost 183 inf + 18582
533.576 * * [simplify]: Extracting #6: cost 18 inf + 82008
533.596 * * [simplify]: Extracting #7: cost 0 inf + 86754
533.618 * * [simplify]: Extracting #8: cost 0 inf + 85874
533.640 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
533.640 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
533.640 * * * * [progress]: [ 761 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
533.640 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
533.641 * * [simplify]: iters left: 6 (47 enodes)
533.653 * * [simplify]: iters left: 5 (226 enodes)
533.697 * * [simplify]: Extracting #0: cost 1 inf + 0
533.697 * * [simplify]: Extracting #1: cost 3 inf + 0
533.697 * * [simplify]: Extracting #2: cost 10 inf + 0
533.697 * * [simplify]: Extracting #3: cost 65 inf + 0
533.697 * * [simplify]: Extracting #4: cost 116 inf + 86
533.698 * * [simplify]: Extracting #5: cost 150 inf + 1512
533.699 * * [simplify]: Extracting #6: cost 217 inf + 2976
533.700 * * [simplify]: Extracting #7: cost 196 inf + 6482
533.707 * * [simplify]: Extracting #8: cost 104 inf + 33005
533.717 * * [simplify]: Extracting #9: cost 48 inf + 58278
533.732 * * [simplify]: Extracting #10: cost 8 inf + 87652
533.751 * * [simplify]: Extracting #11: cost 0 inf + 97892
533.770 * * [simplify]: Extracting #12: cost 0 inf + 97412
533.789 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))))
533.789 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (cbrt (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
533.790 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
533.790 * * [simplify]: iters left: 6 (20 enodes)
533.795 * * [simplify]: iters left: 5 (94 enodes)
533.813 * * [simplify]: iters left: 4 (227 enodes)
533.864 * * [simplify]: Extracting #0: cost 1 inf + 0
533.864 * * [simplify]: Extracting #1: cost 3 inf + 0
533.864 * * [simplify]: Extracting #2: cost 23 inf + 0
533.864 * * [simplify]: Extracting #3: cost 70 inf + 0
533.864 * * [simplify]: Extracting #4: cost 119 inf + 2
533.865 * * [simplify]: Extracting #5: cost 135 inf + 1749
533.870 * * [simplify]: Extracting #6: cost 35 inf + 27949
533.879 * * [simplify]: Extracting #7: cost 2 inf + 38882
533.888 * * [simplify]: Extracting #8: cost 0 inf + 38449
533.897 * * [simplify]: Extracting #9: cost 0 inf + 38369
533.906 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2)))))
533.906 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))))))))
533.906 * * * * [progress]: [ 762 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
533.907 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
533.907 * * [simplify]: iters left: 6 (52 enodes)
533.921 * * [simplify]: iters left: 5 (254 enodes)
533.977 * * [simplify]: Extracting #0: cost 1 inf + 0
533.977 * * [simplify]: Extracting #1: cost 3 inf + 0
533.977 * * [simplify]: Extracting #2: cost 6 inf + 0
533.978 * * [simplify]: Extracting #3: cost 56 inf + 0
533.978 * * [simplify]: Extracting #4: cost 130 inf + 0
533.978 * * [simplify]: Extracting #5: cost 210 inf + 0
533.979 * * [simplify]: Extracting #6: cost 293 inf + 722
533.981 * * [simplify]: Extracting #7: cost 242 inf + 10699
533.985 * * [simplify]: Extracting #8: cost 157 inf + 25677
533.994 * * [simplify]: Extracting #9: cost 63 inf + 64382
534.013 * * [simplify]: Extracting #10: cost 12 inf + 114036
534.040 * * [simplify]: Extracting #11: cost 1 inf + 126831
534.064 * * [simplify]: Extracting #12: cost 0 inf + 128896
534.089 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))
534.089 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
534.089 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
534.090 * * [simplify]: iters left: 6 (25 enodes)
534.096 * * [simplify]: iters left: 5 (117 enodes)
534.120 * * [simplify]: iters left: 4 (342 enodes)
534.261 * * [simplify]: Extracting #0: cost 1 inf + 0
534.261 * * [simplify]: Extracting #1: cost 3 inf + 0
534.261 * * [simplify]: Extracting #2: cost 45 inf + 0
534.261 * * [simplify]: Extracting #3: cost 307 inf + 0
534.263 * * [simplify]: Extracting #4: cost 480 inf + 84
534.267 * * [simplify]: Extracting #5: cost 462 inf + 13615
534.275 * * [simplify]: Extracting #6: cost 336 inf + 37562
534.301 * * [simplify]: Extracting #7: cost 139 inf + 128970
534.353 * * [simplify]: Extracting #8: cost 2 inf + 218413
534.404 * * [simplify]: Extracting #9: cost 0 inf + 219861
534.455 * [simplify]: Simplified to (sqrt (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))
534.455 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))))
534.456 * * * * [progress]: [ 763 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
534.456 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
534.456 * * [simplify]: iters left: 6 (53 enodes)
534.470 * * [simplify]: iters left: 5 (263 enodes)
534.528 * * [simplify]: Extracting #0: cost 1 inf + 0
534.528 * * [simplify]: Extracting #1: cost 3 inf + 0
534.528 * * [simplify]: Extracting #2: cost 6 inf + 0
534.528 * * [simplify]: Extracting #3: cost 60 inf + 0
534.528 * * [simplify]: Extracting #4: cost 153 inf + 0
534.529 * * [simplify]: Extracting #5: cost 224 inf + 44
534.530 * * [simplify]: Extracting #6: cost 275 inf + 3753
534.533 * * [simplify]: Extracting #7: cost 234 inf + 11145
534.538 * * [simplify]: Extracting #8: cost 155 inf + 28683
534.550 * * [simplify]: Extracting #9: cost 50 inf + 76123
534.574 * * [simplify]: Extracting #10: cost 7 inf + 119098
534.598 * * [simplify]: Extracting #11: cost 0 inf + 129313
534.623 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
534.623 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
534.623 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
534.624 * * [simplify]: iters left: 6 (26 enodes)
534.630 * * [simplify]: iters left: 5 (121 enodes)
534.652 * * [simplify]: iters left: 4 (339 enodes)
534.787 * * [simplify]: Extracting #0: cost 1 inf + 0
534.787 * * [simplify]: Extracting #1: cost 3 inf + 0
534.787 * * [simplify]: Extracting #2: cost 69 inf + 0
534.788 * * [simplify]: Extracting #3: cost 325 inf + 0
534.790 * * [simplify]: Extracting #4: cost 429 inf + 493
534.792 * * [simplify]: Extracting #5: cost 442 inf + 7129
534.798 * * [simplify]: Extracting #6: cost 358 inf + 22954
534.817 * * [simplify]: Extracting #7: cost 165 inf + 104047
534.863 * * [simplify]: Extracting #8: cost 3 inf + 198985
534.906 * * [simplify]: Extracting #9: cost 0 inf + 200597
534.950 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1))))
534.950 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)))))))
534.951 * * * * [progress]: [ 764 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
534.951 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
534.951 * * [simplify]: iters left: 6 (53 enodes)
534.965 * * [simplify]: iters left: 5 (263 enodes)
535.024 * * [simplify]: Extracting #0: cost 1 inf + 0
535.024 * * [simplify]: Extracting #1: cost 3 inf + 0
535.024 * * [simplify]: Extracting #2: cost 6 inf + 0
535.024 * * [simplify]: Extracting #3: cost 62 inf + 0
535.024 * * [simplify]: Extracting #4: cost 151 inf + 0
535.025 * * [simplify]: Extracting #5: cost 220 inf + 44
535.026 * * [simplify]: Extracting #6: cost 272 inf + 3910
535.028 * * [simplify]: Extracting #7: cost 224 inf + 12575
535.032 * * [simplify]: Extracting #8: cost 175 inf + 20909
535.039 * * [simplify]: Extracting #9: cost 118 inf + 40471
535.049 * * [simplify]: Extracting #10: cost 62 inf + 67736
535.068 * * [simplify]: Extracting #11: cost 11 inf + 113190
535.092 * * [simplify]: Extracting #12: cost 0 inf + 126985
535.118 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
535.118 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
535.119 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
535.119 * * [simplify]: iters left: 6 (26 enodes)
535.125 * * [simplify]: iters left: 5 (121 enodes)
535.149 * * [simplify]: iters left: 4 (337 enodes)
535.279 * * [simplify]: Extracting #0: cost 1 inf + 0
535.279 * * [simplify]: Extracting #1: cost 3 inf + 0
535.279 * * [simplify]: Extracting #2: cost 61 inf + 0
535.280 * * [simplify]: Extracting #3: cost 299 inf + 0
535.281 * * [simplify]: Extracting #4: cost 388 inf + 450
535.284 * * [simplify]: Extracting #5: cost 405 inf + 4997
535.288 * * [simplify]: Extracting #6: cost 334 inf + 14849
535.308 * * [simplify]: Extracting #7: cost 155 inf + 88769
535.343 * * [simplify]: Extracting #8: cost 3 inf + 171899
535.382 * * [simplify]: Extracting #9: cost 0 inf + 173991
535.426 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
535.426 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
535.427 * * * * [progress]: [ 765 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
535.428 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
535.428 * * [simplify]: iters left: 6 (47 enodes)
535.441 * * [simplify]: iters left: 5 (227 enodes)
535.488 * * [simplify]: Extracting #0: cost 1 inf + 0
535.488 * * [simplify]: Extracting #1: cost 3 inf + 0
535.488 * * [simplify]: Extracting #2: cost 6 inf + 0
535.488 * * [simplify]: Extracting #3: cost 54 inf + 0
535.489 * * [simplify]: Extracting #4: cost 119 inf + 0
535.489 * * [simplify]: Extracting #5: cost 168 inf + 44
535.490 * * [simplify]: Extracting #6: cost 236 inf + 1233
535.491 * * [simplify]: Extracting #7: cost 222 inf + 3995
535.494 * * [simplify]: Extracting #8: cost 136 inf + 22473
535.503 * * [simplify]: Extracting #9: cost 62 inf + 55126
535.519 * * [simplify]: Extracting #10: cost 9 inf + 96565
535.539 * * [simplify]: Extracting #11: cost 1 inf + 101979
535.558 * * [simplify]: Extracting #12: cost 0 inf + 102804
535.580 * * [simplify]: Extracting #13: cost 0 inf + 102764
535.600 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ phi2 phi1))))))
535.600 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
535.601 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
535.601 * * [simplify]: iters left: 6 (21 enodes)
535.606 * * [simplify]: iters left: 5 (99 enodes)
535.624 * * [simplify]: iters left: 4 (267 enodes)
535.697 * * [simplify]: Extracting #0: cost 1 inf + 0
535.697 * * [simplify]: Extracting #1: cost 3 inf + 0
535.697 * * [simplify]: Extracting #2: cost 35 inf + 0
535.697 * * [simplify]: Extracting #3: cost 155 inf + 0
535.698 * * [simplify]: Extracting #4: cost 217 inf + 43
535.699 * * [simplify]: Extracting #5: cost 233 inf + 1388
535.703 * * [simplify]: Extracting #6: cost 139 inf + 27141
535.723 * * [simplify]: Extracting #7: cost 18 inf + 80001
535.743 * * [simplify]: Extracting #8: cost 0 inf + 82297
535.762 * * [simplify]: Extracting #9: cost 0 inf + 80937
535.780 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (+ phi1 phi2))))
535.781 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
535.781 * * * * [progress]: [ 766 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
535.781 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
535.782 * * [simplify]: iters left: 6 (52 enodes)
535.795 * * [simplify]: iters left: 5 (255 enodes)
535.849 * * [simplify]: Extracting #0: cost 1 inf + 0
535.850 * * [simplify]: Extracting #1: cost 3 inf + 0
535.850 * * [simplify]: Extracting #2: cost 10 inf + 0
535.850 * * [simplify]: Extracting #3: cost 74 inf + 0
535.850 * * [simplify]: Extracting #4: cost 137 inf + 1
535.850 * * [simplify]: Extracting #5: cost 190 inf + 207
535.851 * * [simplify]: Extracting #6: cost 258 inf + 2323
535.853 * * [simplify]: Extracting #7: cost 237 inf + 7000
535.856 * * [simplify]: Extracting #8: cost 173 inf + 17488
535.862 * * [simplify]: Extracting #9: cost 109 inf + 41016
535.874 * * [simplify]: Extracting #10: cost 52 inf + 66835
535.892 * * [simplify]: Extracting #11: cost 10 inf + 107085
535.915 * * [simplify]: Extracting #12: cost 1 inf + 118030
535.938 * * [simplify]: Extracting #13: cost 0 inf + 120095
535.961 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))))
535.962 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
535.962 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
535.962 * * [simplify]: iters left: 6 (24 enodes)
535.969 * * [simplify]: iters left: 5 (112 enodes)
535.989 * * [simplify]: iters left: 4 (284 enodes)
536.069 * * [simplify]: Extracting #0: cost 1 inf + 0
536.069 * * [simplify]: Extracting #1: cost 3 inf + 0
536.070 * * [simplify]: Extracting #2: cost 33 inf + 0
536.070 * * [simplify]: Extracting #3: cost 141 inf + 0
536.071 * * [simplify]: Extracting #4: cost 222 inf + 290
536.072 * * [simplify]: Extracting #5: cost 243 inf + 1026
536.076 * * [simplify]: Extracting #6: cost 166 inf + 24261
536.094 * * [simplify]: Extracting #7: cost 14 inf + 94184
536.120 * * [simplify]: Extracting #8: cost 0 inf + 93714
536.142 * * [simplify]: Extracting #9: cost 0 inf + 92354
536.164 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
536.165 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
536.165 * * * * [progress]: [ 767 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
536.165 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
536.166 * * [simplify]: iters left: 6 (47 enodes)
536.178 * * [simplify]: iters left: 5 (227 enodes)
536.224 * * [simplify]: Extracting #0: cost 1 inf + 0
536.224 * * [simplify]: Extracting #1: cost 3 inf + 0
536.224 * * [simplify]: Extracting #2: cost 10 inf + 0
536.224 * * [simplify]: Extracting #3: cost 66 inf + 0
536.224 * * [simplify]: Extracting #4: cost 117 inf + 44
536.225 * * [simplify]: Extracting #5: cost 151 inf + 1510
536.226 * * [simplify]: Extracting #6: cost 223 inf + 2972
536.227 * * [simplify]: Extracting #7: cost 222 inf + 3709
536.231 * * [simplify]: Extracting #8: cost 141 inf + 24557
536.239 * * [simplify]: Extracting #9: cost 67 inf + 52228
536.255 * * [simplify]: Extracting #10: cost 11 inf + 90674
536.277 * * [simplify]: Extracting #11: cost 1 inf + 100429
536.297 * * [simplify]: Extracting #12: cost 0 inf + 102094
536.317 * * [simplify]: Extracting #13: cost 0 inf + 101934
536.336 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ phi2 phi1))))
536.337 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ phi2 phi1)))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
536.337 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
536.337 * * [simplify]: iters left: 6 (20 enodes)
536.342 * * [simplify]: iters left: 5 (94 enodes)
536.360 * * [simplify]: iters left: 4 (227 enodes)
536.412 * * [simplify]: Extracting #0: cost 1 inf + 0
536.412 * * [simplify]: Extracting #1: cost 3 inf + 0
536.412 * * [simplify]: Extracting #2: cost 23 inf + 0
536.413 * * [simplify]: Extracting #3: cost 70 inf + 0
536.413 * * [simplify]: Extracting #4: cost 117 inf + 2
536.413 * * [simplify]: Extracting #5: cost 150 inf + 44
536.414 * * [simplify]: Extracting #6: cost 129 inf + 2078
536.420 * * [simplify]: Extracting #7: cost 35 inf + 30149
536.431 * * [simplify]: Extracting #8: cost 2 inf + 42282
536.441 * * [simplify]: Extracting #9: cost 0 inf + 40889
536.451 * * [simplify]: Extracting #10: cost 0 inf + 40769
536.460 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))
536.460 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))
536.461 * * * * [progress]: [ 768 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
536.461 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
536.461 * * [simplify]: iters left: 6 (52 enodes)
536.474 * * [simplify]: iters left: 5 (255 enodes)
536.531 * * [simplify]: Extracting #0: cost 1 inf + 0
536.531 * * [simplify]: Extracting #1: cost 3 inf + 0
536.531 * * [simplify]: Extracting #2: cost 10 inf + 0
536.531 * * [simplify]: Extracting #3: cost 74 inf + 0
536.531 * * [simplify]: Extracting #4: cost 137 inf + 1
536.532 * * [simplify]: Extracting #5: cost 190 inf + 207
536.533 * * [simplify]: Extracting #6: cost 258 inf + 2321
536.534 * * [simplify]: Extracting #7: cost 233 inf + 7818
536.537 * * [simplify]: Extracting #8: cost 176 inf + 16862
536.543 * * [simplify]: Extracting #9: cost 111 inf + 40945
536.554 * * [simplify]: Extracting #10: cost 52 inf + 67795
536.572 * * [simplify]: Extracting #11: cost 10 inf + 108045
536.598 * * [simplify]: Extracting #12: cost 1 inf + 118990
536.622 * * [simplify]: Extracting #13: cost 0 inf + 121055
536.646 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))))
536.646 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
536.646 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
536.647 * * [simplify]: iters left: 6 (24 enodes)
536.652 * * [simplify]: iters left: 5 (112 enodes)
536.674 * * [simplify]: iters left: 4 (284 enodes)
536.754 * * [simplify]: Extracting #0: cost 1 inf + 0
536.754 * * [simplify]: Extracting #1: cost 3 inf + 0
536.754 * * [simplify]: Extracting #2: cost 33 inf + 0
536.754 * * [simplify]: Extracting #3: cost 141 inf + 0
536.755 * * [simplify]: Extracting #4: cost 222 inf + 290
536.756 * * [simplify]: Extracting #5: cost 243 inf + 1026
536.760 * * [simplify]: Extracting #6: cost 166 inf + 24261
536.779 * * [simplify]: Extracting #7: cost 14 inf + 94184
536.802 * * [simplify]: Extracting #8: cost 0 inf + 93714
536.824 * * [simplify]: Extracting #9: cost 0 inf + 92354
536.849 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
536.849 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
536.849 * * * * [progress]: [ 769 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
536.849 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
536.850 * * [simplify]: iters left: 6 (47 enodes)
536.862 * * [simplify]: iters left: 5 (227 enodes)
536.909 * * [simplify]: Extracting #0: cost 1 inf + 0
536.909 * * [simplify]: Extracting #1: cost 3 inf + 0
536.909 * * [simplify]: Extracting #2: cost 10 inf + 0
536.910 * * [simplify]: Extracting #3: cost 65 inf + 0
536.910 * * [simplify]: Extracting #4: cost 114 inf + 370
536.910 * * [simplify]: Extracting #5: cost 147 inf + 2078
536.911 * * [simplify]: Extracting #6: cost 223 inf + 2932
536.913 * * [simplify]: Extracting #7: cost 223 inf + 3547
536.915 * * [simplify]: Extracting #8: cost 170 inf + 12818
536.920 * * [simplify]: Extracting #9: cost 103 inf + 36564
536.932 * * [simplify]: Extracting #10: cost 31 inf + 71121
536.948 * * [simplify]: Extracting #11: cost 4 inf + 95274
536.968 * * [simplify]: Extracting #12: cost 1 inf + 99869
536.988 * * [simplify]: Extracting #13: cost 0 inf + 101654
537.009 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
537.009 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
537.009 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
537.010 * * [simplify]: iters left: 6 (20 enodes)
537.014 * * [simplify]: iters left: 5 (94 enodes)
537.031 * * [simplify]: iters left: 4 (227 enodes)
537.082 * * [simplify]: Extracting #0: cost 1 inf + 0
537.083 * * [simplify]: Extracting #1: cost 3 inf + 0
537.083 * * [simplify]: Extracting #2: cost 23 inf + 0
537.083 * * [simplify]: Extracting #3: cost 70 inf + 0
537.083 * * [simplify]: Extracting #4: cost 117 inf + 2
537.084 * * [simplify]: Extracting #5: cost 150 inf + 44
537.084 * * [simplify]: Extracting #6: cost 129 inf + 2078
537.090 * * [simplify]: Extracting #7: cost 35 inf + 30149
537.100 * * [simplify]: Extracting #8: cost 2 inf + 42282
537.110 * * [simplify]: Extracting #9: cost 0 inf + 40889
537.120 * * [simplify]: Extracting #10: cost 0 inf + 40769
537.129 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))
537.129 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))
537.130 * * * * [progress]: [ 770 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
537.130 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
537.130 * * [simplify]: iters left: 6 (52 enodes)
537.146 * * [simplify]: iters left: 5 (254 enodes)
537.199 * * [simplify]: Extracting #0: cost 1 inf + 0
537.199 * * [simplify]: Extracting #1: cost 3 inf + 0
537.199 * * [simplify]: Extracting #2: cost 6 inf + 0
537.199 * * [simplify]: Extracting #3: cost 56 inf + 0
537.199 * * [simplify]: Extracting #4: cost 130 inf + 0
537.199 * * [simplify]: Extracting #5: cost 210 inf + 0
537.200 * * [simplify]: Extracting #6: cost 281 inf + 1579
537.202 * * [simplify]: Extracting #7: cost 218 inf + 12456
537.207 * * [simplify]: Extracting #8: cost 143 inf + 34011
537.218 * * [simplify]: Extracting #9: cost 98 inf + 52227
537.229 * * [simplify]: Extracting #10: cost 56 inf + 66218
537.242 * * [simplify]: Extracting #11: cost 38 inf + 77706
537.262 * * [simplify]: Extracting #12: cost 7 inf + 115801
537.287 * * [simplify]: Extracting #13: cost 1 inf + 125191
537.314 * * [simplify]: Extracting #14: cost 0 inf + 127336
537.339 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))
537.339 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
537.339 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
537.340 * * [simplify]: iters left: 6 (25 enodes)
537.345 * * [simplify]: iters left: 5 (117 enodes)
537.368 * * [simplify]: iters left: 4 (342 enodes)
537.503 * * [simplify]: Extracting #0: cost 1 inf + 0
537.504 * * [simplify]: Extracting #1: cost 3 inf + 0
537.504 * * [simplify]: Extracting #2: cost 45 inf + 0
537.504 * * [simplify]: Extracting #3: cost 307 inf + 0
537.509 * * [simplify]: Extracting #4: cost 482 inf + 84
537.515 * * [simplify]: Extracting #5: cost 397 inf + 29687
537.543 * * [simplify]: Extracting #6: cost 94 inf + 146230
537.589 * * [simplify]: Extracting #7: cost 1 inf + 206617
537.638 * * [simplify]: Extracting #8: cost 0 inf + 207461
537.685 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))
537.685 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
537.685 * * * * [progress]: [ 771 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
537.685 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
537.686 * * [simplify]: iters left: 6 (53 enodes)
537.700 * * [simplify]: iters left: 5 (263 enodes)
537.756 * * [simplify]: Extracting #0: cost 1 inf + 0
537.756 * * [simplify]: Extracting #1: cost 3 inf + 0
537.756 * * [simplify]: Extracting #2: cost 6 inf + 0
537.757 * * [simplify]: Extracting #3: cost 60 inf + 0
537.757 * * [simplify]: Extracting #4: cost 153 inf + 0
537.757 * * [simplify]: Extracting #5: cost 224 inf + 44
537.761 * * [simplify]: Extracting #6: cost 259 inf + 4977
537.764 * * [simplify]: Extracting #7: cost 215 inf + 13677
537.770 * * [simplify]: Extracting #8: cost 123 inf + 43609
537.784 * * [simplify]: Extracting #9: cost 40 inf + 80433
537.803 * * [simplify]: Extracting #10: cost 8 inf + 113393
537.826 * * [simplify]: Extracting #11: cost 0 inf + 124393
537.849 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
537.849 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
537.850 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
537.850 * * [simplify]: iters left: 6 (26 enodes)
537.857 * * [simplify]: iters left: 5 (121 enodes)
537.880 * * [simplify]: iters left: 4 (339 enodes)
538.015 * * [simplify]: Extracting #0: cost 1 inf + 0
538.015 * * [simplify]: Extracting #1: cost 3 inf + 0
538.015 * * [simplify]: Extracting #2: cost 69 inf + 0
538.016 * * [simplify]: Extracting #3: cost 325 inf + 0
538.017 * * [simplify]: Extracting #4: cost 431 inf + 493
538.022 * * [simplify]: Extracting #5: cost 379 inf + 21879
538.047 * * [simplify]: Extracting #6: cost 97 inf + 126709
538.086 * * [simplify]: Extracting #7: cost 1 inf + 186393
538.126 * * [simplify]: Extracting #8: cost 0 inf + 187037
538.167 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1))))
538.167 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)))))))
538.167 * * * * [progress]: [ 772 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
538.168 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
538.168 * * [simplify]: iters left: 6 (53 enodes)
538.182 * * [simplify]: iters left: 5 (263 enodes)
538.241 * * [simplify]: Extracting #0: cost 1 inf + 0
538.241 * * [simplify]: Extracting #1: cost 3 inf + 0
538.241 * * [simplify]: Extracting #2: cost 6 inf + 0
538.241 * * [simplify]: Extracting #3: cost 62 inf + 0
538.242 * * [simplify]: Extracting #4: cost 151 inf + 0
538.243 * * [simplify]: Extracting #5: cost 220 inf + 44
538.245 * * [simplify]: Extracting #6: cost 255 inf + 5219
538.248 * * [simplify]: Extracting #7: cost 202 inf + 16609
538.253 * * [simplify]: Extracting #8: cost 151 inf + 29712
538.262 * * [simplify]: Extracting #9: cost 97 inf + 53088
538.274 * * [simplify]: Extracting #10: cost 44 inf + 77525
538.296 * * [simplify]: Extracting #11: cost 9 inf + 110120
538.318 * * [simplify]: Extracting #12: cost 0 inf + 121985
538.341 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
538.341 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
538.342 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
538.342 * * [simplify]: iters left: 6 (26 enodes)
538.348 * * [simplify]: iters left: 5 (121 enodes)
538.373 * * [simplify]: iters left: 4 (337 enodes)
538.501 * * [simplify]: Extracting #0: cost 1 inf + 0
538.501 * * [simplify]: Extracting #1: cost 3 inf + 0
538.501 * * [simplify]: Extracting #2: cost 61 inf + 0
538.502 * * [simplify]: Extracting #3: cost 299 inf + 0
538.503 * * [simplify]: Extracting #4: cost 390 inf + 450
538.507 * * [simplify]: Extracting #5: cost 358 inf + 13408
538.524 * * [simplify]: Extracting #6: cost 120 inf + 96629
538.558 * * [simplify]: Extracting #7: cost 3 inf + 160379
538.596 * * [simplify]: Extracting #8: cost 0 inf + 162351
538.631 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
538.631 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
538.632 * * * * [progress]: [ 773 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
538.632 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
538.632 * * [simplify]: iters left: 6 (47 enodes)
538.644 * * [simplify]: iters left: 5 (227 enodes)
538.692 * * [simplify]: Extracting #0: cost 1 inf + 0
538.692 * * [simplify]: Extracting #1: cost 3 inf + 0
538.692 * * [simplify]: Extracting #2: cost 6 inf + 0
538.692 * * [simplify]: Extracting #3: cost 54 inf + 0
538.692 * * [simplify]: Extracting #4: cost 119 inf + 0
538.693 * * [simplify]: Extracting #5: cost 168 inf + 44
538.693 * * [simplify]: Extracting #6: cost 232 inf + 1235
538.695 * * [simplify]: Extracting #7: cost 211 inf + 4777
538.698 * * [simplify]: Extracting #8: cost 126 inf + 24253
538.707 * * [simplify]: Extracting #9: cost 60 inf + 53314
538.722 * * [simplify]: Extracting #10: cost 9 inf + 89899
538.743 * * [simplify]: Extracting #11: cost 1 inf + 98299
538.762 * * [simplify]: Extracting #12: cost 0 inf + 99924
538.782 * * [simplify]: Extracting #13: cost 0 inf + 99884
538.801 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1))))))
538.801 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
538.802 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))
538.802 * * [simplify]: iters left: 6 (21 enodes)
538.807 * * [simplify]: iters left: 5 (99 enodes)
538.825 * * [simplify]: iters left: 4 (267 enodes)
538.901 * * [simplify]: Extracting #0: cost 1 inf + 0
538.901 * * [simplify]: Extracting #1: cost 3 inf + 0
538.901 * * [simplify]: Extracting #2: cost 35 inf + 0
538.902 * * [simplify]: Extracting #3: cost 155 inf + 0
538.902 * * [simplify]: Extracting #4: cost 219 inf + 43
538.905 * * [simplify]: Extracting #5: cost 176 inf + 16254
538.918 * * [simplify]: Extracting #6: cost 21 inf + 70791
538.936 * * [simplify]: Extracting #7: cost 0 inf + 75977
538.953 * * [simplify]: Extracting #8: cost 0 inf + 75417
538.970 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))
538.970 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
538.971 * * * * [progress]: [ 774 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
538.971 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
538.971 * * [simplify]: iters left: 6 (52 enodes)
538.987 * * [simplify]: iters left: 5 (255 enodes)
539.046 * * [simplify]: Extracting #0: cost 1 inf + 0
539.046 * * [simplify]: Extracting #1: cost 3 inf + 0
539.046 * * [simplify]: Extracting #2: cost 10 inf + 0
539.047 * * [simplify]: Extracting #3: cost 74 inf + 0
539.047 * * [simplify]: Extracting #4: cost 137 inf + 1
539.047 * * [simplify]: Extracting #5: cost 190 inf + 207
539.048 * * [simplify]: Extracting #6: cost 247 inf + 2818
539.053 * * [simplify]: Extracting #7: cost 202 inf + 12225
539.057 * * [simplify]: Extracting #8: cost 144 inf + 28227
539.064 * * [simplify]: Extracting #9: cost 100 inf + 46750
539.074 * * [simplify]: Extracting #10: cost 53 inf + 63970
539.093 * * [simplify]: Extracting #11: cost 9 inf + 105310
539.115 * * [simplify]: Extracting #12: cost 1 inf + 113190
539.138 * * [simplify]: Extracting #13: cost 0 inf + 115255
539.163 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))))
539.163 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
539.163 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
539.163 * * [simplify]: iters left: 6 (24 enodes)
539.169 * * [simplify]: iters left: 5 (112 enodes)
539.189 * * [simplify]: iters left: 4 (284 enodes)
539.267 * * [simplify]: Extracting #0: cost 1 inf + 0
539.267 * * [simplify]: Extracting #1: cost 3 inf + 0
539.267 * * [simplify]: Extracting #2: cost 33 inf + 0
539.267 * * [simplify]: Extracting #3: cost 141 inf + 0
539.268 * * [simplify]: Extracting #4: cost 224 inf + 290
539.271 * * [simplify]: Extracting #5: cost 183 inf + 18582
539.289 * * [simplify]: Extracting #6: cost 18 inf + 82008
539.309 * * [simplify]: Extracting #7: cost 0 inf + 86754
539.329 * * [simplify]: Extracting #8: cost 0 inf + 85874
539.350 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
539.350 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
539.351 * * * * [progress]: [ 775 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
539.351 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
539.351 * * [simplify]: iters left: 6 (47 enodes)
539.363 * * [simplify]: iters left: 5 (227 enodes)
539.410 * * [simplify]: Extracting #0: cost 1 inf + 0
539.410 * * [simplify]: Extracting #1: cost 3 inf + 0
539.410 * * [simplify]: Extracting #2: cost 10 inf + 0
539.410 * * [simplify]: Extracting #3: cost 66 inf + 0
539.410 * * [simplify]: Extracting #4: cost 117 inf + 44
539.411 * * [simplify]: Extracting #5: cost 151 inf + 1510
539.412 * * [simplify]: Extracting #6: cost 218 inf + 3016
539.413 * * [simplify]: Extracting #7: cost 190 inf + 7661
539.418 * * [simplify]: Extracting #8: cost 114 inf + 29587
539.428 * * [simplify]: Extracting #9: cost 44 inf + 61593
539.446 * * [simplify]: Extracting #10: cost 7 inf + 89147
539.464 * * [simplify]: Extracting #11: cost 1 inf + 94629
539.483 * * [simplify]: Extracting #12: cost 0 inf + 96414
539.501 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
539.501 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
539.502 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
539.502 * * [simplify]: iters left: 6 (20 enodes)
539.506 * * [simplify]: iters left: 5 (94 enodes)
539.523 * * [simplify]: iters left: 4 (227 enodes)
539.574 * * [simplify]: Extracting #0: cost 1 inf + 0
539.574 * * [simplify]: Extracting #1: cost 3 inf + 0
539.574 * * [simplify]: Extracting #2: cost 23 inf + 0
539.574 * * [simplify]: Extracting #3: cost 70 inf + 0
539.574 * * [simplify]: Extracting #4: cost 119 inf + 2
539.575 * * [simplify]: Extracting #5: cost 135 inf + 1749
539.580 * * [simplify]: Extracting #6: cost 35 inf + 27949
539.589 * * [simplify]: Extracting #7: cost 2 inf + 38882
539.600 * * [simplify]: Extracting #8: cost 0 inf + 38449
539.609 * * [simplify]: Extracting #9: cost 0 inf + 38369
539.618 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2)))))
539.618 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))))))))
539.619 * * * * [progress]: [ 776 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
539.619 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
539.619 * * [simplify]: iters left: 6 (52 enodes)
539.633 * * [simplify]: iters left: 5 (255 enodes)
539.690 * * [simplify]: Extracting #0: cost 1 inf + 0
539.690 * * [simplify]: Extracting #1: cost 3 inf + 0
539.690 * * [simplify]: Extracting #2: cost 10 inf + 0
539.690 * * [simplify]: Extracting #3: cost 74 inf + 0
539.691 * * [simplify]: Extracting #4: cost 137 inf + 1
539.691 * * [simplify]: Extracting #5: cost 190 inf + 207
539.692 * * [simplify]: Extracting #6: cost 247 inf + 2816
539.694 * * [simplify]: Extracting #7: cost 198 inf + 12630
539.699 * * [simplify]: Extracting #8: cost 144 inf + 29389
539.706 * * [simplify]: Extracting #9: cost 100 inf + 47589
539.716 * * [simplify]: Extracting #10: cost 54 inf + 64665
539.734 * * [simplify]: Extracting #11: cost 9 inf + 106350
539.757 * * [simplify]: Extracting #12: cost 1 inf + 114590
539.782 * * [simplify]: Extracting #13: cost 0 inf + 116215
539.806 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))))
539.806 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
539.807 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
539.807 * * [simplify]: iters left: 6 (24 enodes)
539.812 * * [simplify]: iters left: 5 (112 enodes)
539.833 * * [simplify]: iters left: 4 (284 enodes)
539.913 * * [simplify]: Extracting #0: cost 1 inf + 0
539.913 * * [simplify]: Extracting #1: cost 3 inf + 0
539.913 * * [simplify]: Extracting #2: cost 33 inf + 0
539.913 * * [simplify]: Extracting #3: cost 141 inf + 0
539.914 * * [simplify]: Extracting #4: cost 224 inf + 290
539.917 * * [simplify]: Extracting #5: cost 183 inf + 18582
539.932 * * [simplify]: Extracting #6: cost 18 inf + 82008
539.953 * * [simplify]: Extracting #7: cost 0 inf + 86754
539.975 * * [simplify]: Extracting #8: cost 0 inf + 85874
539.996 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
539.996 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
539.997 * * * * [progress]: [ 777 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
539.997 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
539.998 * * [simplify]: iters left: 6 (47 enodes)
540.009 * * [simplify]: iters left: 5 (227 enodes)
540.054 * * [simplify]: Extracting #0: cost 1 inf + 0
540.054 * * [simplify]: Extracting #1: cost 3 inf + 0
540.054 * * [simplify]: Extracting #2: cost 10 inf + 0
540.054 * * [simplify]: Extracting #3: cost 65 inf + 0
540.055 * * [simplify]: Extracting #4: cost 117 inf + 44
540.055 * * [simplify]: Extracting #5: cost 158 inf + 496
540.056 * * [simplify]: Extracting #6: cost 219 inf + 2814
540.058 * * [simplify]: Extracting #7: cost 189 inf + 8105
540.061 * * [simplify]: Extracting #8: cost 138 inf + 23026
540.070 * * [simplify]: Extracting #9: cost 91 inf + 41225
540.081 * * [simplify]: Extracting #10: cost 31 inf + 66185
540.097 * * [simplify]: Extracting #11: cost 4 inf + 90434
540.115 * * [simplify]: Extracting #12: cost 1 inf + 95029
540.133 * * [simplify]: Extracting #13: cost 0 inf + 96814
540.152 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))))))
540.152 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
540.152 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
540.153 * * [simplify]: iters left: 6 (20 enodes)
540.158 * * [simplify]: iters left: 5 (94 enodes)
540.174 * * [simplify]: iters left: 4 (227 enodes)
540.224 * * [simplify]: Extracting #0: cost 1 inf + 0
540.224 * * [simplify]: Extracting #1: cost 3 inf + 0
540.225 * * [simplify]: Extracting #2: cost 23 inf + 0
540.225 * * [simplify]: Extracting #3: cost 70 inf + 0
540.225 * * [simplify]: Extracting #4: cost 119 inf + 2
540.226 * * [simplify]: Extracting #5: cost 135 inf + 1749
540.231 * * [simplify]: Extracting #6: cost 35 inf + 27949
540.240 * * [simplify]: Extracting #7: cost 2 inf + 38882
540.248 * * [simplify]: Extracting #8: cost 0 inf + 38449
540.258 * * [simplify]: Extracting #9: cost 0 inf + 38369
540.267 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2)))))
540.267 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))))))))
540.268 * * * * [progress]: [ 778 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
540.268 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
540.268 * * [simplify]: iters left: 6 (52 enodes)
540.282 * * [simplify]: iters left: 5 (254 enodes)
540.337 * * [simplify]: Extracting #0: cost 1 inf + 0
540.337 * * [simplify]: Extracting #1: cost 3 inf + 0
540.337 * * [simplify]: Extracting #2: cost 6 inf + 0
540.337 * * [simplify]: Extracting #3: cost 56 inf + 0
540.337 * * [simplify]: Extracting #4: cost 130 inf + 0
540.337 * * [simplify]: Extracting #5: cost 215 inf + 0
540.338 * * [simplify]: Extracting #6: cost 312 inf + 681
540.340 * * [simplify]: Extracting #7: cost 268 inf + 8619
540.344 * * [simplify]: Extracting #8: cost 171 inf + 29318
540.352 * * [simplify]: Extracting #9: cost 98 inf + 53225
540.365 * * [simplify]: Extracting #10: cost 51 inf + 74850
540.386 * * [simplify]: Extracting #11: cost 14 inf + 111255
540.411 * * [simplify]: Extracting #12: cost 1 inf + 126940
540.436 * * [simplify]: Extracting #13: cost 0 inf + 128965
540.462 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
540.462 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
540.463 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
540.463 * * [simplify]: iters left: 6 (25 enodes)
540.468 * * [simplify]: iters left: 5 (117 enodes)
540.492 * * [simplify]: iters left: 4 (379 enodes)
540.655 * * [simplify]: Extracting #0: cost 1 inf + 0
540.655 * * [simplify]: Extracting #1: cost 3 inf + 0
540.655 * * [simplify]: Extracting #2: cost 44 inf + 0
540.655 * * [simplify]: Extracting #3: cost 302 inf + 0
540.657 * * [simplify]: Extracting #4: cost 500 inf + 207
540.660 * * [simplify]: Extracting #5: cost 524 inf + 8304
540.683 * * [simplify]: Extracting #6: cost 244 inf + 121205
540.737 * * [simplify]: Extracting #7: cost 13 inf + 236905
540.797 * * [simplify]: Extracting #8: cost 0 inf + 232583
540.856 * * [simplify]: Extracting #9: cost 0 inf + 232303
540.916 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))
540.916 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))))
540.917 * * * * [progress]: [ 779 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
540.917 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
540.917 * * [simplify]: iters left: 6 (53 enodes)
540.930 * * [simplify]: iters left: 5 (263 enodes)
540.986 * * [simplify]: Extracting #0: cost 1 inf + 0
540.986 * * [simplify]: Extracting #1: cost 3 inf + 0
540.986 * * [simplify]: Extracting #2: cost 6 inf + 0
540.986 * * [simplify]: Extracting #3: cost 60 inf + 0
540.986 * * [simplify]: Extracting #4: cost 153 inf + 0
540.987 * * [simplify]: Extracting #5: cost 229 inf + 44
540.988 * * [simplify]: Extracting #6: cost 287 inf + 4603
540.991 * * [simplify]: Extracting #7: cost 254 inf + 11784
540.995 * * [simplify]: Extracting #8: cost 162 inf + 33965
541.006 * * [simplify]: Extracting #9: cost 65 inf + 70402
541.030 * * [simplify]: Extracting #10: cost 8 inf + 122342
541.055 * * [simplify]: Extracting #11: cost 0 inf + 131982
541.081 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
541.081 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
541.082 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
541.082 * * [simplify]: iters left: 6 (26 enodes)
541.088 * * [simplify]: iters left: 5 (121 enodes)
541.112 * * [simplify]: iters left: 4 (376 enodes)
541.266 * * [simplify]: Extracting #0: cost 1 inf + 0
541.266 * * [simplify]: Extracting #1: cost 3 inf + 0
541.266 * * [simplify]: Extracting #2: cost 68 inf + 0
541.267 * * [simplify]: Extracting #3: cost 321 inf + 0
541.269 * * [simplify]: Extracting #4: cost 449 inf + 370
541.272 * * [simplify]: Extracting #5: cost 477 inf + 9413
541.296 * * [simplify]: Extracting #6: cost 237 inf + 115751
541.347 * * [simplify]: Extracting #7: cost 15 inf + 214290
541.401 * * [simplify]: Extracting #8: cost 0 inf + 213780
541.453 * * [simplify]: Extracting #9: cost 0 inf + 212980
541.505 * [simplify]: Simplified to (sqrt (* (* (* (+ phi2 phi1) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))
541.505 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (+ phi2 phi1) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))))
541.506 * * * * [progress]: [ 780 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
541.506 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
541.507 * * [simplify]: iters left: 6 (53 enodes)
541.521 * * [simplify]: iters left: 5 (263 enodes)
541.580 * * [simplify]: Extracting #0: cost 1 inf + 0
541.580 * * [simplify]: Extracting #1: cost 3 inf + 0
541.580 * * [simplify]: Extracting #2: cost 6 inf + 0
541.580 * * [simplify]: Extracting #3: cost 62 inf + 0
541.580 * * [simplify]: Extracting #4: cost 151 inf + 0
541.581 * * [simplify]: Extracting #5: cost 225 inf + 44
541.582 * * [simplify]: Extracting #6: cost 280 inf + 5489
541.585 * * [simplify]: Extracting #7: cost 254 inf + 12487
541.590 * * [simplify]: Extracting #8: cost 169 inf + 32297
541.601 * * [simplify]: Extracting #9: cost 68 inf + 68362
541.614 * * [simplify]: Extracting #10: cost 48 inf + 79894
541.635 * * [simplify]: Extracting #11: cost 6 inf + 123104
541.662 * * [simplify]: Extracting #12: cost 0 inf + 129574
541.687 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
541.688 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
541.688 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
541.688 * * [simplify]: iters left: 6 (26 enodes)
541.694 * * [simplify]: iters left: 5 (121 enodes)
541.717 * * [simplify]: iters left: 4 (374 enodes)
541.867 * * [simplify]: Extracting #0: cost 1 inf + 0
541.867 * * [simplify]: Extracting #1: cost 3 inf + 0
541.867 * * [simplify]: Extracting #2: cost 62 inf + 0
541.868 * * [simplify]: Extracting #3: cost 306 inf + 0
541.869 * * [simplify]: Extracting #4: cost 420 inf + 126
541.872 * * [simplify]: Extracting #5: cost 443 inf + 7701
541.879 * * [simplify]: Extracting #6: cost 317 inf + 37881
541.905 * * [simplify]: Extracting #7: cost 106 inf + 130831
541.951 * * [simplify]: Extracting #8: cost 7 inf + 189437
541.999 * * [simplify]: Extracting #9: cost 0 inf + 193544
542.047 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
542.047 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
542.048 * * * * [progress]: [ 781 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
542.048 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
542.048 * * [simplify]: iters left: 6 (47 enodes)
542.060 * * [simplify]: iters left: 5 (227 enodes)
542.107 * * [simplify]: Extracting #0: cost 1 inf + 0
542.107 * * [simplify]: Extracting #1: cost 3 inf + 0
542.107 * * [simplify]: Extracting #2: cost 6 inf + 0
542.107 * * [simplify]: Extracting #3: cost 54 inf + 0
542.107 * * [simplify]: Extracting #4: cost 119 inf + 0
542.108 * * [simplify]: Extracting #5: cost 173 inf + 44
542.109 * * [simplify]: Extracting #6: cost 252 inf + 1476
542.110 * * [simplify]: Extracting #7: cost 242 inf + 3631
542.113 * * [simplify]: Extracting #8: cost 150 inf + 23031
542.121 * * [simplify]: Extracting #9: cost 79 inf + 47633
542.137 * * [simplify]: Extracting #10: cost 19 inf + 91801
542.159 * * [simplify]: Extracting #11: cost 3 inf + 105840
542.180 * * [simplify]: Extracting #12: cost 0 inf + 108433
542.203 * * [simplify]: Extracting #13: cost 0 inf + 107993
542.224 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
542.225 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
542.225 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))
542.225 * * [simplify]: iters left: 6 (21 enodes)
542.230 * * [simplify]: iters left: 5 (99 enodes)
542.248 * * [simplify]: iters left: 4 (304 enodes)
542.344 * * [simplify]: Extracting #0: cost 1 inf + 0
542.344 * * [simplify]: Extracting #1: cost 3 inf + 0
542.345 * * [simplify]: Extracting #2: cost 35 inf + 0
542.345 * * [simplify]: Extracting #3: cost 156 inf + 0
542.346 * * [simplify]: Extracting #4: cost 244 inf + 2
542.347 * * [simplify]: Extracting #5: cost 313 inf + 375
542.352 * * [simplify]: Extracting #6: cost 196 inf + 30884
542.375 * * [simplify]: Extracting #7: cost 14 inf + 100799
542.401 * * [simplify]: Extracting #8: cost 0 inf + 99922
542.429 * * [simplify]: Extracting #9: cost 0 inf + 98882
542.454 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
542.454 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
542.454 * * * * [progress]: [ 782 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
542.455 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
542.455 * * [simplify]: iters left: 6 (52 enodes)
542.468 * * [simplify]: iters left: 5 (255 enodes)
542.522 * * [simplify]: Extracting #0: cost 1 inf + 0
542.522 * * [simplify]: Extracting #1: cost 3 inf + 0
542.522 * * [simplify]: Extracting #2: cost 10 inf + 0
542.522 * * [simplify]: Extracting #3: cost 74 inf + 0
542.523 * * [simplify]: Extracting #4: cost 137 inf + 1
542.523 * * [simplify]: Extracting #5: cost 194 inf + 248
542.524 * * [simplify]: Extracting #6: cost 279 inf + 1557
542.525 * * [simplify]: Extracting #7: cost 257 inf + 6486
542.528 * * [simplify]: Extracting #8: cost 182 inf + 21793
542.534 * * [simplify]: Extracting #9: cost 120 inf + 38820
542.545 * * [simplify]: Extracting #10: cost 60 inf + 66247
542.564 * * [simplify]: Extracting #11: cost 10 inf + 111434
542.590 * * [simplify]: Extracting #12: cost 1 inf + 120539
542.615 * * [simplify]: Extracting #13: cost 0 inf + 122564
542.640 * [simplify]: Simplified to (sqrt (+ (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))))
542.640 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
542.641 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
542.641 * * [simplify]: iters left: 6 (24 enodes)
542.646 * * [simplify]: iters left: 5 (112 enodes)
542.668 * * [simplify]: iters left: 4 (321 enodes)
542.772 * * [simplify]: Extracting #0: cost 1 inf + 0
542.772 * * [simplify]: Extracting #1: cost 3 inf + 0
542.772 * * [simplify]: Extracting #2: cost 33 inf + 0
542.772 * * [simplify]: Extracting #3: cost 144 inf + 0
542.773 * * [simplify]: Extracting #4: cost 249 inf + 412
542.774 * * [simplify]: Extracting #5: cost 315 inf + 1270
542.779 * * [simplify]: Extracting #6: cost 218 inf + 28063
542.804 * * [simplify]: Extracting #7: cost 28 inf + 107697
542.834 * * [simplify]: Extracting #8: cost 0 inf + 115226
542.862 * * [simplify]: Extracting #9: cost 0 inf + 112466
542.891 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
542.891 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))))
542.891 * * * * [progress]: [ 783 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
542.892 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
542.893 * * [simplify]: iters left: 6 (47 enodes)
542.904 * * [simplify]: iters left: 5 (227 enodes)
542.948 * * [simplify]: Extracting #0: cost 1 inf + 0
542.948 * * [simplify]: Extracting #1: cost 3 inf + 0
542.949 * * [simplify]: Extracting #2: cost 10 inf + 0
542.949 * * [simplify]: Extracting #3: cost 66 inf + 0
542.949 * * [simplify]: Extracting #4: cost 117 inf + 44
542.949 * * [simplify]: Extracting #5: cost 158 inf + 1186
542.950 * * [simplify]: Extracting #6: cost 241 inf + 2972
542.952 * * [simplify]: Extracting #7: cost 242 inf + 3586
542.955 * * [simplify]: Extracting #8: cost 139 inf + 26408
542.966 * * [simplify]: Extracting #9: cost 62 inf + 56742
542.982 * * [simplify]: Extracting #10: cost 13 inf + 92824
543.004 * * [simplify]: Extracting #11: cost 1 inf + 103458
543.026 * * [simplify]: Extracting #12: cost 0 inf + 105203
543.047 * * [simplify]: Extracting #13: cost 0 inf + 105083
543.069 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))))))
543.069 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
543.070 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
543.070 * * [simplify]: iters left: 6 (20 enodes)
543.074 * * [simplify]: iters left: 5 (94 enodes)
543.091 * * [simplify]: iters left: 4 (264 enodes)
543.163 * * [simplify]: Extracting #0: cost 1 inf + 0
543.163 * * [simplify]: Extracting #1: cost 3 inf + 0
543.163 * * [simplify]: Extracting #2: cost 23 inf + 0
543.163 * * [simplify]: Extracting #3: cost 70 inf + 0
543.164 * * [simplify]: Extracting #4: cost 141 inf + 2
543.164 * * [simplify]: Extracting #5: cost 216 inf + 44
543.168 * * [simplify]: Extracting #6: cost 145 inf + 16603
543.180 * * [simplify]: Extracting #7: cost 11 inf + 56590
543.196 * * [simplify]: Extracting #8: cost 0 inf + 57659
543.213 * * [simplify]: Extracting #9: cost 0 inf + 57139
543.228 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
543.228 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))))
543.229 * * * * [progress]: [ 784 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
543.229 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
543.230 * * [simplify]: iters left: 6 (52 enodes)
543.242 * * [simplify]: iters left: 5 (255 enodes)
543.299 * * [simplify]: Extracting #0: cost 1 inf + 0
543.299 * * [simplify]: Extracting #1: cost 3 inf + 0
543.299 * * [simplify]: Extracting #2: cost 10 inf + 0
543.299 * * [simplify]: Extracting #3: cost 74 inf + 0
543.300 * * [simplify]: Extracting #4: cost 137 inf + 1
543.300 * * [simplify]: Extracting #5: cost 194 inf + 248
543.301 * * [simplify]: Extracting #6: cost 280 inf + 1395
543.302 * * [simplify]: Extracting #7: cost 257 inf + 6657
543.305 * * [simplify]: Extracting #8: cost 184 inf + 20916
543.312 * * [simplify]: Extracting #9: cost 119 inf + 39354
543.323 * * [simplify]: Extracting #10: cost 59 inf + 67552
543.343 * * [simplify]: Extracting #11: cost 10 inf + 112554
543.370 * * [simplify]: Extracting #12: cost 1 inf + 121659
543.394 * * [simplify]: Extracting #13: cost 0 inf + 123684
543.419 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))))
543.419 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
543.420 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
543.420 * * [simplify]: iters left: 6 (24 enodes)
543.426 * * [simplify]: iters left: 5 (112 enodes)
543.447 * * [simplify]: iters left: 4 (321 enodes)
543.547 * * [simplify]: Extracting #0: cost 1 inf + 0
543.547 * * [simplify]: Extracting #1: cost 3 inf + 0
543.547 * * [simplify]: Extracting #2: cost 33 inf + 0
543.547 * * [simplify]: Extracting #3: cost 144 inf + 0
543.548 * * [simplify]: Extracting #4: cost 249 inf + 412
543.550 * * [simplify]: Extracting #5: cost 315 inf + 1270
543.554 * * [simplify]: Extracting #6: cost 218 inf + 28063
543.576 * * [simplify]: Extracting #7: cost 28 inf + 107697
543.609 * * [simplify]: Extracting #8: cost 0 inf + 115226
543.638 * * [simplify]: Extracting #9: cost 0 inf + 112466
543.667 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
543.667 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))))
543.668 * * * * [progress]: [ 785 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
543.668 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
543.668 * * [simplify]: iters left: 6 (47 enodes)
543.681 * * [simplify]: iters left: 5 (227 enodes)
543.726 * * [simplify]: Extracting #0: cost 1 inf + 0
543.726 * * [simplify]: Extracting #1: cost 3 inf + 0
543.726 * * [simplify]: Extracting #2: cost 10 inf + 0
543.726 * * [simplify]: Extracting #3: cost 65 inf + 0
543.727 * * [simplify]: Extracting #4: cost 117 inf + 44
543.727 * * [simplify]: Extracting #5: cost 162 inf + 618
543.728 * * [simplify]: Extracting #6: cost 242 inf + 2770
543.729 * * [simplify]: Extracting #7: cost 242 inf + 3506
543.733 * * [simplify]: Extracting #8: cost 143 inf + 24389
543.742 * * [simplify]: Extracting #9: cost 62 inf + 57024
543.760 * * [simplify]: Extracting #10: cost 13 inf + 93144
543.781 * * [simplify]: Extracting #11: cost 1 inf + 103858
543.803 * * [simplify]: Extracting #12: cost 0 inf + 105603
543.824 * * [simplify]: Extracting #13: cost 0 inf + 105483
543.845 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))))))
543.845 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
543.846 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
543.846 * * [simplify]: iters left: 6 (20 enodes)
543.851 * * [simplify]: iters left: 5 (94 enodes)
543.868 * * [simplify]: iters left: 4 (264 enodes)
543.941 * * [simplify]: Extracting #0: cost 1 inf + 0
543.941 * * [simplify]: Extracting #1: cost 3 inf + 0
543.941 * * [simplify]: Extracting #2: cost 23 inf + 0
543.941 * * [simplify]: Extracting #3: cost 70 inf + 0
543.941 * * [simplify]: Extracting #4: cost 141 inf + 2
543.942 * * [simplify]: Extracting #5: cost 216 inf + 44
543.945 * * [simplify]: Extracting #6: cost 145 inf + 16603
543.959 * * [simplify]: Extracting #7: cost 11 inf + 56590
543.975 * * [simplify]: Extracting #8: cost 0 inf + 57659
543.992 * * [simplify]: Extracting #9: cost 0 inf + 57139
544.007 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
544.007 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))))
544.008 * * * * [progress]: [ 786 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
544.008 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
544.008 * * [simplify]: iters left: 6 (48 enodes)
544.020 * * [simplify]: iters left: 5 (227 enodes)
544.069 * * [simplify]: Extracting #0: cost 1 inf + 0
544.069 * * [simplify]: Extracting #1: cost 3 inf + 0
544.069 * * [simplify]: Extracting #2: cost 6 inf + 0
544.069 * * [simplify]: Extracting #3: cost 48 inf + 0
544.069 * * [simplify]: Extracting #4: cost 112 inf + 0
544.069 * * [simplify]: Extracting #5: cost 184 inf + 0
544.070 * * [simplify]: Extracting #6: cost 253 inf + 974
544.071 * * [simplify]: Extracting #7: cost 209 inf + 9658
544.075 * * [simplify]: Extracting #8: cost 121 inf + 26118
544.083 * * [simplify]: Extracting #9: cost 51 inf + 53385
544.100 * * [simplify]: Extracting #10: cost 6 inf + 96362
544.120 * * [simplify]: Extracting #11: cost 0 inf + 102931
544.141 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
544.141 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
544.141 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
544.142 * * [simplify]: iters left: 6 (23 enodes)
544.147 * * [simplify]: iters left: 5 (104 enodes)
544.167 * * [simplify]: iters left: 4 (307 enodes)
544.297 * * [simplify]: Extracting #0: cost 1 inf + 0
544.297 * * [simplify]: Extracting #1: cost 3 inf + 0
544.297 * * [simplify]: Extracting #2: cost 37 inf + 0
544.297 * * [simplify]: Extracting #3: cost 262 inf + 0
544.299 * * [simplify]: Extracting #4: cost 430 inf + 84
544.301 * * [simplify]: Extracting #5: cost 416 inf + 6009
544.315 * * [simplify]: Extracting #6: cost 205 inf + 84825
544.358 * * [simplify]: Extracting #7: cost 14 inf + 184715
544.402 * * [simplify]: Extracting #8: cost 0 inf + 180885
544.445 * * [simplify]: Extracting #9: cost 0 inf + 178885
544.488 * [simplify]: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))
544.489 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))))
544.489 * * * * [progress]: [ 787 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
544.490 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
544.490 * * [simplify]: iters left: 6 (49 enodes)
544.502 * * [simplify]: iters left: 5 (236 enodes)
544.554 * * [simplify]: Extracting #0: cost 1 inf + 0
544.554 * * [simplify]: Extracting #1: cost 3 inf + 0
544.554 * * [simplify]: Extracting #2: cost 6 inf + 0
544.554 * * [simplify]: Extracting #3: cost 52 inf + 0
544.554 * * [simplify]: Extracting #4: cost 135 inf + 0
544.555 * * [simplify]: Extracting #5: cost 197 inf + 85
544.556 * * [simplify]: Extracting #6: cost 221 inf + 7261
544.559 * * [simplify]: Extracting #7: cost 199 inf + 12178
544.562 * * [simplify]: Extracting #8: cost 151 inf + 19645
544.566 * * [simplify]: Extracting #9: cost 107 inf + 29389
544.574 * * [simplify]: Extracting #10: cost 62 inf + 49840
544.586 * * [simplify]: Extracting #11: cost 33 inf + 69485
544.605 * * [simplify]: Extracting #12: cost 2 inf + 102578
544.629 * * [simplify]: Extracting #13: cost 0 inf + 105508
544.650 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (+ phi2 phi1)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))))
544.650 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (+ phi2 phi1)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
544.651 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
544.651 * * [simplify]: iters left: 6 (24 enodes)
544.656 * * [simplify]: iters left: 5 (107 enodes)
544.675 * * [simplify]: iters left: 4 (303 enodes)
544.789 * * [simplify]: Extracting #0: cost 1 inf + 0
544.789 * * [simplify]: Extracting #1: cost 3 inf + 0
544.789 * * [simplify]: Extracting #2: cost 66 inf + 0
544.790 * * [simplify]: Extracting #3: cost 279 inf + 0
544.791 * * [simplify]: Extracting #4: cost 370 inf + 494
544.794 * * [simplify]: Extracting #5: cost 358 inf + 6734
544.810 * * [simplify]: Extracting #6: cost 169 inf + 86699
544.849 * * [simplify]: Extracting #7: cost 10 inf + 168068
544.889 * * [simplify]: Extracting #8: cost 0 inf + 161065
544.926 * * [simplify]: Extracting #9: cost 0 inf + 160265
544.962 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))))
544.962 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (+ phi2 phi1)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)))))))
544.963 * * * * [progress]: [ 788 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
544.963 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
544.963 * * [simplify]: iters left: 6 (49 enodes)
544.976 * * [simplify]: iters left: 5 (236 enodes)
545.026 * * [simplify]: Extracting #0: cost 1 inf + 0
545.026 * * [simplify]: Extracting #1: cost 3 inf + 0
545.026 * * [simplify]: Extracting #2: cost 6 inf + 0
545.026 * * [simplify]: Extracting #3: cost 54 inf + 0
545.027 * * [simplify]: Extracting #4: cost 133 inf + 0
545.027 * * [simplify]: Extracting #5: cost 192 inf + 166
545.028 * * [simplify]: Extracting #6: cost 225 inf + 5404
545.030 * * [simplify]: Extracting #7: cost 197 inf + 12075
545.034 * * [simplify]: Extracting #8: cost 131 inf + 25795
545.041 * * [simplify]: Extracting #9: cost 69 inf + 45059
545.056 * * [simplify]: Extracting #10: cost 26 inf + 81972
545.076 * * [simplify]: Extracting #11: cost 1 inf + 102656
545.099 * * [simplify]: Extracting #12: cost 0 inf + 103380
545.120 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))))
545.120 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
545.121 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
545.121 * * [simplify]: iters left: 6 (24 enodes)
545.126 * * [simplify]: iters left: 5 (107 enodes)
545.145 * * [simplify]: iters left: 4 (301 enodes)
545.259 * * [simplify]: Extracting #0: cost 1 inf + 0
545.259 * * [simplify]: Extracting #1: cost 3 inf + 0
545.259 * * [simplify]: Extracting #2: cost 56 inf + 0
545.260 * * [simplify]: Extracting #3: cost 254 inf + 0
545.261 * * [simplify]: Extracting #4: cost 329 inf + 617
545.264 * * [simplify]: Extracting #5: cost 303 inf + 9445
545.277 * * [simplify]: Extracting #6: cost 146 inf + 76724
545.312 * * [simplify]: Extracting #7: cost 2 inf + 146551
545.345 * * [simplify]: Extracting #8: cost 0 inf + 137358
545.377 * * [simplify]: Extracting #9: cost 0 inf + 137198
545.409 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))))
545.409 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))))))))
545.410 * * * * [progress]: [ 789 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
545.410 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
545.411 * * [simplify]: iters left: 6 (43 enodes)
545.421 * * [simplify]: iters left: 5 (199 enodes)
545.461 * * [simplify]: Extracting #0: cost 1 inf + 0
545.461 * * [simplify]: Extracting #1: cost 3 inf + 0
545.461 * * [simplify]: Extracting #2: cost 6 inf + 0
545.462 * * [simplify]: Extracting #3: cost 46 inf + 0
545.462 * * [simplify]: Extracting #4: cost 101 inf + 0
545.462 * * [simplify]: Extracting #5: cost 140 inf + 167
545.463 * * [simplify]: Extracting #6: cost 195 inf + 1717
545.464 * * [simplify]: Extracting #7: cost 186 inf + 3509
545.466 * * [simplify]: Extracting #8: cost 124 inf + 15262
545.472 * * [simplify]: Extracting #9: cost 70 inf + 33936
545.484 * * [simplify]: Extracting #10: cost 18 inf + 71041
545.501 * * [simplify]: Extracting #11: cost 1 inf + 83076
545.519 * * [simplify]: Extracting #12: cost 0 inf + 81999
545.535 * * [simplify]: Extracting #13: cost 0 inf + 81839
545.552 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))
545.552 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
545.552 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))
545.553 * * [simplify]: iters left: 6 (19 enodes)
545.558 * * [simplify]: iters left: 5 (86 enodes)
545.573 * * [simplify]: iters left: 4 (232 enodes)
545.639 * * [simplify]: Extracting #0: cost 1 inf + 0
545.639 * * [simplify]: Extracting #1: cost 3 inf + 0
545.639 * * [simplify]: Extracting #2: cost 28 inf + 0
545.639 * * [simplify]: Extracting #3: cost 134 inf + 0
545.640 * * [simplify]: Extracting #4: cost 186 inf + 250
545.641 * * [simplify]: Extracting #5: cost 193 inf + 3418
545.644 * * [simplify]: Extracting #6: cost 131 inf + 20489
545.658 * * [simplify]: Extracting #7: cost 16 inf + 68290
545.675 * * [simplify]: Extracting #8: cost 0 inf + 67859
545.691 * * [simplify]: Extracting #9: cost 0 inf + 66499
545.708 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ phi1 phi2)) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ phi1 phi2)))))
545.708 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ phi1 phi2)) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ phi1 phi2))))))))
545.709 * * * * [progress]: [ 790 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
545.709 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
545.710 * * [simplify]: iters left: 6 (48 enodes)
545.721 * * [simplify]: iters left: 5 (227 enodes)
545.767 * * [simplify]: Extracting #0: cost 1 inf + 0
545.767 * * [simplify]: Extracting #1: cost 3 inf + 0
545.767 * * [simplify]: Extracting #2: cost 10 inf + 0
545.767 * * [simplify]: Extracting #3: cost 62 inf + 0
545.767 * * [simplify]: Extracting #4: cost 115 inf + 42
545.768 * * [simplify]: Extracting #5: cost 161 inf + 207
545.768 * * [simplify]: Extracting #6: cost 216 inf + 2123
545.770 * * [simplify]: Extracting #7: cost 196 inf + 6996
545.774 * * [simplify]: Extracting #8: cost 144 inf + 15642
545.777 * * [simplify]: Extracting #9: cost 103 inf + 24404
545.785 * * [simplify]: Extracting #10: cost 54 inf + 49176
545.800 * * [simplify]: Extracting #11: cost 8 inf + 86916
545.820 * * [simplify]: Extracting #12: cost 0 inf + 96735
545.840 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
545.840 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
545.840 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
545.841 * * [simplify]: iters left: 6 (22 enodes)
545.845 * * [simplify]: iters left: 5 (99 enodes)
545.863 * * [simplify]: iters left: 4 (243 enodes)
545.928 * * [simplify]: Extracting #0: cost 1 inf + 0
545.928 * * [simplify]: Extracting #1: cost 3 inf + 0
545.928 * * [simplify]: Extracting #2: cost 27 inf + 0
545.928 * * [simplify]: Extracting #3: cost 108 inf + 0
545.929 * * [simplify]: Extracting #4: cost 175 inf + 206
545.930 * * [simplify]: Extracting #5: cost 198 inf + 902
545.933 * * [simplify]: Extracting #6: cost 129 inf + 23040
545.949 * * [simplify]: Extracting #7: cost 7 inf + 73174
545.966 * * [simplify]: Extracting #8: cost 0 inf + 67995
545.983 * * [simplify]: Extracting #9: cost 0 inf + 67595
545.999 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))
546.000 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
546.000 * * * * [progress]: [ 791 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
546.000 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
546.001 * * [simplify]: iters left: 6 (43 enodes)
546.013 * * [simplify]: iters left: 5 (199 enodes)
546.051 * * [simplify]: Extracting #0: cost 1 inf + 0
546.051 * * [simplify]: Extracting #1: cost 3 inf + 0
546.051 * * [simplify]: Extracting #2: cost 10 inf + 0
546.051 * * [simplify]: Extracting #3: cost 54 inf + 0
546.051 * * [simplify]: Extracting #4: cost 95 inf + 86
546.052 * * [simplify]: Extracting #5: cost 121 inf + 1432
546.053 * * [simplify]: Extracting #6: cost 181 inf + 2932
546.054 * * [simplify]: Extracting #7: cost 184 inf + 3303
546.056 * * [simplify]: Extracting #8: cost 128 inf + 12772
546.061 * * [simplify]: Extracting #9: cost 67 inf + 32236
546.069 * * [simplify]: Extracting #10: cost 28 inf + 55088
546.085 * * [simplify]: Extracting #11: cost 4 inf + 73194
546.101 * * [simplify]: Extracting #12: cost 0 inf + 78054
546.117 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))))
546.117 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
546.117 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))
546.118 * * [simplify]: iters left: 6 (18 enodes)
546.121 * * [simplify]: iters left: 5 (81 enodes)
546.135 * * [simplify]: iters left: 4 (186 enodes)
546.178 * * [simplify]: iters left: 3 (471 enodes)
546.305 * * [simplify]: Extracting #0: cost 1 inf + 0
546.305 * * [simplify]: Extracting #1: cost 3 inf + 0
546.305 * * [simplify]: Extracting #2: cost 36 inf + 0
546.306 * * [simplify]: Extracting #3: cost 71 inf + 0
546.306 * * [simplify]: Extracting #4: cost 111 inf + 44
546.307 * * [simplify]: Extracting #5: cost 185 inf + 86
546.312 * * [simplify]: Extracting #6: cost 118 inf + 18688
546.326 * * [simplify]: Extracting #7: cost 12 inf + 50853
546.339 * * [simplify]: Extracting #8: cost 0 inf + 50203
546.352 * * [simplify]: Extracting #9: cost 0 inf + 49763
546.368 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
546.368 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ phi1 phi2) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
546.368 * * * * [progress]: [ 792 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
546.368 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
546.369 * * [simplify]: iters left: 6 (48 enodes)
546.380 * * [simplify]: iters left: 5 (227 enodes)
546.426 * * [simplify]: Extracting #0: cost 1 inf + 0
546.426 * * [simplify]: Extracting #1: cost 3 inf + 0
546.426 * * [simplify]: Extracting #2: cost 10 inf + 0
546.426 * * [simplify]: Extracting #3: cost 62 inf + 0
546.426 * * [simplify]: Extracting #4: cost 115 inf + 42
546.426 * * [simplify]: Extracting #5: cost 160 inf + 249
546.427 * * [simplify]: Extracting #6: cost 218 inf + 1880
546.429 * * [simplify]: Extracting #7: cost 194 inf + 8704
546.433 * * [simplify]: Extracting #8: cost 144 inf + 15813
546.436 * * [simplify]: Extracting #9: cost 104 inf + 24140
546.444 * * [simplify]: Extracting #10: cost 53 inf + 49841
546.459 * * [simplify]: Extracting #11: cost 8 inf + 87636
546.478 * * [simplify]: Extracting #12: cost 0 inf + 97535
546.497 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
546.497 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
546.498 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
546.498 * * [simplify]: iters left: 6 (22 enodes)
546.503 * * [simplify]: iters left: 5 (99 enodes)
546.522 * * [simplify]: iters left: 4 (243 enodes)
546.586 * * [simplify]: Extracting #0: cost 1 inf + 0
546.586 * * [simplify]: Extracting #1: cost 3 inf + 0
546.586 * * [simplify]: Extracting #2: cost 27 inf + 0
546.587 * * [simplify]: Extracting #3: cost 108 inf + 0
546.587 * * [simplify]: Extracting #4: cost 175 inf + 206
546.588 * * [simplify]: Extracting #5: cost 198 inf + 902
546.591 * * [simplify]: Extracting #6: cost 129 inf + 23040
546.606 * * [simplify]: Extracting #7: cost 7 inf + 73174
546.624 * * [simplify]: Extracting #8: cost 0 inf + 67995
546.642 * * [simplify]: Extracting #9: cost 0 inf + 67595
546.658 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))
546.658 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
546.659 * * * * [progress]: [ 793 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
546.659 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
546.660 * * [simplify]: iters left: 6 (43 enodes)
546.672 * * [simplify]: iters left: 5 (199 enodes)
546.710 * * [simplify]: Extracting #0: cost 1 inf + 0
546.710 * * [simplify]: Extracting #1: cost 3 inf + 0
546.710 * * [simplify]: Extracting #2: cost 10 inf + 0
546.710 * * [simplify]: Extracting #3: cost 53 inf + 0
546.710 * * [simplify]: Extracting #4: cost 96 inf + 44
546.710 * * [simplify]: Extracting #5: cost 125 inf + 1105
546.711 * * [simplify]: Extracting #6: cost 181 inf + 2932
546.712 * * [simplify]: Extracting #7: cost 183 inf + 3384
546.715 * * [simplify]: Extracting #8: cost 127 inf + 13255
546.720 * * [simplify]: Extracting #9: cost 62 inf + 36809
546.729 * * [simplify]: Extracting #10: cost 29 inf + 54337
546.745 * * [simplify]: Extracting #11: cost 4 inf + 73274
546.760 * * [simplify]: Extracting #12: cost 0 inf + 78294
546.775 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))))
546.776 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
546.776 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))
546.776 * * [simplify]: iters left: 6 (18 enodes)
546.780 * * [simplify]: iters left: 5 (81 enodes)
546.794 * * [simplify]: iters left: 4 (186 enodes)
546.836 * * [simplify]: iters left: 3 (471 enodes)
547.367 * * [simplify]: Extracting #0: cost 1 inf + 0
547.367 * * [simplify]: Extracting #1: cost 3 inf + 0
547.367 * * [simplify]: Extracting #2: cost 36 inf + 0
547.368 * * [simplify]: Extracting #3: cost 71 inf + 0
547.368 * * [simplify]: Extracting #4: cost 111 inf + 44
547.369 * * [simplify]: Extracting #5: cost 185 inf + 86
547.372 * * [simplify]: Extracting #6: cost 118 inf + 18688
547.384 * * [simplify]: Extracting #7: cost 12 inf + 50853
547.398 * * [simplify]: Extracting #8: cost 0 inf + 50203
547.411 * * [simplify]: Extracting #9: cost 0 inf + 49763
547.426 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
547.426 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (+ phi1 phi2) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
547.426 * * * * [progress]: [ 794 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
547.427 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
547.427 * * [simplify]: iters left: 6 (52 enodes)
547.440 * * [simplify]: iters left: 5 (249 enodes)
547.491 * * [simplify]: Extracting #0: cost 1 inf + 0
547.491 * * [simplify]: Extracting #1: cost 3 inf + 0
547.491 * * [simplify]: Extracting #2: cost 6 inf + 0
547.491 * * [simplify]: Extracting #3: cost 53 inf + 0
547.492 * * [simplify]: Extracting #4: cost 118 inf + 0
547.492 * * [simplify]: Extracting #5: cost 187 inf + 0
547.493 * * [simplify]: Extracting #6: cost 267 inf + 510
547.494 * * [simplify]: Extracting #7: cost 234 inf + 6427
547.498 * * [simplify]: Extracting #8: cost 126 inf + 29543
547.505 * * [simplify]: Extracting #9: cost 69 inf + 48305
547.522 * * [simplify]: Extracting #10: cost 9 inf + 99935
547.544 * * [simplify]: Extracting #11: cost 1 inf + 108293
547.566 * * [simplify]: Extracting #12: cost 0 inf + 110118
547.590 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
547.590 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
547.591 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
547.591 * * [simplify]: iters left: 6 (25 enodes)
547.597 * * [simplify]: iters left: 5 (116 enodes)
547.618 * * [simplify]: iters left: 4 (345 enodes)
547.758 * * [simplify]: Extracting #0: cost 1 inf + 0
547.758 * * [simplify]: Extracting #1: cost 3 inf + 0
547.758 * * [simplify]: Extracting #2: cost 38 inf + 0
547.759 * * [simplify]: Extracting #3: cost 261 inf + 0
547.760 * * [simplify]: Extracting #4: cost 426 inf + 978
547.767 * * [simplify]: Extracting #5: cost 379 inf + 13208
547.786 * * [simplify]: Extracting #6: cost 172 inf + 104711
547.829 * * [simplify]: Extracting #7: cost 8 inf + 183380
547.873 * * [simplify]: Extracting #8: cost 0 inf + 177007
547.919 * * [simplify]: Extracting #9: cost 0 inf + 176527
547.963 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))
547.963 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))))
547.963 * * * * [progress]: [ 795 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
547.964 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
547.964 * * [simplify]: iters left: 6 (53 enodes)
547.978 * * [simplify]: iters left: 5 (258 enodes)
548.031 * * [simplify]: Extracting #0: cost 1 inf + 0
548.031 * * [simplify]: Extracting #1: cost 3 inf + 0
548.031 * * [simplify]: Extracting #2: cost 6 inf + 0
548.031 * * [simplify]: Extracting #3: cost 56 inf + 0
548.031 * * [simplify]: Extracting #4: cost 140 inf + 0
548.032 * * [simplify]: Extracting #5: cost 200 inf + 44
548.033 * * [simplify]: Extracting #6: cost 246 inf + 3834
548.035 * * [simplify]: Extracting #7: cost 209 inf + 12514
548.039 * * [simplify]: Extracting #8: cost 156 inf + 20568
548.044 * * [simplify]: Extracting #9: cost 106 inf + 36001
548.055 * * [simplify]: Extracting #10: cost 49 inf + 62485
548.067 * * [simplify]: Extracting #11: cost 32 inf + 74710
548.085 * * [simplify]: Extracting #12: cost 5 inf + 103865
548.106 * * [simplify]: Extracting #13: cost 0 inf + 110870
548.129 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
548.129 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
548.130 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
548.130 * * [simplify]: iters left: 6 (26 enodes)
548.136 * * [simplify]: iters left: 5 (120 enodes)
548.157 * * [simplify]: iters left: 4 (343 enodes)
548.295 * * [simplify]: Extracting #0: cost 1 inf + 0
548.295 * * [simplify]: Extracting #1: cost 3 inf + 0
548.297 * * [simplify]: Extracting #2: cost 61 inf + 0
548.298 * * [simplify]: Extracting #3: cost 273 inf + 0
548.299 * * [simplify]: Extracting #4: cost 370 inf + 290
548.302 * * [simplify]: Extracting #5: cost 361 inf + 5081
548.319 * * [simplify]: Extracting #6: cost 151 inf + 96079
548.355 * * [simplify]: Extracting #7: cost 5 inf + 164306
548.394 * * [simplify]: Extracting #8: cost 0 inf + 157285
548.432 * * [simplify]: Extracting #9: cost 0 inf + 156605
548.470 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))))
548.470 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)))))))
548.471 * * * * [progress]: [ 796 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
548.471 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
548.471 * * [simplify]: iters left: 6 (53 enodes)
548.486 * * [simplify]: iters left: 5 (258 enodes)
548.540 * * [simplify]: Extracting #0: cost 1 inf + 0
548.540 * * [simplify]: Extracting #1: cost 3 inf + 0
548.540 * * [simplify]: Extracting #2: cost 6 inf + 0
548.540 * * [simplify]: Extracting #3: cost 58 inf + 0
548.540 * * [simplify]: Extracting #4: cost 138 inf + 0
548.541 * * [simplify]: Extracting #5: cost 196 inf + 44
548.542 * * [simplify]: Extracting #6: cost 230 inf + 6497
548.544 * * [simplify]: Extracting #7: cost 202 inf + 12038
548.548 * * [simplify]: Extracting #8: cost 132 inf + 25816
548.558 * * [simplify]: Extracting #9: cost 69 inf + 48845
548.570 * * [simplify]: Extracting #10: cost 34 inf + 71172
548.587 * * [simplify]: Extracting #11: cost 7 inf + 99687
548.609 * * [simplify]: Extracting #12: cost 0 inf + 108582
548.630 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
548.630 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
548.631 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
548.631 * * [simplify]: iters left: 6 (26 enodes)
548.637 * * [simplify]: iters left: 5 (120 enodes)
548.659 * * [simplify]: iters left: 4 (341 enodes)
548.793 * * [simplify]: Extracting #0: cost 1 inf + 0
548.793 * * [simplify]: Extracting #1: cost 3 inf + 0
548.793 * * [simplify]: Extracting #2: cost 55 inf + 0
548.794 * * [simplify]: Extracting #3: cost 251 inf + 0
548.795 * * [simplify]: Extracting #4: cost 338 inf + 126
548.797 * * [simplify]: Extracting #5: cost 340 inf + 2975
548.809 * * [simplify]: Extracting #6: cost 164 inf + 70076
548.844 * * [simplify]: Extracting #7: cost 6 inf + 144056
548.880 * * [simplify]: Extracting #8: cost 0 inf + 137356
548.912 * * [simplify]: Extracting #9: cost 0 inf + 137196
548.946 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
548.946 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
548.947 * * * * [progress]: [ 797 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
548.947 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
548.947 * * [simplify]: iters left: 6 (47 enodes)
548.960 * * [simplify]: iters left: 5 (221 enodes)
549.004 * * [simplify]: Extracting #0: cost 1 inf + 0
549.004 * * [simplify]: Extracting #1: cost 3 inf + 0
549.004 * * [simplify]: Extracting #2: cost 6 inf + 0
549.004 * * [simplify]: Extracting #3: cost 50 inf + 0
549.004 * * [simplify]: Extracting #4: cost 107 inf + 0
549.005 * * [simplify]: Extracting #5: cost 145 inf + 44
549.005 * * [simplify]: Extracting #6: cost 210 inf + 1110
549.007 * * [simplify]: Extracting #7: cost 197 inf + 3428
549.009 * * [simplify]: Extracting #8: cost 135 inf + 15267
549.014 * * [simplify]: Extracting #9: cost 82 inf + 32550
549.023 * * [simplify]: Extracting #10: cost 39 inf + 57396
549.038 * * [simplify]: Extracting #11: cost 8 inf + 82683
549.055 * * [simplify]: Extracting #12: cost 1 inf + 89138
549.072 * * [simplify]: Extracting #13: cost 0 inf + 90803
549.091 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ phi2 phi1)))))))
549.091 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
549.092 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))
549.092 * * [simplify]: iters left: 6 (21 enodes)
549.096 * * [simplify]: iters left: 5 (97 enodes)
549.113 * * [simplify]: iters left: 4 (267 enodes)
549.191 * * [simplify]: Extracting #0: cost 1 inf + 0
549.191 * * [simplify]: Extracting #1: cost 3 inf + 0
549.192 * * [simplify]: Extracting #2: cost 29 inf + 0
549.192 * * [simplify]: Extracting #3: cost 133 inf + 0
549.192 * * [simplify]: Extracting #4: cost 194 inf + 84
549.193 * * [simplify]: Extracting #5: cost 214 inf + 1266
549.197 * * [simplify]: Extracting #6: cost 130 inf + 24154
549.212 * * [simplify]: Extracting #7: cost 23 inf + 64714
549.230 * * [simplify]: Extracting #8: cost 0 inf + 69187
549.246 * * [simplify]: Extracting #9: cost 0 inf + 67707
549.262 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
549.262 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
549.262 * * * * [progress]: [ 798 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
549.263 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
549.263 * * [simplify]: iters left: 6 (52 enodes)
549.276 * * [simplify]: iters left: 5 (249 enodes)
549.326 * * [simplify]: Extracting #0: cost 1 inf + 0
549.327 * * [simplify]: Extracting #1: cost 3 inf + 0
549.327 * * [simplify]: Extracting #2: cost 10 inf + 0
549.327 * * [simplify]: Extracting #3: cost 66 inf + 0
549.327 * * [simplify]: Extracting #4: cost 126 inf + 1
549.327 * * [simplify]: Extracting #5: cost 168 inf + 207
549.328 * * [simplify]: Extracting #6: cost 233 inf + 2121
549.330 * * [simplify]: Extracting #7: cost 217 inf + 6670
549.333 * * [simplify]: Extracting #8: cost 135 inf + 21964
549.340 * * [simplify]: Extracting #9: cost 59 inf + 52585
549.358 * * [simplify]: Extracting #10: cost 5 inf + 99139
549.379 * * [simplify]: Extracting #11: cost 1 inf + 103317
549.402 * * [simplify]: Extracting #12: cost 0 inf + 105142
549.423 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))))))
549.423 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
549.424 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
549.424 * * [simplify]: iters left: 6 (24 enodes)
549.429 * * [simplify]: iters left: 5 (111 enodes)
549.448 * * [simplify]: iters left: 4 (284 enodes)
549.537 * * [simplify]: Extracting #0: cost 1 inf + 0
549.537 * * [simplify]: Extracting #1: cost 3 inf + 0
549.537 * * [simplify]: Extracting #2: cost 29 inf + 0
549.537 * * [simplify]: Extracting #3: cost 132 inf + 0
549.538 * * [simplify]: Extracting #4: cost 204 inf + 412
549.539 * * [simplify]: Extracting #5: cost 226 inf + 1148
549.543 * * [simplify]: Extracting #6: cost 154 inf + 27514
549.559 * * [simplify]: Extracting #7: cost 22 inf + 78787
549.580 * * [simplify]: Extracting #8: cost 0 inf + 82780
549.600 * * [simplify]: Extracting #9: cost 0 inf + 79940
549.622 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))
549.622 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))))
549.623 * * * * [progress]: [ 799 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
549.623 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
549.623 * * [simplify]: iters left: 6 (47 enodes)
549.635 * * [simplify]: iters left: 5 (222 enodes)
549.676 * * [simplify]: Extracting #0: cost 1 inf + 0
549.677 * * [simplify]: Extracting #1: cost 3 inf + 0
549.677 * * [simplify]: Extracting #2: cost 10 inf + 0
549.677 * * [simplify]: Extracting #3: cost 57 inf + 0
549.677 * * [simplify]: Extracting #4: cost 102 inf + 370
549.678 * * [simplify]: Extracting #5: cost 121 inf + 2526
549.679 * * [simplify]: Extracting #6: cost 197 inf + 2932
549.680 * * [simplify]: Extracting #7: cost 196 inf + 3628
549.681 * * [simplify]: Extracting #8: cost 165 inf + 7810
549.686 * * [simplify]: Extracting #9: cost 117 inf + 18196
549.693 * * [simplify]: Extracting #10: cost 52 inf + 44403
549.704 * * [simplify]: Extracting #11: cost 17 inf + 67154
549.720 * * [simplify]: Extracting #12: cost 3 inf + 80384
549.736 * * [simplify]: Extracting #13: cost 0 inf + 84979
549.753 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (- phi1 phi2))) (- phi1 phi2)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))))
549.753 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (- phi1 phi2))) (- phi1 phi2)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
549.754 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
549.754 * * [simplify]: iters left: 6 (20 enodes)
549.758 * * [simplify]: iters left: 5 (92 enodes)
549.774 * * [simplify]: iters left: 4 (226 enodes)
549.833 * * [simplify]: Extracting #0: cost 1 inf + 0
549.833 * * [simplify]: Extracting #1: cost 3 inf + 0
549.833 * * [simplify]: Extracting #2: cost 17 inf + 0
549.833 * * [simplify]: Extracting #3: cost 61 inf + 0
549.833 * * [simplify]: Extracting #4: cost 105 inf + 2
549.834 * * [simplify]: Extracting #5: cost 136 inf + 44
549.834 * * [simplify]: Extracting #6: cost 115 inf + 2077
549.840 * * [simplify]: Extracting #7: cost 26 inf + 29301
549.850 * * [simplify]: Extracting #8: cost 1 inf + 34763
549.859 * * [simplify]: Extracting #9: cost 0 inf + 34287
549.868 * * [simplify]: Extracting #10: cost 0 inf + 34207
549.877 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
549.877 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (- phi1 phi2))) (- phi1 phi2)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (+ phi1 phi2) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))))
549.877 * * * * [progress]: [ 800 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
549.878 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
549.878 * * [simplify]: iters left: 6 (52 enodes)
549.892 * * [simplify]: iters left: 5 (249 enodes)
549.942 * * [simplify]: Extracting #0: cost 1 inf + 0
549.942 * * [simplify]: Extracting #1: cost 3 inf + 0
549.942 * * [simplify]: Extracting #2: cost 10 inf + 0
549.942 * * [simplify]: Extracting #3: cost 66 inf + 0
549.943 * * [simplify]: Extracting #4: cost 126 inf + 1
549.943 * * [simplify]: Extracting #5: cost 168 inf + 207
549.944 * * [simplify]: Extracting #6: cost 233 inf + 1840
549.945 * * [simplify]: Extracting #7: cost 215 inf + 6954
549.949 * * [simplify]: Extracting #8: cost 136 inf + 21539
549.957 * * [simplify]: Extracting #9: cost 59 inf + 52623
549.974 * * [simplify]: Extracting #10: cost 6 inf + 98034
549.997 * * [simplify]: Extracting #11: cost 1 inf + 104117
550.018 * * [simplify]: Extracting #12: cost 0 inf + 105942
550.040 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))))))
550.040 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
550.041 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
550.041 * * [simplify]: iters left: 6 (24 enodes)
550.049 * * [simplify]: iters left: 5 (111 enodes)
550.070 * * [simplify]: iters left: 4 (284 enodes)
550.156 * * [simplify]: Extracting #0: cost 1 inf + 0
550.156 * * [simplify]: Extracting #1: cost 3 inf + 0
550.156 * * [simplify]: Extracting #2: cost 29 inf + 0
550.157 * * [simplify]: Extracting #3: cost 132 inf + 0
550.157 * * [simplify]: Extracting #4: cost 204 inf + 412
550.158 * * [simplify]: Extracting #5: cost 226 inf + 1148
550.163 * * [simplify]: Extracting #6: cost 154 inf + 27514
550.179 * * [simplify]: Extracting #7: cost 22 inf + 78787
550.200 * * [simplify]: Extracting #8: cost 0 inf + 82780
550.222 * * [simplify]: Extracting #9: cost 0 inf + 79940
550.242 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))
550.242 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))))
550.243 * * * * [progress]: [ 801 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
550.243 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
550.243 * * [simplify]: iters left: 6 (47 enodes)
550.255 * * [simplify]: iters left: 5 (222 enodes)
550.299 * * [simplify]: Extracting #0: cost 1 inf + 0
550.299 * * [simplify]: Extracting #1: cost 3 inf + 0
550.299 * * [simplify]: Extracting #2: cost 10 inf + 0
550.300 * * [simplify]: Extracting #3: cost 56 inf + 0
550.300 * * [simplify]: Extracting #4: cost 104 inf + 86
550.300 * * [simplify]: Extracting #5: cost 123 inf + 2322
550.301 * * [simplify]: Extracting #6: cost 197 inf + 2932
550.302 * * [simplify]: Extracting #7: cost 197 inf + 3546
550.304 * * [simplify]: Extracting #8: cost 164 inf + 7972
550.307 * * [simplify]: Extracting #9: cost 115 inf + 18818
550.314 * * [simplify]: Extracting #10: cost 51 inf + 45247
550.325 * * [simplify]: Extracting #11: cost 17 inf + 67474
550.340 * * [simplify]: Extracting #12: cost 3 inf + 80704
550.357 * * [simplify]: Extracting #13: cost 0 inf + 85299
550.375 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))))
550.375 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
550.375 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
550.376 * * [simplify]: iters left: 6 (20 enodes)
550.380 * * [simplify]: iters left: 5 (92 enodes)
550.397 * * [simplify]: iters left: 4 (226 enodes)
550.454 * * [simplify]: Extracting #0: cost 1 inf + 0
550.454 * * [simplify]: Extracting #1: cost 3 inf + 0
550.454 * * [simplify]: Extracting #2: cost 17 inf + 0
550.454 * * [simplify]: Extracting #3: cost 61 inf + 0
550.454 * * [simplify]: Extracting #4: cost 105 inf + 2
550.455 * * [simplify]: Extracting #5: cost 136 inf + 44
550.455 * * [simplify]: Extracting #6: cost 115 inf + 2077
550.461 * * [simplify]: Extracting #7: cost 26 inf + 29301
550.471 * * [simplify]: Extracting #8: cost 1 inf + 34763
550.480 * * [simplify]: Extracting #9: cost 0 inf + 34287
550.489 * * [simplify]: Extracting #10: cost 0 inf + 34207
550.498 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
550.498 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (+ phi1 phi2) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))))
550.499 * * * * [progress]: [ 802 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
550.499 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
550.499 * * [simplify]: iters left: 6 (52 enodes)
550.512 * * [simplify]: iters left: 5 (254 enodes)
550.567 * * [simplify]: Extracting #0: cost 1 inf + 0
550.567 * * [simplify]: Extracting #1: cost 3 inf + 0
550.567 * * [simplify]: Extracting #2: cost 6 inf + 0
550.567 * * [simplify]: Extracting #3: cost 56 inf + 0
550.567 * * [simplify]: Extracting #4: cost 130 inf + 0
550.568 * * [simplify]: Extracting #5: cost 210 inf + 0
550.568 * * [simplify]: Extracting #6: cost 293 inf + 933
550.570 * * [simplify]: Extracting #7: cost 255 inf + 8042
550.574 * * [simplify]: Extracting #8: cost 147 inf + 31039
550.584 * * [simplify]: Extracting #9: cost 62 inf + 63036
550.605 * * [simplify]: Extracting #10: cost 9 inf + 111311
550.629 * * [simplify]: Extracting #11: cost 1 inf + 121391
550.653 * * [simplify]: Extracting #12: cost 0 inf + 123416
550.679 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))
550.679 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
550.680 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
550.680 * * [simplify]: iters left: 6 (25 enodes)
550.686 * * [simplify]: iters left: 5 (117 enodes)
550.709 * * [simplify]: iters left: 4 (342 enodes)
550.844 * * [simplify]: Extracting #0: cost 1 inf + 0
550.844 * * [simplify]: Extracting #1: cost 3 inf + 0
550.844 * * [simplify]: Extracting #2: cost 44 inf + 0
550.845 * * [simplify]: Extracting #3: cost 314 inf + 0
550.847 * * [simplify]: Extracting #4: cost 485 inf + 451
550.850 * * [simplify]: Extracting #5: cost 467 inf + 13503
550.861 * * [simplify]: Extracting #6: cost 323 inf + 45845
550.888 * * [simplify]: Extracting #7: cost 139 inf + 131854
550.933 * * [simplify]: Extracting #8: cost 5 inf + 217037
550.985 * * [simplify]: Extracting #9: cost 0 inf + 220937
551.034 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))
551.035 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))))
551.035 * * * * [progress]: [ 803 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
551.036 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
551.036 * * [simplify]: iters left: 6 (53 enodes)
551.049 * * [simplify]: iters left: 5 (263 enodes)
551.105 * * [simplify]: Extracting #0: cost 1 inf + 0
551.105 * * [simplify]: Extracting #1: cost 3 inf + 0
551.105 * * [simplify]: Extracting #2: cost 6 inf + 0
551.105 * * [simplify]: Extracting #3: cost 60 inf + 0
551.105 * * [simplify]: Extracting #4: cost 153 inf + 0
551.106 * * [simplify]: Extracting #5: cost 224 inf + 44
551.107 * * [simplify]: Extracting #6: cost 272 inf + 4197
551.109 * * [simplify]: Extracting #7: cost 239 inf + 11126
551.114 * * [simplify]: Extracting #8: cost 145 inf + 36130
551.124 * * [simplify]: Extracting #9: cost 65 inf + 64733
551.146 * * [simplify]: Extracting #10: cost 11 inf + 112541
551.171 * * [simplify]: Extracting #11: cost 0 inf + 126233
551.195 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
551.195 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
551.196 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
551.196 * * [simplify]: iters left: 6 (26 enodes)
551.202 * * [simplify]: iters left: 5 (121 enodes)
551.226 * * [simplify]: iters left: 4 (339 enodes)
551.360 * * [simplify]: Extracting #0: cost 1 inf + 0
551.360 * * [simplify]: Extracting #1: cost 3 inf + 0
551.360 * * [simplify]: Extracting #2: cost 70 inf + 0
551.361 * * [simplify]: Extracting #3: cost 324 inf + 0
551.362 * * [simplify]: Extracting #4: cost 430 inf + 249
551.365 * * [simplify]: Extracting #5: cost 437 inf + 7208
551.371 * * [simplify]: Extracting #6: cost 334 inf + 27095
551.395 * * [simplify]: Extracting #7: cost 120 inf + 125183
551.439 * * [simplify]: Extracting #8: cost 0 inf + 195303
551.481 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))
551.481 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))))
551.482 * * * * [progress]: [ 804 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
551.482 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
551.482 * * [simplify]: iters left: 6 (53 enodes)
551.496 * * [simplify]: iters left: 5 (263 enodes)
551.552 * * [simplify]: Extracting #0: cost 1 inf + 0
551.552 * * [simplify]: Extracting #1: cost 3 inf + 0
551.552 * * [simplify]: Extracting #2: cost 6 inf + 0
551.552 * * [simplify]: Extracting #3: cost 62 inf + 0
551.552 * * [simplify]: Extracting #4: cost 151 inf + 0
551.553 * * [simplify]: Extracting #5: cost 220 inf + 44
551.554 * * [simplify]: Extracting #6: cost 266 inf + 4801
551.557 * * [simplify]: Extracting #7: cost 233 inf + 12094
551.561 * * [simplify]: Extracting #8: cost 169 inf + 24350
551.568 * * [simplify]: Extracting #9: cost 109 inf + 46350
551.582 * * [simplify]: Extracting #10: cost 50 inf + 74097
551.603 * * [simplify]: Extracting #11: cost 6 inf + 119675
551.629 * * [simplify]: Extracting #12: cost 0 inf + 126465
551.654 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
551.654 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
551.655 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
551.655 * * [simplify]: iters left: 6 (26 enodes)
551.660 * * [simplify]: iters left: 5 (121 enodes)
551.684 * * [simplify]: iters left: 4 (337 enodes)
551.810 * * [simplify]: Extracting #0: cost 1 inf + 0
551.810 * * [simplify]: Extracting #1: cost 3 inf + 0
551.810 * * [simplify]: Extracting #2: cost 62 inf + 0
551.811 * * [simplify]: Extracting #3: cost 299 inf + 0
551.812 * * [simplify]: Extracting #4: cost 390 inf + 410
551.815 * * [simplify]: Extracting #5: cost 403 inf + 5198
551.820 * * [simplify]: Extracting #6: cost 287 inf + 27643
551.837 * * [simplify]: Extracting #7: cost 131 inf + 90822
551.874 * * [simplify]: Extracting #8: cost 4 inf + 168653
551.911 * * [simplify]: Extracting #9: cost 0 inf + 171029
551.951 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))
551.951 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))))
551.951 * * * * [progress]: [ 805 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
551.952 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
551.952 * * [simplify]: iters left: 6 (47 enodes)
551.964 * * [simplify]: iters left: 5 (227 enodes)
552.008 * * [simplify]: Extracting #0: cost 1 inf + 0
552.009 * * [simplify]: Extracting #1: cost 3 inf + 0
552.009 * * [simplify]: Extracting #2: cost 6 inf + 0
552.009 * * [simplify]: Extracting #3: cost 54 inf + 0
552.009 * * [simplify]: Extracting #4: cost 119 inf + 0
552.009 * * [simplify]: Extracting #5: cost 168 inf + 44
552.010 * * [simplify]: Extracting #6: cost 236 inf + 1233
552.011 * * [simplify]: Extracting #7: cost 219 inf + 4160
552.015 * * [simplify]: Extracting #8: cost 138 inf + 21994
552.024 * * [simplify]: Extracting #9: cost 81 inf + 42717
552.040 * * [simplify]: Extracting #10: cost 11 inf + 92518
552.059 * * [simplify]: Extracting #11: cost 1 inf + 101259
552.079 * * [simplify]: Extracting #12: cost 0 inf + 102284
552.100 * * [simplify]: Extracting #13: cost 0 inf + 102244
552.120 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
552.120 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
552.120 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))
552.121 * * [simplify]: iters left: 6 (21 enodes)
552.126 * * [simplify]: iters left: 5 (99 enodes)
552.144 * * [simplify]: iters left: 4 (267 enodes)
552.216 * * [simplify]: Extracting #0: cost 1 inf + 0
552.216 * * [simplify]: Extracting #1: cost 3 inf + 0
552.216 * * [simplify]: Extracting #2: cost 35 inf + 0
552.216 * * [simplify]: Extracting #3: cost 156 inf + 0
552.217 * * [simplify]: Extracting #4: cost 218 inf + 43
552.218 * * [simplify]: Extracting #5: cost 234 inf + 1388
552.220 * * [simplify]: Extracting #6: cost 160 inf + 15517
552.231 * * [simplify]: Extracting #7: cost 60 inf + 55373
552.250 * * [simplify]: Extracting #8: cost 4 inf + 83807
552.273 * * [simplify]: Extracting #9: cost 0 inf + 81581
552.291 * * [simplify]: Extracting #10: cost 0 inf + 81021
552.309 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))
552.310 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
552.310 * * * * [progress]: [ 806 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
552.310 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
552.311 * * [simplify]: iters left: 6 (52 enodes)
552.323 * * [simplify]: iters left: 5 (255 enodes)
552.376 * * [simplify]: Extracting #0: cost 1 inf + 0
552.377 * * [simplify]: Extracting #1: cost 3 inf + 0
552.377 * * [simplify]: Extracting #2: cost 10 inf + 0
552.377 * * [simplify]: Extracting #3: cost 74 inf + 0
552.377 * * [simplify]: Extracting #4: cost 137 inf + 1
552.377 * * [simplify]: Extracting #5: cost 189 inf + 248
552.378 * * [simplify]: Extracting #6: cost 259 inf + 2161
552.380 * * [simplify]: Extracting #7: cost 234 inf + 7787
552.384 * * [simplify]: Extracting #8: cost 156 inf + 24030
552.392 * * [simplify]: Extracting #9: cost 65 inf + 56926
552.411 * * [simplify]: Extracting #10: cost 8 inf + 107895
552.436 * * [simplify]: Extracting #11: cost 0 inf + 117975
552.459 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))))
552.459 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
552.460 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
552.460 * * [simplify]: iters left: 6 (24 enodes)
552.465 * * [simplify]: iters left: 5 (112 enodes)
552.486 * * [simplify]: iters left: 4 (284 enodes)
552.567 * * [simplify]: Extracting #0: cost 1 inf + 0
552.567 * * [simplify]: Extracting #1: cost 3 inf + 0
552.567 * * [simplify]: Extracting #2: cost 33 inf + 0
552.568 * * [simplify]: Extracting #3: cost 142 inf + 0
552.568 * * [simplify]: Extracting #4: cost 225 inf + 290
552.570 * * [simplify]: Extracting #5: cost 271 inf + 986
552.571 * * [simplify]: Extracting #6: cost 234 inf + 5299
552.578 * * [simplify]: Extracting #7: cost 117 inf + 38127
552.597 * * [simplify]: Extracting #8: cost 7 inf + 92267
552.619 * * [simplify]: Extracting #9: cost 0 inf + 96212
552.641 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))
552.641 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))))
552.641 * * * * [progress]: [ 807 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
552.642 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
552.642 * * [simplify]: iters left: 6 (47 enodes)
552.655 * * [simplify]: iters left: 5 (227 enodes)
552.699 * * [simplify]: Extracting #0: cost 1 inf + 0
552.699 * * [simplify]: Extracting #1: cost 3 inf + 0
552.699 * * [simplify]: Extracting #2: cost 10 inf + 0
552.699 * * [simplify]: Extracting #3: cost 66 inf + 0
552.700 * * [simplify]: Extracting #4: cost 117 inf + 44
552.700 * * [simplify]: Extracting #5: cost 154 inf + 1064
552.701 * * [simplify]: Extracting #6: cost 223 inf + 2972
552.702 * * [simplify]: Extracting #7: cost 222 inf + 3629
552.706 * * [simplify]: Extracting #8: cost 139 inf + 22490
552.716 * * [simplify]: Extracting #9: cost 58 inf + 56294
552.732 * * [simplify]: Extracting #10: cost 5 inf + 93169
552.752 * * [simplify]: Extracting #11: cost 1 inf + 97469
552.771 * * [simplify]: Extracting #12: cost 0 inf + 99334
552.791 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))
552.791 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
552.791 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))
552.792 * * [simplify]: iters left: 6 (20 enodes)
552.796 * * [simplify]: iters left: 5 (94 enodes)
552.814 * * [simplify]: iters left: 4 (227 enodes)
552.862 * * [simplify]: Extracting #0: cost 1 inf + 0
552.862 * * [simplify]: Extracting #1: cost 3 inf + 0
552.862 * * [simplify]: Extracting #2: cost 23 inf + 0
552.862 * * [simplify]: Extracting #3: cost 70 inf + 0
552.863 * * [simplify]: Extracting #4: cost 116 inf + 44
552.863 * * [simplify]: Extracting #5: cost 149 inf + 86
552.864 * * [simplify]: Extracting #6: cost 128 inf + 2240
552.871 * * [simplify]: Extracting #7: cost 37 inf + 29941
552.880 * * [simplify]: Extracting #8: cost 5 inf + 40193
552.891 * * [simplify]: Extracting #9: cost 0 inf + 41169
552.901 * * [simplify]: Extracting #10: cost 0 inf + 41089
552.911 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))
552.911 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))
552.911 * * * * [progress]: [ 808 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
552.911 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
552.912 * * [simplify]: iters left: 6 (52 enodes)
552.925 * * [simplify]: iters left: 5 (255 enodes)
552.979 * * [simplify]: Extracting #0: cost 1 inf + 0
552.979 * * [simplify]: Extracting #1: cost 3 inf + 0
552.979 * * [simplify]: Extracting #2: cost 10 inf + 0
552.979 * * [simplify]: Extracting #3: cost 74 inf + 0
552.979 * * [simplify]: Extracting #4: cost 137 inf + 1
552.980 * * [simplify]: Extracting #5: cost 189 inf + 248
552.980 * * [simplify]: Extracting #6: cost 262 inf + 1395
552.982 * * [simplify]: Extracting #7: cost 242 inf + 5801
552.985 * * [simplify]: Extracting #8: cost 154 inf + 24599
552.994 * * [simplify]: Extracting #9: cost 65 inf + 57406
553.012 * * [simplify]: Extracting #10: cost 8 inf + 108855
553.038 * * [simplify]: Extracting #11: cost 0 inf + 118935
553.061 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))))
553.061 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
553.062 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
553.062 * * [simplify]: iters left: 6 (24 enodes)
553.067 * * [simplify]: iters left: 5 (112 enodes)
553.087 * * [simplify]: iters left: 4 (284 enodes)
553.163 * * [simplify]: Extracting #0: cost 1 inf + 0
553.163 * * [simplify]: Extracting #1: cost 3 inf + 0
553.163 * * [simplify]: Extracting #2: cost 33 inf + 0
553.164 * * [simplify]: Extracting #3: cost 142 inf + 0
553.167 * * [simplify]: Extracting #4: cost 225 inf + 290
553.168 * * [simplify]: Extracting #5: cost 271 inf + 986
553.170 * * [simplify]: Extracting #6: cost 234 inf + 5299
553.176 * * [simplify]: Extracting #7: cost 117 inf + 38127
553.195 * * [simplify]: Extracting #8: cost 7 inf + 92267
553.218 * * [simplify]: Extracting #9: cost 0 inf + 96212
553.240 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))
553.240 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))))
553.241 * * * * [progress]: [ 809 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
553.241 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
553.241 * * [simplify]: iters left: 6 (47 enodes)
553.255 * * [simplify]: iters left: 5 (227 enodes)
553.299 * * [simplify]: Extracting #0: cost 1 inf + 0
553.299 * * [simplify]: Extracting #1: cost 3 inf + 0
553.299 * * [simplify]: Extracting #2: cost 10 inf + 0
553.299 * * [simplify]: Extracting #3: cost 65 inf + 0
553.299 * * [simplify]: Extracting #4: cost 116 inf + 86
553.300 * * [simplify]: Extracting #5: cost 149 inf + 1594
553.301 * * [simplify]: Extracting #6: cost 223 inf + 2932
553.302 * * [simplify]: Extracting #7: cost 219 inf + 4156
553.305 * * [simplify]: Extracting #8: cost 139 inf + 21723
553.314 * * [simplify]: Extracting #9: cost 56 inf + 58182
553.332 * * [simplify]: Extracting #10: cost 5 inf + 93249
553.351 * * [simplify]: Extracting #11: cost 1 inf + 97869
553.371 * * [simplify]: Extracting #12: cost 0 inf + 99734
553.391 * [simplify]: Simplified to (sqrt (+ (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))
553.391 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
553.391 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))
553.391 * * [simplify]: iters left: 6 (20 enodes)
553.396 * * [simplify]: iters left: 5 (94 enodes)
553.413 * * [simplify]: iters left: 4 (227 enodes)
553.462 * * [simplify]: Extracting #0: cost 1 inf + 0
553.462 * * [simplify]: Extracting #1: cost 3 inf + 0
553.462 * * [simplify]: Extracting #2: cost 23 inf + 0
553.462 * * [simplify]: Extracting #3: cost 70 inf + 0
553.462 * * [simplify]: Extracting #4: cost 116 inf + 44
553.463 * * [simplify]: Extracting #5: cost 149 inf + 86
553.464 * * [simplify]: Extracting #6: cost 128 inf + 2240
553.469 * * [simplify]: Extracting #7: cost 37 inf + 29941
553.479 * * [simplify]: Extracting #8: cost 5 inf + 40193
553.490 * * [simplify]: Extracting #9: cost 0 inf + 41169
553.500 * * [simplify]: Extracting #10: cost 0 inf + 41089
553.509 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))
553.509 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))
553.510 * * * * [progress]: [ 810 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
553.510 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
553.510 * * [simplify]: iters left: 6 (48 enodes)
553.523 * * [simplify]: iters left: 5 (230 enodes)
553.573 * * [simplify]: Extracting #0: cost 1 inf + 0
553.573 * * [simplify]: Extracting #1: cost 3 inf + 0
553.573 * * [simplify]: Extracting #2: cost 6 inf + 0
553.573 * * [simplify]: Extracting #3: cost 54 inf + 0
553.574 * * [simplify]: Extracting #4: cost 120 inf + 0
553.574 * * [simplify]: Extracting #5: cost 192 inf + 0
553.575 * * [simplify]: Extracting #6: cost 262 inf + 762
553.576 * * [simplify]: Extracting #7: cost 231 inf + 6547
553.579 * * [simplify]: Extracting #8: cost 138 inf + 25097
553.587 * * [simplify]: Extracting #9: cost 71 inf + 48676
553.603 * * [simplify]: Extracting #10: cost 17 inf + 92594
553.623 * * [simplify]: Extracting #11: cost 4 inf + 105008
553.647 * * [simplify]: Extracting #12: cost 0 inf + 109125
553.669 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
553.669 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
553.670 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
553.670 * * [simplify]: iters left: 6 (23 enodes)
553.676 * * [simplify]: iters left: 5 (105 enodes)
553.700 * * [simplify]: iters left: 4 (314 enodes)
553.827 * * [simplify]: Extracting #0: cost 1 inf + 0
553.827 * * [simplify]: Extracting #1: cost 3 inf + 0
553.827 * * [simplify]: Extracting #2: cost 37 inf + 0
553.828 * * [simplify]: Extracting #3: cost 277 inf + 0
553.829 * * [simplify]: Extracting #4: cost 434 inf + 124
553.831 * * [simplify]: Extracting #5: cost 430 inf + 4230
553.848 * * [simplify]: Extracting #6: cost 211 inf + 84993
553.889 * * [simplify]: Extracting #7: cost 11 inf + 180741
553.932 * * [simplify]: Extracting #8: cost 0 inf + 177817
553.974 * * [simplify]: Extracting #9: cost 0 inf + 177377
554.016 * * [simplify]: Extracting #10: cost 0 inf + 177337
554.058 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))
554.058 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))
554.059 * * * * [progress]: [ 811 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
554.059 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
554.059 * * [simplify]: iters left: 6 (49 enodes)
554.072 * * [simplify]: iters left: 5 (239 enodes)
554.123 * * [simplify]: Extracting #0: cost 1 inf + 0
554.123 * * [simplify]: Extracting #1: cost 3 inf + 0
554.123 * * [simplify]: Extracting #2: cost 6 inf + 0
554.123 * * [simplify]: Extracting #3: cost 58 inf + 0
554.123 * * [simplify]: Extracting #4: cost 143 inf + 0
554.124 * * [simplify]: Extracting #5: cost 205 inf + 85
554.125 * * [simplify]: Extracting #6: cost 236 inf + 5408
554.127 * * [simplify]: Extracting #7: cost 206 inf + 12451
554.131 * * [simplify]: Extracting #8: cost 156 inf + 20789
554.137 * * [simplify]: Extracting #9: cost 103 inf + 40370
554.146 * * [simplify]: Extracting #10: cost 52 inf + 62703
554.159 * * [simplify]: Extracting #11: cost 32 inf + 76062
554.178 * * [simplify]: Extracting #12: cost 2 inf + 108812
554.202 * * [simplify]: Extracting #13: cost 0 inf + 111822
554.223 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ phi2 phi1)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
554.223 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ phi2 phi1)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
554.224 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
554.224 * * [simplify]: iters left: 6 (24 enodes)
554.229 * * [simplify]: iters left: 5 (109 enodes)
554.249 * * [simplify]: iters left: 4 (311 enodes)
554.370 * * [simplify]: Extracting #0: cost 1 inf + 0
554.370 * * [simplify]: Extracting #1: cost 3 inf + 0
554.371 * * [simplify]: Extracting #2: cost 61 inf + 0
554.371 * * [simplify]: Extracting #3: cost 291 inf + 0
554.372 * * [simplify]: Extracting #4: cost 374 inf + 332
554.375 * * [simplify]: Extracting #5: cost 360 inf + 7175
554.397 * * [simplify]: Extracting #6: cost 140 inf + 105480
554.435 * * [simplify]: Extracting #7: cost 5 inf + 161215
554.472 * * [simplify]: Extracting #8: cost 0 inf + 156233
554.510 * * [simplify]: Extracting #9: cost 0 inf + 155993
554.547 * [simplify]: Simplified to (sqrt (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))
554.547 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (+ phi2 phi1)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))
554.547 * * * * [progress]: [ 812 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
554.548 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
554.548 * * [simplify]: iters left: 6 (49 enodes)
554.560 * * [simplify]: iters left: 5 (239 enodes)
554.612 * * [simplify]: Extracting #0: cost 1 inf + 0
554.612 * * [simplify]: Extracting #1: cost 3 inf + 0
554.612 * * [simplify]: Extracting #2: cost 6 inf + 0
554.612 * * [simplify]: Extracting #3: cost 60 inf + 0
554.612 * * [simplify]: Extracting #4: cost 141 inf + 0
554.613 * * [simplify]: Extracting #5: cost 200 inf + 166
554.614 * * [simplify]: Extracting #6: cost 224 inf + 7382
554.617 * * [simplify]: Extracting #7: cost 199 inf + 12475
554.621 * * [simplify]: Extracting #8: cost 137 inf + 25098
554.628 * * [simplify]: Extracting #9: cost 79 inf + 43910
554.640 * * [simplify]: Extracting #10: cost 48 inf + 63755
554.659 * * [simplify]: Extracting #11: cost 2 inf + 106484
554.680 * * [simplify]: Extracting #12: cost 0 inf + 109494
554.700 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))))
554.701 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
554.701 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
554.701 * * [simplify]: iters left: 6 (24 enodes)
554.707 * * [simplify]: iters left: 5 (109 enodes)
554.728 * * [simplify]: iters left: 4 (309 enodes)
554.845 * * [simplify]: Extracting #0: cost 1 inf + 0
554.845 * * [simplify]: Extracting #1: cost 3 inf + 0
554.846 * * [simplify]: Extracting #2: cost 55 inf + 0
554.846 * * [simplify]: Extracting #3: cost 272 inf + 0
554.847 * * [simplify]: Extracting #4: cost 346 inf + 412
554.850 * * [simplify]: Extracting #5: cost 320 inf + 8959
554.864 * * [simplify]: Extracting #6: cost 144 inf + 80808
554.897 * * [simplify]: Extracting #7: cost 5 inf + 147033
554.934 * * [simplify]: Extracting #8: cost 0 inf + 141213
554.967 * * [simplify]: Extracting #9: cost 0 inf + 140813
555.000 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))
555.000 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))
555.000 * * * * [progress]: [ 813 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
555.000 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
555.001 * * [simplify]: iters left: 6 (43 enodes)
555.012 * * [simplify]: iters left: 5 (203 enodes)
555.052 * * [simplify]: Extracting #0: cost 1 inf + 0
555.052 * * [simplify]: Extracting #1: cost 3 inf + 0
555.052 * * [simplify]: Extracting #2: cost 6 inf + 0
555.052 * * [simplify]: Extracting #3: cost 52 inf + 0
555.052 * * [simplify]: Extracting #4: cost 109 inf + 0
555.052 * * [simplify]: Extracting #5: cost 149 inf + 126
555.053 * * [simplify]: Extracting #6: cost 204 inf + 1517
555.054 * * [simplify]: Extracting #7: cost 195 inf + 3428
555.056 * * [simplify]: Extracting #8: cost 151 inf + 8954
555.060 * * [simplify]: Extracting #9: cost 102 inf + 25130
555.069 * * [simplify]: Extracting #10: cost 31 inf + 58679
555.082 * * [simplify]: Extracting #11: cost 6 inf + 78523
555.100 * * [simplify]: Extracting #12: cost 0 inf + 85993
555.117 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))
555.117 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
555.117 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
555.118 * * [simplify]: iters left: 6 (19 enodes)
555.122 * * [simplify]: iters left: 5 (87 enodes)
555.137 * * [simplify]: iters left: 4 (239 enodes)
555.203 * * [simplify]: Extracting #0: cost 1 inf + 0
555.203 * * [simplify]: Extracting #1: cost 3 inf + 0
555.203 * * [simplify]: Extracting #2: cost 29 inf + 0
555.204 * * [simplify]: Extracting #3: cost 137 inf + 0
555.204 * * [simplify]: Extracting #4: cost 185 inf + 167
555.205 * * [simplify]: Extracting #5: cost 187 inf + 3984
555.209 * * [simplify]: Extracting #6: cost 130 inf + 20889
555.225 * * [simplify]: Extracting #7: cost 9 inf + 66617
555.243 * * [simplify]: Extracting #8: cost 0 inf + 64887
555.258 * * [simplify]: Extracting #9: cost 0 inf + 63967
555.274 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (+ phi1 phi2)) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))
555.274 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (+ phi1 phi2)) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))))
555.275 * * * * [progress]: [ 814 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
555.275 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
555.275 * * [simplify]: iters left: 6 (48 enodes)
555.287 * * [simplify]: iters left: 5 (231 enodes)
555.336 * * [simplify]: Extracting #0: cost 1 inf + 0
555.336 * * [simplify]: Extracting #1: cost 3 inf + 0
555.336 * * [simplify]: Extracting #2: cost 10 inf + 0
555.337 * * [simplify]: Extracting #3: cost 72 inf + 0
555.337 * * [simplify]: Extracting #4: cost 126 inf + 42
555.337 * * [simplify]: Extracting #5: cost 172 inf + 207
555.338 * * [simplify]: Extracting #6: cost 226 inf + 2245
555.339 * * [simplify]: Extracting #7: cost 212 inf + 6187
555.342 * * [simplify]: Extracting #8: cost 161 inf + 13777
555.346 * * [simplify]: Extracting #9: cost 94 inf + 36136
555.358 * * [simplify]: Extracting #10: cost 26 inf + 75977
555.376 * * [simplify]: Extracting #11: cost 2 inf + 101074
555.395 * * [simplify]: Extracting #12: cost 0 inf + 103884
555.417 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
555.417 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
555.418 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
555.418 * * [simplify]: iters left: 6 (22 enodes)
555.423 * * [simplify]: iters left: 5 (100 enodes)
555.440 * * [simplify]: iters left: 4 (256 enodes)
555.511 * * [simplify]: Extracting #0: cost 1 inf + 0
555.511 * * [simplify]: Extracting #1: cost 3 inf + 0
555.511 * * [simplify]: Extracting #2: cost 28 inf + 0
555.512 * * [simplify]: Extracting #3: cost 105 inf + 0
555.512 * * [simplify]: Extracting #4: cost 175 inf + 372
555.513 * * [simplify]: Extracting #5: cost 198 inf + 1068
555.517 * * [simplify]: Extracting #6: cost 126 inf + 22810
555.534 * * [simplify]: Extracting #7: cost 6 inf + 71989
555.554 * * [simplify]: Extracting #8: cost 0 inf + 68047
555.571 * * [simplify]: Extracting #9: cost 0 inf + 67367
555.588 * * [simplify]: Extracting #10: cost 0 inf + 67327
555.604 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))
555.605 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
555.605 * * * * [progress]: [ 815 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
555.605 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
555.606 * * [simplify]: iters left: 6 (43 enodes)
555.617 * * [simplify]: iters left: 5 (203 enodes)
555.656 * * [simplify]: Extracting #0: cost 1 inf + 0
555.657 * * [simplify]: Extracting #1: cost 3 inf + 0
555.657 * * [simplify]: Extracting #2: cost 10 inf + 0
555.657 * * [simplify]: Extracting #3: cost 64 inf + 0
555.657 * * [simplify]: Extracting #4: cost 106 inf + 86
555.657 * * [simplify]: Extracting #5: cost 135 inf + 986
555.658 * * [simplify]: Extracting #6: cost 192 inf + 2932
555.659 * * [simplify]: Extracting #7: cost 196 inf + 3221
555.662 * * [simplify]: Extracting #8: cost 117 inf + 20886
555.670 * * [simplify]: Extracting #9: cost 53 inf + 48385
555.685 * * [simplify]: Extracting #10: cost 8 inf + 80335
555.702 * * [simplify]: Extracting #11: cost 0 inf + 84203
555.720 * * [simplify]: Extracting #12: cost 0 inf + 83923
555.736 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))))
555.736 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
555.737 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
555.737 * * [simplify]: iters left: 6 (18 enodes)
555.741 * * [simplify]: iters left: 5 (82 enodes)
555.755 * * [simplify]: iters left: 4 (199 enodes)
555.801 * * [simplify]: iters left: 3 (493 enodes)
555.922 * * [simplify]: Extracting #0: cost 1 inf + 0
555.922 * * [simplify]: Extracting #1: cost 3 inf + 0
555.922 * * [simplify]: Extracting #2: cost 32 inf + 0
555.922 * * [simplify]: Extracting #3: cost 67 inf + 0
555.923 * * [simplify]: Extracting #4: cost 106 inf + 44
555.923 * * [simplify]: Extracting #5: cost 180 inf + 86
555.926 * * [simplify]: Extracting #6: cost 134 inf + 11266
555.935 * * [simplify]: Extracting #7: cost 27 inf + 43236
555.946 * * [simplify]: Extracting #8: cost 0 inf + 47746
555.957 * * [simplify]: Extracting #9: cost 0 inf + 46186
555.968 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
555.969 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ phi1 phi2) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))))
555.969 * * * * [progress]: [ 816 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
555.969 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
555.970 * * [simplify]: iters left: 6 (48 enodes)
555.984 * * [simplify]: iters left: 5 (231 enodes)
556.030 * * [simplify]: Extracting #0: cost 1 inf + 0
556.030 * * [simplify]: Extracting #1: cost 3 inf + 0
556.030 * * [simplify]: Extracting #2: cost 10 inf + 0
556.030 * * [simplify]: Extracting #3: cost 72 inf + 0
556.030 * * [simplify]: Extracting #4: cost 126 inf + 42
556.031 * * [simplify]: Extracting #5: cost 171 inf + 249
556.032 * * [simplify]: Extracting #6: cost 224 inf + 2568
556.033 * * [simplify]: Extracting #7: cost 209 inf + 7044
556.035 * * [simplify]: Extracting #8: cost 163 inf + 13615
556.042 * * [simplify]: Extracting #9: cost 97 inf + 35061
556.053 * * [simplify]: Extracting #10: cost 26 inf + 76937
556.071 * * [simplify]: Extracting #11: cost 2 inf + 102034
556.090 * * [simplify]: Extracting #12: cost 0 inf + 104844
556.110 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))
556.110 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
556.111 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
556.111 * * [simplify]: iters left: 6 (22 enodes)
556.116 * * [simplify]: iters left: 5 (100 enodes)
556.134 * * [simplify]: iters left: 4 (256 enodes)
556.207 * * [simplify]: Extracting #0: cost 1 inf + 0
556.207 * * [simplify]: Extracting #1: cost 3 inf + 0
556.207 * * [simplify]: Extracting #2: cost 28 inf + 0
556.207 * * [simplify]: Extracting #3: cost 105 inf + 0
556.208 * * [simplify]: Extracting #4: cost 175 inf + 372
556.209 * * [simplify]: Extracting #5: cost 198 inf + 1068
556.213 * * [simplify]: Extracting #6: cost 126 inf + 22810
556.228 * * [simplify]: Extracting #7: cost 6 inf + 71989
556.246 * * [simplify]: Extracting #8: cost 0 inf + 68047
556.263 * * [simplify]: Extracting #9: cost 0 inf + 67367
556.281 * * [simplify]: Extracting #10: cost 0 inf + 67327
556.298 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))
556.299 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
556.299 * * * * [progress]: [ 817 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
556.299 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
556.300 * * [simplify]: iters left: 6 (43 enodes)
556.310 * * [simplify]: iters left: 5 (203 enodes)
556.350 * * [simplify]: Extracting #0: cost 1 inf + 0
556.351 * * [simplify]: Extracting #1: cost 3 inf + 0
556.351 * * [simplify]: Extracting #2: cost 10 inf + 0
556.351 * * [simplify]: Extracting #3: cost 63 inf + 0
556.351 * * [simplify]: Extracting #4: cost 107 inf + 44
556.351 * * [simplify]: Extracting #5: cost 134 inf + 1228
556.352 * * [simplify]: Extracting #6: cost 192 inf + 2932
556.353 * * [simplify]: Extracting #7: cost 196 inf + 3221
556.356 * * [simplify]: Extracting #8: cost 117 inf + 20324
556.365 * * [simplify]: Extracting #9: cost 44 inf + 55101
556.380 * * [simplify]: Extracting #10: cost 8 inf + 81057
556.397 * * [simplify]: Extracting #11: cost 0 inf + 84803
556.413 * * [simplify]: Extracting #12: cost 0 inf + 84323
556.430 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))))
556.430 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
556.430 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
556.431 * * [simplify]: iters left: 6 (18 enodes)
556.434 * * [simplify]: iters left: 5 (82 enodes)
556.449 * * [simplify]: iters left: 4 (199 enodes)
556.496 * * [simplify]: iters left: 3 (493 enodes)
556.613 * * [simplify]: Extracting #0: cost 1 inf + 0
556.613 * * [simplify]: Extracting #1: cost 3 inf + 0
556.613 * * [simplify]: Extracting #2: cost 32 inf + 0
556.615 * * [simplify]: Extracting #3: cost 67 inf + 0
556.616 * * [simplify]: Extracting #4: cost 106 inf + 44
556.616 * * [simplify]: Extracting #5: cost 180 inf + 86
556.619 * * [simplify]: Extracting #6: cost 134 inf + 11266
556.628 * * [simplify]: Extracting #7: cost 27 inf + 43236
556.639 * * [simplify]: Extracting #8: cost 0 inf + 47746
556.650 * * [simplify]: Extracting #9: cost 0 inf + 46186
556.661 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
556.661 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (+ phi1 phi2) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))))
556.662 * * * * [progress]: [ 818 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
556.662 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
556.663 * * [simplify]: iters left: 6 (51 enodes)
556.675 * * [simplify]: iters left: 5 (243 enodes)
556.726 * * [simplify]: Extracting #0: cost 1 inf + 0
556.726 * * [simplify]: Extracting #1: cost 3 inf + 0
556.726 * * [simplify]: Extracting #2: cost 6 inf + 0
556.726 * * [simplify]: Extracting #3: cost 56 inf + 0
556.726 * * [simplify]: Extracting #4: cost 130 inf + 0
556.727 * * [simplify]: Extracting #5: cost 207 inf + 0
556.727 * * [simplify]: Extracting #6: cost 271 inf + 1589
556.729 * * [simplify]: Extracting #7: cost 198 inf + 14396
556.735 * * [simplify]: Extracting #8: cost 126 inf + 36652
556.744 * * [simplify]: Extracting #9: cost 61 inf + 61101
556.762 * * [simplify]: Extracting #10: cost 8 inf + 111725
556.790 * * [simplify]: Extracting #11: cost 1 inf + 120820
556.815 * * [simplify]: Extracting #12: cost 0 inf + 122845
556.839 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
556.839 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
556.840 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
556.840 * * [simplify]: iters left: 6 (24 enodes)
556.845 * * [simplify]: iters left: 5 (108 enodes)
556.867 * * [simplify]: iters left: 4 (322 enodes)
557.001 * * [simplify]: Extracting #0: cost 1 inf + 0
557.001 * * [simplify]: Extracting #1: cost 3 inf + 0
557.001 * * [simplify]: Extracting #2: cost 43 inf + 0
557.002 * * [simplify]: Extracting #3: cost 311 inf + 0
557.004 * * [simplify]: Extracting #4: cost 482 inf + 85
557.014 * * [simplify]: Extracting #5: cost 330 inf + 65210
557.055 * * [simplify]: Extracting #6: cost 25 inf + 204222
557.107 * * [simplify]: Extracting #7: cost 0 inf + 205228
557.153 * * [simplify]: Extracting #8: cost 0 inf + 204588
557.199 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))
557.199 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))))
557.200 * * * * [progress]: [ 819 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
557.200 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
557.201 * * [simplify]: iters left: 6 (52 enodes)
557.213 * * [simplify]: iters left: 5 (252 enodes)
557.267 * * [simplify]: Extracting #0: cost 1 inf + 0
557.267 * * [simplify]: Extracting #1: cost 3 inf + 0
557.267 * * [simplify]: Extracting #2: cost 6 inf + 0
557.267 * * [simplify]: Extracting #3: cost 60 inf + 0
557.267 * * [simplify]: Extracting #4: cost 153 inf + 0
557.268 * * [simplify]: Extracting #5: cost 221 inf + 44
557.269 * * [simplify]: Extracting #6: cost 244 inf + 5666
557.272 * * [simplify]: Extracting #7: cost 186 inf + 16396
557.278 * * [simplify]: Extracting #8: cost 132 inf + 36726
557.287 * * [simplify]: Extracting #9: cost 87 inf + 56537
557.298 * * [simplify]: Extracting #10: cost 50 inf + 70692
557.319 * * [simplify]: Extracting #11: cost 7 inf + 117447
557.343 * * [simplify]: Extracting #12: cost 1 inf + 124477
557.367 * * [simplify]: Extracting #13: cost 0 inf + 126622
557.392 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))
557.392 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
557.392 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
557.393 * * [simplify]: iters left: 6 (25 enodes)
557.398 * * [simplify]: iters left: 5 (112 enodes)
557.420 * * [simplify]: iters left: 4 (319 enodes)
557.548 * * [simplify]: Extracting #0: cost 1 inf + 0
557.548 * * [simplify]: Extracting #1: cost 3 inf + 0
557.548 * * [simplify]: Extracting #2: cost 69 inf + 0
557.548 * * [simplify]: Extracting #3: cost 328 inf + 0
557.550 * * [simplify]: Extracting #4: cost 430 inf + 290
557.560 * * [simplify]: Extracting #5: cost 264 inf + 71777
557.596 * * [simplify]: Extracting #6: cost 10 inf + 188032
557.640 * * [simplify]: Extracting #7: cost 0 inf + 185429
557.684 * * [simplify]: Extracting #8: cost 0 inf + 185269
557.724 * [simplify]: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))))
557.724 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))))))))
557.725 * * * * [progress]: [ 820 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
557.725 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
557.725 * * [simplify]: iters left: 6 (52 enodes)
557.738 * * [simplify]: iters left: 5 (252 enodes)
557.792 * * [simplify]: Extracting #0: cost 1 inf + 0
557.793 * * [simplify]: Extracting #1: cost 3 inf + 0
557.793 * * [simplify]: Extracting #2: cost 6 inf + 0
557.793 * * [simplify]: Extracting #3: cost 62 inf + 0
557.793 * * [simplify]: Extracting #4: cost 151 inf + 0
557.793 * * [simplify]: Extracting #5: cost 217 inf + 44
557.795 * * [simplify]: Extracting #6: cost 241 inf + 6303
557.798 * * [simplify]: Extracting #7: cost 180 inf + 18484
557.804 * * [simplify]: Extracting #8: cost 135 inf + 33925
557.812 * * [simplify]: Extracting #9: cost 86 inf + 55069
557.823 * * [simplify]: Extracting #10: cost 50 inf + 69844
557.842 * * [simplify]: Extracting #11: cost 8 inf + 112974
557.866 * * [simplify]: Extracting #12: cost 1 inf + 120869
557.889 * * [simplify]: Extracting #13: cost 0 inf + 122974
557.912 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1)))))))
557.912 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
557.913 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
557.913 * * [simplify]: iters left: 6 (25 enodes)
557.918 * * [simplify]: iters left: 5 (112 enodes)
557.939 * * [simplify]: iters left: 4 (317 enodes)
558.060 * * [simplify]: Extracting #0: cost 1 inf + 0
558.061 * * [simplify]: Extracting #1: cost 3 inf + 0
558.061 * * [simplify]: Extracting #2: cost 61 inf + 0
558.061 * * [simplify]: Extracting #3: cost 297 inf + 0
558.066 * * [simplify]: Extracting #4: cost 378 inf + 292
558.074 * * [simplify]: Extracting #5: cost 245 inf + 54828
558.105 * * [simplify]: Extracting #6: cost 12 inf + 158598
558.139 * * [simplify]: Extracting #7: cost 0 inf + 157437
558.173 * * [simplify]: Extracting #8: cost 0 inf + 157357
558.207 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2)))))
558.207 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))))))))
558.208 * * * * [progress]: [ 821 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
558.208 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
558.208 * * [simplify]: iters left: 6 (46 enodes)
558.220 * * [simplify]: iters left: 5 (216 enodes)
558.267 * * [simplify]: Extracting #0: cost 1 inf + 0
558.267 * * [simplify]: Extracting #1: cost 3 inf + 0
558.267 * * [simplify]: Extracting #2: cost 6 inf + 0
558.267 * * [simplify]: Extracting #3: cost 54 inf + 0
558.268 * * [simplify]: Extracting #4: cost 119 inf + 0
558.268 * * [simplify]: Extracting #5: cost 164 inf + 86
558.269 * * [simplify]: Extracting #6: cost 218 inf + 1763
558.270 * * [simplify]: Extracting #7: cost 194 inf + 5710
558.272 * * [simplify]: Extracting #8: cost 160 inf + 10859
558.277 * * [simplify]: Extracting #9: cost 105 inf + 32367
558.286 * * [simplify]: Extracting #10: cost 43 inf + 57478
558.303 * * [simplify]: Extracting #11: cost 9 inf + 90888
558.324 * * [simplify]: Extracting #12: cost 0 inf + 101273
558.344 * * [simplify]: Extracting #13: cost 0 inf + 100953
558.365 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))
558.365 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
558.365 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))
558.366 * * [simplify]: iters left: 6 (20 enodes)
558.370 * * [simplify]: iters left: 5 (90 enodes)
558.386 * * [simplify]: iters left: 4 (247 enodes)
558.458 * * [simplify]: Extracting #0: cost 1 inf + 0
558.458 * * [simplify]: Extracting #1: cost 3 inf + 0
558.458 * * [simplify]: Extracting #2: cost 36 inf + 0
558.458 * * [simplify]: Extracting #3: cost 168 inf + 0
558.459 * * [simplify]: Extracting #4: cost 228 inf + 44
558.462 * * [simplify]: Extracting #5: cost 171 inf + 24069
558.477 * * [simplify]: Extracting #6: cost 28 inf + 77298
558.495 * * [simplify]: Extracting #7: cost 0 inf + 82943
558.513 * * [simplify]: Extracting #8: cost 0 inf + 81823
558.530 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))
558.530 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))))
558.531 * * * * [progress]: [ 822 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
558.531 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
558.531 * * [simplify]: iters left: 6 (51 enodes)
558.544 * * [simplify]: iters left: 5 (244 enodes)
558.598 * * [simplify]: Extracting #0: cost 1 inf + 0
558.598 * * [simplify]: Extracting #1: cost 3 inf + 0
558.598 * * [simplify]: Extracting #2: cost 10 inf + 0
558.598 * * [simplify]: Extracting #3: cost 74 inf + 0
558.598 * * [simplify]: Extracting #4: cost 137 inf + 1
558.599 * * [simplify]: Extracting #5: cost 186 inf + 249
558.600 * * [simplify]: Extracting #6: cost 239 inf + 2213
558.602 * * [simplify]: Extracting #7: cost 184 inf + 12982
558.606 * * [simplify]: Extracting #8: cost 133 inf + 31323
558.613 * * [simplify]: Extracting #9: cost 94 inf + 45521
558.623 * * [simplify]: Extracting #10: cost 48 inf + 65324
558.643 * * [simplify]: Extracting #11: cost 8 inf + 104524
558.665 * * [simplify]: Extracting #12: cost 0 inf + 115044
558.688 * * [simplify]: Extracting #13: cost 0 inf + 114644
558.710 * * [simplify]: Extracting #14: cost 0 inf + 114604
558.734 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))
558.734 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
558.735 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
558.735 * * [simplify]: iters left: 6 (23 enodes)
558.740 * * [simplify]: iters left: 5 (103 enodes)
558.758 * * [simplify]: iters left: 4 (264 enodes)
558.833 * * [simplify]: Extracting #0: cost 1 inf + 0
558.833 * * [simplify]: Extracting #1: cost 3 inf + 0
558.833 * * [simplify]: Extracting #2: cost 33 inf + 0
558.833 * * [simplify]: Extracting #3: cost 142 inf + 0
558.834 * * [simplify]: Extracting #4: cost 219 inf + 371
558.838 * * [simplify]: Extracting #5: cost 173 inf + 25254
558.856 * * [simplify]: Extracting #6: cost 20 inf + 83311
558.879 * * [simplify]: Extracting #7: cost 0 inf + 87385
558.898 * * [simplify]: Extracting #8: cost 0 inf + 87025
558.917 * [simplify]: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))
558.918 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))
558.918 * * * * [progress]: [ 823 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
558.918 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
558.919 * * [simplify]: iters left: 6 (46 enodes)
558.930 * * [simplify]: iters left: 5 (216 enodes)
558.973 * * [simplify]: Extracting #0: cost 1 inf + 0
558.973 * * [simplify]: Extracting #1: cost 3 inf + 0
558.973 * * [simplify]: Extracting #2: cost 10 inf + 0
558.973 * * [simplify]: Extracting #3: cost 66 inf + 0
558.974 * * [simplify]: Extracting #4: cost 117 inf + 44
558.974 * * [simplify]: Extracting #5: cost 154 inf + 618
558.975 * * [simplify]: Extracting #6: cost 209 inf + 2814
558.977 * * [simplify]: Extracting #7: cost 186 inf + 6321
558.980 * * [simplify]: Extracting #8: cost 113 inf + 26754
558.989 * * [simplify]: Extracting #9: cost 46 inf + 57523
559.007 * * [simplify]: Extracting #10: cost 3 inf + 91901
559.026 * * [simplify]: Extracting #11: cost 0 inf + 95683
559.048 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1)))))))
559.048 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
559.049 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
559.049 * * [simplify]: iters left: 6 (19 enodes)
559.053 * * [simplify]: iters left: 5 (85 enodes)
559.068 * * [simplify]: iters left: 4 (207 enodes)
559.117 * * [simplify]: Extracting #0: cost 1 inf + 0
559.117 * * [simplify]: Extracting #1: cost 3 inf + 0
559.117 * * [simplify]: Extracting #2: cost 23 inf + 0
559.117 * * [simplify]: Extracting #3: cost 69 inf + 0
559.117 * * [simplify]: Extracting #4: cost 112 inf + 44
559.118 * * [simplify]: Extracting #5: cost 128 inf + 1546
559.122 * * [simplify]: Extracting #6: cost 52 inf + 22843
559.130 * * [simplify]: Extracting #7: cost 1 inf + 39268
559.139 * * [simplify]: Extracting #8: cost 0 inf + 37950
559.148 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))))
559.148 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)))))))
559.149 * * * * [progress]: [ 824 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
559.149 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
559.149 * * [simplify]: iters left: 6 (51 enodes)
559.163 * * [simplify]: iters left: 5 (244 enodes)
559.216 * * [simplify]: Extracting #0: cost 1 inf + 0
559.216 * * [simplify]: Extracting #1: cost 3 inf + 0
559.216 * * [simplify]: Extracting #2: cost 10 inf + 0
559.216 * * [simplify]: Extracting #3: cost 74 inf + 0
559.217 * * [simplify]: Extracting #4: cost 137 inf + 1
559.217 * * [simplify]: Extracting #5: cost 187 inf + 207
559.218 * * [simplify]: Extracting #6: cost 241 inf + 2210
559.220 * * [simplify]: Extracting #7: cost 182 inf + 12945
559.225 * * [simplify]: Extracting #8: cost 133 inf + 31281
559.232 * * [simplify]: Extracting #9: cost 91 inf + 47354
559.242 * * [simplify]: Extracting #10: cost 49 inf + 65939
559.262 * * [simplify]: Extracting #11: cost 8 inf + 105484
559.285 * * [simplify]: Extracting #12: cost 0 inf + 116004
559.308 * * [simplify]: Extracting #13: cost 0 inf + 115604
559.330 * * [simplify]: Extracting #14: cost 0 inf + 115564
559.353 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))
559.353 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
559.354 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
559.354 * * [simplify]: iters left: 6 (23 enodes)
559.359 * * [simplify]: iters left: 5 (103 enodes)
559.379 * * [simplify]: iters left: 4 (264 enodes)
559.453 * * [simplify]: Extracting #0: cost 1 inf + 0
559.453 * * [simplify]: Extracting #1: cost 3 inf + 0
559.453 * * [simplify]: Extracting #2: cost 33 inf + 0
559.454 * * [simplify]: Extracting #3: cost 142 inf + 0
559.455 * * [simplify]: Extracting #4: cost 219 inf + 371
559.459 * * [simplify]: Extracting #5: cost 173 inf + 25254
559.475 * * [simplify]: Extracting #6: cost 20 inf + 83311
559.496 * * [simplify]: Extracting #7: cost 0 inf + 87385
559.519 * * [simplify]: Extracting #8: cost 0 inf + 87025
559.538 * [simplify]: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))
559.538 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))
559.539 * * * * [progress]: [ 825 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
559.539 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
559.539 * * [simplify]: iters left: 6 (46 enodes)
559.551 * * [simplify]: iters left: 5 (216 enodes)
559.595 * * [simplify]: Extracting #0: cost 1 inf + 0
559.595 * * [simplify]: Extracting #1: cost 3 inf + 0
559.595 * * [simplify]: Extracting #2: cost 10 inf + 0
559.595 * * [simplify]: Extracting #3: cost 65 inf + 0
559.595 * * [simplify]: Extracting #4: cost 117 inf + 44
559.596 * * [simplify]: Extracting #5: cost 151 inf + 904
559.596 * * [simplify]: Extracting #6: cost 208 inf + 2976
559.598 * * [simplify]: Extracting #7: cost 188 inf + 6119
559.602 * * [simplify]: Extracting #8: cost 112 inf + 28873
559.611 * * [simplify]: Extracting #9: cost 43 inf + 59891
559.624 * * [simplify]: Extracting #10: cost 17 inf + 79684
559.643 * * [simplify]: Extracting #11: cost 0 inf + 96203
559.662 * * [simplify]: Extracting #12: cost 0 inf + 96163
559.684 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
559.684 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (- lambda1 lambda2))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (cbrt (* (- lambda1 lambda2) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
559.685 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
559.685 * * [simplify]: iters left: 6 (19 enodes)
559.689 * * [simplify]: iters left: 5 (85 enodes)
559.703 * * [simplify]: iters left: 4 (207 enodes)
559.752 * * [simplify]: Extracting #0: cost 1 inf + 0
559.752 * * [simplify]: Extracting #1: cost 3 inf + 0
559.752 * * [simplify]: Extracting #2: cost 23 inf + 0
559.752 * * [simplify]: Extracting #3: cost 69 inf + 0
559.753 * * [simplify]: Extracting #4: cost 112 inf + 44
559.753 * * [simplify]: Extracting #5: cost 128 inf + 1546
559.757 * * [simplify]: Extracting #6: cost 52 inf + 22843
559.766 * * [simplify]: Extracting #7: cost 1 inf + 39268
559.775 * * [simplify]: Extracting #8: cost 0 inf + 37950
559.784 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))))
559.784 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)))))))
559.785 * * * * [progress]: [ 826 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
559.785 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
559.785 * * [simplify]: iters left: 6 (50 enodes)
559.800 * * [simplify]: iters left: 5 (239 enodes)
559.852 * * [simplify]: Extracting #0: cost 1 inf + 0
559.852 * * [simplify]: Extracting #1: cost 3 inf + 0
559.852 * * [simplify]: Extracting #2: cost 6 inf + 0
559.852 * * [simplify]: Extracting #3: cost 57 inf + 0
559.852 * * [simplify]: Extracting #4: cost 128 inf + 0
559.853 * * [simplify]: Extracting #5: cost 198 inf + 0
559.854 * * [simplify]: Extracting #6: cost 268 inf + 3660
559.855 * * [simplify]: Extracting #7: cost 216 inf + 11656
559.859 * * [simplify]: Extracting #8: cost 159 inf + 20370
559.864 * * [simplify]: Extracting #9: cost 114 inf + 34572
559.873 * * [simplify]: Extracting #10: cost 61 inf + 58397
559.891 * * [simplify]: Extracting #11: cost 10 inf + 104832
559.915 * * [simplify]: Extracting #12: cost 1 inf + 114937
559.938 * * [simplify]: Extracting #13: cost 0 inf + 116762
559.961 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))
559.961 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
559.962 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
559.962 * * [simplify]: iters left: 6 (23 enodes)
559.968 * * [simplify]: iters left: 5 (105 enodes)
559.988 * * [simplify]: iters left: 4 (314 enodes)
560.124 * * [simplify]: Extracting #0: cost 1 inf + 0
560.124 * * [simplify]: Extracting #1: cost 3 inf + 0
560.124 * * [simplify]: Extracting #2: cost 37 inf + 0
560.125 * * [simplify]: Extracting #3: cost 277 inf + 0
560.126 * * [simplify]: Extracting #4: cost 434 inf + 124
560.128 * * [simplify]: Extracting #5: cost 430 inf + 4230
560.143 * * [simplify]: Extracting #6: cost 211 inf + 84993
560.185 * * [simplify]: Extracting #7: cost 11 inf + 180741
560.230 * * [simplify]: Extracting #8: cost 0 inf + 177817
560.271 * * [simplify]: Extracting #9: cost 0 inf + 177377
560.313 * * [simplify]: Extracting #10: cost 0 inf + 177337
560.355 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))
560.355 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))
560.356 * * * * [progress]: [ 827 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
560.356 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
560.356 * * [simplify]: iters left: 6 (51 enodes)
560.370 * * [simplify]: iters left: 5 (248 enodes)
560.425 * * [simplify]: Extracting #0: cost 1 inf + 0
560.425 * * [simplify]: Extracting #1: cost 3 inf + 0
560.425 * * [simplify]: Extracting #2: cost 6 inf + 0
560.425 * * [simplify]: Extracting #3: cost 61 inf + 0
560.425 * * [simplify]: Extracting #4: cost 151 inf + 0
560.426 * * [simplify]: Extracting #5: cost 211 inf + 86
560.428 * * [simplify]: Extracting #6: cost 257 inf + 3468
560.431 * * [simplify]: Extracting #7: cost 223 inf + 10742
560.434 * * [simplify]: Extracting #8: cost 160 inf + 22482
560.440 * * [simplify]: Extracting #9: cost 104 inf + 43252
560.461 * * [simplify]: Extracting #10: cost 13 inf + 102894
560.483 * * [simplify]: Extracting #11: cost 1 inf + 114914
560.506 * * [simplify]: Extracting #12: cost 0 inf + 116739
560.529 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
560.529 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
560.529 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
560.530 * * [simplify]: iters left: 6 (24 enodes)
560.535 * * [simplify]: iters left: 5 (109 enodes)
560.557 * * [simplify]: iters left: 4 (311 enodes)
560.681 * * [simplify]: Extracting #0: cost 1 inf + 0
560.681 * * [simplify]: Extracting #1: cost 3 inf + 0
560.681 * * [simplify]: Extracting #2: cost 61 inf + 0
560.682 * * [simplify]: Extracting #3: cost 291 inf + 0
560.683 * * [simplify]: Extracting #4: cost 374 inf + 332
560.686 * * [simplify]: Extracting #5: cost 360 inf + 7175
560.705 * * [simplify]: Extracting #6: cost 140 inf + 105480
560.745 * * [simplify]: Extracting #7: cost 5 inf + 161215
560.785 * * [simplify]: Extracting #8: cost 0 inf + 156233
560.822 * * [simplify]: Extracting #9: cost 0 inf + 155993
560.860 * [simplify]: Simplified to (sqrt (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))
560.860 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))
560.861 * * * * [progress]: [ 828 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
560.861 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
560.861 * * [simplify]: iters left: 6 (51 enodes)
560.875 * * [simplify]: iters left: 5 (248 enodes)
560.928 * * [simplify]: Extracting #0: cost 1 inf + 0
560.928 * * [simplify]: Extracting #1: cost 3 inf + 0
560.928 * * [simplify]: Extracting #2: cost 6 inf + 0
560.929 * * [simplify]: Extracting #3: cost 63 inf + 0
560.929 * * [simplify]: Extracting #4: cost 149 inf + 0
560.929 * * [simplify]: Extracting #5: cost 208 inf + 44
560.930 * * [simplify]: Extracting #6: cost 254 inf + 3708
560.933 * * [simplify]: Extracting #7: cost 212 inf + 12826
560.937 * * [simplify]: Extracting #8: cost 148 inf + 25300
560.943 * * [simplify]: Extracting #9: cost 103 inf + 44078
560.953 * * [simplify]: Extracting #10: cost 57 inf + 63906
560.969 * * [simplify]: Extracting #11: cost 19 inf + 95576
560.991 * * [simplify]: Extracting #12: cost 1 inf + 113906
561.015 * * [simplify]: Extracting #13: cost 0 inf + 115771
561.037 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
561.037 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
561.038 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
561.038 * * [simplify]: iters left: 6 (24 enodes)
561.044 * * [simplify]: iters left: 5 (109 enodes)
561.065 * * [simplify]: iters left: 4 (309 enodes)
561.183 * * [simplify]: Extracting #0: cost 1 inf + 0
561.183 * * [simplify]: Extracting #1: cost 3 inf + 0
561.184 * * [simplify]: Extracting #2: cost 55 inf + 0
561.184 * * [simplify]: Extracting #3: cost 272 inf + 0
561.185 * * [simplify]: Extracting #4: cost 346 inf + 412
561.188 * * [simplify]: Extracting #5: cost 320 inf + 8959
561.202 * * [simplify]: Extracting #6: cost 144 inf + 80808
561.237 * * [simplify]: Extracting #7: cost 5 inf + 147033
561.271 * * [simplify]: Extracting #8: cost 0 inf + 141213
561.305 * * [simplify]: Extracting #9: cost 0 inf + 140813
561.338 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))
561.339 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))
561.339 * * * * [progress]: [ 829 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
561.339 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
561.340 * * [simplify]: iters left: 6 (45 enodes)
561.352 * * [simplify]: iters left: 5 (212 enodes)
561.396 * * [simplify]: Extracting #0: cost 1 inf + 0
561.396 * * [simplify]: Extracting #1: cost 3 inf + 0
561.397 * * [simplify]: Extracting #2: cost 6 inf + 0
561.397 * * [simplify]: Extracting #3: cost 55 inf + 0
561.397 * * [simplify]: Extracting #4: cost 117 inf + 0
561.397 * * [simplify]: Extracting #5: cost 155 inf + 85
561.398 * * [simplify]: Extracting #6: cost 217 inf + 1032
561.399 * * [simplify]: Extracting #7: cost 211 inf + 2538
561.401 * * [simplify]: Extracting #8: cost 161 inf + 9958
561.407 * * [simplify]: Extracting #9: cost 83 inf + 43194
561.423 * * [simplify]: Extracting #10: cost 10 inf + 86915
561.442 * * [simplify]: Extracting #11: cost 0 inf + 94750
561.461 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))))
561.461 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
561.462 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
561.462 * * [simplify]: iters left: 6 (19 enodes)
561.467 * * [simplify]: iters left: 5 (87 enodes)
561.485 * * [simplify]: iters left: 4 (239 enodes)
561.562 * * [simplify]: Extracting #0: cost 1 inf + 0
561.562 * * [simplify]: Extracting #1: cost 3 inf + 0
561.562 * * [simplify]: Extracting #2: cost 29 inf + 0
561.562 * * [simplify]: Extracting #3: cost 137 inf + 0
561.563 * * [simplify]: Extracting #4: cost 185 inf + 167
561.564 * * [simplify]: Extracting #5: cost 187 inf + 3984
561.568 * * [simplify]: Extracting #6: cost 130 inf + 20889
561.582 * * [simplify]: Extracting #7: cost 9 inf + 66617
561.598 * * [simplify]: Extracting #8: cost 0 inf + 64887
561.614 * * [simplify]: Extracting #9: cost 0 inf + 63967
561.630 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (+ phi1 phi2)) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))
561.630 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (+ phi1 phi2)) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))))
561.630 * * * * [progress]: [ 830 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
561.630 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
561.631 * * [simplify]: iters left: 6 (50 enodes)
561.646 * * [simplify]: iters left: 5 (240 enodes)
561.694 * * [simplify]: Extracting #0: cost 1 inf + 0
561.694 * * [simplify]: Extracting #1: cost 3 inf + 0
561.694 * * [simplify]: Extracting #2: cost 10 inf + 0
561.695 * * [simplify]: Extracting #3: cost 75 inf + 0
561.695 * * [simplify]: Extracting #4: cost 142 inf + 1
561.695 * * [simplify]: Extracting #5: cost 185 inf + 207
561.696 * * [simplify]: Extracting #6: cost 245 inf + 2363
561.698 * * [simplify]: Extracting #7: cost 210 inf + 9026
561.704 * * [simplify]: Extracting #8: cost 140 inf + 25955
561.711 * * [simplify]: Extracting #9: cost 81 inf + 50148
561.727 * * [simplify]: Extracting #10: cost 16 inf + 99757
561.749 * * [simplify]: Extracting #11: cost 1 inf + 113871
561.772 * * [simplify]: Extracting #12: cost 0 inf + 115536
561.794 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))))))))
561.795 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
561.795 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
561.795 * * [simplify]: iters left: 6 (22 enodes)
561.800 * * [simplify]: iters left: 5 (100 enodes)
561.819 * * [simplify]: iters left: 4 (256 enodes)
561.893 * * [simplify]: Extracting #0: cost 1 inf + 0
561.893 * * [simplify]: Extracting #1: cost 3 inf + 0
561.893 * * [simplify]: Extracting #2: cost 28 inf + 0
561.893 * * [simplify]: Extracting #3: cost 105 inf + 0
561.894 * * [simplify]: Extracting #4: cost 175 inf + 372
561.895 * * [simplify]: Extracting #5: cost 198 inf + 1068
561.899 * * [simplify]: Extracting #6: cost 126 inf + 22810
561.914 * * [simplify]: Extracting #7: cost 6 inf + 71989
561.932 * * [simplify]: Extracting #8: cost 0 inf + 68047
561.951 * * [simplify]: Extracting #9: cost 0 inf + 67367
561.968 * * [simplify]: Extracting #10: cost 0 inf + 67327
561.985 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))
561.985 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
561.986 * * * * [progress]: [ 831 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
561.986 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
561.986 * * [simplify]: iters left: 6 (45 enodes)
561.998 * * [simplify]: iters left: 5 (212 enodes)
562.041 * * [simplify]: Extracting #0: cost 1 inf + 0
562.042 * * [simplify]: Extracting #1: cost 3 inf + 0
562.042 * * [simplify]: Extracting #2: cost 10 inf + 0
562.042 * * [simplify]: Extracting #3: cost 67 inf + 0
562.042 * * [simplify]: Extracting #4: cost 123 inf + 2
562.042 * * [simplify]: Extracting #5: cost 152 inf + 698
562.043 * * [simplify]: Extracting #6: cost 211 inf + 2932
562.044 * * [simplify]: Extracting #7: cost 214 inf + 3302
562.046 * * [simplify]: Extracting #8: cost 177 inf + 8016
562.050 * * [simplify]: Extracting #9: cost 119 inf + 25465
562.059 * * [simplify]: Extracting #10: cost 35 inf + 64090
562.075 * * [simplify]: Extracting #11: cost 1 inf + 93990
562.093 * * [simplify]: Extracting #12: cost 0 inf + 95575
562.114 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))))
562.114 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
562.115 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
562.115 * * [simplify]: iters left: 6 (18 enodes)
562.119 * * [simplify]: iters left: 5 (82 enodes)
562.133 * * [simplify]: iters left: 4 (199 enodes)
562.182 * * [simplify]: iters left: 3 (493 enodes)
562.303 * * [simplify]: Extracting #0: cost 1 inf + 0
562.303 * * [simplify]: Extracting #1: cost 3 inf + 0
562.303 * * [simplify]: Extracting #2: cost 32 inf + 0
562.303 * * [simplify]: Extracting #3: cost 67 inf + 0
562.304 * * [simplify]: Extracting #4: cost 106 inf + 44
562.304 * * [simplify]: Extracting #5: cost 180 inf + 86
562.307 * * [simplify]: Extracting #6: cost 134 inf + 11266
562.316 * * [simplify]: Extracting #7: cost 27 inf + 43236
562.327 * * [simplify]: Extracting #8: cost 0 inf + 47746
562.338 * * [simplify]: Extracting #9: cost 0 inf + 46186
562.350 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
562.350 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))))) (sqrt (* (+ phi1 phi2) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))))
562.350 * * * * [progress]: [ 832 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
562.351 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
562.351 * * [simplify]: iters left: 6 (50 enodes)
562.364 * * [simplify]: iters left: 5 (240 enodes)
562.415 * * [simplify]: Extracting #0: cost 1 inf + 0
562.415 * * [simplify]: Extracting #1: cost 3 inf + 0
562.415 * * [simplify]: Extracting #2: cost 10 inf + 0
562.415 * * [simplify]: Extracting #3: cost 75 inf + 0
562.415 * * [simplify]: Extracting #4: cost 142 inf + 1
562.416 * * [simplify]: Extracting #5: cost 185 inf + 207
562.416 * * [simplify]: Extracting #6: cost 247 inf + 1799
562.418 * * [simplify]: Extracting #7: cost 216 inf + 7775
562.422 * * [simplify]: Extracting #8: cost 132 inf + 30738
562.436 * * [simplify]: Extracting #9: cost 31 inf + 90341
562.463 * * [simplify]: Extracting #10: cost 2 inf + 113707
562.486 * * [simplify]: Extracting #11: cost 0 inf + 114056
562.508 * * [simplify]: Extracting #12: cost 0 inf + 113776
562.529 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))
562.530 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
562.530 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
562.530 * * [simplify]: iters left: 6 (22 enodes)
562.535 * * [simplify]: iters left: 5 (100 enodes)
562.555 * * [simplify]: iters left: 4 (256 enodes)
562.628 * * [simplify]: Extracting #0: cost 1 inf + 0
562.628 * * [simplify]: Extracting #1: cost 3 inf + 0
562.628 * * [simplify]: Extracting #2: cost 28 inf + 0
562.629 * * [simplify]: Extracting #3: cost 105 inf + 0
562.629 * * [simplify]: Extracting #4: cost 175 inf + 372
562.630 * * [simplify]: Extracting #5: cost 198 inf + 1068
562.634 * * [simplify]: Extracting #6: cost 126 inf + 22810
562.649 * * [simplify]: Extracting #7: cost 6 inf + 71989
562.667 * * [simplify]: Extracting #8: cost 0 inf + 68047
562.684 * * [simplify]: Extracting #9: cost 0 inf + 67367
562.703 * * [simplify]: Extracting #10: cost 0 inf + 67327
562.720 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))
562.720 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
562.721 * * * * [progress]: [ 833 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
562.721 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
562.721 * * [simplify]: iters left: 6 (45 enodes)
562.733 * * [simplify]: iters left: 5 (212 enodes)
562.779 * * [simplify]: Extracting #0: cost 1 inf + 0
562.779 * * [simplify]: Extracting #1: cost 3 inf + 0
562.779 * * [simplify]: Extracting #2: cost 10 inf + 0
562.779 * * [simplify]: Extracting #3: cost 66 inf + 0
562.780 * * [simplify]: Extracting #4: cost 123 inf + 2
562.780 * * [simplify]: Extracting #5: cost 155 inf + 333
562.781 * * [simplify]: Extracting #6: cost 216 inf + 2082
562.782 * * [simplify]: Extracting #7: cost 212 inf + 3426
562.784 * * [simplify]: Extracting #8: cost 179 inf + 7692
562.787 * * [simplify]: Extracting #9: cost 122 inf + 24171
562.797 * * [simplify]: Extracting #10: cost 36 inf + 63725
562.813 * * [simplify]: Extracting #11: cost 1 inf + 94390
562.831 * * [simplify]: Extracting #12: cost 0 inf + 95975
562.849 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
562.850 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
562.850 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
562.850 * * [simplify]: iters left: 6 (18 enodes)
562.854 * * [simplify]: iters left: 5 (82 enodes)
562.870 * * [simplify]: iters left: 4 (199 enodes)
562.916 * * [simplify]: iters left: 3 (493 enodes)
563.038 * * [simplify]: Extracting #0: cost 1 inf + 0
563.038 * * [simplify]: Extracting #1: cost 3 inf + 0
563.038 * * [simplify]: Extracting #2: cost 32 inf + 0
563.038 * * [simplify]: Extracting #3: cost 67 inf + 0
563.038 * * [simplify]: Extracting #4: cost 106 inf + 44
563.039 * * [simplify]: Extracting #5: cost 180 inf + 86
563.041 * * [simplify]: Extracting #6: cost 134 inf + 11266
563.051 * * [simplify]: Extracting #7: cost 27 inf + 43236
563.063 * * [simplify]: Extracting #8: cost 0 inf + 47746
563.074 * * [simplify]: Extracting #9: cost 0 inf + 46186
563.086 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
563.087 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (+ phi1 phi2) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))))
563.087 * * * * [progress]: [ 834 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
563.087 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
563.088 * * [simplify]: iters left: 6 (51 enodes)
563.101 * * [simplify]: iters left: 5 (244 enodes)
563.153 * * [simplify]: Extracting #0: cost 1 inf + 0
563.153 * * [simplify]: Extracting #1: cost 3 inf + 0
563.153 * * [simplify]: Extracting #2: cost 6 inf + 0
563.153 * * [simplify]: Extracting #3: cost 56 inf + 0
563.153 * * [simplify]: Extracting #4: cost 130 inf + 0
563.154 * * [simplify]: Extracting #5: cost 207 inf + 0
563.154 * * [simplify]: Extracting #6: cost 268 inf + 2004
563.157 * * [simplify]: Extracting #7: cost 188 inf + 20488
563.163 * * [simplify]: Extracting #8: cost 115 inf + 45560
563.173 * * [simplify]: Extracting #9: cost 65 inf + 59572
563.185 * * [simplify]: Extracting #10: cost 32 inf + 82605
563.209 * * [simplify]: Extracting #11: cost 2 inf + 118795
563.233 * * [simplify]: Extracting #12: cost 0 inf + 121765
563.256 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))
563.256 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
563.257 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
563.257 * * [simplify]: iters left: 6 (24 enodes)
563.263 * * [simplify]: iters left: 5 (108 enodes)
563.285 * * [simplify]: iters left: 4 (322 enodes)
563.426 * * [simplify]: Extracting #0: cost 1 inf + 0
563.427 * * [simplify]: Extracting #1: cost 3 inf + 0
563.427 * * [simplify]: Extracting #2: cost 43 inf + 0
563.427 * * [simplify]: Extracting #3: cost 311 inf + 0
563.429 * * [simplify]: Extracting #4: cost 482 inf + 85
563.439 * * [simplify]: Extracting #5: cost 330 inf + 65210
563.482 * * [simplify]: Extracting #6: cost 25 inf + 204222
563.532 * * [simplify]: Extracting #7: cost 0 inf + 205228
563.578 * * [simplify]: Extracting #8: cost 0 inf + 204588
563.626 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))
563.626 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))))
563.626 * * * * [progress]: [ 835 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
563.627 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
563.627 * * [simplify]: iters left: 6 (52 enodes)
563.640 * * [simplify]: iters left: 5 (253 enodes)
563.695 * * [simplify]: Extracting #0: cost 1 inf + 0
563.695 * * [simplify]: Extracting #1: cost 3 inf + 0
563.696 * * [simplify]: Extracting #2: cost 6 inf + 0
563.696 * * [simplify]: Extracting #3: cost 60 inf + 0
563.696 * * [simplify]: Extracting #4: cost 153 inf + 0
563.697 * * [simplify]: Extracting #5: cost 221 inf + 44
563.698 * * [simplify]: Extracting #6: cost 246 inf + 6064
563.701 * * [simplify]: Extracting #7: cost 190 inf + 15024
563.708 * * [simplify]: Extracting #8: cost 136 inf + 35524
563.717 * * [simplify]: Extracting #9: cost 83 inf + 56952
563.728 * * [simplify]: Extracting #10: cost 52 inf + 69562
563.751 * * [simplify]: Extracting #11: cost 5 inf + 119177
563.775 * * [simplify]: Extracting #12: cost 1 inf + 123597
563.798 * * [simplify]: Extracting #13: cost 0 inf + 125702
563.823 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1)))))))
563.823 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
563.823 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
563.824 * * [simplify]: iters left: 6 (25 enodes)
563.829 * * [simplify]: iters left: 5 (112 enodes)
563.851 * * [simplify]: iters left: 4 (319 enodes)
563.979 * * [simplify]: Extracting #0: cost 1 inf + 0
563.979 * * [simplify]: Extracting #1: cost 3 inf + 0
563.979 * * [simplify]: Extracting #2: cost 69 inf + 0
563.980 * * [simplify]: Extracting #3: cost 328 inf + 0
563.981 * * [simplify]: Extracting #4: cost 430 inf + 290
563.992 * * [simplify]: Extracting #5: cost 264 inf + 71777
564.030 * * [simplify]: Extracting #6: cost 10 inf + 188032
564.073 * * [simplify]: Extracting #7: cost 0 inf + 185429
564.113 * * [simplify]: Extracting #8: cost 0 inf + 185269
564.153 * [simplify]: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))))
564.153 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))))))))
564.153 * * * * [progress]: [ 836 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
564.154 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
564.154 * * [simplify]: iters left: 6 (52 enodes)
564.168 * * [simplify]: iters left: 5 (253 enodes)
564.223 * * [simplify]: Extracting #0: cost 1 inf + 0
564.223 * * [simplify]: Extracting #1: cost 3 inf + 0
564.223 * * [simplify]: Extracting #2: cost 6 inf + 0
564.223 * * [simplify]: Extracting #3: cost 62 inf + 0
564.224 * * [simplify]: Extracting #4: cost 151 inf + 0
564.224 * * [simplify]: Extracting #5: cost 217 inf + 44
564.225 * * [simplify]: Extracting #6: cost 257 inf + 3315
564.228 * * [simplify]: Extracting #7: cost 190 inf + 14378
564.234 * * [simplify]: Extracting #8: cost 132 inf + 36929
564.242 * * [simplify]: Extracting #9: cost 92 inf + 53043
564.253 * * [simplify]: Extracting #10: cost 53 inf + 67649
564.272 * * [simplify]: Extracting #11: cost 7 inf + 113199
564.295 * * [simplify]: Extracting #12: cost 1 inf + 121189
564.324 * * [simplify]: Extracting #13: cost 0 inf + 123294
564.347 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1)))))))
564.347 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
564.348 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
564.348 * * [simplify]: iters left: 6 (25 enodes)
564.354 * * [simplify]: iters left: 5 (112 enodes)
564.374 * * [simplify]: iters left: 4 (317 enodes)
564.498 * * [simplify]: Extracting #0: cost 1 inf + 0
564.498 * * [simplify]: Extracting #1: cost 3 inf + 0
564.498 * * [simplify]: Extracting #2: cost 61 inf + 0
564.499 * * [simplify]: Extracting #3: cost 297 inf + 0
564.500 * * [simplify]: Extracting #4: cost 378 inf + 292
564.511 * * [simplify]: Extracting #5: cost 245 inf + 54828
564.542 * * [simplify]: Extracting #6: cost 12 inf + 158598
564.576 * * [simplify]: Extracting #7: cost 0 inf + 157437
564.610 * * [simplify]: Extracting #8: cost 0 inf + 157357
564.646 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2)))))
564.646 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))))))))
564.646 * * * * [progress]: [ 837 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
564.647 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
564.647 * * [simplify]: iters left: 6 (46 enodes)
564.659 * * [simplify]: iters left: 5 (217 enodes)
564.704 * * [simplify]: Extracting #0: cost 1 inf + 0
564.704 * * [simplify]: Extracting #1: cost 3 inf + 0
564.704 * * [simplify]: Extracting #2: cost 6 inf + 0
564.704 * * [simplify]: Extracting #3: cost 54 inf + 0
564.704 * * [simplify]: Extracting #4: cost 119 inf + 0
564.705 * * [simplify]: Extracting #5: cost 166 inf + 2
564.705 * * [simplify]: Extracting #6: cost 227 inf + 785
564.707 * * [simplify]: Extracting #7: cost 205 inf + 3643
564.710 * * [simplify]: Extracting #8: cost 148 inf + 20544
564.716 * * [simplify]: Extracting #9: cost 95 inf + 39630
564.726 * * [simplify]: Extracting #10: cost 45 inf + 56896
564.741 * * [simplify]: Extracting #11: cost 11 inf + 87678
564.763 * * [simplify]: Extracting #12: cost 0 inf + 100153
564.783 * * [simplify]: Extracting #13: cost 0 inf + 100113
564.804 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))))))
564.804 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
564.804 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))
564.804 * * [simplify]: iters left: 6 (20 enodes)
564.809 * * [simplify]: iters left: 5 (90 enodes)
564.826 * * [simplify]: iters left: 4 (247 enodes)
564.897 * * [simplify]: Extracting #0: cost 1 inf + 0
564.897 * * [simplify]: Extracting #1: cost 3 inf + 0
564.897 * * [simplify]: Extracting #2: cost 36 inf + 0
564.897 * * [simplify]: Extracting #3: cost 168 inf + 0
564.898 * * [simplify]: Extracting #4: cost 228 inf + 44
564.902 * * [simplify]: Extracting #5: cost 171 inf + 24069
564.917 * * [simplify]: Extracting #6: cost 28 inf + 77298
564.936 * * [simplify]: Extracting #7: cost 0 inf + 82943
564.955 * * [simplify]: Extracting #8: cost 0 inf + 81823
564.972 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))
564.972 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))))
564.973 * * * * [progress]: [ 838 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
564.973 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
564.973 * * [simplify]: iters left: 6 (51 enodes)
564.986 * * [simplify]: iters left: 5 (245 enodes)
565.038 * * [simplify]: Extracting #0: cost 1 inf + 0
565.038 * * [simplify]: Extracting #1: cost 3 inf + 0
565.038 * * [simplify]: Extracting #2: cost 10 inf + 0
565.038 * * [simplify]: Extracting #3: cost 74 inf + 0
565.038 * * [simplify]: Extracting #4: cost 137 inf + 1
565.039 * * [simplify]: Extracting #5: cost 186 inf + 249
565.040 * * [simplify]: Extracting #6: cost 236 inf + 2538
565.042 * * [simplify]: Extracting #7: cost 187 inf + 11655
565.047 * * [simplify]: Extracting #8: cost 116 inf + 35153
565.056 * * [simplify]: Extracting #9: cost 57 inf + 60179
565.075 * * [simplify]: Extracting #10: cost 18 inf + 95234
565.097 * * [simplify]: Extracting #11: cost 1 inf + 113219
565.120 * * [simplify]: Extracting #12: cost 0 inf + 114884
565.144 * * [simplify]: Extracting #13: cost 0 inf + 114844
565.167 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))
565.167 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
565.167 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
565.168 * * [simplify]: iters left: 6 (23 enodes)
565.174 * * [simplify]: iters left: 5 (103 enodes)
565.192 * * [simplify]: iters left: 4 (264 enodes)
565.268 * * [simplify]: Extracting #0: cost 1 inf + 0
565.268 * * [simplify]: Extracting #1: cost 3 inf + 0
565.268 * * [simplify]: Extracting #2: cost 33 inf + 0
565.269 * * [simplify]: Extracting #3: cost 142 inf + 0
565.269 * * [simplify]: Extracting #4: cost 219 inf + 371
565.274 * * [simplify]: Extracting #5: cost 173 inf + 25254
565.291 * * [simplify]: Extracting #6: cost 20 inf + 83311
565.313 * * [simplify]: Extracting #7: cost 0 inf + 87385
565.332 * * [simplify]: Extracting #8: cost 0 inf + 87025
565.352 * [simplify]: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))
565.352 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))
565.352 * * * * [progress]: [ 839 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
565.353 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
565.353 * * [simplify]: iters left: 6 (46 enodes)
565.365 * * [simplify]: iters left: 5 (217 enodes)
565.412 * * [simplify]: Extracting #0: cost 1 inf + 0
565.412 * * [simplify]: Extracting #1: cost 3 inf + 0
565.412 * * [simplify]: Extracting #2: cost 10 inf + 0
565.412 * * [simplify]: Extracting #3: cost 66 inf + 0
565.413 * * [simplify]: Extracting #4: cost 117 inf + 44
565.413 * * [simplify]: Extracting #5: cost 154 inf + 618
565.414 * * [simplify]: Extracting #6: cost 208 inf + 2855
565.415 * * [simplify]: Extracting #7: cost 187 inf + 6197
565.419 * * [simplify]: Extracting #8: cost 136 inf + 21765
565.425 * * [simplify]: Extracting #9: cost 83 inf + 41905
565.435 * * [simplify]: Extracting #10: cost 39 inf + 58841
565.451 * * [simplify]: Extracting #11: cost 8 inf + 89243
565.470 * * [simplify]: Extracting #12: cost 0 inf + 96963
565.492 * * [simplify]: Extracting #13: cost 0 inf + 96803
565.518 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
565.518 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
565.518 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
565.519 * * [simplify]: iters left: 6 (19 enodes)
565.523 * * [simplify]: iters left: 5 (85 enodes)
565.537 * * [simplify]: iters left: 4 (207 enodes)
565.586 * * [simplify]: Extracting #0: cost 1 inf + 0
565.586 * * [simplify]: Extracting #1: cost 3 inf + 0
565.586 * * [simplify]: Extracting #2: cost 23 inf + 0
565.586 * * [simplify]: Extracting #3: cost 69 inf + 0
565.587 * * [simplify]: Extracting #4: cost 112 inf + 44
565.587 * * [simplify]: Extracting #5: cost 128 inf + 1546
565.591 * * [simplify]: Extracting #6: cost 52 inf + 22843
565.600 * * [simplify]: Extracting #7: cost 1 inf + 39268
565.608 * * [simplify]: Extracting #8: cost 0 inf + 37950
565.617 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))))
565.617 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)))))))
565.618 * * * * [progress]: [ 840 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
565.618 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
565.618 * * [simplify]: iters left: 6 (51 enodes)
565.631 * * [simplify]: iters left: 5 (245 enodes)
565.683 * * [simplify]: Extracting #0: cost 1 inf + 0
565.683 * * [simplify]: Extracting #1: cost 3 inf + 0
565.683 * * [simplify]: Extracting #2: cost 10 inf + 0
565.683 * * [simplify]: Extracting #3: cost 74 inf + 0
565.684 * * [simplify]: Extracting #4: cost 137 inf + 1
565.684 * * [simplify]: Extracting #5: cost 187 inf + 207
565.685 * * [simplify]: Extracting #6: cost 239 inf + 2493
565.687 * * [simplify]: Extracting #7: cost 181 inf + 13346
565.693 * * [simplify]: Extracting #8: cost 115 inf + 36737
565.703 * * [simplify]: Extracting #9: cost 57 inf + 62019
565.721 * * [simplify]: Extracting #10: cost 18 inf + 96114
565.744 * * [simplify]: Extracting #11: cost 1 inf + 114099
565.768 * * [simplify]: Extracting #12: cost 0 inf + 115764
565.793 * * [simplify]: Extracting #13: cost 0 inf + 115724
565.816 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))
565.816 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
565.817 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
565.817 * * [simplify]: iters left: 6 (23 enodes)
565.823 * * [simplify]: iters left: 5 (103 enodes)
565.841 * * [simplify]: iters left: 4 (264 enodes)
565.915 * * [simplify]: Extracting #0: cost 1 inf + 0
565.916 * * [simplify]: Extracting #1: cost 3 inf + 0
565.916 * * [simplify]: Extracting #2: cost 33 inf + 0
565.916 * * [simplify]: Extracting #3: cost 142 inf + 0
565.917 * * [simplify]: Extracting #4: cost 219 inf + 371
565.921 * * [simplify]: Extracting #5: cost 173 inf + 25254
565.937 * * [simplify]: Extracting #6: cost 20 inf + 83311
565.960 * * [simplify]: Extracting #7: cost 0 inf + 87385
565.979 * * [simplify]: Extracting #8: cost 0 inf + 87025
565.998 * [simplify]: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))
565.998 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))
565.999 * * * * [progress]: [ 841 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
565.999 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
565.999 * * [simplify]: iters left: 6 (46 enodes)
566.011 * * [simplify]: iters left: 5 (217 enodes)
566.055 * * [simplify]: Extracting #0: cost 1 inf + 0
566.056 * * [simplify]: Extracting #1: cost 3 inf + 0
566.056 * * [simplify]: Extracting #2: cost 10 inf + 0
566.056 * * [simplify]: Extracting #3: cost 65 inf + 0
566.056 * * [simplify]: Extracting #4: cost 117 inf + 44
566.057 * * [simplify]: Extracting #5: cost 147 inf + 1472
566.057 * * [simplify]: Extracting #6: cost 207 inf + 3017
566.059 * * [simplify]: Extracting #7: cost 188 inf + 6155
566.062 * * [simplify]: Extracting #8: cost 135 inf + 21765
566.069 * * [simplify]: Extracting #9: cost 82 inf + 42829
566.079 * * [simplify]: Extracting #10: cost 39 inf + 59241
566.096 * * [simplify]: Extracting #11: cost 8 inf + 89643
566.115 * * [simplify]: Extracting #12: cost 0 inf + 97363
566.137 * * [simplify]: Extracting #13: cost 0 inf + 97203
566.156 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
566.157 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
566.157 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
566.157 * * [simplify]: iters left: 6 (19 enodes)
566.161 * * [simplify]: iters left: 5 (85 enodes)
566.176 * * [simplify]: iters left: 4 (207 enodes)
566.225 * * [simplify]: Extracting #0: cost 1 inf + 0
566.225 * * [simplify]: Extracting #1: cost 3 inf + 0
566.225 * * [simplify]: Extracting #2: cost 23 inf + 0
566.225 * * [simplify]: Extracting #3: cost 69 inf + 0
566.225 * * [simplify]: Extracting #4: cost 112 inf + 44
566.226 * * [simplify]: Extracting #5: cost 128 inf + 1546
566.230 * * [simplify]: Extracting #6: cost 52 inf + 22843
566.238 * * [simplify]: Extracting #7: cost 1 inf + 39268
566.248 * * [simplify]: Extracting #8: cost 0 inf + 37950
566.257 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))))
566.257 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)))))))
566.257 * * * * [progress]: [ 842 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
566.257 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
566.258 * * [simplify]: iters left: 6 (52 enodes)
566.271 * * [simplify]: iters left: 5 (254 enodes)
566.328 * * [simplify]: Extracting #0: cost 1 inf + 0
566.328 * * [simplify]: Extracting #1: cost 3 inf + 0
566.328 * * [simplify]: Extracting #2: cost 6 inf + 0
566.329 * * [simplify]: Extracting #3: cost 56 inf + 0
566.329 * * [simplify]: Extracting #4: cost 130 inf + 0
566.329 * * [simplify]: Extracting #5: cost 210 inf + 0
566.330 * * [simplify]: Extracting #6: cost 302 inf + 971
566.332 * * [simplify]: Extracting #7: cost 244 inf + 12350
566.337 * * [simplify]: Extracting #8: cost 158 inf + 34538
566.346 * * [simplify]: Extracting #9: cost 94 inf + 58117
566.362 * * [simplify]: Extracting #10: cost 49 inf + 76285
566.381 * * [simplify]: Extracting #11: cost 13 inf + 115305
566.407 * * [simplify]: Extracting #12: cost 1 inf + 130045
566.433 * * [simplify]: Extracting #13: cost 0 inf + 132110
566.459 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
566.459 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
566.460 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
566.460 * * [simplify]: iters left: 6 (25 enodes)
566.466 * * [simplify]: iters left: 5 (117 enodes)
566.489 * * [simplify]: iters left: 4 (379 enodes)
566.654 * * [simplify]: Extracting #0: cost 1 inf + 0
566.654 * * [simplify]: Extracting #1: cost 3 inf + 0
566.655 * * [simplify]: Extracting #2: cost 44 inf + 0
566.655 * * [simplify]: Extracting #3: cost 302 inf + 0
566.657 * * [simplify]: Extracting #4: cost 496 inf + 207
566.660 * * [simplify]: Extracting #5: cost 503 inf + 11349
566.682 * * [simplify]: Extracting #6: cost 237 inf + 114840
566.738 * * [simplify]: Extracting #7: cost 8 inf + 227085
566.796 * * [simplify]: Extracting #8: cost 0 inf + 229463
566.854 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))
566.854 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
566.855 * * * * [progress]: [ 843 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
566.855 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
566.855 * * [simplify]: iters left: 6 (53 enodes)
566.869 * * [simplify]: iters left: 5 (263 enodes)
566.927 * * [simplify]: Extracting #0: cost 1 inf + 0
566.927 * * [simplify]: Extracting #1: cost 3 inf + 0
566.927 * * [simplify]: Extracting #2: cost 6 inf + 0
566.927 * * [simplify]: Extracting #3: cost 60 inf + 0
566.928 * * [simplify]: Extracting #4: cost 153 inf + 0
566.928 * * [simplify]: Extracting #5: cost 224 inf + 44
566.930 * * [simplify]: Extracting #6: cost 282 inf + 4405
566.932 * * [simplify]: Extracting #7: cost 243 inf + 12495
566.938 * * [simplify]: Extracting #8: cost 149 inf + 38932
566.950 * * [simplify]: Extracting #9: cost 61 inf + 75268
566.972 * * [simplify]: Extracting #10: cost 8 inf + 127167
567.000 * * [simplify]: Extracting #11: cost 0 inf + 136607
567.028 * * [simplify]: Extracting #12: cost 0 inf + 136447
567.055 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
567.055 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
567.056 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
567.056 * * [simplify]: iters left: 6 (26 enodes)
567.062 * * [simplify]: iters left: 5 (121 enodes)
567.085 * * [simplify]: iters left: 4 (376 enodes)
567.241 * * [simplify]: Extracting #0: cost 1 inf + 0
567.241 * * [simplify]: Extracting #1: cost 3 inf + 0
567.241 * * [simplify]: Extracting #2: cost 68 inf + 0
567.242 * * [simplify]: Extracting #3: cost 321 inf + 0
567.243 * * [simplify]: Extracting #4: cost 445 inf + 370
567.247 * * [simplify]: Extracting #5: cost 455 inf + 12542
567.267 * * [simplify]: Extracting #6: cost 226 inf + 104738
567.315 * * [simplify]: Extracting #7: cost 15 inf + 201930
567.368 * * [simplify]: Extracting #8: cost 0 inf + 210420
567.420 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))
567.420 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))))
567.421 * * * * [progress]: [ 844 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
567.421 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
567.422 * * [simplify]: iters left: 6 (53 enodes)
567.435 * * [simplify]: iters left: 5 (263 enodes)
567.494 * * [simplify]: Extracting #0: cost 1 inf + 0
567.494 * * [simplify]: Extracting #1: cost 3 inf + 0
567.494 * * [simplify]: Extracting #2: cost 6 inf + 0
567.494 * * [simplify]: Extracting #3: cost 62 inf + 0
567.494 * * [simplify]: Extracting #4: cost 151 inf + 0
567.495 * * [simplify]: Extracting #5: cost 220 inf + 44
567.496 * * [simplify]: Extracting #6: cost 278 inf + 4163
567.499 * * [simplify]: Extracting #7: cost 228 inf + 16493
567.505 * * [simplify]: Extracting #8: cost 149 inf + 37121
567.517 * * [simplify]: Extracting #9: cost 62 inf + 71653
567.530 * * [simplify]: Extracting #10: cost 45 inf + 82914
567.554 * * [simplify]: Extracting #11: cost 8 inf + 121519
567.579 * * [simplify]: Extracting #12: cost 0 inf + 131479
567.604 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
567.605 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
567.605 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
567.606 * * [simplify]: iters left: 6 (26 enodes)
567.611 * * [simplify]: iters left: 5 (121 enodes)
567.637 * * [simplify]: iters left: 4 (374 enodes)
567.787 * * [simplify]: Extracting #0: cost 1 inf + 0
567.787 * * [simplify]: Extracting #1: cost 3 inf + 0
567.787 * * [simplify]: Extracting #2: cost 62 inf + 0
567.788 * * [simplify]: Extracting #3: cost 306 inf + 0
567.789 * * [simplify]: Extracting #4: cost 416 inf + 126
567.792 * * [simplify]: Extracting #5: cost 428 inf + 8447
567.805 * * [simplify]: Extracting #6: cost 251 inf + 73298
567.847 * * [simplify]: Extracting #7: cost 17 inf + 182367
567.893 * * [simplify]: Extracting #8: cost 0 inf + 190744
567.941 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
567.941 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
567.942 * * * * [progress]: [ 845 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
567.942 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
567.942 * * [simplify]: iters left: 6 (47 enodes)
567.955 * * [simplify]: iters left: 5 (227 enodes)
568.004 * * [simplify]: Extracting #0: cost 1 inf + 0
568.004 * * [simplify]: Extracting #1: cost 3 inf + 0
568.004 * * [simplify]: Extracting #2: cost 6 inf + 0
568.004 * * [simplify]: Extracting #3: cost 54 inf + 0
568.005 * * [simplify]: Extracting #4: cost 119 inf + 0
568.005 * * [simplify]: Extracting #5: cost 168 inf + 44
568.006 * * [simplify]: Extracting #6: cost 247 inf + 1277
568.007 * * [simplify]: Extracting #7: cost 229 inf + 5100
568.011 * * [simplify]: Extracting #8: cost 145 inf + 23610
568.018 * * [simplify]: Extracting #9: cost 80 inf + 45715
568.030 * * [simplify]: Extracting #10: cost 32 inf + 74377
568.048 * * [simplify]: Extracting #11: cost 4 inf + 102598
568.069 * * [simplify]: Extracting #12: cost 1 inf + 107433
568.092 * * [simplify]: Extracting #13: cost 0 inf + 109298
568.113 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))))
568.113 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
568.113 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))
568.114 * * [simplify]: iters left: 6 (21 enodes)
568.118 * * [simplify]: iters left: 5 (99 enodes)
568.137 * * [simplify]: iters left: 4 (304 enodes)
568.235 * * [simplify]: Extracting #0: cost 1 inf + 0
568.235 * * [simplify]: Extracting #1: cost 3 inf + 0
568.235 * * [simplify]: Extracting #2: cost 35 inf + 0
568.236 * * [simplify]: Extracting #3: cost 156 inf + 0
568.237 * * [simplify]: Extracting #4: cost 240 inf + 2
568.238 * * [simplify]: Extracting #5: cost 298 inf + 1316
568.243 * * [simplify]: Extracting #6: cost 189 inf + 28949
568.265 * * [simplify]: Extracting #7: cost 14 inf + 91199
568.291 * * [simplify]: Extracting #8: cost 0 inf + 97322
568.317 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
568.317 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
568.318 * * * * [progress]: [ 846 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
568.318 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
568.318 * * [simplify]: iters left: 6 (52 enodes)
568.332 * * [simplify]: iters left: 5 (255 enodes)
568.387 * * [simplify]: Extracting #0: cost 1 inf + 0
568.387 * * [simplify]: Extracting #1: cost 3 inf + 0
568.387 * * [simplify]: Extracting #2: cost 10 inf + 0
568.387 * * [simplify]: Extracting #3: cost 74 inf + 0
568.387 * * [simplify]: Extracting #4: cost 137 inf + 1
568.388 * * [simplify]: Extracting #5: cost 189 inf + 248
568.389 * * [simplify]: Extracting #6: cost 270 inf + 1685
568.391 * * [simplify]: Extracting #7: cost 231 inf + 10462
568.394 * * [simplify]: Extracting #8: cost 178 inf + 20426
568.399 * * [simplify]: Extracting #9: cost 129 inf + 34496
568.409 * * [simplify]: Extracting #10: cost 66 inf + 62469
568.427 * * [simplify]: Extracting #11: cost 15 inf + 108534
568.451 * * [simplify]: Extracting #12: cost 1 inf + 123604
568.477 * * [simplify]: Extracting #13: cost 0 inf + 125669
568.502 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))
568.502 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
568.503 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
568.503 * * [simplify]: iters left: 6 (24 enodes)
568.509 * * [simplify]: iters left: 5 (112 enodes)
568.530 * * [simplify]: iters left: 4 (321 enodes)
568.635 * * [simplify]: Extracting #0: cost 1 inf + 0
568.635 * * [simplify]: Extracting #1: cost 3 inf + 0
568.635 * * [simplify]: Extracting #2: cost 33 inf + 0
568.636 * * [simplify]: Extracting #3: cost 144 inf + 0
568.637 * * [simplify]: Extracting #4: cost 245 inf + 412
568.638 * * [simplify]: Extracting #5: cost 297 inf + 3064
568.643 * * [simplify]: Extracting #6: cost 211 inf + 26171
568.662 * * [simplify]: Extracting #7: cost 28 inf + 96817
568.693 * * [simplify]: Extracting #8: cost 0 inf + 109746
568.721 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))
568.721 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))))
568.722 * * * * [progress]: [ 847 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
568.722 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
568.722 * * [simplify]: iters left: 6 (47 enodes)
568.734 * * [simplify]: iters left: 5 (227 enodes)
568.781 * * [simplify]: Extracting #0: cost 1 inf + 0
568.782 * * [simplify]: Extracting #1: cost 3 inf + 0
568.782 * * [simplify]: Extracting #2: cost 10 inf + 0
568.782 * * [simplify]: Extracting #3: cost 66 inf + 0
568.782 * * [simplify]: Extracting #4: cost 117 inf + 44
568.782 * * [simplify]: Extracting #5: cost 153 inf + 1186
568.783 * * [simplify]: Extracting #6: cost 235 inf + 2974
568.785 * * [simplify]: Extracting #7: cost 221 inf + 5991
568.789 * * [simplify]: Extracting #8: cost 127 inf + 26820
568.798 * * [simplify]: Extracting #9: cost 56 inf + 56545
568.813 * * [simplify]: Extracting #10: cost 11 inf + 91073
568.833 * * [simplify]: Extracting #11: cost 1 inf + 102563
568.854 * * [simplify]: Extracting #12: cost 0 inf + 104348
568.877 * * [simplify]: Extracting #13: cost 0 inf + 104268
568.899 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))))
568.900 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
568.901 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
568.901 * * [simplify]: iters left: 6 (20 enodes)
568.905 * * [simplify]: iters left: 5 (94 enodes)
568.923 * * [simplify]: iters left: 4 (264 enodes)
568.995 * * [simplify]: Extracting #0: cost 1 inf + 0
568.995 * * [simplify]: Extracting #1: cost 3 inf + 0
568.995 * * [simplify]: Extracting #2: cost 23 inf + 0
568.996 * * [simplify]: Extracting #3: cost 70 inf + 0
568.996 * * [simplify]: Extracting #4: cost 137 inf + 2
568.997 * * [simplify]: Extracting #5: cost 207 inf + 88
569.002 * * [simplify]: Extracting #6: cost 144 inf + 14245
569.014 * * [simplify]: Extracting #7: cost 11 inf + 51550
569.028 * * [simplify]: Extracting #8: cost 0 inf + 55739
569.043 * [simplify]: Simplified to (sqrt (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))
569.043 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))))
569.044 * * * * [progress]: [ 848 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
569.045 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
569.045 * * [simplify]: iters left: 6 (52 enodes)
569.059 * * [simplify]: iters left: 5 (255 enodes)
569.114 * * [simplify]: Extracting #0: cost 1 inf + 0
569.114 * * [simplify]: Extracting #1: cost 3 inf + 0
569.114 * * [simplify]: Extracting #2: cost 10 inf + 0
569.114 * * [simplify]: Extracting #3: cost 74 inf + 0
569.115 * * [simplify]: Extracting #4: cost 137 inf + 1
569.115 * * [simplify]: Extracting #5: cost 189 inf + 248
569.116 * * [simplify]: Extracting #6: cost 272 inf + 1442
569.118 * * [simplify]: Extracting #7: cost 231 inf + 10502
569.121 * * [simplify]: Extracting #8: cost 178 inf + 20858
569.126 * * [simplify]: Extracting #9: cost 129 inf + 34616
569.136 * * [simplify]: Extracting #10: cost 65 inf + 63694
569.155 * * [simplify]: Extracting #11: cost 15 inf + 109494
569.181 * * [simplify]: Extracting #12: cost 1 inf + 124564
569.207 * * [simplify]: Extracting #13: cost 0 inf + 126629
569.232 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))
569.232 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
569.232 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
569.233 * * [simplify]: iters left: 6 (24 enodes)
569.238 * * [simplify]: iters left: 5 (112 enodes)
569.261 * * [simplify]: iters left: 4 (321 enodes)
569.366 * * [simplify]: Extracting #0: cost 1 inf + 0
569.366 * * [simplify]: Extracting #1: cost 3 inf + 0
569.366 * * [simplify]: Extracting #2: cost 33 inf + 0
569.366 * * [simplify]: Extracting #3: cost 144 inf + 0
569.367 * * [simplify]: Extracting #4: cost 245 inf + 412
569.369 * * [simplify]: Extracting #5: cost 297 inf + 3064
569.374 * * [simplify]: Extracting #6: cost 211 inf + 26171
569.403 * * [simplify]: Extracting #7: cost 28 inf + 96817
569.432 * * [simplify]: Extracting #8: cost 0 inf + 109746
569.460 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))
569.460 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))))
569.460 * * * * [progress]: [ 849 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
569.461 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
569.461 * * [simplify]: iters left: 6 (47 enodes)
569.473 * * [simplify]: iters left: 5 (227 enodes)
569.520 * * [simplify]: Extracting #0: cost 1 inf + 0
569.520 * * [simplify]: Extracting #1: cost 3 inf + 0
569.520 * * [simplify]: Extracting #2: cost 10 inf + 0
569.520 * * [simplify]: Extracting #3: cost 65 inf + 0
569.520 * * [simplify]: Extracting #4: cost 117 inf + 44
569.520 * * [simplify]: Extracting #5: cost 157 inf + 618
569.521 * * [simplify]: Extracting #6: cost 236 inf + 2772
569.523 * * [simplify]: Extracting #7: cost 219 inf + 6074
569.527 * * [simplify]: Extracting #8: cost 130 inf + 26091
569.536 * * [simplify]: Extracting #9: cost 56 inf + 57166
569.551 * * [simplify]: Extracting #10: cost 11 inf + 91633
569.573 * * [simplify]: Extracting #11: cost 1 inf + 103123
569.594 * * [simplify]: Extracting #12: cost 0 inf + 104908
569.615 * * [simplify]: Extracting #13: cost 0 inf + 104828
569.636 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))))
569.636 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
569.637 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
569.637 * * [simplify]: iters left: 6 (20 enodes)
569.642 * * [simplify]: iters left: 5 (94 enodes)
569.661 * * [simplify]: iters left: 4 (264 enodes)
569.737 * * [simplify]: Extracting #0: cost 1 inf + 0
569.737 * * [simplify]: Extracting #1: cost 3 inf + 0
569.737 * * [simplify]: Extracting #2: cost 23 inf + 0
569.737 * * [simplify]: Extracting #3: cost 70 inf + 0
569.738 * * [simplify]: Extracting #4: cost 137 inf + 2
569.739 * * [simplify]: Extracting #5: cost 207 inf + 88
569.741 * * [simplify]: Extracting #6: cost 144 inf + 14245
569.753 * * [simplify]: Extracting #7: cost 11 inf + 51550
569.768 * * [simplify]: Extracting #8: cost 0 inf + 55739
569.783 * [simplify]: Simplified to (sqrt (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))
569.783 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))))
569.783 * * * * [progress]: [ 850 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
569.784 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
569.784 * * [simplify]: iters left: 6 (48 enodes)
569.798 * * [simplify]: iters left: 5 (226 enodes)
569.844 * * [simplify]: Extracting #0: cost 1 inf + 0
569.844 * * [simplify]: Extracting #1: cost 3 inf + 0
569.844 * * [simplify]: Extracting #2: cost 6 inf + 0
569.844 * * [simplify]: Extracting #3: cost 48 inf + 0
569.844 * * [simplify]: Extracting #4: cost 112 inf + 0
569.845 * * [simplify]: Extracting #5: cost 180 inf + 0
569.845 * * [simplify]: Extracting #6: cost 245 inf + 799
569.847 * * [simplify]: Extracting #7: cost 207 inf + 6775
569.850 * * [simplify]: Extracting #8: cost 117 inf + 26074
569.858 * * [simplify]: Extracting #9: cost 51 inf + 53171
569.877 * * [simplify]: Extracting #10: cost 4 inf + 101576
569.897 * * [simplify]: Extracting #11: cost 0 inf + 105956
569.917 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))
569.917 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
569.918 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
569.918 * * [simplify]: iters left: 6 (23 enodes)
569.923 * * [simplify]: iters left: 5 (104 enodes)
569.942 * * [simplify]: iters left: 4 (307 enodes)
570.070 * * [simplify]: Extracting #0: cost 1 inf + 0
570.070 * * [simplify]: Extracting #1: cost 3 inf + 0
570.070 * * [simplify]: Extracting #2: cost 37 inf + 0
570.071 * * [simplify]: Extracting #3: cost 262 inf + 0
570.075 * * [simplify]: Extracting #4: cost 426 inf + 84
570.077 * * [simplify]: Extracting #5: cost 398 inf + 8324
570.091 * * [simplify]: Extracting #6: cost 199 inf + 78248
570.126 * * [simplify]: Extracting #7: cost 15 inf + 167671
570.168 * * [simplify]: Extracting #8: cost 0 inf + 176365
570.210 * [simplify]: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))
570.210 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ lambda2 lambda1))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))))
570.211 * * * * [progress]: [ 851 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
570.211 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
570.211 * * [simplify]: iters left: 6 (49 enodes)
570.224 * * [simplify]: iters left: 5 (235 enodes)
570.274 * * [simplify]: Extracting #0: cost 1 inf + 0
570.274 * * [simplify]: Extracting #1: cost 3 inf + 0
570.274 * * [simplify]: Extracting #2: cost 6 inf + 0
570.275 * * [simplify]: Extracting #3: cost 52 inf + 0
570.275 * * [simplify]: Extracting #4: cost 135 inf + 0
570.275 * * [simplify]: Extracting #5: cost 193 inf + 85
570.276 * * [simplify]: Extracting #6: cost 228 inf + 3797
570.279 * * [simplify]: Extracting #7: cost 181 inf + 13607
570.283 * * [simplify]: Extracting #8: cost 118 inf + 28752
570.291 * * [simplify]: Extracting #9: cost 57 inf + 52702
570.308 * * [simplify]: Extracting #10: cost 12 inf + 93934
570.331 * * [simplify]: Extracting #11: cost 0 inf + 107173
570.352 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ phi2 phi1) (- phi1 phi2))))))
570.353 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ phi2 phi1) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
570.353 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
570.353 * * [simplify]: iters left: 6 (24 enodes)
570.360 * * [simplify]: iters left: 5 (107 enodes)
570.380 * * [simplify]: iters left: 4 (303 enodes)
570.496 * * [simplify]: Extracting #0: cost 1 inf + 0
570.496 * * [simplify]: Extracting #1: cost 3 inf + 0
570.496 * * [simplify]: Extracting #2: cost 66 inf + 0
570.496 * * [simplify]: Extracting #3: cost 279 inf + 0
570.498 * * [simplify]: Extracting #4: cost 366 inf + 494
570.501 * * [simplify]: Extracting #5: cost 337 inf + 9587
570.515 * * [simplify]: Extracting #6: cost 167 inf + 77034
570.550 * * [simplify]: Extracting #7: cost 9 inf + 153112
570.586 * * [simplify]: Extracting #8: cost 0 inf + 157625
570.621 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))))
570.622 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2))) (* (+ phi2 phi1) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)))))))
570.622 * * * * [progress]: [ 852 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
570.622 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
570.623 * * [simplify]: iters left: 6 (49 enodes)
570.636 * * [simplify]: iters left: 5 (235 enodes)
570.687 * * [simplify]: Extracting #0: cost 1 inf + 0
570.687 * * [simplify]: Extracting #1: cost 3 inf + 0
570.687 * * [simplify]: Extracting #2: cost 6 inf + 0
570.687 * * [simplify]: Extracting #3: cost 54 inf + 0
570.687 * * [simplify]: Extracting #4: cost 133 inf + 0
570.688 * * [simplify]: Extracting #5: cost 188 inf + 166
570.689 * * [simplify]: Extracting #6: cost 219 inf + 4886
570.692 * * [simplify]: Extracting #7: cost 181 inf + 13899
570.698 * * [simplify]: Extracting #8: cost 122 inf + 24720
570.704 * * [simplify]: Extracting #9: cost 78 inf + 40497
570.718 * * [simplify]: Extracting #10: cost 24 inf + 84402
570.737 * * [simplify]: Extracting #11: cost 1 inf + 104361
570.757 * * [simplify]: Extracting #12: cost 0 inf + 105125
570.777 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))))
570.777 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
570.778 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
570.778 * * [simplify]: iters left: 6 (24 enodes)
570.783 * * [simplify]: iters left: 5 (107 enodes)
570.804 * * [simplify]: iters left: 4 (301 enodes)
570.918 * * [simplify]: Extracting #0: cost 1 inf + 0
570.918 * * [simplify]: Extracting #1: cost 3 inf + 0
570.918 * * [simplify]: Extracting #2: cost 56 inf + 0
570.918 * * [simplify]: Extracting #3: cost 254 inf + 0
570.920 * * [simplify]: Extracting #4: cost 325 inf + 617
570.922 * * [simplify]: Extracting #5: cost 288 inf + 10757
570.932 * * [simplify]: Extracting #6: cost 186 inf + 49340
570.957 * * [simplify]: Extracting #7: cost 27 inf + 122903
570.992 * * [simplify]: Extracting #8: cost 0 inf + 135238
571.024 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))
571.024 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))))
571.025 * * * * [progress]: [ 853 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
571.025 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
571.025 * * [simplify]: iters left: 6 (43 enodes)
571.036 * * [simplify]: iters left: 5 (198 enodes)
571.077 * * [simplify]: Extracting #0: cost 1 inf + 0
571.077 * * [simplify]: Extracting #1: cost 3 inf + 0
571.077 * * [simplify]: Extracting #2: cost 6 inf + 0
571.078 * * [simplify]: Extracting #3: cost 46 inf + 0
571.078 * * [simplify]: Extracting #4: cost 101 inf + 0
571.078 * * [simplify]: Extracting #5: cost 137 inf + 126
571.079 * * [simplify]: Extracting #6: cost 193 inf + 1153
571.080 * * [simplify]: Extracting #7: cost 174 inf + 4655
571.082 * * [simplify]: Extracting #8: cost 125 inf + 15402
571.088 * * [simplify]: Extracting #9: cost 78 inf + 35011
571.097 * * [simplify]: Extracting #10: cost 29 inf + 53992
571.110 * * [simplify]: Extracting #11: cost 7 inf + 73409
571.125 * * [simplify]: Extracting #12: cost 0 inf + 82064
571.141 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))
571.141 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
571.142 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))
571.142 * * [simplify]: iters left: 6 (19 enodes)
571.147 * * [simplify]: iters left: 5 (86 enodes)
571.164 * * [simplify]: iters left: 4 (232 enodes)
571.229 * * [simplify]: Extracting #0: cost 1 inf + 0
571.229 * * [simplify]: Extracting #1: cost 3 inf + 0
571.229 * * [simplify]: Extracting #2: cost 28 inf + 0
571.229 * * [simplify]: Extracting #3: cost 134 inf + 0
571.230 * * [simplify]: Extracting #4: cost 182 inf + 250
571.231 * * [simplify]: Extracting #5: cost 177 inf + 4764
571.234 * * [simplify]: Extracting #6: cost 121 inf + 20050
571.247 * * [simplify]: Extracting #7: cost 15 inf + 59534
571.262 * * [simplify]: Extracting #8: cost 0 inf + 64499
571.277 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ phi1 phi2)))))
571.278 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ phi1 phi2))))))))
571.278 * * * * [progress]: [ 854 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
571.279 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
571.279 * * [simplify]: iters left: 6 (48 enodes)
571.293 * * [simplify]: iters left: 5 (226 enodes)
571.341 * * [simplify]: Extracting #0: cost 1 inf + 0
571.341 * * [simplify]: Extracting #1: cost 3 inf + 0
571.341 * * [simplify]: Extracting #2: cost 10 inf + 0
571.341 * * [simplify]: Extracting #3: cost 62 inf + 0
571.341 * * [simplify]: Extracting #4: cost 115 inf + 42
571.342 * * [simplify]: Extracting #5: cost 157 inf + 207
571.342 * * [simplify]: Extracting #6: cost 209 inf + 2448
571.344 * * [simplify]: Extracting #7: cost 179 inf + 8422
571.347 * * [simplify]: Extracting #8: cost 129 inf + 19046
571.352 * * [simplify]: Extracting #9: cost 84 inf + 34525
571.361 * * [simplify]: Extracting #10: cost 36 inf + 58620
571.378 * * [simplify]: Extracting #11: cost 6 inf + 87490
571.396 * * [simplify]: Extracting #12: cost 0 inf + 94640
571.415 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
571.415 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
571.416 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
571.416 * * [simplify]: iters left: 6 (22 enodes)
571.421 * * [simplify]: iters left: 5 (99 enodes)
571.438 * * [simplify]: iters left: 4 (243 enodes)
571.503 * * [simplify]: Extracting #0: cost 1 inf + 0
571.503 * * [simplify]: Extracting #1: cost 3 inf + 0
571.503 * * [simplify]: Extracting #2: cost 27 inf + 0
571.503 * * [simplify]: Extracting #3: cost 108 inf + 0
571.504 * * [simplify]: Extracting #4: cost 171 inf + 206
571.505 * * [simplify]: Extracting #5: cost 189 inf + 946
571.508 * * [simplify]: Extracting #6: cost 123 inf + 20335
571.523 * * [simplify]: Extracting #7: cost 5 inf + 63298
571.539 * * [simplify]: Extracting #8: cost 0 inf + 65395
571.555 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))
571.555 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
571.556 * * * * [progress]: [ 855 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
571.556 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
571.557 * * [simplify]: iters left: 6 (43 enodes)
571.568 * * [simplify]: iters left: 5 (198 enodes)
571.609 * * [simplify]: Extracting #0: cost 1 inf + 0
571.610 * * [simplify]: Extracting #1: cost 3 inf + 0
571.610 * * [simplify]: Extracting #2: cost 10 inf + 0
571.610 * * [simplify]: Extracting #3: cost 54 inf + 0
571.610 * * [simplify]: Extracting #4: cost 96 inf + 44
571.610 * * [simplify]: Extracting #5: cost 123 inf + 861
571.611 * * [simplify]: Extracting #6: cost 175 inf + 2934
571.612 * * [simplify]: Extracting #7: cost 170 inf + 4653
571.615 * * [simplify]: Extracting #8: cost 103 inf + 19068
571.621 * * [simplify]: Extracting #9: cost 47 inf + 42231
571.633 * * [simplify]: Extracting #10: cost 9 inf + 68952
571.648 * * [simplify]: Extracting #11: cost 0 inf + 77079
571.662 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))
571.662 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
571.663 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))
571.663 * * [simplify]: iters left: 6 (18 enodes)
571.667 * * [simplify]: iters left: 5 (81 enodes)
571.680 * * [simplify]: iters left: 4 (186 enodes)
571.724 * * [simplify]: iters left: 3 (471 enodes)
571.845 * * [simplify]: Extracting #0: cost 1 inf + 0
571.845 * * [simplify]: Extracting #1: cost 3 inf + 0
571.845 * * [simplify]: Extracting #2: cost 36 inf + 0
571.845 * * [simplify]: Extracting #3: cost 71 inf + 0
571.846 * * [simplify]: Extracting #4: cost 107 inf + 44
571.846 * * [simplify]: Extracting #5: cost 176 inf + 130
571.848 * * [simplify]: Extracting #6: cost 147 inf + 5405
571.854 * * [simplify]: Extracting #7: cost 63 inf + 27457
571.868 * * [simplify]: Extracting #8: cost 2 inf + 48035
571.880 * * [simplify]: Extracting #9: cost 0 inf + 49003
571.893 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
571.893 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ phi1 phi2) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
571.894 * * * * [progress]: [ 856 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
571.894 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
571.894 * * [simplify]: iters left: 6 (48 enodes)
571.908 * * [simplify]: iters left: 5 (226 enodes)
571.955 * * [simplify]: Extracting #0: cost 1 inf + 0
571.955 * * [simplify]: Extracting #1: cost 3 inf + 0
571.955 * * [simplify]: Extracting #2: cost 10 inf + 0
571.955 * * [simplify]: Extracting #3: cost 62 inf + 0
571.955 * * [simplify]: Extracting #4: cost 115 inf + 42
571.956 * * [simplify]: Extracting #5: cost 155 inf + 290
571.957 * * [simplify]: Extracting #6: cost 201 inf + 4061
571.958 * * [simplify]: Extracting #7: cost 178 inf + 8653
571.961 * * [simplify]: Extracting #8: cost 128 inf + 19258
571.966 * * [simplify]: Extracting #9: cost 86 inf + 33916
571.975 * * [simplify]: Extracting #10: cost 35 inf + 60325
571.990 * * [simplify]: Extracting #11: cost 6 inf + 88290
572.008 * * [simplify]: Extracting #12: cost 0 inf + 95440
572.028 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
572.028 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
572.028 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
572.029 * * [simplify]: iters left: 6 (22 enodes)
572.035 * * [simplify]: iters left: 5 (99 enodes)
572.052 * * [simplify]: iters left: 4 (243 enodes)
572.119 * * [simplify]: Extracting #0: cost 1 inf + 0
572.119 * * [simplify]: Extracting #1: cost 3 inf + 0
572.119 * * [simplify]: Extracting #2: cost 27 inf + 0
572.119 * * [simplify]: Extracting #3: cost 108 inf + 0
572.119 * * [simplify]: Extracting #4: cost 171 inf + 206
572.120 * * [simplify]: Extracting #5: cost 189 inf + 946
572.123 * * [simplify]: Extracting #6: cost 123 inf + 20335
572.137 * * [simplify]: Extracting #7: cost 5 inf + 63298
572.153 * * [simplify]: Extracting #8: cost 0 inf + 65395
572.169 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))
572.169 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
572.170 * * * * [progress]: [ 857 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
572.170 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
572.171 * * [simplify]: iters left: 6 (43 enodes)
572.184 * * [simplify]: iters left: 5 (198 enodes)
572.223 * * [simplify]: Extracting #0: cost 1 inf + 0
572.223 * * [simplify]: Extracting #1: cost 3 inf + 0
572.223 * * [simplify]: Extracting #2: cost 10 inf + 0
572.224 * * [simplify]: Extracting #3: cost 53 inf + 0
572.224 * * [simplify]: Extracting #4: cost 96 inf + 44
572.224 * * [simplify]: Extracting #5: cost 123 inf + 901
572.225 * * [simplify]: Extracting #6: cost 175 inf + 2974
572.226 * * [simplify]: Extracting #7: cost 170 inf + 4653
572.229 * * [simplify]: Extracting #8: cost 92 inf + 23919
572.236 * * [simplify]: Extracting #9: cost 41 inf + 45179
572.251 * * [simplify]: Extracting #10: cost 6 inf + 72715
572.265 * * [simplify]: Extracting #11: cost 0 inf + 78999
572.280 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))
572.280 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (+ phi2 phi1)) (* (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
572.280 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))
572.281 * * [simplify]: iters left: 6 (18 enodes)
572.285 * * [simplify]: iters left: 5 (81 enodes)
572.298 * * [simplify]: iters left: 4 (186 enodes)
572.341 * * [simplify]: iters left: 3 (471 enodes)
572.463 * * [simplify]: Extracting #0: cost 1 inf + 0
572.463 * * [simplify]: Extracting #1: cost 3 inf + 0
572.463 * * [simplify]: Extracting #2: cost 36 inf + 0
572.463 * * [simplify]: Extracting #3: cost 71 inf + 0
572.463 * * [simplify]: Extracting #4: cost 107 inf + 44
572.464 * * [simplify]: Extracting #5: cost 176 inf + 130
572.466 * * [simplify]: Extracting #6: cost 147 inf + 5405
572.471 * * [simplify]: Extracting #7: cost 63 inf + 27457
572.483 * * [simplify]: Extracting #8: cost 2 inf + 48035
572.496 * * [simplify]: Extracting #9: cost 0 inf + 49003
572.509 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
572.510 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (+ phi1 phi2) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
572.510 * * * * [progress]: [ 858 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
572.510 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
572.511 * * [simplify]: iters left: 6 (52 enodes)
572.528 * * [simplify]: iters left: 5 (249 enodes)
572.579 * * [simplify]: Extracting #0: cost 1 inf + 0
572.579 * * [simplify]: Extracting #1: cost 3 inf + 0
572.579 * * [simplify]: Extracting #2: cost 6 inf + 0
572.579 * * [simplify]: Extracting #3: cost 53 inf + 0
572.579 * * [simplify]: Extracting #4: cost 118 inf + 0
572.579 * * [simplify]: Extracting #5: cost 183 inf + 0
572.580 * * [simplify]: Extracting #6: cost 263 inf + 131
572.581 * * [simplify]: Extracting #7: cost 227 inf + 5804
572.588 * * [simplify]: Extracting #8: cost 139 inf + 25639
572.595 * * [simplify]: Extracting #9: cost 86 inf + 44608
572.605 * * [simplify]: Extracting #10: cost 49 inf + 59423
572.622 * * [simplify]: Extracting #11: cost 6 inf + 101898
572.642 * * [simplify]: Extracting #12: cost 1 inf + 107823
572.663 * * [simplify]: Extracting #13: cost 0 inf + 109648
572.685 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))))
572.685 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
572.686 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
572.686 * * [simplify]: iters left: 6 (25 enodes)
572.692 * * [simplify]: iters left: 5 (116 enodes)
572.713 * * [simplify]: iters left: 4 (345 enodes)
572.860 * * [simplify]: Extracting #0: cost 1 inf + 0
572.860 * * [simplify]: Extracting #1: cost 3 inf + 0
572.860 * * [simplify]: Extracting #2: cost 38 inf + 0
572.860 * * [simplify]: Extracting #3: cost 261 inf + 0
572.862 * * [simplify]: Extracting #4: cost 422 inf + 978
572.869 * * [simplify]: Extracting #5: cost 357 inf + 16940
572.887 * * [simplify]: Extracting #6: cost 163 inf + 95701
572.926 * * [simplify]: Extracting #7: cost 8 inf + 169860
572.968 * * [simplify]: Extracting #8: cost 0 inf + 174047
573.010 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))
573.010 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))))
573.011 * * * * [progress]: [ 859 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
573.011 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
573.011 * * [simplify]: iters left: 6 (53 enodes)
573.025 * * [simplify]: iters left: 5 (258 enodes)
573.079 * * [simplify]: Extracting #0: cost 1 inf + 0
573.079 * * [simplify]: Extracting #1: cost 3 inf + 0
573.079 * * [simplify]: Extracting #2: cost 6 inf + 0
573.079 * * [simplify]: Extracting #3: cost 55 inf + 0
573.079 * * [simplify]: Extracting #4: cost 139 inf + 0
573.079 * * [simplify]: Extracting #5: cost 195 inf + 44
573.081 * * [simplify]: Extracting #6: cost 237 inf + 4205
573.083 * * [simplify]: Extracting #7: cost 195 inf + 12690
573.088 * * [simplify]: Extracting #8: cost 135 inf + 29408
573.096 * * [simplify]: Extracting #9: cost 83 inf + 49089
573.106 * * [simplify]: Extracting #10: cost 46 inf + 63886
573.126 * * [simplify]: Extracting #11: cost 6 inf + 103166
573.148 * * [simplify]: Extracting #12: cost 0 inf + 112396
573.170 * [simplify]: Simplified to (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
573.170 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
573.170 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
573.171 * * [simplify]: iters left: 6 (26 enodes)
573.177 * * [simplify]: iters left: 5 (120 enodes)
573.199 * * [simplify]: iters left: 4 (343 enodes)
573.345 * * [simplify]: Extracting #0: cost 1 inf + 0
573.345 * * [simplify]: Extracting #1: cost 3 inf + 0
573.345 * * [simplify]: Extracting #2: cost 61 inf + 0
573.346 * * [simplify]: Extracting #3: cost 273 inf + 0
573.347 * * [simplify]: Extracting #4: cost 366 inf + 290
573.350 * * [simplify]: Extracting #5: cost 337 inf + 9099
573.365 * * [simplify]: Extracting #6: cost 153 inf + 83520
573.405 * * [simplify]: Extracting #7: cost 5 inf + 151186
573.441 * * [simplify]: Extracting #8: cost 0 inf + 154085
573.477 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))))
573.477 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)))))))
573.478 * * * * [progress]: [ 860 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
573.478 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
573.479 * * [simplify]: iters left: 6 (53 enodes)
573.494 * * [simplify]: iters left: 5 (258 enodes)
573.546 * * [simplify]: Extracting #0: cost 1 inf + 0
573.546 * * [simplify]: Extracting #1: cost 3 inf + 0
573.546 * * [simplify]: Extracting #2: cost 6 inf + 0
573.547 * * [simplify]: Extracting #3: cost 57 inf + 0
573.547 * * [simplify]: Extracting #4: cost 137 inf + 0
573.547 * * [simplify]: Extracting #5: cost 191 inf + 44
573.549 * * [simplify]: Extracting #6: cost 222 inf + 6624
573.551 * * [simplify]: Extracting #7: cost 187 inf + 14491
573.556 * * [simplify]: Extracting #8: cost 123 inf + 31018
573.568 * * [simplify]: Extracting #9: cost 56 inf + 57748
573.580 * * [simplify]: Extracting #10: cost 33 inf + 73163
573.598 * * [simplify]: Extracting #11: cost 6 inf + 103358
573.619 * * [simplify]: Extracting #12: cost 0 inf + 111708
573.641 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
573.641 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
573.641 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
573.642 * * [simplify]: iters left: 6 (26 enodes)
573.647 * * [simplify]: iters left: 5 (120 enodes)
573.670 * * [simplify]: iters left: 4 (341 enodes)
573.807 * * [simplify]: Extracting #0: cost 1 inf + 0
573.807 * * [simplify]: Extracting #1: cost 3 inf + 0
573.807 * * [simplify]: Extracting #2: cost 55 inf + 0
573.807 * * [simplify]: Extracting #3: cost 251 inf + 0
573.808 * * [simplify]: Extracting #4: cost 334 inf + 126
573.810 * * [simplify]: Extracting #5: cost 328 inf + 3387
573.822 * * [simplify]: Extracting #6: cost 163 inf + 61964
573.853 * * [simplify]: Extracting #7: cost 6 inf + 132416
573.885 * * [simplify]: Extracting #8: cost 0 inf + 135116
573.917 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
573.917 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
573.918 * * * * [progress]: [ 861 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
573.918 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
573.919 * * [simplify]: iters left: 6 (47 enodes)
573.932 * * [simplify]: iters left: 5 (221 enodes)
573.974 * * [simplify]: Extracting #0: cost 1 inf + 0
573.974 * * [simplify]: Extracting #1: cost 3 inf + 0
573.974 * * [simplify]: Extracting #2: cost 6 inf + 0
573.974 * * [simplify]: Extracting #3: cost 50 inf + 0
573.974 * * [simplify]: Extracting #4: cost 107 inf + 0
573.975 * * [simplify]: Extracting #5: cost 141 inf + 44
573.975 * * [simplify]: Extracting #6: cost 203 inf + 1196
573.977 * * [simplify]: Extracting #7: cost 183 inf + 5223
573.980 * * [simplify]: Extracting #8: cost 124 inf + 17476
573.987 * * [simplify]: Extracting #9: cost 66 inf + 40048
574.001 * * [simplify]: Extracting #10: cost 14 inf + 76859
574.022 * * [simplify]: Extracting #11: cost 0 inf + 90293
574.040 * * [simplify]: Extracting #12: cost 0 inf + 90253
574.058 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))))
574.058 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))))) (cbrt (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
574.059 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))
574.059 * * [simplify]: iters left: 6 (21 enodes)
574.064 * * [simplify]: iters left: 5 (97 enodes)
574.081 * * [simplify]: iters left: 4 (267 enodes)
574.158 * * [simplify]: Extracting #0: cost 1 inf + 0
574.158 * * [simplify]: Extracting #1: cost 3 inf + 0
574.158 * * [simplify]: Extracting #2: cost 29 inf + 0
574.159 * * [simplify]: Extracting #3: cost 133 inf + 0
574.159 * * [simplify]: Extracting #4: cost 190 inf + 84
574.160 * * [simplify]: Extracting #5: cost 198 inf + 2451
574.164 * * [simplify]: Extracting #6: cost 123 inf + 22304
574.176 * * [simplify]: Extracting #7: cost 21 inf + 56959
574.192 * * [simplify]: Extracting #8: cost 0 inf + 65667
574.208 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
574.208 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
574.208 * * * * [progress]: [ 862 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
574.209 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
574.209 * * [simplify]: iters left: 6 (52 enodes)
574.222 * * [simplify]: iters left: 5 (249 enodes)
574.274 * * [simplify]: Extracting #0: cost 1 inf + 0
574.274 * * [simplify]: Extracting #1: cost 3 inf + 0
574.274 * * [simplify]: Extracting #2: cost 10 inf + 0
574.274 * * [simplify]: Extracting #3: cost 66 inf + 0
574.275 * * [simplify]: Extracting #4: cost 126 inf + 1
574.275 * * [simplify]: Extracting #5: cost 164 inf + 207
574.276 * * [simplify]: Extracting #6: cost 226 inf + 2246
574.277 * * [simplify]: Extracting #7: cost 201 inf + 8286
574.281 * * [simplify]: Extracting #8: cost 131 inf + 27136
574.288 * * [simplify]: Extracting #9: cost 95 inf + 39349
574.298 * * [simplify]: Extracting #10: cost 47 inf + 59217
574.311 * * [simplify]: Extracting #11: cost 30 inf + 70682
574.330 * * [simplify]: Extracting #12: cost 4 inf + 100412
574.351 * * [simplify]: Extracting #13: cost 1 inf + 105127
574.372 * * [simplify]: Extracting #14: cost 0 inf + 106992
574.394 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))))))
574.394 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
574.395 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
574.395 * * [simplify]: iters left: 6 (24 enodes)
574.400 * * [simplify]: iters left: 5 (111 enodes)
574.421 * * [simplify]: iters left: 4 (284 enodes)
574.505 * * [simplify]: Extracting #0: cost 1 inf + 0
574.505 * * [simplify]: Extracting #1: cost 3 inf + 0
574.505 * * [simplify]: Extracting #2: cost 29 inf + 0
574.506 * * [simplify]: Extracting #3: cost 132 inf + 0
574.506 * * [simplify]: Extracting #4: cost 200 inf + 412
574.507 * * [simplify]: Extracting #5: cost 207 inf + 3185
574.511 * * [simplify]: Extracting #6: cost 149 inf + 23736
574.525 * * [simplify]: Extracting #7: cost 20 inf + 68511
574.545 * * [simplify]: Extracting #8: cost 0 inf + 77940
574.563 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))
574.564 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))))
574.564 * * * * [progress]: [ 863 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
574.564 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
574.565 * * [simplify]: iters left: 6 (47 enodes)
574.577 * * [simplify]: iters left: 5 (222 enodes)
574.621 * * [simplify]: Extracting #0: cost 1 inf + 0
574.621 * * [simplify]: Extracting #1: cost 3 inf + 0
574.622 * * [simplify]: Extracting #2: cost 10 inf + 0
574.622 * * [simplify]: Extracting #3: cost 57 inf + 0
574.622 * * [simplify]: Extracting #4: cost 105 inf + 44
574.622 * * [simplify]: Extracting #5: cost 127 inf + 1306
574.624 * * [simplify]: Extracting #6: cost 191 inf + 3096
574.625 * * [simplify]: Extracting #7: cost 188 inf + 4569
574.627 * * [simplify]: Extracting #8: cost 143 inf + 11298
574.632 * * [simplify]: Extracting #9: cost 100 inf + 26809
574.641 * * [simplify]: Extracting #10: cost 41 inf + 50537
574.652 * * [simplify]: Extracting #11: cost 23 inf + 62614
574.666 * * [simplify]: Extracting #12: cost 4 inf + 81769
574.682 * * [simplify]: Extracting #13: cost 1 inf + 86444
574.701 * * [simplify]: Extracting #14: cost 0 inf + 88029
574.718 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))))
574.719 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
574.719 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
574.719 * * [simplify]: iters left: 6 (20 enodes)
574.724 * * [simplify]: iters left: 5 (92 enodes)
574.739 * * [simplify]: iters left: 4 (226 enodes)
574.797 * * [simplify]: Extracting #0: cost 1 inf + 0
574.797 * * [simplify]: Extracting #1: cost 3 inf + 0
574.797 * * [simplify]: Extracting #2: cost 17 inf + 0
574.797 * * [simplify]: Extracting #3: cost 61 inf + 0
574.798 * * [simplify]: Extracting #4: cost 101 inf + 2
574.798 * * [simplify]: Extracting #5: cost 127 inf + 88
574.799 * * [simplify]: Extracting #6: cost 97 inf + 4401
574.805 * * [simplify]: Extracting #7: cost 15 inf + 27406
574.813 * * [simplify]: Extracting #8: cost 1 inf + 32843
574.822 * * [simplify]: Extracting #9: cost 0 inf + 33407
574.831 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
574.831 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))))
574.831 * * * * [progress]: [ 864 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
574.831 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
574.832 * * [simplify]: iters left: 6 (52 enodes)
574.847 * * [simplify]: iters left: 5 (249 enodes)
574.896 * * [simplify]: Extracting #0: cost 1 inf + 0
574.896 * * [simplify]: Extracting #1: cost 3 inf + 0
574.896 * * [simplify]: Extracting #2: cost 10 inf + 0
574.896 * * [simplify]: Extracting #3: cost 66 inf + 0
574.896 * * [simplify]: Extracting #4: cost 126 inf + 1
574.897 * * [simplify]: Extracting #5: cost 164 inf + 207
574.898 * * [simplify]: Extracting #6: cost 229 inf + 1641
574.899 * * [simplify]: Extracting #7: cost 200 inf + 8708
574.903 * * [simplify]: Extracting #8: cost 132 inf + 26601
574.912 * * [simplify]: Extracting #9: cost 95 inf + 40029
574.921 * * [simplify]: Extracting #10: cost 47 inf + 60017
574.933 * * [simplify]: Extracting #11: cost 30 inf + 71482
574.951 * * [simplify]: Extracting #12: cost 4 inf + 101932
574.973 * * [simplify]: Extracting #13: cost 1 inf + 105927
574.995 * * [simplify]: Extracting #14: cost 0 inf + 107792
575.017 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))))))
575.017 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
575.018 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
575.018 * * [simplify]: iters left: 6 (24 enodes)
575.024 * * [simplify]: iters left: 5 (111 enodes)
575.043 * * [simplify]: iters left: 4 (284 enodes)
575.129 * * [simplify]: Extracting #0: cost 1 inf + 0
575.129 * * [simplify]: Extracting #1: cost 3 inf + 0
575.129 * * [simplify]: Extracting #2: cost 29 inf + 0
575.129 * * [simplify]: Extracting #3: cost 132 inf + 0
575.132 * * [simplify]: Extracting #4: cost 200 inf + 412
575.134 * * [simplify]: Extracting #5: cost 207 inf + 3185
575.137 * * [simplify]: Extracting #6: cost 149 inf + 23736
575.151 * * [simplify]: Extracting #7: cost 20 inf + 68511
575.169 * * [simplify]: Extracting #8: cost 0 inf + 77940
575.187 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))
575.187 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))))
575.188 * * * * [progress]: [ 865 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
575.188 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
575.189 * * [simplify]: iters left: 6 (47 enodes)
575.201 * * [simplify]: iters left: 5 (222 enodes)
575.246 * * [simplify]: Extracting #0: cost 1 inf + 0
575.246 * * [simplify]: Extracting #1: cost 3 inf + 0
575.246 * * [simplify]: Extracting #2: cost 10 inf + 0
575.246 * * [simplify]: Extracting #3: cost 56 inf + 0
575.246 * * [simplify]: Extracting #4: cost 104 inf + 86
575.247 * * [simplify]: Extracting #5: cost 121 inf + 1998
575.248 * * [simplify]: Extracting #6: cost 191 inf + 2976
575.249 * * [simplify]: Extracting #7: cost 188 inf + 4569
575.252 * * [simplify]: Extracting #8: cost 143 inf + 11458
575.257 * * [simplify]: Extracting #9: cost 96 inf + 28827
575.266 * * [simplify]: Extracting #10: cost 41 inf + 50857
575.276 * * [simplify]: Extracting #11: cost 23 inf + 62934
575.292 * * [simplify]: Extracting #12: cost 4 inf + 82089
575.309 * * [simplify]: Extracting #13: cost 1 inf + 86764
575.326 * * [simplify]: Extracting #14: cost 0 inf + 88349
575.342 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))))
575.342 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
575.343 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
575.343 * * [simplify]: iters left: 6 (20 enodes)
575.348 * * [simplify]: iters left: 5 (92 enodes)
575.363 * * [simplify]: iters left: 4 (226 enodes)
575.421 * * [simplify]: Extracting #0: cost 1 inf + 0
575.421 * * [simplify]: Extracting #1: cost 3 inf + 0
575.421 * * [simplify]: Extracting #2: cost 17 inf + 0
575.422 * * [simplify]: Extracting #3: cost 61 inf + 0
575.422 * * [simplify]: Extracting #4: cost 101 inf + 2
575.422 * * [simplify]: Extracting #5: cost 127 inf + 88
575.423 * * [simplify]: Extracting #6: cost 97 inf + 4401
575.429 * * [simplify]: Extracting #7: cost 15 inf + 27406
575.439 * * [simplify]: Extracting #8: cost 1 inf + 32843
575.448 * * [simplify]: Extracting #9: cost 0 inf + 33407
575.457 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))
575.457 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))) (sqrt (* (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))))))
575.457 * * * * [progress]: [ 866 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
575.458 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
575.458 * * [simplify]: iters left: 6 (52 enodes)
575.471 * * [simplify]: iters left: 5 (253 enodes)
575.526 * * [simplify]: Extracting #0: cost 1 inf + 0
575.526 * * [simplify]: Extracting #1: cost 3 inf + 0
575.526 * * [simplify]: Extracting #2: cost 6 inf + 0
575.526 * * [simplify]: Extracting #3: cost 56 inf + 0
575.527 * * [simplify]: Extracting #4: cost 130 inf + 0
575.527 * * [simplify]: Extracting #5: cost 210 inf + 0
575.528 * * [simplify]: Extracting #6: cost 284 inf + 971
575.530 * * [simplify]: Extracting #7: cost 227 inf + 11137
575.535 * * [simplify]: Extracting #8: cost 127 inf + 36362
575.544 * * [simplify]: Extracting #9: cost 65 inf + 58302
575.564 * * [simplify]: Extracting #10: cost 9 inf + 113713
575.590 * * [simplify]: Extracting #11: cost 1 inf + 123029
575.618 * * [simplify]: Extracting #12: cost 0 inf + 124934
575.643 * * [simplify]: Extracting #13: cost 0 inf + 124894
575.668 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))
575.668 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (- lambda1 lambda2))) (- lambda1 lambda2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
575.669 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
575.669 * * [simplify]: iters left: 6 (25 enodes)
575.675 * * [simplify]: iters left: 5 (117 enodes)
575.699 * * [simplify]: iters left: 4 (342 enodes)
575.835 * * [simplify]: Extracting #0: cost 1 inf + 0
575.835 * * [simplify]: Extracting #1: cost 3 inf + 0
575.836 * * [simplify]: Extracting #2: cost 44 inf + 0
575.836 * * [simplify]: Extracting #3: cost 314 inf + 0
575.838 * * [simplify]: Extracting #4: cost 487 inf + 451
575.844 * * [simplify]: Extracting #5: cost 399 inf + 31749
575.873 * * [simplify]: Extracting #6: cost 90 inf + 157849
575.922 * * [simplify]: Extracting #7: cost 2 inf + 214569
575.969 * * [simplify]: Extracting #8: cost 0 inf + 213137
576.016 * * [simplify]: Extracting #9: cost 0 inf + 213097
576.064 * [simplify]: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))
576.064 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))))
576.064 * * * * [progress]: [ 867 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
576.065 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
576.065 * * [simplify]: iters left: 6 (53 enodes)
576.080 * * [simplify]: iters left: 5 (262 enodes)
576.134 * * [simplify]: Extracting #0: cost 1 inf + 0
576.134 * * [simplify]: Extracting #1: cost 3 inf + 0
576.135 * * [simplify]: Extracting #2: cost 6 inf + 0
576.135 * * [simplify]: Extracting #3: cost 60 inf + 0
576.135 * * [simplify]: Extracting #4: cost 153 inf + 0
576.135 * * [simplify]: Extracting #5: cost 224 inf + 44
576.137 * * [simplify]: Extracting #6: cost 258 inf + 5297
576.140 * * [simplify]: Extracting #7: cost 201 inf + 15969
576.144 * * [simplify]: Extracting #8: cost 164 inf + 24434
576.154 * * [simplify]: Extracting #9: cost 104 inf + 48682
576.166 * * [simplify]: Extracting #10: cost 36 inf + 81251
576.188 * * [simplify]: Extracting #11: cost 2 inf + 121381
576.213 * * [simplify]: Extracting #12: cost 0 inf + 124671
576.237 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
576.238 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
576.238 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
576.238 * * [simplify]: iters left: 6 (26 enodes)
576.246 * * [simplify]: iters left: 5 (121 enodes)
576.269 * * [simplify]: iters left: 4 (339 enodes)
576.401 * * [simplify]: Extracting #0: cost 1 inf + 0
576.401 * * [simplify]: Extracting #1: cost 3 inf + 0
576.401 * * [simplify]: Extracting #2: cost 70 inf + 0
576.402 * * [simplify]: Extracting #3: cost 324 inf + 0
576.403 * * [simplify]: Extracting #4: cost 432 inf + 249
576.407 * * [simplify]: Extracting #5: cost 378 inf + 20299
576.436 * * [simplify]: Extracting #6: cost 93 inf + 135171
576.475 * * [simplify]: Extracting #7: cost 0 inf + 187303
576.516 * * [simplify]: Extracting #8: cost 0 inf + 187263
576.559 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1))))
576.559 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)))))))
576.559 * * * * [progress]: [ 868 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
576.559 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
576.560 * * [simplify]: iters left: 6 (53 enodes)
576.573 * * [simplify]: iters left: 5 (262 enodes)
576.631 * * [simplify]: Extracting #0: cost 1 inf + 0
576.631 * * [simplify]: Extracting #1: cost 3 inf + 0
576.631 * * [simplify]: Extracting #2: cost 6 inf + 0
576.631 * * [simplify]: Extracting #3: cost 62 inf + 0
576.631 * * [simplify]: Extracting #4: cost 151 inf + 0
576.632 * * [simplify]: Extracting #5: cost 221 inf + 2
576.633 * * [simplify]: Extracting #6: cost 255 inf + 5978
576.636 * * [simplify]: Extracting #7: cost 199 inf + 17773
576.642 * * [simplify]: Extracting #8: cost 139 inf + 35494
576.651 * * [simplify]: Extracting #9: cost 93 inf + 56193
576.663 * * [simplify]: Extracting #10: cost 42 inf + 75933
576.685 * * [simplify]: Extracting #11: cost 9 inf + 111558
576.708 * * [simplify]: Extracting #12: cost 0 inf + 122383
576.732 * * [simplify]: Extracting #13: cost 0 inf + 122343
576.755 * [simplify]: Simplified to (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
576.755 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
576.756 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
576.756 * * [simplify]: iters left: 6 (26 enodes)
576.762 * * [simplify]: iters left: 5 (121 enodes)
576.786 * * [simplify]: iters left: 4 (337 enodes)
576.918 * * [simplify]: Extracting #0: cost 1 inf + 0
576.918 * * [simplify]: Extracting #1: cost 3 inf + 0
576.918 * * [simplify]: Extracting #2: cost 62 inf + 0
576.919 * * [simplify]: Extracting #3: cost 299 inf + 0
576.921 * * [simplify]: Extracting #4: cost 392 inf + 410
576.925 * * [simplify]: Extracting #5: cost 339 inf + 18860
576.943 * * [simplify]: Extracting #6: cost 99 inf + 101981
576.981 * * [simplify]: Extracting #7: cost 3 inf + 162577
577.022 * * [simplify]: Extracting #8: cost 0 inf + 164309
577.058 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
577.058 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
577.059 * * * * [progress]: [ 869 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
577.059 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
577.059 * * [simplify]: iters left: 6 (47 enodes)
577.072 * * [simplify]: iters left: 5 (226 enodes)
577.118 * * [simplify]: Extracting #0: cost 1 inf + 0
577.118 * * [simplify]: Extracting #1: cost 3 inf + 0
577.118 * * [simplify]: Extracting #2: cost 6 inf + 0
577.118 * * [simplify]: Extracting #3: cost 54 inf + 0
577.118 * * [simplify]: Extracting #4: cost 119 inf + 0
577.118 * * [simplify]: Extracting #5: cost 168 inf + 44
577.119 * * [simplify]: Extracting #6: cost 228 inf + 1480
577.121 * * [simplify]: Extracting #7: cost 206 inf + 5104
577.124 * * [simplify]: Extracting #8: cost 142 inf + 18387
577.131 * * [simplify]: Extracting #9: cost 66 inf + 48487
577.149 * * [simplify]: Extracting #10: cost 8 inf + 90535
577.168 * * [simplify]: Extracting #11: cost 1 inf + 97977
577.188 * * [simplify]: Extracting #12: cost 0 inf + 99842
577.208 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
577.208 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
577.209 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))
577.209 * * [simplify]: iters left: 6 (21 enodes)
577.214 * * [simplify]: iters left: 5 (99 enodes)
577.232 * * [simplify]: iters left: 4 (267 enodes)
577.308 * * [simplify]: Extracting #0: cost 1 inf + 0
577.308 * * [simplify]: Extracting #1: cost 3 inf + 0
577.308 * * [simplify]: Extracting #2: cost 35 inf + 0
577.308 * * [simplify]: Extracting #3: cost 156 inf + 0
577.309 * * [simplify]: Extracting #4: cost 220 inf + 43
577.311 * * [simplify]: Extracting #5: cost 191 inf + 9092
577.320 * * [simplify]: Extracting #6: cost 61 inf + 48531
577.338 * * [simplify]: Extracting #7: cost 4 inf + 78287
577.355 * * [simplify]: Extracting #8: cost 0 inf + 76661
577.372 * * [simplify]: Extracting #9: cost 0 inf + 76341
577.391 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))
577.391 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
577.392 * * * * [progress]: [ 870 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
577.392 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
577.392 * * [simplify]: iters left: 6 (52 enodes)
577.406 * * [simplify]: iters left: 5 (254 enodes)
577.460 * * [simplify]: Extracting #0: cost 1 inf + 0
577.460 * * [simplify]: Extracting #1: cost 3 inf + 0
577.460 * * [simplify]: Extracting #2: cost 10 inf + 0
577.460 * * [simplify]: Extracting #3: cost 74 inf + 0
577.461 * * [simplify]: Extracting #4: cost 137 inf + 1
577.461 * * [simplify]: Extracting #5: cost 190 inf + 207
577.462 * * [simplify]: Extracting #6: cost 245 inf + 3099
577.464 * * [simplify]: Extracting #7: cost 205 inf + 11294
577.470 * * [simplify]: Extracting #8: cost 111 inf + 39610
577.480 * * [simplify]: Extracting #9: cost 52 inf + 66294
577.498 * * [simplify]: Extracting #10: cost 9 inf + 108468
577.522 * * [simplify]: Extracting #11: cost 1 inf + 118668
577.547 * * [simplify]: Extracting #12: cost 0 inf + 120853
577.572 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (* (* lambda1 lambda1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))))
577.572 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (* (* lambda1 lambda1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
577.572 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
577.573 * * [simplify]: iters left: 6 (24 enodes)
577.578 * * [simplify]: iters left: 5 (112 enodes)
577.599 * * [simplify]: iters left: 4 (284 enodes)
577.679 * * [simplify]: Extracting #0: cost 1 inf + 0
577.679 * * [simplify]: Extracting #1: cost 3 inf + 0
577.679 * * [simplify]: Extracting #2: cost 33 inf + 0
577.680 * * [simplify]: Extracting #3: cost 142 inf + 0
577.680 * * [simplify]: Extracting #4: cost 227 inf + 290
577.682 * * [simplify]: Extracting #5: cost 235 inf + 6715
577.692 * * [simplify]: Extracting #6: cost 86 inf + 47639
577.710 * * [simplify]: Extracting #7: cost 8 inf + 85744
577.731 * * [simplify]: Extracting #8: cost 0 inf + 90332
577.752 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))))
577.752 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))))))))
577.752 * * * * [progress]: [ 871 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
577.753 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
577.753 * * [simplify]: iters left: 6 (47 enodes)
577.765 * * [simplify]: iters left: 5 (226 enodes)
577.810 * * [simplify]: Extracting #0: cost 1 inf + 0
577.810 * * [simplify]: Extracting #1: cost 3 inf + 0
577.810 * * [simplify]: Extracting #2: cost 10 inf + 0
577.811 * * [simplify]: Extracting #3: cost 66 inf + 0
577.811 * * [simplify]: Extracting #4: cost 117 inf + 44
577.811 * * [simplify]: Extracting #5: cost 154 inf + 1064
577.812 * * [simplify]: Extracting #6: cost 218 inf + 2974
577.814 * * [simplify]: Extracting #7: cost 187 inf + 7660
577.819 * * [simplify]: Extracting #8: cost 112 inf + 32033
577.828 * * [simplify]: Extracting #9: cost 53 inf + 55446
577.845 * * [simplify]: Extracting #10: cost 5 inf + 88367
577.864 * * [simplify]: Extracting #11: cost 0 inf + 96092
577.883 * * [simplify]: Extracting #12: cost 0 inf + 95732
577.902 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
577.902 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
577.903 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))
577.903 * * [simplify]: iters left: 6 (20 enodes)
577.907 * * [simplify]: iters left: 5 (94 enodes)
577.925 * * [simplify]: iters left: 4 (227 enodes)
577.978 * * [simplify]: Extracting #0: cost 1 inf + 0
577.978 * * [simplify]: Extracting #1: cost 3 inf + 0
577.978 * * [simplify]: Extracting #2: cost 23 inf + 0
577.979 * * [simplify]: Extracting #3: cost 70 inf + 0
577.979 * * [simplify]: Extracting #4: cost 118 inf + 44
577.980 * * [simplify]: Extracting #5: cost 134 inf + 1831
577.984 * * [simplify]: Extracting #6: cost 36 inf + 27703
577.993 * * [simplify]: Extracting #7: cost 5 inf + 37073
578.003 * * [simplify]: Extracting #8: cost 0 inf + 38769
578.013 * * [simplify]: Extracting #9: cost 0 inf + 38689
578.022 * [simplify]: Simplified to (sqrt (* (* (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))
578.022 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))))
578.022 * * * * [progress]: [ 872 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
578.023 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
578.023 * * [simplify]: iters left: 6 (52 enodes)
578.036 * * [simplify]: iters left: 5 (254 enodes)
578.090 * * [simplify]: Extracting #0: cost 1 inf + 0
578.090 * * [simplify]: Extracting #1: cost 3 inf + 0
578.090 * * [simplify]: Extracting #2: cost 10 inf + 0
578.091 * * [simplify]: Extracting #3: cost 74 inf + 0
578.091 * * [simplify]: Extracting #4: cost 137 inf + 1
578.091 * * [simplify]: Extracting #5: cost 190 inf + 207
578.092 * * [simplify]: Extracting #6: cost 244 inf + 3540
578.094 * * [simplify]: Extracting #7: cost 202 inf + 12029
578.100 * * [simplify]: Extracting #8: cost 110 inf + 40342
578.110 * * [simplify]: Extracting #9: cost 53 inf + 66829
578.129 * * [simplify]: Extracting #10: cost 9 inf + 109428
578.153 * * [simplify]: Extracting #11: cost 1 inf + 119628
578.179 * * [simplify]: Extracting #12: cost 0 inf + 121813
578.203 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (* (* lambda1 lambda1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))))
578.203 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (+ (* (* lambda1 lambda1) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
578.204 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
578.204 * * [simplify]: iters left: 6 (24 enodes)
578.209 * * [simplify]: iters left: 5 (112 enodes)
578.231 * * [simplify]: iters left: 4 (284 enodes)
578.349 * * [simplify]: Extracting #0: cost 1 inf + 0
578.349 * * [simplify]: Extracting #1: cost 3 inf + 0
578.349 * * [simplify]: Extracting #2: cost 33 inf + 0
578.349 * * [simplify]: Extracting #3: cost 142 inf + 0
578.350 * * [simplify]: Extracting #4: cost 227 inf + 290
578.352 * * [simplify]: Extracting #5: cost 235 inf + 6715
578.360 * * [simplify]: Extracting #6: cost 86 inf + 47639
578.378 * * [simplify]: Extracting #7: cost 8 inf + 85744
578.399 * * [simplify]: Extracting #8: cost 0 inf + 90332
578.420 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))))
578.420 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))))))))
578.420 * * * * [progress]: [ 873 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
578.421 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
578.421 * * [simplify]: iters left: 6 (47 enodes)
578.434 * * [simplify]: iters left: 5 (226 enodes)
578.479 * * [simplify]: Extracting #0: cost 1 inf + 0
578.479 * * [simplify]: Extracting #1: cost 3 inf + 0
578.479 * * [simplify]: Extracting #2: cost 10 inf + 0
578.479 * * [simplify]: Extracting #3: cost 65 inf + 0
578.479 * * [simplify]: Extracting #4: cost 116 inf + 86
578.479 * * [simplify]: Extracting #5: cost 151 inf + 1350
578.480 * * [simplify]: Extracting #6: cost 218 inf + 2934
578.482 * * [simplify]: Extracting #7: cost 186 inf + 8669
578.487 * * [simplify]: Extracting #8: cost 115 inf + 31223
578.496 * * [simplify]: Extracting #9: cost 60 inf + 52751
578.512 * * [simplify]: Extracting #10: cost 9 inf + 87066
578.531 * * [simplify]: Extracting #11: cost 0 inf + 96492
578.550 * * [simplify]: Extracting #12: cost 0 inf + 96132
578.570 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
578.570 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
578.571 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))
578.571 * * [simplify]: iters left: 6 (20 enodes)
578.575 * * [simplify]: iters left: 5 (94 enodes)
578.593 * * [simplify]: iters left: 4 (227 enodes)
578.642 * * [simplify]: Extracting #0: cost 1 inf + 0
578.643 * * [simplify]: Extracting #1: cost 3 inf + 0
578.643 * * [simplify]: Extracting #2: cost 23 inf + 0
578.643 * * [simplify]: Extracting #3: cost 70 inf + 0
578.643 * * [simplify]: Extracting #4: cost 118 inf + 44
578.644 * * [simplify]: Extracting #5: cost 134 inf + 1831
578.648 * * [simplify]: Extracting #6: cost 36 inf + 27703
578.658 * * [simplify]: Extracting #7: cost 5 inf + 37073
578.668 * * [simplify]: Extracting #8: cost 0 inf + 38769
578.677 * * [simplify]: Extracting #9: cost 0 inf + 38689
578.686 * [simplify]: Simplified to (sqrt (* (* (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))
578.686 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))))
578.686 * * * * [progress]: [ 874 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
578.686 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
578.687 * * [simplify]: iters left: 6 (51 enodes)
578.700 * * [simplify]: iters left: 5 (243 enodes)
578.752 * * [simplify]: Extracting #0: cost 1 inf + 0
578.752 * * [simplify]: Extracting #1: cost 3 inf + 0
578.752 * * [simplify]: Extracting #2: cost 6 inf + 0
578.752 * * [simplify]: Extracting #3: cost 56 inf + 0
578.753 * * [simplify]: Extracting #4: cost 130 inf + 0
578.753 * * [simplify]: Extracting #5: cost 207 inf + 0
578.754 * * [simplify]: Extracting #6: cost 270 inf + 1491
578.756 * * [simplify]: Extracting #7: cost 199 inf + 14136
578.761 * * [simplify]: Extracting #8: cost 121 inf + 38732
578.771 * * [simplify]: Extracting #9: cost 59 inf + 63031
578.789 * * [simplify]: Extracting #10: cost 8 inf + 111485
578.812 * * [simplify]: Extracting #11: cost 1 inf + 120740
578.838 * * [simplify]: Extracting #12: cost 0 inf + 122765
578.863 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
578.864 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
578.864 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
578.864 * * [simplify]: iters left: 6 (24 enodes)
578.870 * * [simplify]: iters left: 5 (108 enodes)
578.890 * * [simplify]: iters left: 4 (322 enodes)
579.027 * * [simplify]: Extracting #0: cost 1 inf + 0
579.027 * * [simplify]: Extracting #1: cost 3 inf + 0
579.027 * * [simplify]: Extracting #2: cost 43 inf + 0
579.028 * * [simplify]: Extracting #3: cost 311 inf + 0
579.030 * * [simplify]: Extracting #4: cost 482 inf + 85
579.040 * * [simplify]: Extracting #5: cost 330 inf + 66490
579.082 * * [simplify]: Extracting #6: cost 25 inf + 210342
579.132 * * [simplify]: Extracting #7: cost 0 inf + 210628
579.181 * * [simplify]: Extracting #8: cost 0 inf + 209988
579.228 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))
579.228 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))))
579.229 * * * * [progress]: [ 875 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
579.229 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
579.230 * * [simplify]: iters left: 6 (52 enodes)
579.243 * * [simplify]: iters left: 5 (252 enodes)
579.297 * * [simplify]: Extracting #0: cost 1 inf + 0
579.297 * * [simplify]: Extracting #1: cost 3 inf + 0
579.297 * * [simplify]: Extracting #2: cost 6 inf + 0
579.297 * * [simplify]: Extracting #3: cost 60 inf + 0
579.297 * * [simplify]: Extracting #4: cost 153 inf + 0
579.298 * * [simplify]: Extracting #5: cost 221 inf + 44
579.299 * * [simplify]: Extracting #6: cost 244 inf + 5666
579.302 * * [simplify]: Extracting #7: cost 188 inf + 16070
579.308 * * [simplify]: Extracting #8: cost 133 inf + 36443
579.317 * * [simplify]: Extracting #9: cost 85 inf + 57990
579.328 * * [simplify]: Extracting #10: cost 50 inf + 71012
579.348 * * [simplify]: Extracting #11: cost 7 inf + 117367
579.374 * * [simplify]: Extracting #12: cost 1 inf + 124677
579.398 * * [simplify]: Extracting #13: cost 0 inf + 126822
579.422 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))
579.422 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
579.423 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
579.423 * * [simplify]: iters left: 6 (25 enodes)
579.429 * * [simplify]: iters left: 5 (112 enodes)
579.449 * * [simplify]: iters left: 4 (319 enodes)
579.579 * * [simplify]: Extracting #0: cost 1 inf + 0
579.579 * * [simplify]: Extracting #1: cost 3 inf + 0
579.580 * * [simplify]: Extracting #2: cost 69 inf + 0
579.580 * * [simplify]: Extracting #3: cost 328 inf + 0
579.582 * * [simplify]: Extracting #4: cost 430 inf + 290
579.593 * * [simplify]: Extracting #5: cost 264 inf + 75617
579.630 * * [simplify]: Extracting #6: cost 10 inf + 195512
579.673 * * [simplify]: Extracting #7: cost 0 inf + 191109
579.713 * * [simplify]: Extracting #8: cost 0 inf + 190789
579.754 * [simplify]: Simplified to (sqrt (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))
579.754 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))))
579.754 * * * * [progress]: [ 876 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
579.755 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
579.755 * * [simplify]: iters left: 6 (52 enodes)
579.768 * * [simplify]: iters left: 5 (252 enodes)
579.825 * * [simplify]: Extracting #0: cost 1 inf + 0
579.825 * * [simplify]: Extracting #1: cost 3 inf + 0
579.825 * * [simplify]: Extracting #2: cost 6 inf + 0
579.825 * * [simplify]: Extracting #3: cost 62 inf + 0
579.826 * * [simplify]: Extracting #4: cost 151 inf + 0
579.826 * * [simplify]: Extracting #5: cost 217 inf + 44
579.827 * * [simplify]: Extracting #6: cost 242 inf + 6221
579.831 * * [simplify]: Extracting #7: cost 183 inf + 16870
579.836 * * [simplify]: Extracting #8: cost 134 inf + 34868
579.845 * * [simplify]: Extracting #9: cost 91 inf + 54048
579.856 * * [simplify]: Extracting #10: cost 51 inf + 70139
579.874 * * [simplify]: Extracting #11: cost 7 inf + 114079
579.897 * * [simplify]: Extracting #12: cost 1 inf + 120989
579.922 * * [simplify]: Extracting #13: cost 0 inf + 123094
579.945 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
579.946 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
579.946 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
579.946 * * [simplify]: iters left: 6 (25 enodes)
579.952 * * [simplify]: iters left: 5 (112 enodes)
579.972 * * [simplify]: iters left: 4 (317 enodes)
580.095 * * [simplify]: Extracting #0: cost 1 inf + 0
580.096 * * [simplify]: Extracting #1: cost 3 inf + 0
580.096 * * [simplify]: Extracting #2: cost 61 inf + 0
580.097 * * [simplify]: Extracting #3: cost 297 inf + 0
580.098 * * [simplify]: Extracting #4: cost 378 inf + 292
580.108 * * [simplify]: Extracting #5: cost 245 inf + 57388
580.144 * * [simplify]: Extracting #6: cost 12 inf + 165798
580.180 * * [simplify]: Extracting #7: cost 0 inf + 163077
580.217 * * [simplify]: Extracting #8: cost 0 inf + 162517
580.253 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))
580.253 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))
580.254 * * * * [progress]: [ 877 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
580.254 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
580.255 * * [simplify]: iters left: 6 (46 enodes)
580.266 * * [simplify]: iters left: 5 (216 enodes)
580.312 * * [simplify]: Extracting #0: cost 1 inf + 0
580.312 * * [simplify]: Extracting #1: cost 3 inf + 0
580.312 * * [simplify]: Extracting #2: cost 6 inf + 0
580.312 * * [simplify]: Extracting #3: cost 54 inf + 0
580.312 * * [simplify]: Extracting #4: cost 119 inf + 0
580.313 * * [simplify]: Extracting #5: cost 164 inf + 86
580.313 * * [simplify]: Extracting #6: cost 221 inf + 1235
580.315 * * [simplify]: Extracting #7: cost 208 inf + 3478
580.318 * * [simplify]: Extracting #8: cost 139 inf + 19847
580.326 * * [simplify]: Extracting #9: cost 55 inf + 54065
580.343 * * [simplify]: Extracting #10: cost 9 inf + 91008
580.363 * * [simplify]: Extracting #11: cost 0 inf + 101153
580.385 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))))))
580.385 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
580.386 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
580.386 * * [simplify]: iters left: 6 (20 enodes)
580.391 * * [simplify]: iters left: 5 (90 enodes)
580.409 * * [simplify]: iters left: 4 (247 enodes)
580.483 * * [simplify]: Extracting #0: cost 1 inf + 0
580.483 * * [simplify]: Extracting #1: cost 3 inf + 0
580.483 * * [simplify]: Extracting #2: cost 36 inf + 0
580.483 * * [simplify]: Extracting #3: cost 168 inf + 0
580.484 * * [simplify]: Extracting #4: cost 228 inf + 44
580.487 * * [simplify]: Extracting #5: cost 171 inf + 23749
580.501 * * [simplify]: Extracting #6: cost 28 inf + 78698
580.519 * * [simplify]: Extracting #7: cost 0 inf + 83743
580.539 * * [simplify]: Extracting #8: cost 0 inf + 82543
580.557 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))
580.557 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))))
580.558 * * * * [progress]: [ 878 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
580.558 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
580.559 * * [simplify]: iters left: 6 (51 enodes)
580.572 * * [simplify]: iters left: 5 (244 enodes)
580.625 * * [simplify]: Extracting #0: cost 1 inf + 0
580.625 * * [simplify]: Extracting #1: cost 3 inf + 0
580.625 * * [simplify]: Extracting #2: cost 10 inf + 0
580.625 * * [simplify]: Extracting #3: cost 74 inf + 0
580.625 * * [simplify]: Extracting #4: cost 137 inf + 1
580.626 * * [simplify]: Extracting #5: cost 186 inf + 249
580.626 * * [simplify]: Extracting #6: cost 240 inf + 2091
580.629 * * [simplify]: Extracting #7: cost 189 inf + 11088
580.633 * * [simplify]: Extracting #8: cost 134 inf + 31060
580.640 * * [simplify]: Extracting #9: cost 101 inf + 43290
580.649 * * [simplify]: Extracting #10: cost 57 inf + 60059
580.665 * * [simplify]: Extracting #11: cost 17 inf + 96499
580.690 * * [simplify]: Extracting #12: cost 1 inf + 116819
580.715 * * [simplify]: Extracting #13: cost 0 inf + 118884
580.738 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2))))))
580.738 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
580.739 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
580.739 * * [simplify]: iters left: 6 (23 enodes)
580.744 * * [simplify]: iters left: 5 (103 enodes)
580.763 * * [simplify]: iters left: 4 (264 enodes)
580.840 * * [simplify]: Extracting #0: cost 1 inf + 0
580.840 * * [simplify]: Extracting #1: cost 3 inf + 0
580.841 * * [simplify]: Extracting #2: cost 33 inf + 0
580.841 * * [simplify]: Extracting #3: cost 142 inf + 0
580.842 * * [simplify]: Extracting #4: cost 219 inf + 371
580.846 * * [simplify]: Extracting #5: cost 173 inf + 24934
580.863 * * [simplify]: Extracting #6: cost 20 inf + 85271
580.884 * * [simplify]: Extracting #7: cost 0 inf + 88905
580.904 * * [simplify]: Extracting #8: cost 0 inf + 87745
580.925 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))
580.925 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)))))) (sqrt (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))
580.926 * * * * [progress]: [ 879 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
580.926 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
580.926 * * [simplify]: iters left: 6 (46 enodes)
580.938 * * [simplify]: iters left: 5 (216 enodes)
580.986 * * [simplify]: Extracting #0: cost 1 inf + 0
580.986 * * [simplify]: Extracting #1: cost 3 inf + 0
580.986 * * [simplify]: Extracting #2: cost 10 inf + 0
580.986 * * [simplify]: Extracting #3: cost 66 inf + 0
580.987 * * [simplify]: Extracting #4: cost 117 inf + 44
580.987 * * [simplify]: Extracting #5: cost 154 inf + 618
580.988 * * [simplify]: Extracting #6: cost 209 inf + 2814
580.989 * * [simplify]: Extracting #7: cost 189 inf + 5791
580.993 * * [simplify]: Extracting #8: cost 117 inf + 23936
581.002 * * [simplify]: Extracting #9: cost 61 inf + 48475
581.016 * * [simplify]: Extracting #10: cost 12 inf + 84849
581.035 * * [simplify]: Extracting #11: cost 0 inf + 97083
581.054 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
581.054 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
581.055 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
581.055 * * [simplify]: iters left: 6 (19 enodes)
581.059 * * [simplify]: iters left: 5 (85 enodes)
581.074 * * [simplify]: iters left: 4 (207 enodes)
581.121 * * [simplify]: Extracting #0: cost 1 inf + 0
581.121 * * [simplify]: Extracting #1: cost 3 inf + 0
581.121 * * [simplify]: Extracting #2: cost 23 inf + 0
581.121 * * [simplify]: Extracting #3: cost 69 inf + 0
581.122 * * [simplify]: Extracting #4: cost 112 inf + 44
581.122 * * [simplify]: Extracting #5: cost 128 inf + 1546
581.126 * * [simplify]: Extracting #6: cost 52 inf + 22363
581.135 * * [simplify]: Extracting #7: cost 1 inf + 41708
581.144 * * [simplify]: Extracting #8: cost 0 inf + 37950
581.153 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
581.153 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))))
581.153 * * * * [progress]: [ 880 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
581.154 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
581.155 * * [simplify]: iters left: 6 (51 enodes)
581.168 * * [simplify]: iters left: 5 (244 enodes)
581.217 * * [simplify]: Extracting #0: cost 1 inf + 0
581.217 * * [simplify]: Extracting #1: cost 3 inf + 0
581.217 * * [simplify]: Extracting #2: cost 10 inf + 0
581.217 * * [simplify]: Extracting #3: cost 74 inf + 0
581.218 * * [simplify]: Extracting #4: cost 137 inf + 1
581.218 * * [simplify]: Extracting #5: cost 187 inf + 207
581.219 * * [simplify]: Extracting #6: cost 241 inf + 2130
581.221 * * [simplify]: Extracting #7: cost 184 inf + 12981
581.228 * * [simplify]: Extracting #8: cost 135 inf + 30496
581.235 * * [simplify]: Extracting #9: cost 100 inf + 44434
581.244 * * [simplify]: Extracting #10: cost 57 inf + 61019
581.260 * * [simplify]: Extracting #11: cost 17 inf + 97459
581.283 * * [simplify]: Extracting #12: cost 1 inf + 117779
581.308 * * [simplify]: Extracting #13: cost 0 inf + 119844
581.333 * [simplify]: Simplified to (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))
581.333 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
581.334 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
581.334 * * [simplify]: iters left: 6 (23 enodes)
581.339 * * [simplify]: iters left: 5 (103 enodes)
581.357 * * [simplify]: iters left: 4 (264 enodes)
581.430 * * [simplify]: Extracting #0: cost 1 inf + 0
581.430 * * [simplify]: Extracting #1: cost 3 inf + 0
581.430 * * [simplify]: Extracting #2: cost 33 inf + 0
581.431 * * [simplify]: Extracting #3: cost 142 inf + 0
581.431 * * [simplify]: Extracting #4: cost 219 inf + 371
581.436 * * [simplify]: Extracting #5: cost 173 inf + 24934
581.453 * * [simplify]: Extracting #6: cost 20 inf + 85271
581.475 * * [simplify]: Extracting #7: cost 0 inf + 88905
581.495 * * [simplify]: Extracting #8: cost 0 inf + 87745
581.515 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))
581.515 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))
581.515 * * * * [progress]: [ 881 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
581.516 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
581.516 * * [simplify]: iters left: 6 (46 enodes)
581.528 * * [simplify]: iters left: 5 (216 enodes)
581.572 * * [simplify]: Extracting #0: cost 1 inf + 0
581.572 * * [simplify]: Extracting #1: cost 3 inf + 0
581.572 * * [simplify]: Extracting #2: cost 10 inf + 0
581.573 * * [simplify]: Extracting #3: cost 65 inf + 0
581.573 * * [simplify]: Extracting #4: cost 117 inf + 44
581.573 * * [simplify]: Extracting #5: cost 151 inf + 904
581.574 * * [simplify]: Extracting #6: cost 208 inf + 2976
581.576 * * [simplify]: Extracting #7: cost 191 inf + 5589
581.581 * * [simplify]: Extracting #8: cost 110 inf + 29282
581.590 * * [simplify]: Extracting #9: cost 50 inf + 56036
581.604 * * [simplify]: Extracting #10: cost 12 inf + 85289
581.623 * * [simplify]: Extracting #11: cost 0 inf + 97483
581.644 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))))))
581.644 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
581.645 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
581.645 * * [simplify]: iters left: 6 (19 enodes)
581.649 * * [simplify]: iters left: 5 (85 enodes)
581.664 * * [simplify]: iters left: 4 (207 enodes)
581.712 * * [simplify]: Extracting #0: cost 1 inf + 0
581.712 * * [simplify]: Extracting #1: cost 3 inf + 0
581.712 * * [simplify]: Extracting #2: cost 23 inf + 0
581.712 * * [simplify]: Extracting #3: cost 69 inf + 0
581.713 * * [simplify]: Extracting #4: cost 112 inf + 44
581.713 * * [simplify]: Extracting #5: cost 128 inf + 1546
581.717 * * [simplify]: Extracting #6: cost 52 inf + 22363
581.726 * * [simplify]: Extracting #7: cost 1 inf + 41708
581.735 * * [simplify]: Extracting #8: cost 0 inf + 37950
581.743 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
581.743 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))))
581.744 * * * * [progress]: [ 882 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
581.744 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
581.745 * * [simplify]: iters left: 6 (48 enodes)
581.757 * * [simplify]: iters left: 5 (229 enodes)
581.806 * * [simplify]: Extracting #0: cost 1 inf + 0
581.807 * * [simplify]: Extracting #1: cost 3 inf + 0
581.807 * * [simplify]: Extracting #2: cost 6 inf + 0
581.807 * * [simplify]: Extracting #3: cost 54 inf + 0
581.807 * * [simplify]: Extracting #4: cost 120 inf + 0
581.807 * * [simplify]: Extracting #5: cost 188 inf + 0
581.808 * * [simplify]: Extracting #6: cost 252 inf + 1311
581.809 * * [simplify]: Extracting #7: cost 213 inf + 7874
581.814 * * [simplify]: Extracting #8: cost 106 inf + 34694
581.824 * * [simplify]: Extracting #9: cost 39 inf + 64182
581.840 * * [simplify]: Extracting #10: cost 5 inf + 100545
581.863 * * [simplify]: Extracting #11: cost 0 inf + 107670
581.885 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))
581.885 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
581.886 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
581.886 * * [simplify]: iters left: 6 (23 enodes)
581.891 * * [simplify]: iters left: 5 (105 enodes)
581.911 * * [simplify]: iters left: 4 (314 enodes)
582.039 * * [simplify]: Extracting #0: cost 1 inf + 0
582.039 * * [simplify]: Extracting #1: cost 3 inf + 0
582.039 * * [simplify]: Extracting #2: cost 37 inf + 0
582.040 * * [simplify]: Extracting #3: cost 277 inf + 0
582.041 * * [simplify]: Extracting #4: cost 430 inf + 124
582.046 * * [simplify]: Extracting #5: cost 403 inf + 7931
582.062 * * [simplify]: Extracting #6: cost 166 inf + 90279
582.097 * * [simplify]: Extracting #7: cost 5 inf + 163721
582.136 * * [simplify]: Extracting #8: cost 0 inf + 165617
582.175 * * [simplify]: Extracting #9: cost 0 inf + 165577
582.212 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))
582.212 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))
582.213 * * * * [progress]: [ 883 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
582.213 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
582.213 * * [simplify]: iters left: 6 (49 enodes)
582.227 * * [simplify]: iters left: 5 (238 enodes)
582.291 * * [simplify]: Extracting #0: cost 1 inf + 0
582.291 * * [simplify]: Extracting #1: cost 3 inf + 0
582.291 * * [simplify]: Extracting #2: cost 6 inf + 0
582.291 * * [simplify]: Extracting #3: cost 58 inf + 0
582.292 * * [simplify]: Extracting #4: cost 143 inf + 0
582.292 * * [simplify]: Extracting #5: cost 201 inf + 85
582.294 * * [simplify]: Extracting #6: cost 234 inf + 4282
582.298 * * [simplify]: Extracting #7: cost 188 inf + 13848
582.305 * * [simplify]: Extracting #8: cost 127 inf + 30612
582.320 * * [simplify]: Extracting #9: cost 87 inf + 47307
582.335 * * [simplify]: Extracting #10: cost 48 inf + 62327
582.354 * * [simplify]: Extracting #11: cost 8 inf + 101047
582.374 * * [simplify]: Extracting #12: cost 0 inf + 110287
582.394 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))
582.394 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
582.395 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
582.395 * * [simplify]: iters left: 6 (24 enodes)
582.400 * * [simplify]: iters left: 5 (109 enodes)
582.422 * * [simplify]: iters left: 4 (311 enodes)
582.550 * * [simplify]: Extracting #0: cost 1 inf + 0
582.550 * * [simplify]: Extracting #1: cost 3 inf + 0
582.550 * * [simplify]: Extracting #2: cost 61 inf + 0
582.551 * * [simplify]: Extracting #3: cost 291 inf + 0
582.552 * * [simplify]: Extracting #4: cost 370 inf + 332
582.557 * * [simplify]: Extracting #5: cost 305 inf + 19591
582.576 * * [simplify]: Extracting #6: cost 91 inf + 103946
582.607 * * [simplify]: Extracting #7: cost 3 inf + 141583
582.642 * * [simplify]: Extracting #8: cost 0 inf + 143073
582.673 * [simplify]: Simplified to (sqrt (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))))
582.673 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))))
582.674 * * * * [progress]: [ 884 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
582.674 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
582.675 * * [simplify]: iters left: 6 (49 enodes)
582.687 * * [simplify]: iters left: 5 (238 enodes)
582.738 * * [simplify]: Extracting #0: cost 1 inf + 0
582.738 * * [simplify]: Extracting #1: cost 3 inf + 0
582.738 * * [simplify]: Extracting #2: cost 6 inf + 0
582.738 * * [simplify]: Extracting #3: cost 60 inf + 0
582.739 * * [simplify]: Extracting #4: cost 141 inf + 0
582.739 * * [simplify]: Extracting #5: cost 196 inf + 166
582.740 * * [simplify]: Extracting #6: cost 223 inf + 6013
582.743 * * [simplify]: Extracting #7: cost 179 inf + 15772
582.748 * * [simplify]: Extracting #8: cost 125 inf + 30492
582.755 * * [simplify]: Extracting #9: cost 88 inf + 44857
582.766 * * [simplify]: Extracting #10: cost 51 inf + 58604
582.777 * * [simplify]: Extracting #11: cost 33 inf + 71134
582.796 * * [simplify]: Extracting #12: cost 2 inf + 104749
582.817 * * [simplify]: Extracting #13: cost 0 inf + 107799
582.837 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
582.837 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
582.838 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
582.838 * * [simplify]: iters left: 6 (24 enodes)
582.844 * * [simplify]: iters left: 5 (109 enodes)
582.865 * * [simplify]: iters left: 4 (309 enodes)
582.987 * * [simplify]: Extracting #0: cost 1 inf + 0
582.987 * * [simplify]: Extracting #1: cost 3 inf + 0
582.987 * * [simplify]: Extracting #2: cost 55 inf + 0
582.988 * * [simplify]: Extracting #3: cost 272 inf + 0
582.989 * * [simplify]: Extracting #4: cost 342 inf + 412
582.993 * * [simplify]: Extracting #5: cost 279 inf + 16996
583.009 * * [simplify]: Extracting #6: cost 85 inf + 88930
583.036 * * [simplify]: Extracting #7: cost 5 inf + 126393
583.067 * * [simplify]: Extracting #8: cost 0 inf + 129453
583.096 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) (cbrt (+ lambda1 lambda2))))
583.096 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) (cbrt (+ lambda1 lambda2)))))))
583.097 * * * * [progress]: [ 885 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
583.097 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
583.097 * * [simplify]: iters left: 6 (43 enodes)
583.110 * * [simplify]: iters left: 5 (202 enodes)
583.153 * * [simplify]: Extracting #0: cost 1 inf + 0
583.153 * * [simplify]: Extracting #1: cost 3 inf + 0
583.153 * * [simplify]: Extracting #2: cost 6 inf + 0
583.153 * * [simplify]: Extracting #3: cost 52 inf + 0
583.154 * * [simplify]: Extracting #4: cost 109 inf + 0
583.154 * * [simplify]: Extracting #5: cost 145 inf + 126
583.155 * * [simplify]: Extracting #6: cost 198 inf + 1439
583.156 * * [simplify]: Extracting #7: cost 177 inf + 5832
583.161 * * [simplify]: Extracting #8: cost 90 inf + 35143
583.170 * * [simplify]: Extracting #9: cost 37 inf + 53706
583.184 * * [simplify]: Extracting #10: cost 7 inf + 76483
583.199 * * [simplify]: Extracting #11: cost 0 inf + 85418
583.216 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))))))
583.216 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
583.217 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))
583.217 * * [simplify]: iters left: 6 (19 enodes)
583.221 * * [simplify]: iters left: 5 (87 enodes)
583.239 * * [simplify]: iters left: 4 (239 enodes)
583.308 * * [simplify]: Extracting #0: cost 1 inf + 0
583.308 * * [simplify]: Extracting #1: cost 3 inf + 0
583.308 * * [simplify]: Extracting #2: cost 29 inf + 0
583.308 * * [simplify]: Extracting #3: cost 137 inf + 0
583.309 * * [simplify]: Extracting #4: cost 181 inf + 167
583.310 * * [simplify]: Extracting #5: cost 168 inf + 5819
583.315 * * [simplify]: Extracting #6: cost 91 inf + 26385
583.327 * * [simplify]: Extracting #7: cost 3 inf + 57519
583.340 * * [simplify]: Extracting #8: cost 0 inf + 58367
583.354 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))
583.354 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))))
583.354 * * * * [progress]: [ 886 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
583.355 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
583.355 * * [simplify]: iters left: 6 (48 enodes)
583.370 * * [simplify]: iters left: 5 (230 enodes)
583.418 * * [simplify]: Extracting #0: cost 1 inf + 0
583.418 * * [simplify]: Extracting #1: cost 3 inf + 0
583.418 * * [simplify]: Extracting #2: cost 10 inf + 0
583.418 * * [simplify]: Extracting #3: cost 72 inf + 0
583.418 * * [simplify]: Extracting #4: cost 127 inf + 1
583.419 * * [simplify]: Extracting #5: cost 170 inf + 85
583.420 * * [simplify]: Extracting #6: cost 221 inf + 2045
583.421 * * [simplify]: Extracting #7: cost 190 inf + 9375
583.426 * * [simplify]: Extracting #8: cost 108 inf + 31331
583.443 * * [simplify]: Extracting #9: cost 22 inf + 80414
583.461 * * [simplify]: Extracting #10: cost 0 inf + 101269
583.481 * * [simplify]: Extracting #11: cost 0 inf + 101069
583.500 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))))
583.500 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
583.500 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
583.500 * * [simplify]: iters left: 6 (22 enodes)
583.505 * * [simplify]: iters left: 5 (100 enodes)
583.523 * * [simplify]: iters left: 4 (256 enodes)
583.596 * * [simplify]: Extracting #0: cost 1 inf + 0
583.596 * * [simplify]: Extracting #1: cost 3 inf + 0
583.596 * * [simplify]: Extracting #2: cost 28 inf + 0
583.597 * * [simplify]: Extracting #3: cost 105 inf + 0
583.597 * * [simplify]: Extracting #4: cost 171 inf + 372
583.598 * * [simplify]: Extracting #5: cost 189 inf + 1112
583.601 * * [simplify]: Extracting #6: cost 125 inf + 18131
583.613 * * [simplify]: Extracting #7: cost 7 inf + 58866
583.628 * * [simplify]: Extracting #8: cost 0 inf + 61327
583.642 * * [simplify]: Extracting #9: cost 0 inf + 61287
583.657 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))
583.657 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
583.658 * * * * [progress]: [ 887 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
583.658 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
583.658 * * [simplify]: iters left: 6 (43 enodes)
583.671 * * [simplify]: iters left: 5 (202 enodes)
583.709 * * [simplify]: Extracting #0: cost 1 inf + 0
583.709 * * [simplify]: Extracting #1: cost 3 inf + 0
583.709 * * [simplify]: Extracting #2: cost 10 inf + 0
583.710 * * [simplify]: Extracting #3: cost 64 inf + 0
583.710 * * [simplify]: Extracting #4: cost 107 inf + 44
583.710 * * [simplify]: Extracting #5: cost 133 inf + 983
583.711 * * [simplify]: Extracting #6: cost 187 inf + 2772
583.712 * * [simplify]: Extracting #7: cost 177 inf + 5909
583.715 * * [simplify]: Extracting #8: cost 109 inf + 19426
583.721 * * [simplify]: Extracting #9: cost 60 inf + 38914
583.730 * * [simplify]: Extracting #10: cost 27 inf + 54939
583.747 * * [simplify]: Extracting #11: cost 3 inf + 77193
583.762 * * [simplify]: Extracting #12: cost 1 inf + 80403
583.778 * * [simplify]: Extracting #13: cost 0 inf + 82028
583.793 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))
583.793 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
583.793 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
583.794 * * [simplify]: iters left: 6 (18 enodes)
583.797 * * [simplify]: iters left: 5 (82 enodes)
583.811 * * [simplify]: iters left: 4 (199 enodes)
583.858 * * [simplify]: iters left: 3 (493 enodes)
584.367 * * [simplify]: Extracting #0: cost 1 inf + 0
584.367 * * [simplify]: Extracting #1: cost 3 inf + 0
584.368 * * [simplify]: Extracting #2: cost 32 inf + 0
584.368 * * [simplify]: Extracting #3: cost 67 inf + 0
584.369 * * [simplify]: Extracting #4: cost 102 inf + 44
584.369 * * [simplify]: Extracting #5: cost 171 inf + 130
584.371 * * [simplify]: Extracting #6: cost 127 inf + 9078
584.377 * * [simplify]: Extracting #7: cost 29 inf + 32760
584.387 * * [simplify]: Extracting #8: cost 1 inf + 40742
584.400 * * [simplify]: Extracting #9: cost 0 inf + 41306
584.410 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))
584.410 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))))
584.410 * * * * [progress]: [ 888 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
584.411 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
584.411 * * [simplify]: iters left: 6 (48 enodes)
584.423 * * [simplify]: iters left: 5 (230 enodes)
584.472 * * [simplify]: Extracting #0: cost 1 inf + 0
584.472 * * [simplify]: Extracting #1: cost 3 inf + 0
584.472 * * [simplify]: Extracting #2: cost 10 inf + 0
584.472 * * [simplify]: Extracting #3: cost 72 inf + 0
584.473 * * [simplify]: Extracting #4: cost 126 inf + 42
584.473 * * [simplify]: Extracting #5: cost 166 inf + 290
584.474 * * [simplify]: Extracting #6: cost 216 inf + 3333
584.476 * * [simplify]: Extracting #7: cost 189 inf + 9496
584.480 * * [simplify]: Extracting #8: cost 106 inf + 31836
584.493 * * [simplify]: Extracting #9: cost 22 inf + 81534
584.511 * * [simplify]: Extracting #10: cost 0 inf + 102229
584.533 * * [simplify]: Extracting #11: cost 0 inf + 102029
584.555 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))))
584.555 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
584.556 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
584.556 * * [simplify]: iters left: 6 (22 enodes)
584.561 * * [simplify]: iters left: 5 (100 enodes)
584.580 * * [simplify]: iters left: 4 (256 enodes)
584.652 * * [simplify]: Extracting #0: cost 1 inf + 0
584.652 * * [simplify]: Extracting #1: cost 3 inf + 0
584.652 * * [simplify]: Extracting #2: cost 28 inf + 0
584.653 * * [simplify]: Extracting #3: cost 105 inf + 0
584.653 * * [simplify]: Extracting #4: cost 171 inf + 372
584.654 * * [simplify]: Extracting #5: cost 189 inf + 1112
584.657 * * [simplify]: Extracting #6: cost 125 inf + 18131
584.669 * * [simplify]: Extracting #7: cost 7 inf + 58866
584.684 * * [simplify]: Extracting #8: cost 0 inf + 61327
584.700 * * [simplify]: Extracting #9: cost 0 inf + 61287
584.715 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))
584.715 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
584.716 * * * * [progress]: [ 889 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
584.716 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
584.716 * * [simplify]: iters left: 6 (43 enodes)
584.727 * * [simplify]: iters left: 5 (202 enodes)
584.766 * * [simplify]: Extracting #0: cost 1 inf + 0
584.766 * * [simplify]: Extracting #1: cost 3 inf + 0
584.766 * * [simplify]: Extracting #2: cost 10 inf + 0
584.766 * * [simplify]: Extracting #3: cost 63 inf + 0
584.766 * * [simplify]: Extracting #4: cost 107 inf + 44
584.767 * * [simplify]: Extracting #5: cost 136 inf + 537
584.767 * * [simplify]: Extracting #6: cost 188 inf + 2610
584.769 * * [simplify]: Extracting #7: cost 174 inf + 6194
584.774 * * [simplify]: Extracting #8: cost 108 inf + 20205
584.780 * * [simplify]: Extracting #9: cost 58 inf + 40142
584.789 * * [simplify]: Extracting #10: cost 27 inf + 55259
584.802 * * [simplify]: Extracting #11: cost 3 inf + 77513
584.818 * * [simplify]: Extracting #12: cost 0 inf + 82348
584.833 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))
584.833 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
584.834 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
584.834 * * [simplify]: iters left: 6 (18 enodes)
584.839 * * [simplify]: iters left: 5 (82 enodes)
584.854 * * [simplify]: iters left: 4 (199 enodes)
584.900 * * [simplify]: iters left: 3 (493 enodes)
585.019 * * [simplify]: Extracting #0: cost 1 inf + 0
585.019 * * [simplify]: Extracting #1: cost 3 inf + 0
585.019 * * [simplify]: Extracting #2: cost 32 inf + 0
585.019 * * [simplify]: Extracting #3: cost 67 inf + 0
585.019 * * [simplify]: Extracting #4: cost 102 inf + 44
585.020 * * [simplify]: Extracting #5: cost 171 inf + 130
585.021 * * [simplify]: Extracting #6: cost 127 inf + 9078
585.028 * * [simplify]: Extracting #7: cost 29 inf + 32760
585.040 * * [simplify]: Extracting #8: cost 1 inf + 40742
585.050 * * [simplify]: Extracting #9: cost 0 inf + 41306
585.060 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))
585.060 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))))
585.060 * * * * [progress]: [ 890 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
585.060 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
585.061 * * [simplify]: iters left: 6 (51 enodes)
585.074 * * [simplify]: iters left: 5 (243 enodes)
585.127 * * [simplify]: Extracting #0: cost 1 inf + 0
585.127 * * [simplify]: Extracting #1: cost 3 inf + 0
585.127 * * [simplify]: Extracting #2: cost 6 inf + 0
585.127 * * [simplify]: Extracting #3: cost 56 inf + 0
585.127 * * [simplify]: Extracting #4: cost 130 inf + 0
585.128 * * [simplify]: Extracting #5: cost 207 inf + 0
585.129 * * [simplify]: Extracting #6: cost 271 inf + 1539
585.130 * * [simplify]: Extracting #7: cost 203 inf + 13557
585.136 * * [simplify]: Extracting #8: cost 119 inf + 40242
585.146 * * [simplify]: Extracting #9: cost 60 inf + 62025
585.166 * * [simplify]: Extracting #10: cost 8 inf + 111725
585.189 * * [simplify]: Extracting #11: cost 1 inf + 120980
585.215 * * [simplify]: Extracting #12: cost 0 inf + 123005
585.239 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
585.239 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
585.239 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
585.240 * * [simplify]: iters left: 6 (24 enodes)
585.245 * * [simplify]: iters left: 5 (108 enodes)
585.265 * * [simplify]: iters left: 4 (322 enodes)
585.405 * * [simplify]: Extracting #0: cost 1 inf + 0
585.405 * * [simplify]: Extracting #1: cost 3 inf + 0
585.405 * * [simplify]: Extracting #2: cost 43 inf + 0
585.405 * * [simplify]: Extracting #3: cost 311 inf + 0
585.407 * * [simplify]: Extracting #4: cost 482 inf + 85
585.417 * * [simplify]: Extracting #5: cost 330 inf + 66490
585.460 * * [simplify]: Extracting #6: cost 25 inf + 210342
585.511 * * [simplify]: Extracting #7: cost 0 inf + 210628
585.559 * * [simplify]: Extracting #8: cost 0 inf + 209988
585.607 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))
585.607 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))))
585.608 * * * * [progress]: [ 891 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
585.608 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
585.608 * * [simplify]: iters left: 6 (52 enodes)
585.622 * * [simplify]: iters left: 5 (252 enodes)
585.678 * * [simplify]: Extracting #0: cost 1 inf + 0
585.678 * * [simplify]: Extracting #1: cost 3 inf + 0
585.678 * * [simplify]: Extracting #2: cost 6 inf + 0
585.678 * * [simplify]: Extracting #3: cost 60 inf + 0
585.678 * * [simplify]: Extracting #4: cost 153 inf + 0
585.679 * * [simplify]: Extracting #5: cost 221 inf + 44
585.680 * * [simplify]: Extracting #6: cost 248 inf + 5098
585.683 * * [simplify]: Extracting #7: cost 185 inf + 16956
585.691 * * [simplify]: Extracting #8: cost 103 inf + 48250
585.702 * * [simplify]: Extracting #9: cost 50 inf + 71492
585.722 * * [simplify]: Extracting #10: cost 6 inf + 118712
585.749 * * [simplify]: Extracting #11: cost 1 inf + 124997
585.774 * * [simplify]: Extracting #12: cost 0 inf + 127142
585.800 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
585.800 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
585.801 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
585.801 * * [simplify]: iters left: 6 (25 enodes)
585.806 * * [simplify]: iters left: 5 (112 enodes)
585.828 * * [simplify]: iters left: 4 (319 enodes)
585.958 * * [simplify]: Extracting #0: cost 1 inf + 0
585.958 * * [simplify]: Extracting #1: cost 3 inf + 0
585.958 * * [simplify]: Extracting #2: cost 69 inf + 0
585.959 * * [simplify]: Extracting #3: cost 328 inf + 0
585.960 * * [simplify]: Extracting #4: cost 430 inf + 290
585.971 * * [simplify]: Extracting #5: cost 264 inf + 75617
586.009 * * [simplify]: Extracting #6: cost 10 inf + 195512
586.052 * * [simplify]: Extracting #7: cost 0 inf + 191109
586.092 * * [simplify]: Extracting #8: cost 0 inf + 190789
586.133 * [simplify]: Simplified to (sqrt (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))
586.133 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))))
586.134 * * * * [progress]: [ 892 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
586.134 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
586.135 * * [simplify]: iters left: 6 (52 enodes)
586.149 * * [simplify]: iters left: 5 (252 enodes)
586.200 * * [simplify]: Extracting #0: cost 1 inf + 0
586.200 * * [simplify]: Extracting #1: cost 3 inf + 0
586.200 * * [simplify]: Extracting #2: cost 6 inf + 0
586.200 * * [simplify]: Extracting #3: cost 62 inf + 0
586.201 * * [simplify]: Extracting #4: cost 151 inf + 0
586.201 * * [simplify]: Extracting #5: cost 217 inf + 44
586.203 * * [simplify]: Extracting #6: cost 240 inf + 6704
586.208 * * [simplify]: Extracting #7: cost 184 inf + 16508
586.215 * * [simplify]: Extracting #8: cost 105 inf + 45433
586.226 * * [simplify]: Extracting #9: cost 49 inf + 71349
586.245 * * [simplify]: Extracting #10: cost 6 inf + 115544
586.268 * * [simplify]: Extracting #11: cost 1 inf + 121309
586.291 * * [simplify]: Extracting #12: cost 0 inf + 123414
586.316 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))
586.316 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
586.316 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
586.317 * * [simplify]: iters left: 6 (25 enodes)
586.322 * * [simplify]: iters left: 5 (112 enodes)
586.342 * * [simplify]: iters left: 4 (317 enodes)
586.467 * * [simplify]: Extracting #0: cost 1 inf + 0
586.467 * * [simplify]: Extracting #1: cost 3 inf + 0
586.467 * * [simplify]: Extracting #2: cost 61 inf + 0
586.468 * * [simplify]: Extracting #3: cost 297 inf + 0
586.469 * * [simplify]: Extracting #4: cost 378 inf + 292
586.478 * * [simplify]: Extracting #5: cost 245 inf + 57388
586.513 * * [simplify]: Extracting #6: cost 12 inf + 165798
586.549 * * [simplify]: Extracting #7: cost 0 inf + 163077
586.584 * * [simplify]: Extracting #8: cost 0 inf + 162517
586.620 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))
586.620 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))
586.621 * * * * [progress]: [ 893 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
586.621 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
586.621 * * [simplify]: iters left: 6 (46 enodes)
586.633 * * [simplify]: iters left: 5 (216 enodes)
586.677 * * [simplify]: Extracting #0: cost 1 inf + 0
586.677 * * [simplify]: Extracting #1: cost 3 inf + 0
586.677 * * [simplify]: Extracting #2: cost 6 inf + 0
586.677 * * [simplify]: Extracting #3: cost 54 inf + 0
586.677 * * [simplify]: Extracting #4: cost 119 inf + 0
586.678 * * [simplify]: Extracting #5: cost 164 inf + 86
586.679 * * [simplify]: Extracting #6: cost 221 inf + 1235
586.680 * * [simplify]: Extracting #7: cost 208 inf + 3478
586.683 * * [simplify]: Extracting #8: cost 134 inf + 22052
586.691 * * [simplify]: Extracting #9: cost 55 inf + 54385
586.708 * * [simplify]: Extracting #10: cost 11 inf + 90904
586.729 * * [simplify]: Extracting #11: cost 0 inf + 101473
586.749 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ phi2 phi1))))))
586.749 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
586.750 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
586.750 * * [simplify]: iters left: 6 (20 enodes)
586.754 * * [simplify]: iters left: 5 (90 enodes)
586.772 * * [simplify]: iters left: 4 (247 enodes)
586.843 * * [simplify]: Extracting #0: cost 1 inf + 0
586.843 * * [simplify]: Extracting #1: cost 3 inf + 0
586.843 * * [simplify]: Extracting #2: cost 36 inf + 0
586.843 * * [simplify]: Extracting #3: cost 168 inf + 0
586.844 * * [simplify]: Extracting #4: cost 228 inf + 44
586.847 * * [simplify]: Extracting #5: cost 171 inf + 23749
586.860 * * [simplify]: Extracting #6: cost 28 inf + 78698
586.878 * * [simplify]: Extracting #7: cost 0 inf + 83743
586.898 * * [simplify]: Extracting #8: cost 0 inf + 82543
586.916 * [simplify]: Simplified to (sqrt (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))
586.916 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))))
586.916 * * * * [progress]: [ 894 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
586.916 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
586.917 * * [simplify]: iters left: 6 (51 enodes)
586.930 * * [simplify]: iters left: 5 (244 enodes)
586.981 * * [simplify]: Extracting #0: cost 1 inf + 0
586.981 * * [simplify]: Extracting #1: cost 3 inf + 0
586.981 * * [simplify]: Extracting #2: cost 10 inf + 0
586.981 * * [simplify]: Extracting #3: cost 74 inf + 0
586.981 * * [simplify]: Extracting #4: cost 137 inf + 1
586.982 * * [simplify]: Extracting #5: cost 186 inf + 249
586.983 * * [simplify]: Extracting #6: cost 239 inf + 2172
586.985 * * [simplify]: Extracting #7: cost 189 inf + 11288
586.989 * * [simplify]: Extracting #8: cost 136 inf + 30004
586.996 * * [simplify]: Extracting #9: cost 92 inf + 46954
587.006 * * [simplify]: Extracting #10: cost 48 inf + 66444
587.023 * * [simplify]: Extracting #11: cost 10 inf + 103114
587.047 * * [simplify]: Extracting #12: cost 0 inf + 116964
587.073 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))))
587.074 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
587.074 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
587.074 * * [simplify]: iters left: 6 (23 enodes)
587.079 * * [simplify]: iters left: 5 (103 enodes)
587.097 * * [simplify]: iters left: 4 (264 enodes)
587.172 * * [simplify]: Extracting #0: cost 1 inf + 0
587.172 * * [simplify]: Extracting #1: cost 3 inf + 0
587.172 * * [simplify]: Extracting #2: cost 33 inf + 0
587.173 * * [simplify]: Extracting #3: cost 142 inf + 0
587.173 * * [simplify]: Extracting #4: cost 219 inf + 371
587.177 * * [simplify]: Extracting #5: cost 173 inf + 24934
587.194 * * [simplify]: Extracting #6: cost 20 inf + 85271
587.217 * * [simplify]: Extracting #7: cost 0 inf + 88905
587.237 * * [simplify]: Extracting #8: cost 0 inf + 87745
587.256 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))
587.256 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- phi1 phi2) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))) (sqrt (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))
587.257 * * * * [progress]: [ 895 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
587.257 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
587.257 * * [simplify]: iters left: 6 (46 enodes)
587.269 * * [simplify]: iters left: 5 (216 enodes)
587.312 * * [simplify]: Extracting #0: cost 1 inf + 0
587.312 * * [simplify]: Extracting #1: cost 3 inf + 0
587.312 * * [simplify]: Extracting #2: cost 10 inf + 0
587.312 * * [simplify]: Extracting #3: cost 66 inf + 0
587.312 * * [simplify]: Extracting #4: cost 117 inf + 44
587.313 * * [simplify]: Extracting #5: cost 154 inf + 618
587.314 * * [simplify]: Extracting #6: cost 209 inf + 2814
587.315 * * [simplify]: Extracting #7: cost 188 inf + 5873
587.319 * * [simplify]: Extracting #8: cost 115 inf + 24888
587.327 * * [simplify]: Extracting #9: cost 61 inf + 48795
587.342 * * [simplify]: Extracting #10: cost 12 inf + 85169
587.363 * * [simplify]: Extracting #11: cost 0 inf + 97403
587.381 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
587.382 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
587.382 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
587.382 * * [simplify]: iters left: 6 (19 enodes)
587.386 * * [simplify]: iters left: 5 (85 enodes)
587.401 * * [simplify]: iters left: 4 (207 enodes)
587.449 * * [simplify]: Extracting #0: cost 1 inf + 0
587.449 * * [simplify]: Extracting #1: cost 3 inf + 0
587.449 * * [simplify]: Extracting #2: cost 23 inf + 0
587.449 * * [simplify]: Extracting #3: cost 69 inf + 0
587.450 * * [simplify]: Extracting #4: cost 112 inf + 44
587.450 * * [simplify]: Extracting #5: cost 128 inf + 1546
587.454 * * [simplify]: Extracting #6: cost 52 inf + 22363
587.464 * * [simplify]: Extracting #7: cost 1 inf + 41708
587.473 * * [simplify]: Extracting #8: cost 0 inf + 37950
587.482 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
587.482 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))))
587.482 * * * * [progress]: [ 896 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
587.483 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
587.483 * * [simplify]: iters left: 6 (51 enodes)
587.496 * * [simplify]: iters left: 5 (244 enodes)
587.548 * * [simplify]: Extracting #0: cost 1 inf + 0
587.548 * * [simplify]: Extracting #1: cost 3 inf + 0
587.548 * * [simplify]: Extracting #2: cost 10 inf + 0
587.548 * * [simplify]: Extracting #3: cost 74 inf + 0
587.549 * * [simplify]: Extracting #4: cost 137 inf + 1
587.549 * * [simplify]: Extracting #5: cost 187 inf + 207
587.550 * * [simplify]: Extracting #6: cost 240 inf + 2332
587.552 * * [simplify]: Extracting #7: cost 183 inf + 12619
587.557 * * [simplify]: Extracting #8: cost 137 inf + 29912
587.564 * * [simplify]: Extracting #9: cost 92 inf + 47834
587.574 * * [simplify]: Extracting #10: cost 48 inf + 67404
587.594 * * [simplify]: Extracting #11: cost 10 inf + 104074
587.618 * * [simplify]: Extracting #12: cost 0 inf + 117924
587.642 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))
587.642 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
587.643 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
587.643 * * [simplify]: iters left: 6 (23 enodes)
587.648 * * [simplify]: iters left: 5 (103 enodes)
587.668 * * [simplify]: iters left: 4 (264 enodes)
587.745 * * [simplify]: Extracting #0: cost 1 inf + 0
587.745 * * [simplify]: Extracting #1: cost 3 inf + 0
587.745 * * [simplify]: Extracting #2: cost 33 inf + 0
587.746 * * [simplify]: Extracting #3: cost 142 inf + 0
587.746 * * [simplify]: Extracting #4: cost 219 inf + 371
587.750 * * [simplify]: Extracting #5: cost 173 inf + 24934
587.768 * * [simplify]: Extracting #6: cost 20 inf + 85271
587.789 * * [simplify]: Extracting #7: cost 0 inf + 88905
587.809 * * [simplify]: Extracting #8: cost 0 inf + 87745
587.831 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))
587.831 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (sqrt (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))))))
587.831 * * * * [progress]: [ 897 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))>
587.832 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
587.833 * * [simplify]: iters left: 6 (46 enodes)
587.845 * * [simplify]: iters left: 5 (216 enodes)
587.888 * * [simplify]: Extracting #0: cost 1 inf + 0
587.888 * * [simplify]: Extracting #1: cost 3 inf + 0
587.888 * * [simplify]: Extracting #2: cost 10 inf + 0
587.888 * * [simplify]: Extracting #3: cost 65 inf + 0
587.888 * * [simplify]: Extracting #4: cost 117 inf + 44
587.889 * * [simplify]: Extracting #5: cost 151 inf + 904
587.890 * * [simplify]: Extracting #6: cost 208 inf + 2976
587.891 * * [simplify]: Extracting #7: cost 190 inf + 5671
587.895 * * [simplify]: Extracting #8: cost 108 inf + 30132
587.906 * * [simplify]: Extracting #9: cost 50 inf + 56356
587.920 * * [simplify]: Extracting #10: cost 12 inf + 85609
587.940 * * [simplify]: Extracting #11: cost 0 inf + 97803
587.959 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))))))
587.959 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))))))
587.960 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))
587.960 * * [simplify]: iters left: 6 (19 enodes)
587.965 * * [simplify]: iters left: 5 (85 enodes)
587.981 * * [simplify]: iters left: 4 (207 enodes)
588.030 * * [simplify]: Extracting #0: cost 1 inf + 0
588.030 * * [simplify]: Extracting #1: cost 3 inf + 0
588.030 * * [simplify]: Extracting #2: cost 23 inf + 0
588.030 * * [simplify]: Extracting #3: cost 69 inf + 0
588.031 * * [simplify]: Extracting #4: cost 112 inf + 44
588.031 * * [simplify]: Extracting #5: cost 128 inf + 1546
588.035 * * [simplify]: Extracting #6: cost 52 inf + 22363
588.044 * * [simplify]: Extracting #7: cost 1 inf + 41708
588.053 * * [simplify]: Extracting #8: cost 0 inf + 37950
588.063 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
588.064 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))))
588.064 * * * * [progress]: [ 898 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
588.064 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
588.065 * * [simplify]: iters left: 6 (50 enodes)
588.078 * * [simplify]: iters left: 5 (238 enodes)
588.128 * * [simplify]: Extracting #0: cost 1 inf + 0
588.128 * * [simplify]: Extracting #1: cost 3 inf + 0
588.128 * * [simplify]: Extracting #2: cost 6 inf + 0
588.128 * * [simplify]: Extracting #3: cost 57 inf + 0
588.128 * * [simplify]: Extracting #4: cost 128 inf + 0
588.132 * * [simplify]: Extracting #5: cost 195 inf + 0
588.132 * * [simplify]: Extracting #6: cost 260 inf + 3439
588.134 * * [simplify]: Extracting #7: cost 209 inf + 13567
588.138 * * [simplify]: Extracting #8: cost 130 inf + 29592
588.148 * * [simplify]: Extracting #9: cost 57 inf + 60768
588.166 * * [simplify]: Extracting #10: cost 3 inf + 109777
588.189 * * [simplify]: Extracting #11: cost 0 inf + 112772
588.210 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (+ lambda2 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))))
588.211 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (+ lambda2 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
588.211 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
588.211 * * [simplify]: iters left: 6 (23 enodes)
588.217 * * [simplify]: iters left: 5 (105 enodes)
588.239 * * [simplify]: iters left: 4 (314 enodes)
588.376 * * [simplify]: Extracting #0: cost 1 inf + 0
588.377 * * [simplify]: Extracting #1: cost 3 inf + 0
588.377 * * [simplify]: Extracting #2: cost 37 inf + 0
588.377 * * [simplify]: Extracting #3: cost 277 inf + 0
588.379 * * [simplify]: Extracting #4: cost 430 inf + 124
588.381 * * [simplify]: Extracting #5: cost 403 inf + 7931
588.397 * * [simplify]: Extracting #6: cost 166 inf + 90279
588.437 * * [simplify]: Extracting #7: cost 5 inf + 163721
588.475 * * [simplify]: Extracting #8: cost 0 inf + 165617
588.512 * * [simplify]: Extracting #9: cost 0 inf + 165577
588.556 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))
588.556 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (+ lambda2 lambda1)) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))))) (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))
588.557 * * * * [progress]: [ 899 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
588.557 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
588.558 * * [simplify]: iters left: 6 (51 enodes)
588.571 * * [simplify]: iters left: 5 (247 enodes)
588.623 * * [simplify]: Extracting #0: cost 1 inf + 0
588.623 * * [simplify]: Extracting #1: cost 3 inf + 0
588.623 * * [simplify]: Extracting #2: cost 6 inf + 0
588.623 * * [simplify]: Extracting #3: cost 61 inf + 0
588.624 * * [simplify]: Extracting #4: cost 151 inf + 0
588.624 * * [simplify]: Extracting #5: cost 208 inf + 86
588.625 * * [simplify]: Extracting #6: cost 244 inf + 4807
588.628 * * [simplify]: Extracting #7: cost 198 inf + 15383
588.632 * * [simplify]: Extracting #8: cost 143 inf + 27570
588.640 * * [simplify]: Extracting #9: cost 98 inf + 47291
588.649 * * [simplify]: Extracting #10: cost 59 inf + 61394
588.662 * * [simplify]: Extracting #11: cost 30 inf + 83399
588.685 * * [simplify]: Extracting #12: cost 2 inf + 115339
588.707 * * [simplify]: Extracting #13: cost 0 inf + 118269
588.729 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))))
588.729 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
588.730 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
588.730 * * [simplify]: iters left: 6 (24 enodes)
588.735 * * [simplify]: iters left: 5 (109 enodes)
588.755 * * [simplify]: iters left: 4 (311 enodes)
588.880 * * [simplify]: Extracting #0: cost 1 inf + 0
588.880 * * [simplify]: Extracting #1: cost 3 inf + 0
588.880 * * [simplify]: Extracting #2: cost 61 inf + 0
588.881 * * [simplify]: Extracting #3: cost 291 inf + 0
588.882 * * [simplify]: Extracting #4: cost 370 inf + 332
588.886 * * [simplify]: Extracting #5: cost 305 inf + 19591
588.906 * * [simplify]: Extracting #6: cost 91 inf + 103946
588.936 * * [simplify]: Extracting #7: cost 3 inf + 141583
588.969 * * [simplify]: Extracting #8: cost 0 inf + 143073
589.001 * [simplify]: Simplified to (sqrt (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))))
589.001 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))))) (sqrt (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))))
589.002 * * * * [progress]: [ 900 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
589.002 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
589.002 * * [simplify]: iters left: 6 (51 enodes)
589.015 * * [simplify]: iters left: 5 (247 enodes)
589.067 * * [simplify]: Extracting #0: cost 1 inf + 0
589.068 * * [simplify]: Extracting #1: cost 3 inf + 0
589.068 * * [simplify]: Extracting #2: cost 6 inf + 0
589.068 * * [simplify]: Extracting #3: cost 63 inf + 0
589.068 * * [simplify]: Extracting #4: cost 149 inf + 0
589.069 * * [simplify]: Extracting #5: cost 205 inf + 44
589.070 * * [simplify]: Extracting #6: cost 241 inf + 4445
589.072 * * [simplify]: Extracting #7: cost 201 inf + 13464
589.077 * * [simplify]: Extracting #8: cost 115 inf + 37470
589.089 * * [simplify]: Extracting #9: cost 34 inf + 77891
589.108 * * [simplify]: Extracting #10: cost 5 inf + 106776
589.132 * * [simplify]: Extracting #11: cost 0 inf + 113501
589.154 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
589.154 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
589.155 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
589.155 * * [simplify]: iters left: 6 (24 enodes)
589.161 * * [simplify]: iters left: 5 (109 enodes)
589.183 * * [simplify]: iters left: 4 (309 enodes)
589.300 * * [simplify]: Extracting #0: cost 1 inf + 0
589.300 * * [simplify]: Extracting #1: cost 3 inf + 0
589.300 * * [simplify]: Extracting #2: cost 55 inf + 0
589.301 * * [simplify]: Extracting #3: cost 272 inf + 0
589.302 * * [simplify]: Extracting #4: cost 342 inf + 412
589.306 * * [simplify]: Extracting #5: cost 279 inf + 16996
589.324 * * [simplify]: Extracting #6: cost 85 inf + 88930
589.351 * * [simplify]: Extracting #7: cost 5 inf + 126393
589.379 * * [simplify]: Extracting #8: cost 0 inf + 129453
589.408 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) (cbrt (+ lambda1 lambda2))))
589.408 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) (cbrt (+ lambda1 lambda2)))))))
589.409 * * * * [progress]: [ 901 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
589.409 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
589.410 * * [simplify]: iters left: 6 (45 enodes)
589.421 * * [simplify]: iters left: 5 (211 enodes)
589.462 * * [simplify]: Extracting #0: cost 1 inf + 0
589.462 * * [simplify]: Extracting #1: cost 3 inf + 0
589.462 * * [simplify]: Extracting #2: cost 6 inf + 0
589.462 * * [simplify]: Extracting #3: cost 55 inf + 0
589.463 * * [simplify]: Extracting #4: cost 117 inf + 0
589.463 * * [simplify]: Extracting #5: cost 153 inf + 44
589.463 * * [simplify]: Extracting #6: cost 215 inf + 830
589.465 * * [simplify]: Extracting #7: cost 198 inf + 4209
589.470 * * [simplify]: Extracting #8: cost 119 inf + 23578
589.484 * * [simplify]: Extracting #9: cost 20 inf + 81406
589.504 * * [simplify]: Extracting #10: cost 0 inf + 91120
589.523 * * [simplify]: Extracting #11: cost 0 inf + 90600
589.541 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2)))))))
589.541 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (cbrt (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2))) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
589.542 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))
589.542 * * [simplify]: iters left: 6 (19 enodes)
589.547 * * [simplify]: iters left: 5 (87 enodes)
589.562 * * [simplify]: iters left: 4 (239 enodes)
589.630 * * [simplify]: Extracting #0: cost 1 inf + 0
589.630 * * [simplify]: Extracting #1: cost 3 inf + 0
589.630 * * [simplify]: Extracting #2: cost 29 inf + 0
589.630 * * [simplify]: Extracting #3: cost 137 inf + 0
589.631 * * [simplify]: Extracting #4: cost 181 inf + 167
589.632 * * [simplify]: Extracting #5: cost 168 inf + 5819
589.636 * * [simplify]: Extracting #6: cost 91 inf + 26385
589.648 * * [simplify]: Extracting #7: cost 3 inf + 57519
589.661 * * [simplify]: Extracting #8: cost 0 inf + 58367
589.674 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))
589.675 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))))
589.675 * * * * [progress]: [ 902 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
589.675 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
589.676 * * [simplify]: iters left: 6 (50 enodes)
589.688 * * [simplify]: iters left: 5 (239 enodes)
589.738 * * [simplify]: Extracting #0: cost 1 inf + 0
589.738 * * [simplify]: Extracting #1: cost 3 inf + 0
589.739 * * [simplify]: Extracting #2: cost 10 inf + 0
589.739 * * [simplify]: Extracting #3: cost 75 inf + 0
589.739 * * [simplify]: Extracting #4: cost 142 inf + 1
589.739 * * [simplify]: Extracting #5: cost 182 inf + 207
589.740 * * [simplify]: Extracting #6: cost 238 inf + 2373
589.742 * * [simplify]: Extracting #7: cost 205 inf + 10631
589.746 * * [simplify]: Extracting #8: cost 132 inf + 26897
589.753 * * [simplify]: Extracting #9: cost 78 inf + 48834
589.764 * * [simplify]: Extracting #10: cost 32 inf + 76306
589.786 * * [simplify]: Extracting #11: cost 4 inf + 106806
589.808 * * [simplify]: Extracting #12: cost 1 inf + 111521
589.831 * * [simplify]: Extracting #13: cost 0 inf + 113386
589.852 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
589.853 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
589.853 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
589.853 * * [simplify]: iters left: 6 (22 enodes)
589.858 * * [simplify]: iters left: 5 (100 enodes)
589.877 * * [simplify]: iters left: 4 (256 enodes)
589.949 * * [simplify]: Extracting #0: cost 1 inf + 0
589.949 * * [simplify]: Extracting #1: cost 3 inf + 0
589.949 * * [simplify]: Extracting #2: cost 28 inf + 0
589.949 * * [simplify]: Extracting #3: cost 105 inf + 0
589.950 * * [simplify]: Extracting #4: cost 171 inf + 372
589.951 * * [simplify]: Extracting #5: cost 189 inf + 1112
589.954 * * [simplify]: Extracting #6: cost 125 inf + 18131
589.966 * * [simplify]: Extracting #7: cost 7 inf + 58866
589.980 * * [simplify]: Extracting #8: cost 0 inf + 61327
589.995 * * [simplify]: Extracting #9: cost 0 inf + 61287
590.011 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))
590.011 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- phi1 phi2)) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
590.012 * * * * [progress]: [ 903 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
590.012 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
590.013 * * [simplify]: iters left: 6 (45 enodes)
590.024 * * [simplify]: iters left: 5 (211 enodes)
590.064 * * [simplify]: Extracting #0: cost 1 inf + 0
590.064 * * [simplify]: Extracting #1: cost 3 inf + 0
590.064 * * [simplify]: Extracting #2: cost 10 inf + 0
590.064 * * [simplify]: Extracting #3: cost 67 inf + 0
590.065 * * [simplify]: Extracting #4: cost 122 inf + 44
590.065 * * [simplify]: Extracting #5: cost 149 inf + 619
590.066 * * [simplify]: Extracting #6: cost 205 inf + 2976
590.067 * * [simplify]: Extracting #7: cost 189 inf + 6360
590.071 * * [simplify]: Extracting #8: cost 111 inf + 30119
590.084 * * [simplify]: Extracting #9: cost 28 inf + 70751
590.101 * * [simplify]: Extracting #10: cost 4 inf + 87271
590.119 * * [simplify]: Extracting #11: cost 0 inf + 90705
590.138 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))))
590.138 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
590.138 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
590.138 * * [simplify]: iters left: 6 (18 enodes)
590.142 * * [simplify]: iters left: 5 (82 enodes)
590.157 * * [simplify]: iters left: 4 (199 enodes)
590.204 * * [simplify]: iters left: 3 (493 enodes)
590.323 * * [simplify]: Extracting #0: cost 1 inf + 0
590.323 * * [simplify]: Extracting #1: cost 3 inf + 0
590.323 * * [simplify]: Extracting #2: cost 32 inf + 0
590.323 * * [simplify]: Extracting #3: cost 67 inf + 0
590.323 * * [simplify]: Extracting #4: cost 102 inf + 44
590.324 * * [simplify]: Extracting #5: cost 171 inf + 130
590.326 * * [simplify]: Extracting #6: cost 127 inf + 9078
590.332 * * [simplify]: Extracting #7: cost 29 inf + 32760
590.342 * * [simplify]: Extracting #8: cost 1 inf + 40742
590.354 * * [simplify]: Extracting #9: cost 0 inf + 41306
590.364 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))
590.364 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))))
590.364 * * * * [progress]: [ 904 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
590.364 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
590.365 * * [simplify]: iters left: 6 (50 enodes)
590.377 * * [simplify]: iters left: 5 (239 enodes)
590.430 * * [simplify]: Extracting #0: cost 1 inf + 0
590.430 * * [simplify]: Extracting #1: cost 3 inf + 0
590.430 * * [simplify]: Extracting #2: cost 10 inf + 0
590.430 * * [simplify]: Extracting #3: cost 75 inf + 0
590.430 * * [simplify]: Extracting #4: cost 142 inf + 1
590.431 * * [simplify]: Extracting #5: cost 183 inf + 165
590.432 * * [simplify]: Extracting #6: cost 236 inf + 2898
590.434 * * [simplify]: Extracting #7: cost 200 inf + 12436
590.438 * * [simplify]: Extracting #8: cost 129 inf + 28573
590.448 * * [simplify]: Extracting #9: cost 46 inf + 68435
590.467 * * [simplify]: Extracting #10: cost 4 inf + 105366
590.487 * * [simplify]: Extracting #11: cost 1 inf + 109841
590.509 * * [simplify]: Extracting #12: cost 0 inf + 111626
590.530 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
590.530 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
590.531 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
590.531 * * [simplify]: iters left: 6 (22 enodes)
590.536 * * [simplify]: iters left: 5 (100 enodes)
590.553 * * [simplify]: iters left: 4 (256 enodes)
590.626 * * [simplify]: Extracting #0: cost 1 inf + 0
590.626 * * [simplify]: Extracting #1: cost 3 inf + 0
590.626 * * [simplify]: Extracting #2: cost 28 inf + 0
590.626 * * [simplify]: Extracting #3: cost 105 inf + 0
590.627 * * [simplify]: Extracting #4: cost 171 inf + 372
590.628 * * [simplify]: Extracting #5: cost 189 inf + 1112
590.631 * * [simplify]: Extracting #6: cost 125 inf + 18131
590.643 * * [simplify]: Extracting #7: cost 7 inf + 58866
590.660 * * [simplify]: Extracting #8: cost 0 inf + 61327
590.675 * * [simplify]: Extracting #9: cost 0 inf + 61287
590.689 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))
590.689 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
590.690 * * * * [progress]: [ 905 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))>
590.690 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
590.691 * * [simplify]: iters left: 6 (45 enodes)
590.703 * * [simplify]: iters left: 5 (211 enodes)
590.746 * * [simplify]: Extracting #0: cost 1 inf + 0
590.746 * * [simplify]: Extracting #1: cost 3 inf + 0
590.746 * * [simplify]: Extracting #2: cost 10 inf + 0
590.746 * * [simplify]: Extracting #3: cost 66 inf + 0
590.747 * * [simplify]: Extracting #4: cost 122 inf + 44
590.747 * * [simplify]: Extracting #5: cost 142 inf + 1472
590.748 * * [simplify]: Extracting #6: cost 206 inf + 2934
590.750 * * [simplify]: Extracting #7: cost 190 inf + 6357
590.755 * * [simplify]: Extracting #8: cost 110 inf + 30561
590.767 * * [simplify]: Extracting #9: cost 30 inf + 69983
590.784 * * [simplify]: Extracting #10: cost 4 inf + 87671
590.802 * * [simplify]: Extracting #11: cost 0 inf + 91105
590.822 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))))
590.822 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))))))
590.823 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))
590.823 * * [simplify]: iters left: 6 (18 enodes)
590.827 * * [simplify]: iters left: 5 (82 enodes)
590.842 * * [simplify]: iters left: 4 (199 enodes)
590.890 * * [simplify]: iters left: 3 (493 enodes)
591.012 * * [simplify]: Extracting #0: cost 1 inf + 0
591.012 * * [simplify]: Extracting #1: cost 3 inf + 0
591.012 * * [simplify]: Extracting #2: cost 32 inf + 0
591.012 * * [simplify]: Extracting #3: cost 67 inf + 0
591.012 * * [simplify]: Extracting #4: cost 102 inf + 44
591.013 * * [simplify]: Extracting #5: cost 171 inf + 130
591.015 * * [simplify]: Extracting #6: cost 127 inf + 9078
591.021 * * [simplify]: Extracting #7: cost 29 inf + 32760
591.030 * * [simplify]: Extracting #8: cost 1 inf + 40742
591.041 * * [simplify]: Extracting #9: cost 0 inf + 41306
591.050 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))
591.051 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (- lambda1 lambda2))) (cbrt (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))))
591.051 * * * * [progress]: [ 906 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
591.051 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
591.052 * * [simplify]: iters left: 6 (52 enodes)
591.066 * * [simplify]: iters left: 5 (255 enodes)
591.124 * * [simplify]: Extracting #0: cost 1 inf + 0
591.124 * * [simplify]: Extracting #1: cost 3 inf + 0
591.124 * * [simplify]: Extracting #2: cost 6 inf + 0
591.124 * * [simplify]: Extracting #3: cost 56 inf + 0
591.124 * * [simplify]: Extracting #4: cost 130 inf + 0
591.124 * * [simplify]: Extracting #5: cost 214 inf + 0
591.125 * * [simplify]: Extracting #6: cost 310 inf + 974
591.127 * * [simplify]: Extracting #7: cost 270 inf + 8549
591.131 * * [simplify]: Extracting #8: cost 169 inf + 30016
591.138 * * [simplify]: Extracting #9: cost 108 inf + 46819
591.152 * * [simplify]: Extracting #10: cost 55 inf + 72552
591.171 * * [simplify]: Extracting #11: cost 14 inf + 112335
591.196 * * [simplify]: Extracting #12: cost 1 inf + 127260
591.221 * * [simplify]: Extracting #13: cost 0 inf + 129285
591.246 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))))
591.246 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
591.248 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
591.248 * * [simplify]: iters left: 6 (25 enodes)
591.254 * * [simplify]: iters left: 5 (117 enodes)
591.277 * * [simplify]: iters left: 4 (379 enodes)
591.440 * * [simplify]: Extracting #0: cost 1 inf + 0
591.440 * * [simplify]: Extracting #1: cost 3 inf + 0
591.440 * * [simplify]: Extracting #2: cost 44 inf + 0
591.441 * * [simplify]: Extracting #3: cost 302 inf + 0
591.442 * * [simplify]: Extracting #4: cost 500 inf + 207
591.445 * * [simplify]: Extracting #5: cost 524 inf + 8304
591.468 * * [simplify]: Extracting #6: cost 244 inf + 121205
591.525 * * [simplify]: Extracting #7: cost 13 inf + 236905
591.585 * * [simplify]: Extracting #8: cost 0 inf + 232583
591.644 * * [simplify]: Extracting #9: cost 0 inf + 232303
591.702 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))
591.702 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))))
591.703 * * * * [progress]: [ 907 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
591.703 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
591.704 * * [simplify]: iters left: 6 (53 enodes)
591.718 * * [simplify]: iters left: 5 (264 enodes)
591.776 * * [simplify]: Extracting #0: cost 1 inf + 0
591.776 * * [simplify]: Extracting #1: cost 3 inf + 0
591.776 * * [simplify]: Extracting #2: cost 6 inf + 0
591.776 * * [simplify]: Extracting #3: cost 60 inf + 0
591.777 * * [simplify]: Extracting #4: cost 153 inf + 0
591.777 * * [simplify]: Extracting #5: cost 227 inf + 85
591.779 * * [simplify]: Extracting #6: cost 289 inf + 4599
591.781 * * [simplify]: Extracting #7: cost 250 inf + 12614
591.786 * * [simplify]: Extracting #8: cost 166 inf + 32169
591.799 * * [simplify]: Extracting #9: cost 73 inf + 65851
591.819 * * [simplify]: Extracting #10: cost 18 inf + 113512
591.843 * * [simplify]: Extracting #11: cost 2 inf + 128012
591.869 * * [simplify]: Extracting #12: cost 0 inf + 132302
591.896 * [simplify]: Simplified to (sqrt (+ (+ (* (* phi1 phi1) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (- (* phi2 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
591.896 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (+ (* (* phi1 phi1) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (- (* phi2 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
591.897 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
591.897 * * [simplify]: iters left: 6 (26 enodes)
591.903 * * [simplify]: iters left: 5 (121 enodes)
591.926 * * [simplify]: iters left: 4 (376 enodes)
592.086 * * [simplify]: Extracting #0: cost 1 inf + 0
592.086 * * [simplify]: Extracting #1: cost 3 inf + 0
592.086 * * [simplify]: Extracting #2: cost 68 inf + 0
592.087 * * [simplify]: Extracting #3: cost 321 inf + 0
592.089 * * [simplify]: Extracting #4: cost 449 inf + 370
592.092 * * [simplify]: Extracting #5: cost 477 inf + 9413
592.113 * * [simplify]: Extracting #6: cost 237 inf + 115751
592.165 * * [simplify]: Extracting #7: cost 15 inf + 214290
592.226 * * [simplify]: Extracting #8: cost 0 inf + 213780
592.280 * * [simplify]: Extracting #9: cost 0 inf + 212980
592.332 * [simplify]: Simplified to (sqrt (* (* (* (+ phi2 phi1) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))
592.333 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (+ phi2 phi1) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))))
592.333 * * * * [progress]: [ 908 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
592.333 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
592.334 * * [simplify]: iters left: 6 (53 enodes)
592.347 * * [simplify]: iters left: 5 (264 enodes)
592.406 * * [simplify]: Extracting #0: cost 1 inf + 0
592.406 * * [simplify]: Extracting #1: cost 3 inf + 0
592.406 * * [simplify]: Extracting #2: cost 6 inf + 0
592.406 * * [simplify]: Extracting #3: cost 62 inf + 0
592.406 * * [simplify]: Extracting #4: cost 151 inf + 0
592.407 * * [simplify]: Extracting #5: cost 224 inf + 44
592.408 * * [simplify]: Extracting #6: cost 292 inf + 3507
592.411 * * [simplify]: Extracting #7: cost 251 inf + 11261
592.415 * * [simplify]: Extracting #8: cost 158 inf + 33770
592.426 * * [simplify]: Extracting #9: cost 67 inf + 67601
592.450 * * [simplify]: Extracting #10: cost 9 inf + 116909
592.475 * * [simplify]: Extracting #11: cost 0 inf + 128454
592.501 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
592.502 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
592.502 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
592.503 * * [simplify]: iters left: 6 (26 enodes)
592.509 * * [simplify]: iters left: 5 (121 enodes)
592.534 * * [simplify]: iters left: 4 (374 enodes)
592.684 * * [simplify]: Extracting #0: cost 1 inf + 0
592.684 * * [simplify]: Extracting #1: cost 3 inf + 0
592.684 * * [simplify]: Extracting #2: cost 62 inf + 0
592.685 * * [simplify]: Extracting #3: cost 306 inf + 0
592.686 * * [simplify]: Extracting #4: cost 420 inf + 126
592.689 * * [simplify]: Extracting #5: cost 443 inf + 7701
592.697 * * [simplify]: Extracting #6: cost 317 inf + 37881
592.726 * * [simplify]: Extracting #7: cost 106 inf + 130831
592.770 * * [simplify]: Extracting #8: cost 7 inf + 189437
592.820 * * [simplify]: Extracting #9: cost 0 inf + 193544
592.869 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
592.869 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
592.870 * * * * [progress]: [ 909 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
592.870 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
592.870 * * [simplify]: iters left: 6 (47 enodes)
592.883 * * [simplify]: iters left: 5 (228 enodes)
592.931 * * [simplify]: Extracting #0: cost 1 inf + 0
592.931 * * [simplify]: Extracting #1: cost 3 inf + 0
592.931 * * [simplify]: Extracting #2: cost 6 inf + 0
592.931 * * [simplify]: Extracting #3: cost 54 inf + 0
592.931 * * [simplify]: Extracting #4: cost 119 inf + 0
592.931 * * [simplify]: Extracting #5: cost 172 inf + 44
592.932 * * [simplify]: Extracting #6: cost 254 inf + 1192
592.933 * * [simplify]: Extracting #7: cost 233 inf + 4486
592.937 * * [simplify]: Extracting #8: cost 165 inf + 18942
592.943 * * [simplify]: Extracting #9: cost 96 inf + 40373
592.956 * * [simplify]: Extracting #10: cost 39 inf + 76949
592.974 * * [simplify]: Extracting #11: cost 13 inf + 95140
592.997 * * [simplify]: Extracting #12: cost 1 inf + 105128
593.018 * * [simplify]: Extracting #13: cost 0 inf + 106953
593.039 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))))
593.039 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
593.040 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))
593.040 * * [simplify]: iters left: 6 (21 enodes)
593.045 * * [simplify]: iters left: 5 (99 enodes)
593.064 * * [simplify]: iters left: 4 (304 enodes)
593.162 * * [simplify]: Extracting #0: cost 1 inf + 0
593.162 * * [simplify]: Extracting #1: cost 3 inf + 0
593.162 * * [simplify]: Extracting #2: cost 35 inf + 0
593.162 * * [simplify]: Extracting #3: cost 156 inf + 0
593.163 * * [simplify]: Extracting #4: cost 244 inf + 2
593.164 * * [simplify]: Extracting #5: cost 313 inf + 375
593.170 * * [simplify]: Extracting #6: cost 196 inf + 30884
593.193 * * [simplify]: Extracting #7: cost 14 inf + 100799
593.221 * * [simplify]: Extracting #8: cost 0 inf + 99922
593.246 * * [simplify]: Extracting #9: cost 0 inf + 98882
593.271 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
593.271 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
593.272 * * * * [progress]: [ 910 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
593.272 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
593.273 * * [simplify]: iters left: 6 (52 enodes)
593.286 * * [simplify]: iters left: 5 (256 enodes)
593.342 * * [simplify]: Extracting #0: cost 1 inf + 0
593.342 * * [simplify]: Extracting #1: cost 3 inf + 0
593.342 * * [simplify]: Extracting #2: cost 10 inf + 0
593.342 * * [simplify]: Extracting #3: cost 74 inf + 0
593.342 * * [simplify]: Extracting #4: cost 136 inf + 42
593.343 * * [simplify]: Extracting #5: cost 193 inf + 248
593.344 * * [simplify]: Extracting #6: cost 275 inf + 2404
593.345 * * [simplify]: Extracting #7: cost 249 inf + 9064
593.348 * * [simplify]: Extracting #8: cost 179 inf + 21964
593.354 * * [simplify]: Extracting #9: cost 120 inf + 37793
593.364 * * [simplify]: Extracting #10: cost 60 inf + 66693
593.388 * * [simplify]: Extracting #11: cost 6 inf + 115574
593.413 * * [simplify]: Extracting #12: cost 0 inf + 121764
593.441 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
593.441 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
593.441 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
593.442 * * [simplify]: iters left: 6 (24 enodes)
593.447 * * [simplify]: iters left: 5 (112 enodes)
593.468 * * [simplify]: iters left: 4 (321 enodes)
593.570 * * [simplify]: Extracting #0: cost 1 inf + 0
593.570 * * [simplify]: Extracting #1: cost 3 inf + 0
593.570 * * [simplify]: Extracting #2: cost 33 inf + 0
593.570 * * [simplify]: Extracting #3: cost 144 inf + 0
593.571 * * [simplify]: Extracting #4: cost 249 inf + 412
593.572 * * [simplify]: Extracting #5: cost 315 inf + 1270
593.577 * * [simplify]: Extracting #6: cost 218 inf + 28063
593.599 * * [simplify]: Extracting #7: cost 28 inf + 107697
593.632 * * [simplify]: Extracting #8: cost 0 inf + 115226
593.661 * * [simplify]: Extracting #9: cost 0 inf + 112466
593.690 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
593.690 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))))
593.690 * * * * [progress]: [ 911 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
593.691 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
593.691 * * [simplify]: iters left: 6 (47 enodes)
593.704 * * [simplify]: iters left: 5 (228 enodes)
593.751 * * [simplify]: Extracting #0: cost 1 inf + 0
593.751 * * [simplify]: Extracting #1: cost 3 inf + 0
593.751 * * [simplify]: Extracting #2: cost 10 inf + 0
593.751 * * [simplify]: Extracting #3: cost 66 inf + 0
593.751 * * [simplify]: Extracting #4: cost 117 inf + 44
593.752 * * [simplify]: Extracting #5: cost 156 inf + 1348
593.753 * * [simplify]: Extracting #6: cost 241 inf + 2972
593.754 * * [simplify]: Extracting #7: cost 241 inf + 3548
593.757 * * [simplify]: Extracting #8: cost 165 inf + 17659
593.764 * * [simplify]: Extracting #9: cost 101 inf + 43327
593.777 * * [simplify]: Extracting #10: cost 40 inf + 69323
593.793 * * [simplify]: Extracting #11: cost 7 inf + 94268
593.813 * * [simplify]: Extracting #12: cost 1 inf + 101978
593.833 * * [simplify]: Extracting #13: cost 0 inf + 103683
593.853 * * [simplify]: Extracting #14: cost 0 inf + 103603
593.873 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))
593.873 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
593.874 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
593.874 * * [simplify]: iters left: 6 (20 enodes)
593.879 * * [simplify]: iters left: 5 (94 enodes)
593.896 * * [simplify]: iters left: 4 (264 enodes)
593.969 * * [simplify]: Extracting #0: cost 1 inf + 0
593.969 * * [simplify]: Extracting #1: cost 3 inf + 0
593.969 * * [simplify]: Extracting #2: cost 23 inf + 0
593.969 * * [simplify]: Extracting #3: cost 70 inf + 0
593.970 * * [simplify]: Extracting #4: cost 141 inf + 2
593.970 * * [simplify]: Extracting #5: cost 216 inf + 44
593.973 * * [simplify]: Extracting #6: cost 145 inf + 16603
593.986 * * [simplify]: Extracting #7: cost 11 inf + 56590
594.002 * * [simplify]: Extracting #8: cost 0 inf + 57659
594.020 * * [simplify]: Extracting #9: cost 0 inf + 57139
594.035 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
594.035 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))))
594.036 * * * * [progress]: [ 912 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
594.036 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
594.037 * * [simplify]: iters left: 6 (52 enodes)
594.052 * * [simplify]: iters left: 5 (256 enodes)
594.109 * * [simplify]: Extracting #0: cost 1 inf + 0
594.109 * * [simplify]: Extracting #1: cost 3 inf + 0
594.109 * * [simplify]: Extracting #2: cost 10 inf + 0
594.109 * * [simplify]: Extracting #3: cost 74 inf + 0
594.110 * * [simplify]: Extracting #4: cost 136 inf + 42
594.110 * * [simplify]: Extracting #5: cost 193 inf + 248
594.111 * * [simplify]: Extracting #6: cost 279 inf + 1476
594.112 * * [simplify]: Extracting #7: cost 256 inf + 7441
594.115 * * [simplify]: Extracting #8: cost 178 inf + 22006
594.121 * * [simplify]: Extracting #9: cost 120 inf + 37953
594.132 * * [simplify]: Extracting #10: cost 61 inf + 66689
594.153 * * [simplify]: Extracting #11: cost 6 inf + 116534
594.181 * * [simplify]: Extracting #12: cost 0 inf + 122724
594.207 * [simplify]: Simplified to (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
594.207 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
594.208 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
594.208 * * [simplify]: iters left: 6 (24 enodes)
594.213 * * [simplify]: iters left: 5 (112 enodes)
594.234 * * [simplify]: iters left: 4 (321 enodes)
594.337 * * [simplify]: Extracting #0: cost 1 inf + 0
594.337 * * [simplify]: Extracting #1: cost 3 inf + 0
594.337 * * [simplify]: Extracting #2: cost 33 inf + 0
594.337 * * [simplify]: Extracting #3: cost 144 inf + 0
594.338 * * [simplify]: Extracting #4: cost 249 inf + 412
594.340 * * [simplify]: Extracting #5: cost 315 inf + 1270
594.345 * * [simplify]: Extracting #6: cost 218 inf + 28063
594.368 * * [simplify]: Extracting #7: cost 28 inf + 107697
594.401 * * [simplify]: Extracting #8: cost 0 inf + 115226
594.430 * * [simplify]: Extracting #9: cost 0 inf + 112466
594.458 * [simplify]: Simplified to (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))
594.459 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- lambda1 lambda2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))))))
594.459 * * * * [progress]: [ 913 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))>
594.460 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
594.460 * * [simplify]: iters left: 6 (47 enodes)
594.472 * * [simplify]: iters left: 5 (228 enodes)
594.520 * * [simplify]: Extracting #0: cost 1 inf + 0
594.521 * * [simplify]: Extracting #1: cost 3 inf + 0
594.521 * * [simplify]: Extracting #2: cost 10 inf + 0
594.521 * * [simplify]: Extracting #3: cost 65 inf + 0
594.521 * * [simplify]: Extracting #4: cost 116 inf + 86
594.522 * * [simplify]: Extracting #5: cost 152 inf + 1836
594.523 * * [simplify]: Extracting #6: cost 241 inf + 2932
594.524 * * [simplify]: Extracting #7: cost 241 inf + 3507
594.527 * * [simplify]: Extracting #8: cost 160 inf + 19513
594.534 * * [simplify]: Extracting #9: cost 100 inf + 43731
594.546 * * [simplify]: Extracting #10: cost 39 inf + 70028
594.564 * * [simplify]: Extracting #11: cost 7 inf + 94508
594.584 * * [simplify]: Extracting #12: cost 1 inf + 102218
594.605 * * [simplify]: Extracting #13: cost 0 inf + 103923
594.625 * * [simplify]: Extracting #14: cost 0 inf + 103843
594.646 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))))))
594.646 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))))))
594.647 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))
594.647 * * [simplify]: iters left: 6 (20 enodes)
594.652 * * [simplify]: iters left: 5 (94 enodes)
594.671 * * [simplify]: iters left: 4 (264 enodes)
594.744 * * [simplify]: Extracting #0: cost 1 inf + 0
594.744 * * [simplify]: Extracting #1: cost 3 inf + 0
594.744 * * [simplify]: Extracting #2: cost 23 inf + 0
594.744 * * [simplify]: Extracting #3: cost 70 inf + 0
594.745 * * [simplify]: Extracting #4: cost 141 inf + 2
594.746 * * [simplify]: Extracting #5: cost 216 inf + 44
594.749 * * [simplify]: Extracting #6: cost 145 inf + 16603
594.761 * * [simplify]: Extracting #7: cost 11 inf + 56590
594.777 * * [simplify]: Extracting #8: cost 0 inf + 57659
594.792 * * [simplify]: Extracting #9: cost 0 inf + 57139
594.809 * [simplify]: Simplified to (sqrt (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))
594.809 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))))))
594.810 * * * * [progress]: [ 914 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
594.810 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
594.810 * * [simplify]: iters left: 6 (48 enodes)
594.822 * * [simplify]: iters left: 5 (227 enodes)
594.868 * * [simplify]: Extracting #0: cost 1 inf + 0
594.869 * * [simplify]: Extracting #1: cost 3 inf + 0
594.869 * * [simplify]: Extracting #2: cost 6 inf + 0
594.869 * * [simplify]: Extracting #3: cost 48 inf + 0
594.869 * * [simplify]: Extracting #4: cost 112 inf + 0
594.869 * * [simplify]: Extracting #5: cost 184 inf + 0
594.870 * * [simplify]: Extracting #6: cost 253 inf + 974
594.871 * * [simplify]: Extracting #7: cost 210 inf + 9285
594.877 * * [simplify]: Extracting #8: cost 114 inf + 29883
594.887 * * [simplify]: Extracting #9: cost 42 inf + 60850
594.904 * * [simplify]: Extracting #10: cost 5 inf + 97467
594.924 * * [simplify]: Extracting #11: cost 0 inf + 103251
594.944 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
594.944 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
594.945 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
594.945 * * [simplify]: iters left: 6 (23 enodes)
594.950 * * [simplify]: iters left: 5 (104 enodes)
594.973 * * [simplify]: iters left: 4 (307 enodes)
595.102 * * [simplify]: Extracting #0: cost 1 inf + 0
595.102 * * [simplify]: Extracting #1: cost 3 inf + 0
595.102 * * [simplify]: Extracting #2: cost 37 inf + 0
595.103 * * [simplify]: Extracting #3: cost 262 inf + 0
595.104 * * [simplify]: Extracting #4: cost 430 inf + 84
595.107 * * [simplify]: Extracting #5: cost 416 inf + 6009
595.121 * * [simplify]: Extracting #6: cost 205 inf + 84825
595.161 * * [simplify]: Extracting #7: cost 14 inf + 184715
595.209 * * [simplify]: Extracting #8: cost 0 inf + 180885
595.251 * * [simplify]: Extracting #9: cost 0 inf + 178885
595.296 * [simplify]: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))))
595.296 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))))))
595.297 * * * * [progress]: [ 915 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
595.297 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
595.298 * * [simplify]: iters left: 6 (49 enodes)
595.310 * * [simplify]: iters left: 5 (236 enodes)
595.361 * * [simplify]: Extracting #0: cost 1 inf + 0
595.361 * * [simplify]: Extracting #1: cost 3 inf + 0
595.361 * * [simplify]: Extracting #2: cost 6 inf + 0
595.361 * * [simplify]: Extracting #3: cost 52 inf + 0
595.361 * * [simplify]: Extracting #4: cost 135 inf + 0
595.362 * * [simplify]: Extracting #5: cost 197 inf + 85
595.363 * * [simplify]: Extracting #6: cost 221 inf + 7261
595.365 * * [simplify]: Extracting #7: cost 199 inf + 12178
595.368 * * [simplify]: Extracting #8: cost 152 inf + 19523
595.373 * * [simplify]: Extracting #9: cost 100 inf + 33404
595.382 * * [simplify]: Extracting #10: cost 48 inf + 60870
595.399 * * [simplify]: Extracting #11: cost 4 inf + 100210
595.419 * * [simplify]: Extracting #12: cost 0 inf + 104548
595.441 * [simplify]: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (+ phi2 phi1)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))))
595.441 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (+ phi2 phi1)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
595.442 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
595.442 * * [simplify]: iters left: 6 (24 enodes)
595.447 * * [simplify]: iters left: 5 (107 enodes)
595.467 * * [simplify]: iters left: 4 (303 enodes)
595.585 * * [simplify]: Extracting #0: cost 1 inf + 0
595.585 * * [simplify]: Extracting #1: cost 3 inf + 0
595.586 * * [simplify]: Extracting #2: cost 66 inf + 0
595.586 * * [simplify]: Extracting #3: cost 279 inf + 0
595.588 * * [simplify]: Extracting #4: cost 370 inf + 494
595.592 * * [simplify]: Extracting #5: cost 358 inf + 6734
595.607 * * [simplify]: Extracting #6: cost 169 inf + 86699
595.646 * * [simplify]: Extracting #7: cost 10 inf + 168068
595.684 * * [simplify]: Extracting #8: cost 0 inf + 161065
595.720 * * [simplify]: Extracting #9: cost 0 inf + 160265
595.757 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))))
595.758 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2))) (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (+ phi2 phi1)) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)))))))
595.758 * * * * [progress]: [ 916 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
595.758 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
595.759 * * [simplify]: iters left: 6 (49 enodes)
595.772 * * [simplify]: iters left: 5 (236 enodes)
595.823 * * [simplify]: Extracting #0: cost 1 inf + 0
595.823 * * [simplify]: Extracting #1: cost 3 inf + 0
595.823 * * [simplify]: Extracting #2: cost 6 inf + 0
595.823 * * [simplify]: Extracting #3: cost 54 inf + 0
595.823 * * [simplify]: Extracting #4: cost 133 inf + 0
595.824 * * [simplify]: Extracting #5: cost 192 inf + 166
595.825 * * [simplify]: Extracting #6: cost 225 inf + 5404
595.827 * * [simplify]: Extracting #7: cost 196 inf + 12618
595.831 * * [simplify]: Extracting #8: cost 134 inf + 24139
595.837 * * [simplify]: Extracting #9: cost 71 inf + 44209
595.851 * * [simplify]: Extracting #10: cost 30 inf + 78632
595.871 * * [simplify]: Extracting #11: cost 1 inf + 103056
595.892 * * [simplify]: Extracting #12: cost 0 inf + 103780
595.915 * [simplify]: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))))
595.915 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
595.916 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
595.916 * * [simplify]: iters left: 6 (24 enodes)
595.921 * * [simplify]: iters left: 5 (107 enodes)
595.942 * * [simplify]: iters left: 4 (301 enodes)
596.060 * * [simplify]: Extracting #0: cost 1 inf + 0
596.060 * * [simplify]: Extracting #1: cost 3 inf + 0
596.060 * * [simplify]: Extracting #2: cost 56 inf + 0
596.060 * * [simplify]: Extracting #3: cost 254 inf + 0
596.062 * * [simplify]: Extracting #4: cost 329 inf + 617
596.065 * * [simplify]: Extracting #5: cost 303 inf + 9445
596.079 * * [simplify]: Extracting #6: cost 146 inf + 76724
596.115 * * [simplify]: Extracting #7: cost 2 inf + 146551
596.153 * * [simplify]: Extracting #8: cost 0 inf + 137358
596.186 * * [simplify]: Extracting #9: cost 0 inf + 137198
596.218 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))))
596.218 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))))))))
596.219 * * * * [progress]: [ 917 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
596.219 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
596.219 * * [simplify]: iters left: 6 (43 enodes)
596.231 * * [simplify]: iters left: 5 (199 enodes)
596.270 * * [simplify]: Extracting #0: cost 1 inf + 0
596.270 * * [simplify]: Extracting #1: cost 3 inf + 0
596.270 * * [simplify]: Extracting #2: cost 6 inf + 0
596.270 * * [simplify]: Extracting #3: cost 46 inf + 0
596.270 * * [simplify]: Extracting #4: cost 101 inf + 0
596.270 * * [simplify]: Extracting #5: cost 140 inf + 167
596.271 * * [simplify]: Extracting #6: cost 195 inf + 1717
596.272 * * [simplify]: Extracting #7: cost 186 inf + 3509
596.275 * * [simplify]: Extracting #8: cost 121 inf + 15913
596.280 * * [simplify]: Extracting #9: cost 71 inf + 33831
596.295 * * [simplify]: Extracting #10: cost 13 inf + 73393
596.311 * * [simplify]: Extracting #11: cost 0 inf + 83799
596.328 * * [simplify]: Extracting #12: cost 0 inf + 83279
596.344 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))))
596.344 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
596.345 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))
596.345 * * [simplify]: iters left: 6 (19 enodes)
596.349 * * [simplify]: iters left: 5 (86 enodes)
596.364 * * [simplify]: iters left: 4 (232 enodes)
596.430 * * [simplify]: Extracting #0: cost 1 inf + 0
596.430 * * [simplify]: Extracting #1: cost 3 inf + 0
596.430 * * [simplify]: Extracting #2: cost 28 inf + 0
596.431 * * [simplify]: Extracting #3: cost 134 inf + 0
596.431 * * [simplify]: Extracting #4: cost 186 inf + 250
596.432 * * [simplify]: Extracting #5: cost 193 inf + 3418
596.440 * * [simplify]: Extracting #6: cost 131 inf + 20489
596.455 * * [simplify]: Extracting #7: cost 16 inf + 68290
596.471 * * [simplify]: Extracting #8: cost 0 inf + 67859
596.487 * * [simplify]: Extracting #9: cost 0 inf + 66499
596.503 * [simplify]: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ phi1 phi2)) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ phi1 phi2)))))
596.503 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ phi1 phi2)) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ phi1 phi2))))))))
596.504 * * * * [progress]: [ 918 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
596.504 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
596.504 * * [simplify]: iters left: 6 (48 enodes)
596.517 * * [simplify]: iters left: 5 (227 enodes)
596.564 * * [simplify]: Extracting #0: cost 1 inf + 0
596.564 * * [simplify]: Extracting #1: cost 3 inf + 0
596.564 * * [simplify]: Extracting #2: cost 10 inf + 0
596.564 * * [simplify]: Extracting #3: cost 62 inf + 0
596.564 * * [simplify]: Extracting #4: cost 115 inf + 42
596.565 * * [simplify]: Extracting #5: cost 161 inf + 207
596.566 * * [simplify]: Extracting #6: cost 216 inf + 2123
596.567 * * [simplify]: Extracting #7: cost 196 inf + 6996
596.569 * * [simplify]: Extracting #8: cost 144 inf + 15642
596.573 * * [simplify]: Extracting #9: cost 102 inf + 24669
596.580 * * [simplify]: Extracting #10: cost 57 inf + 48181
596.595 * * [simplify]: Extracting #11: cost 8 inf + 87236
596.617 * * [simplify]: Extracting #12: cost 0 inf + 97055
596.636 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
596.636 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
596.637 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
596.637 * * [simplify]: iters left: 6 (22 enodes)
596.642 * * [simplify]: iters left: 5 (99 enodes)
596.659 * * [simplify]: iters left: 4 (243 enodes)
596.725 * * [simplify]: Extracting #0: cost 1 inf + 0
596.725 * * [simplify]: Extracting #1: cost 3 inf + 0
596.725 * * [simplify]: Extracting #2: cost 27 inf + 0
596.725 * * [simplify]: Extracting #3: cost 108 inf + 0
596.725 * * [simplify]: Extracting #4: cost 175 inf + 206
596.726 * * [simplify]: Extracting #5: cost 198 inf + 902
596.730 * * [simplify]: Extracting #6: cost 129 inf + 23040
596.746 * * [simplify]: Extracting #7: cost 7 inf + 73174
596.768 * * [simplify]: Extracting #8: cost 0 inf + 67995
596.784 * * [simplify]: Extracting #9: cost 0 inf + 67595
596.801 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))
596.801 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
596.802 * * * * [progress]: [ 919 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
596.802 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2))))))
596.802 * * [simplify]: iters left: 6 (43 enodes)
596.813 * * [simplify]: iters left: 5 (199 enodes)
596.854 * * [simplify]: Extracting #0: cost 1 inf + 0
596.854 * * [simplify]: Extracting #1: cost 3 inf + 0
596.854 * * [simplify]: Extracting #2: cost 10 inf + 0
596.854 * * [simplify]: Extracting #3: cost 54 inf + 0
596.854 * * [simplify]: Extracting #4: cost 95 inf + 86
596.855 * * [simplify]: Extracting #5: cost 121 inf + 1432
596.856 * * [simplify]: Extracting #6: cost 181 inf + 2932
596.857 * * [simplify]: Extracting #7: cost 184 inf + 3303
596.859 * * [simplify]: Extracting #8: cost 125 inf + 14368
596.864 * * [simplify]: Extracting #9: cost 62 inf + 36321
596.877 * * [simplify]: Extracting #10: cost 16 inf + 67628
596.892 * * [simplify]: Extracting #11: cost 3 inf + 74459
596.907 * * [simplify]: Extracting #12: cost 0 inf + 78374
596.923 * [simplify]: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (+ phi2 phi1)))))
596.923 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
596.924 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))
596.924 * * [simplify]: iters left: 6 (18 enodes)
596.930 * * [simplify]: iters left: 5 (81 enodes)
596.944 * * [simplify]: iters left: 4 (186 enodes)
596.985 * * [simplify]: iters left: 3 (471 enodes)
597.113 * * [simplify]: Extracting #0: cost 1 inf + 0
597.113 * * [simplify]: Extracting #1: cost 3 inf + 0
597.113 * * [simplify]: Extracting #2: cost 36 inf + 0
597.113 * * [simplify]: Extracting #3: cost 71 inf + 0
597.113 * * [simplify]: Extracting #4: cost 111 inf + 44
597.114 * * [simplify]: Extracting #5: cost 185 inf + 86
597.117 * * [simplify]: Extracting #6: cost 118 inf + 18688
597.130 * * [simplify]: Extracting #7: cost 12 inf + 50853
597.143 * * [simplify]: Extracting #8: cost 0 inf + 50203
597.156 * * [simplify]: Extracting #9: cost 0 inf + 49763
597.169 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
597.169 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ phi1 phi2) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
597.170 * * * * [progress]: [ 920 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
597.170 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))
597.170 * * [simplify]: iters left: 6 (48 enodes)
597.183 * * [simplify]: iters left: 5 (227 enodes)
597.231 * * [simplify]: Extracting #0: cost 1 inf + 0
597.231 * * [simplify]: Extracting #1: cost 3 inf + 0
597.231 * * [simplify]: Extracting #2: cost 10 inf + 0
597.231 * * [simplify]: Extracting #3: cost 62 inf + 0
597.231 * * [simplify]: Extracting #4: cost 115 inf + 42
597.232 * * [simplify]: Extracting #5: cost 160 inf + 249
597.232 * * [simplify]: Extracting #6: cost 218 inf + 1880
597.234 * * [simplify]: Extracting #7: cost 194 inf + 8704
597.236 * * [simplify]: Extracting #8: cost 144 inf + 15813
597.239 * * [simplify]: Extracting #9: cost 103 inf + 24405
597.247 * * [simplify]: Extracting #10: cost 56 inf + 48846
597.262 * * [simplify]: Extracting #11: cost 8 inf + 87956
597.283 * * [simplify]: Extracting #12: cost 0 inf + 97855
597.302 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
597.302 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
597.303 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
597.303 * * [simplify]: iters left: 6 (22 enodes)
597.308 * * [simplify]: iters left: 5 (99 enodes)
597.325 * * [simplify]: iters left: 4 (243 enodes)
597.394 * * [simplify]: Extracting #0: cost 1 inf + 0
597.394 * * [simplify]: Extracting #1: cost 3 inf + 0
597.394 * * [simplify]: Extracting #2: cost 27 inf + 0
597.394 * * [simplify]: Extracting #3: cost 108 inf + 0
597.395 * * [simplify]: Extracting #4: cost 175 inf + 206
597.395 * * [simplify]: Extracting #5: cost 198 inf + 902
597.399 * * [simplify]: Extracting #6: cost 129 inf + 23040
597.414 * * [simplify]: Extracting #7: cost 7 inf + 73174
597.434 * * [simplify]: Extracting #8: cost 0 inf + 67995
597.451 * * [simplify]: Extracting #9: cost 0 inf + 67595
597.468 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))
597.468 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 (* phi1 phi1)) (* (* phi2 phi2) phi2)) (- phi1 phi2))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))))
597.468 * * * * [progress]: [ 921 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))>
597.469 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2)))))
597.469 * * [simplify]: iters left: 6 (43 enodes)
597.480 * * [simplify]: iters left: 5 (199 enodes)
597.520 * * [simplify]: Extracting #0: cost 1 inf + 0
597.520 * * [simplify]: Extracting #1: cost 3 inf + 0
597.520 * * [simplify]: Extracting #2: cost 10 inf + 0
597.520 * * [simplify]: Extracting #3: cost 53 inf + 0
597.520 * * [simplify]: Extracting #4: cost 96 inf + 44
597.521 * * [simplify]: Extracting #5: cost 125 inf + 1105
597.522 * * [simplify]: Extracting #6: cost 181 inf + 2932
597.523 * * [simplify]: Extracting #7: cost 183 inf + 3384
597.525 * * [simplify]: Extracting #8: cost 124 inf + 14610
597.531 * * [simplify]: Extracting #9: cost 57 inf + 40894
597.544 * * [simplify]: Extracting #10: cost 16 inf + 67089
597.559 * * [simplify]: Extracting #11: cost 3 inf + 74539
597.574 * * [simplify]: Extracting #12: cost 0 inf + 78614
597.592 * [simplify]: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (+ phi2 phi1)))))
597.592 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (* (* (cbrt (* (- lambda1 lambda2) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))))))
597.593 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))
597.593 * * [simplify]: iters left: 6 (18 enodes)
597.597 * * [simplify]: iters left: 5 (81 enodes)
597.611 * * [simplify]: iters left: 4 (186 enodes)
597.653 * * [simplify]: iters left: 3 (471 enodes)
597.779 * * [simplify]: Extracting #0: cost 1 inf + 0
597.779 * * [simplify]: Extracting #1: cost 3 inf + 0
597.779 * * [simplify]: Extracting #2: cost 36 inf + 0
597.779 * * [simplify]: Extracting #3: cost 71 inf + 0
597.779 * * [simplify]: Extracting #4: cost 111 inf + 44
597.780 * * [simplify]: Extracting #5: cost 185 inf + 86
597.783 * * [simplify]: Extracting #6: cost 118 inf + 18688
597.795 * * [simplify]: Extracting #7: cost 12 inf + 50853
597.809 * * [simplify]: Extracting #8: cost 0 inf + 50203
597.822 * * [simplify]: Extracting #9: cost 0 inf + 49763
597.835 * [simplify]: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))
597.835 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) (sqrt (* (+ phi1 phi2) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))))))
597.836 * * * * [progress]: [ 922 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
597.836 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))
597.836 * * [simplify]: iters left: 6 (52 enodes)
597.850 * * [simplify]: iters left: 5 (250 enodes)
597.903 * * [simplify]: Extracting #0: cost 1 inf + 0
597.903 * * [simplify]: Extracting #1: cost 3 inf + 0
597.903 * * [simplify]: Extracting #2: cost 6 inf + 0
597.903 * * [simplify]: Extracting #3: cost 53 inf + 0
597.903 * * [simplify]: Extracting #4: cost 118 inf + 0
597.904 * * [simplify]: Extracting #5: cost 186 inf + 0
597.905 * * [simplify]: Extracting #6: cost 264 inf + 1688
597.906 * * [simplify]: Extracting #7: cost 219 inf + 10048
597.910 * * [simplify]: Extracting #8: cost 121 inf + 30541
597.918 * * [simplify]: Extracting #9: cost 67 inf + 50792
597.938 * * [simplify]: Extracting #10: cost 7 inf + 102545
597.960 * * [simplify]: Extracting #11: cost 1 inf + 108613
597.982 * * [simplify]: Extracting #12: cost 0 inf + 110438
598.004 * [simplify]: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))))
598.004 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
598.005 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
598.005 * * [simplify]: iters left: 6 (25 enodes)
598.011 * * [simplify]: iters left: 5 (116 enodes)
598.036 * * [simplify]: iters left: 4 (345 enodes)
598.182 * * [simplify]: Extracting #0: cost 1 inf + 0
598.182 * * [simplify]: Extracting #1: cost 3 inf + 0
598.182 * * [simplify]: Extracting #2: cost 38 inf + 0
598.182 * * [simplify]: Extracting #3: cost 261 inf + 0
598.184 * * [simplify]: Extracting #4: cost 426 inf + 978
598.188 * * [simplify]: Extracting #5: cost 379 inf + 13208
598.207 * * [simplify]: Extracting #6: cost 172 inf + 104711
598.254 * * [simplify]: Extracting #7: cost 8 inf + 183380
598.299 * * [simplify]: Extracting #8: cost 0 inf + 177007
598.345 * * [simplify]: Extracting #9: cost 0 inf + 176527
598.389 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))
598.389 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))))
598.390 * * * * [progress]: [ 923 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))>
598.390 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))
598.391 * * [simplify]: iters left: 6 (53 enodes)
598.405 * * [simplify]: iters left: 5 (259 enodes)
598.459 * * [simplify]: Extracting #0: cost 1 inf + 0
598.459 * * [simplify]: Extracting #1: cost 3 inf + 0
598.459 * * [simplify]: Extracting #2: cost 6 inf + 0
598.459 * * [simplify]: Extracting #3: cost 56 inf + 0
598.459 * * [simplify]: Extracting #4: cost 140 inf + 0
598.460 * * [simplify]: Extracting #5: cost 199 inf + 44
598.461 * * [simplify]: Extracting #6: cost 246 inf + 3956
598.463 * * [simplify]: Extracting #7: cost 211 inf + 11195
598.467 * * [simplify]: Extracting #8: cost 127 inf + 27726
598.475 * * [simplify]: Extracting #9: cost 67 inf + 51343
598.495 * * [simplify]: Extracting #10: cost 10 inf + 98883
598.516 * * [simplify]: Extracting #11: cost 0 inf + 109710
598.538 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
598.538 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))))))
598.539 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))
598.539 * * [simplify]: iters left: 6 (26 enodes)
598.545 * * [simplify]: iters left: 5 (120 enodes)
598.569 * * [simplify]: iters left: 4 (343 enodes)
598.712 * * [simplify]: Extracting #0: cost 1 inf + 0
598.712 * * [simplify]: Extracting #1: cost 3 inf + 0
598.712 * * [simplify]: Extracting #2: cost 61 inf + 0
598.712 * * [simplify]: Extracting #3: cost 273 inf + 0
598.714 * * [simplify]: Extracting #4: cost 370 inf + 290
598.716 * * [simplify]: Extracting #5: cost 361 inf + 5081
598.733 * * [simplify]: Extracting #6: cost 151 inf + 96079
598.772 * * [simplify]: Extracting #7: cost 5 inf + 164306
598.812 * * [simplify]: Extracting #8: cost 0 inf + 157285
598.850 * * [simplify]: Extracting #9: cost 0 inf + 156605
598.889 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))))
598.889 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))))) (* (* (cbrt (* (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)))))))
598.889 * * * * [progress]: [ 924 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))>
598.890 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))
598.890 * * [simplify]: iters left: 6 (53 enodes)
598.904 * * [simplify]: iters left: 5 (259 enodes)
598.962 * * [simplify]: Extracting #0: cost 1 inf + 0
598.962 * * [simplify]: Extracting #1: cost 3 inf + 0
598.962 * * [simplify]: Extracting #2: cost 6 inf + 0
598.962 * * [simplify]: Extracting #3: cost 58 inf + 0
598.962 * * [simplify]: Extracting #4: cost 138 inf + 0
598.963 * * [simplify]: Extracting #5: cost 195 inf + 44
598.964 * * [simplify]: Extracting #6: cost 238 inf + 5162
598.966 * * [simplify]: Extracting #7: cost 206 inf + 12661
598.971 * * [simplify]: Extracting #8: cost 135 inf + 27667
598.979 * * [simplify]: Extracting #9: cost 81 inf + 47763
598.988 * * [simplify]: Extracting #10: cost 50 inf + 60372
599.000 * * [simplify]: Extracting #11: cost 33 inf + 72037
599.018 * * [simplify]: Extracting #12: cost 7 inf + 98727
599.041 * * [simplify]: Extracting #13: cost 0 inf + 107342
599.062 * [simplify]: Simplified to (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))
599.062 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))))
599.063 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))
599.063 * * [simplify]: iters left: 6 (26 enodes)
599.069 * * [simplify]: iters left: 5 (120 enodes)
599.091 * * [simplify]: iters left: 4 (341 enodes)
599.231 * * [simplify]: Extracting #0: cost 1 inf + 0
599.231 * * [simplify]: Extracting #1: cost 3 inf + 0
599.231 * * [simplify]: Extracting #2: cost 55 inf + 0
599.232 * * [simplify]: Extracting #3: cost 251 inf + 0
599.233 * * [simplify]: Extracting #4: cost 338 inf + 126
599.235 * * [simplify]: Extracting #5: cost 340 inf + 2975
599.249 * * [simplify]: Extracting #6: cost 164 inf + 70076
599.281 * * [simplify]: Extracting #7: cost 6 inf + 144056
599.317 * * [simplify]: Extracting #8: cost 0 inf + 137356
599.350 * * [simplify]: Extracting #9: cost 0 inf + 137196
599.383 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))
599.383 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (* (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))))
599.384 * * * * [progress]: [ 925 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))>
599.384 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))))
599.384 * * [simplify]: iters left: 6 (47 enodes)
599.397 * * [simplify]: iters left: 5 (222 enodes)
599.440 * * [simplify]: Extracting #0: cost 1 inf + 0
599.440 * * [simplify]: Extracting #1: cost 3 inf + 0
599.440 * * [simplify]: Extracting #2: cost 6 inf + 0
599.440 * * [simplify]: Extracting #3: cost 50 inf + 0
599.441 * * [simplify]: Extracting #4: cost 107 inf + 0
599.441 * * [simplify]: Extracting #5: cost 144 inf + 44
599.442 * * [simplify]: Extracting #6: cost 208 inf + 1234
599.443 * * [simplify]: Extracting #7: cost 194 inf + 3675
599.445 * * [simplify]: Extracting #8: cost 135 inf + 15389
599.451 * * [simplify]: Extracting #9: cost 82 inf + 32576
599.463 * * [simplify]: Extracting #10: cost 32 inf + 64792
599.482 * * [simplify]: Extracting #11: cost 2 inf + 86317
599.500 * * [simplify]: Extracting #12: cost 0 inf + 87283
599.518 * [simplify]: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))
599.518 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (* (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
599.519 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))
599.519 * * [simplify]: iters left: 6 (21 enodes)
599.524 * * [simplify]: iters left: 5 (97 enodes)
599.542 * * [simplify]: iters left: 4 (267 enodes)
599.622 * * [simplify]: Extracting #0: cost 1 inf + 0
599.622 * * [simplify]: Extracting #1: cost 3 inf + 0
599.623 * * [simplify]: Extracting #2: cost 29 inf + 0
599.623 * * [simplify]: Extracting #3: cost 133 inf + 0
599.623 * * [simplify]: Extracting #4: cost 194 inf + 84
599.624 * * [simplify]: Extracting #5: cost 214 inf + 1266
599.628 * * [simplify]: Extracting #6: cost 130 inf + 24154
599.642 * * [simplify]: Extracting #7: cost 23 inf + 64714
599.659 * * [simplify]: Extracting #8: cost 0 inf + 69187
599.675 * * [simplify]: Extracting #9: cost 0 inf + 67707
599.691 * [simplify]: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))
599.691 * [simplify]: Simplified (2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))))
599.692 * * * * [progress]: [ 926 / 5906 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))>
599.692 * [simplify]: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))
599.692 * * [simplify]: iters left: 6 (52 enodes)
599.707 * * [simplify]: iters left: 5 (250 enodes)
599.757 * * [simplify]: Extracting #0: cost 1 inf + 0
599.757 * * [simplify]: Extracting #1: cost 3 inf + 0
599.757 * * [simplify]: Extracting #2: cost 10 inf + 0
599.757 * * [simplify]: Extracting #3: cost 66 inf + 0
599.757 * * [simplify]: Extracting #4: cost 126 inf + 1
599.758 * * [simplify]: Extracting #5: cost 167 inf + 207
599.759 * * [simplify]: Extracting #6: cost 235 inf + 1879
599.760 * * [simplify]: Extracting #7: cost 211 inf + 6949
599.763 * * [simplify]: Extracting #8: cost 140 inf + 19357
599.770 * * [simplify]: Extracting #9: cost 80 inf + 44342
599.788 * * [simplify]: Extracting #10: cost 12 inf + 97250
599.809 * * [simplify]: Extracting #11: cost 5 inf + 104301
599.830 * * [simplify]: Extracting #12: cost 0 inf + 108782
599.852 * [simplify]: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2))))))))
599.852 * [simplify]: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (- (* (* phi1 phi1) phi1) (* (* phi2 phi2) phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2)))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (- (* (* lambda1 lambda1) lambda1) (* (* lambda2 lambda2) lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))
599.853 * [simplify]: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))
599.853 * * [simplify]: iters left: 6 (24 enodes)
599.859 * * [simplify]: iters left: 5 (111 enodes)
599.880 * * [simplify]: iters left: 4 (284 enodes)
599.969 * * [simplify]: Extracting #0: cost 1 inf + 0
599.969 * * [simplify]: Extracting #1: cost 3 inf + 0
599.969 * * [simplify]: Extracting #2: cost 29 inf + 0
599.969 * * [simplify]: Extracting #3: cost 132 inf + 0
599.970 * * [simplify]: Extracting #4: cost 204 inf + 412
599.971 * * [simplify]: Extracting #5: cost 226 inf + 1148
599.975 * * [simplify]: Extracting #6: cost 154 inf + 27514
599.992 * * [simplify]: Extracting #7: cost 22 inf + 78787